department of mathematics school of basic sciences

Curriculum and Syllabus

Effective from the Academic year

2018 - 2019

Department of Mathematics

School of Basic Sciences

B.Sc

Mathematics

PROGRAM EDUCATIONAL OBJECTIVES (PEO)

PEO1: To equip students with knowledge, abilities and insight in mathematics and related fields.

PEO2: To enable them to work as a mathematical professional, or qualify for training as scientific researcher.

PEO3: To equip students with the ability to translate and synthesize their understanding towards nature, human and

development.

PEO4: To develop the ability to utilize the mathematical problem solving methods such as analysis, modeling, and

programming and mathematical software applications in addressing the practical and heuristic issues.

PEO5: Use their mathematical knowledge to solve problems; and undertake further studies related to mathematics; and be

able to solve mathematical problems using technology.

PROGRAM OUTCOME (PO)

PO1: Engineering knowledge: Apply the knowledge of mathematics, science, engineering fundamentals, and an

engineering specialization to the solution of complex engineering problems.

PO2: Problem analysis: Identify, formulate, research literature, and analyze complex engineering problems reaching

substantiated conclusions using first principles of mathematics, natural sciences, and engineering sciences.

PO3: Design/development of solutions: Design solutions for complex engineering problems and design system

components or processes that meet the specified needs with appropriate consideration for the public health and

safety, and the cultural, societal, and environmental considerations.

PO4: Conduct investigations of complex problems: Use research-based knowledge and research methods including

design of experiments, analysis and interpretation of data, and synthesis of the information to provide valid

conclusions.

PO5: Modern tool usage: Create, select, and apply appropriate techniques, resources, and modern engineering and IT

tools including prediction and modeling to complex engineering activities with an understanding of the limitations.

PO6: The engineer and society: Apply reasoning informed by the contextual knowledge to assess societal, health,

safety, legal and cultural issues and the consequent responsibilities relevant to the professional engineering

practice.

PO7: Environment and sustainability: Understand the impact of the professional engineering solutions in societal and

environmental contexts, and demonstrate the knowledge of, and need for sustainable development.

PROGRAMME SPECIFIC OUTCOME (PSO)

PSO1: Understand, formulate and use quantitative models arising in social science, business and other contexts.

PSO2: Acquire good knowledge and understanding in advanced areas of mathematics and statistics, chosen by the student

from the given courses..

PSO3: Formulate and develop mathematical arguments in a logical manner.

PSO4: Know when there is a need for information, to be able to identify, locate, evaluate, and effectively use that

information for the issue or problem at hand.

PSO5: Students will learn numerical aptitude applying both qualitative and quantitative knowledge for their future career

VELS INSTITUTE OF SCIENCE, TECHNOLOGY AND ADVANCED STUDIES

(VISTAS) B.SC MATHEMATICS

COURSES OF STUDY AND SCHEME OF ASSESSMENT

CREDITS: 140

SEMESTER 1

Hours/Week Maximum Marks

Code No. Course Lecture Tutorial Practical Credits CA SEE Total

LANG Tamil I/

Hindi / French 5 0 0 5 40 60 100

ENG English I 5 0 0 5 40 60 100

CORE Algebra & Trigonometry 4 0 0 4 40 60 100

CORE Differential Calculus 4 0 0 4 40 60 100

CORE Physics 4 0 0 4 40 60 100

CORE Physics Practical 0 0 2 1 40 60 100

22 0 2 23

SEMESTER 2



LANG Tamil II /

Hindi / French 5 0 0 5 40 60 100

ENG English II 5 0 0 5 40 60 100

CORE Analytical Geometry 4 0 0 4 40 60 100

CORE Integral Calculus 4 0 0 4 40 60 100

CORE Statistics & Probability 4 0 0 4 40 60 100

22 0 0 22

CA - Continuous Assessment

SEE - Semester End Examination




SEMESTER 3


Code

No. Course Lecture Tutorial Practical Credits CA SEE Total

LANG Tamil III /

Hindi / French 5 0 0 5 40 60 100

ENG English - III 5 0 0 5 40 60 100

CORE Fourier Series & Transforms 4 0 0 4 40 60 100

CORE Differential Equations 4 0 0 4 40 60 100

CORE Computer Fundamentals &

Programming In C 3 0 0 3 40 60 100

CORE Practical 0 0 2 1 40 60 100

SEC Soft Skill - I 2 0 0 2 40 60 100

23 0 2 24

SEMESTER 4



LANG Tamil IV /

Hindi / French 5 0 0 5 40 60

100

ENG English IV 5 0 0 5 40 60 100

CORE Statics 4 0 0 4 40 60 100

CORE Discrete Mathematics 4 0 0 4 40 60 100

CORE Numerical Analysis 4 0 0 4 40 60 100

CORE Numerical Analysis

Practical 0 0 2 1 40 60 100

AECC Environmental Studies 2 0 0 2 40 60 100

SEC Soft Skill - II 2 0 0 2 40 60 100

26 0 2 27






SEMESTER 5



DSE Discipline Specific Elective – I

(Algebraic Structure) 4 0 0 5 40 60 100

DSE Discipline Specific Elective –

II (Advanced Calculus) 4 0 0 5 40 60 100


III (Dynamics) 4 0 0 5 40 60 100


IV (Operations Research) 4 0 0 4 40 60 100

GE 3 0 0 2 40 60 100

SEC NSS 2 0 0 2 40 60 100

21 0 0 23

SEMESTER 6




V (Linear Algebra) 4 0 0 4 40 60 100


VI (Real Analysis) 4 0 0 5 40 60 100

DSE Discipline Specific Elective -

VII (Complex Analysis) 4 0 0 4 40 60 100

DSE Discipline Specific Elective -

VII (Graph Theory)) 4 0 0 4 40 60 100

GE 3 0 0 2 40 60 100

SEC/VAC Value Added Course 2 0 0 2 40 60 100

21 0 0 21



List of Core

Subject code Title of the Paper

18CBMS11 Algebra & Trigonometry

18CBMS12 Differential Calculus

18CBMS13 Physics

18PBMS11 Practical

18CBMS21 Analytical Geometry

18CBMS22 Integral Calculus

18CBMS23 Statistics & Probability

18CBMS31 Fourier Series & Transforms

18CBMS32 Differential Equations

18CBMS33 Computer Fundamentals &Programming in C

18CBMS41 Statics

18CBMS42 Discrete Mathematics

18CBMS43 Numerical Analysis

18PBMS41 Practical

List of Discipline Specific Elective (DSE)

Subject code Title of the Paper

DSE1 Algebraic Structure

DSE2 Advanced Calculus

DSE3 Dynamics

DSE4 Operations Research

DSE5 Linear Algebra

DSE6 Real Analysis

DSE7 Complex Analysis

DSE8 Graph Theory

List of Generic Elective (GE)

Subject Code Title of the Paper GE1 Statistics

GE2 Business Mathematics

GE3 Business Statistics

GE4 Operations Research

GE5 Quantitative Aptitude

List Of Languages

Subject Code Title of the Paper

18LEN001 Foundation Course English I

18LTA001 Foundation Course Language I

18LHN001 Hindi Paper –I

18LFR001 French Paper - I

18LEN002 Foundation Course English II

18LTA002 Foundation Course Language II

18LHN002 Hindi Paper –II

18LFR002 French Paper - II

18LTA003 Foundation Course Language III

18LHN003 Hindi Paper –III

18LFR003 French Paper - III

18LTA004 Foundation Course Language IV

18LHN004 Hindi Paper –IV

18LFR004 French Paper – IV

List of Skill Enhancement Course (SEC)

Subject Code Title of the Paper

SEC1 Soft skill-I

SEC2 Soft skill-II

SEC3 Personality Development

SEC3 NSS

SEC4 Value Added Course (Quantitative Techniques)

List of Ability Enhancement Compulsory Course(AECC)

AECC1 Environmental Science

தமிழ்மமொழி, இலக்கியவரலொறு – அறிமுகம் L T P Credits

5 0 0 5

ந ொக்கம்:ிழ்மொிற்றும்இனக்கித்ின்னொற்றநஅநினகம்மெய்னேம்நொக்கில்இப்தொடம்டிறக்கப்தட்டுள்பது .ிழ்மொிின்னொற்றநஅநிில்கண்நொட்டத்துடனும்மொிக்குடும்தங்கபின்அடிப்தறடிலும்ிபக்குகிநது .ெங்கஇனக்கிம்மொடங்கி, இக்கொனஇனக்கிம்றினொணிினக்கினொற்றநஇனக்கினொறுஅநினகப்தடுத்துகின்நது.அசுநறனொய்ப்திற்கொணநதொட்டித்நர்வுகளுக்குப்தன்தடும்றகிலும்இப்தொடம்அறந்துள்பது.

அனகு 1 ிழ்மொினொறு 13 ிநம்

மொிக்குடும்தம்-இந்ிமொிக்குடும்தங்கள்-இந்ிஆட்ெிமொிகள் -

ிொிடமொிக்குடும்தங்கள்- ிொிடமொிகபின்றககள் –ிொிடமொிகபின்ெிநப்னகள்

-ிொிடமொிகபின்ங்கிடங்கள்-ிொிடமொிகளுள்ிின்இடம் -

ிழ்மொிின்ெிநப்னகள் - ிழ்திநமொித்மொடர்னகள் .

அனகு 2 ெங்கஇனக்கிம் 12 ிநம்

ெங்கஇனக்கிம் - எட்டுத்மொறக - ற்நிற - குறுந்மொறக - ஐங்குறுதறு - திற்றுப்தத்து -

தரிதொடல் - கனித்மொறக - அகொனூறு - னநொனூறு - தத்துப்தொட்டு – ினனனகொற்றுப்தறட –

ெிறுதொொற்றுப்தறட – மதனம்தொொற்றுப்தறட – மதொனொற்றுப்தறட – றனதடுகடொம் –

குநிஞ்ெிப்தொட்டு, னல்றனப்தொட்டு, தட்டிணப்தொறன –மடுல்ொறட – துறக்கொஞ்ெி.

அனகு 3 அநஇனக்கிங்களும்கொப்திங்களும் 11 ிநம்

கபப்திர்கொனம்ிபக்கம் – ீிஇனக்கித்ின்ெனெகத்நற -

திமணண்கீழ்க்கக்குதல்கள்அநினகம் - ினக்குநள், ொனடிொர்.

கொப்திங்கள் – ஐம்மதனங்கொப்திங்கள்ற்றும்ஐஞ்ெிறுங்கொப்திங்கள்அநினகம் –

கொப்திஇனக்கம் - ெினப்திகொம் – ிநகறன – ெீகெிந்ொி – றபொதி –

குண்டனநகெி.

அனகு 4 தக்ிஇனக்கிங்களும்ெிற்நினக்கிங்களும் 11 ிநம்

ிகப்தக்ிஇக்கங்கள் - தக்ிஇனக்கிங்கள் - றெஇனக்கிம் -

ொன்ொர்கள்அறுதத்துனெர் - ெக்குர்ொல்ர் - றஇனக்கிம் -

தன்ணினஆழ்ொர்கள் - னல்னென்றுஆழ்ொர்கள்.

ெிற்நினக்கிக்கொனம் - ெிற்நினக்கிங்கள் - றககள் - தி - கனிங்கத்துப்தி - குநஞ்ெி - குற்நொனக்குநஞ்ெி - திள்றபத்ிழ் - ீணொட்ெிம்றப்திள்றபத்ிழ் - தூது - ிழ்ிடுதூது

- கனம்தகம் - ந்ிக்கனம்தகம் - தள்ளு - னக்கூடற்தள்ளு.

அனகு 5 இக்கொனஇனக்கிங்கள் 13 ிநம்

ணீகொனம் – ணீஇனக்கிம் – உள்படக்கம் - னதுக்கிற - நொற்நனம்பர்ச்ெினேம்- ொல்

- னல்னென்றுொல்கள் – ொனின்றககள் - மதொழுதுநதொக்குொல்கள் -

னொற்றுொல்கள் - ெனெகொல்கள் - இக்கொனொல்கள் - மொிமதர்ப்னொல்கள் -

ெிறுகற –றககளும்பர்ச்ெினேம் – ொடகம் –கொனந்நொறும்ொடகங்கள் -

னொஇிகொெொடகங்கள் - ெனெகொடகங்கள் - னொற்றுொடகங்கள் –

மொிமதர்ப்னொடகங்கள் - றகச்சுறொடகங்கள்.

மொத்ம்: 60 ிநம்

COURSE OUTCOME

At the end of this course the students will be able to,

CO1: Recall and recognize heritage and culture of Tamils through History of Tamil Language.

CO2: Interpret the cultural life style of Ancient Tamils

CO3 Evaluate social and indivituals moral value after studying Epics and Ethics Literature.

CO4: Build the humanistic concept and moral life skills after studying divine and minor

Literature.

CO5: Improve their own creativity and writing skills after studying history of Modern Tamil

Litrature.

தொர்றதல்கள்

1. அகத்ினிங்கம். ெ., “ிொிடமொிகள்மொகுி 1”, ிொெகர்திப்தகம், னற்திப்ன, 1978.

2. ெக்ிநல். சு., “ிழ்மொினொறு”, ிொெகர்திப்தகம், னற்திப்ன 1998.

3. னண்ன், “ ிழ்இனக்கினொறு”, றெெித்ொந்தற்திப்னக்ககம் , னற்திப்ன, 1998.

4. ொென். ன., ”இனக்கினொறு”,ெொகித்அகொமி, ஒன்தொம்திப்ன, 1994.

5. ினொணந்ம். து.ெ., “இனக்கினொறு”, தொரிிறனம், றுதிப்ன, 2008.

HINDI-I L T P Credits

5 0 0 4

Unit I „Mamta‟,letter writing,Technical words. 12

Aim Through the story students will be familiar with the writing style of great writer “sriJayashankar

Prasad”,&can understand the situation of country duringMughal period

Unit II „Yogyata aur vyavasaya kaa chunaav‟, letter writing, Technical words. 12

Aim To make the children understand the importance ofselecting a profession according to one‟s own

interest.

Unit III „Rajnithi kaa bantwara‟, letter writing,Technical words. 12

Aim To describe the present situation;politician‟sbehaviour& their selforiented activities.

Unit IV „computer:nayi kranthi ki dastak‟,letter writing,Technical words 12

Aim To explain the importance of computer in daily lifein all the fields.

Unit V Raspriya,letter writing,Technical words 12

Aim This story helps the students to understand the Writing style of writer “Fanishwarnath renu”who

Is wellknown for his village type Stories.Training them different types of letters& technical

words will help the students to understand the official work in Hindi.

Total : 60 Hrs

COURSE OUTCOME


CO1: Through the story students will be familiar with the writing style of great writer “sri

Jayashankar Prasad” & can understand the situation of country during Mughal period .

CO2: To make the children understand the importance of selecting a profession according to one‟s own

interest.

CO3: To describe the present situation; politician‟s behaviour& their selforiented activities.

CO4: To explain the importance of computer in daily life in all the fields.

CO5: This story helps the students to understand the writing style of writer “Fanishwarnath renu” who

Is wellknown for his village type stories.

FRENCH I L T P Credits

5 0 0 4

Objective:

To introduce French Language .

To enable the students to understand and to acquire the basic knowledge of French

Language with the elementary grammar.

UNIT I - INTRODUCTION 12

Introduction - Alphabet – Comment prononcer, écrire et lire les mots- Base : Les prénoms personnel

de 1er

, 2ème et 3ème personnes – Conjugaisons les verbes être et avoir en forme affirmative, négative

et interrogative

UNIT II - Leçons 1- 312 12

Leçons 1.Premiers mots en français,- 2. Les hommes sont difficiles,- 3 Vive la liberté- Réponses aux

questions tirés de la leçon - Grammaire : Les adjectives masculines ou féminines – Les articles

définis et indéfinis - Singuliers et pluriels 12

UNIT III - Leçons 4- 612 Leçons 4. L‟heure, C‟est l ;heure,- 5. Elle va revoir sa

Normandie,- 6 .Mettez –vous d‟accord groupe de nom - Réponses aux questions tirés de la leçon -

Grammaire : A placer et accorder l‟adjectif en groupe de nom- Préposition de lieu –A écrire les

nombres et l‟heure en français

UNIT VI - Leçons 7- 9 12

Leçons7. Trois visage de l‟aventure,- 8. A moi, Auvergne,- 9. Recit de voyage - Réponses aux

questions tirés de la leçon - Grammaire : Adjectif possessif – Les Phrases au Présent de l‟indicatif -

Les phrases avec les verbes pronominaux au présent

UNIT V - Composition : 12

A écrire une lettre à un ami l‟invitant à une célébration différente ex : mariage – A faire le dialogue - A

lire le passage et répondre aux questions

TOTAL : 60 Hrs

COURSE OUTCOME


CO1: This enable students to learn the language without any grammatical errors.

CO2: As a result of the content makes the students to known about the types of pronouns and

their usage.

CO3: This imparts the students in order to develop their basic writing skills.

CO4: Enable students for framing the basics sentence.

CO5: Making the students community to know the french format of letter writing and essay

writing.

TEXT BOOK :

Jacky GIRARDER & Jean Marie GRIDLIG, « Méthode de Français

PANORAMA », Clé Intérnationale , Goyal Publication, New Delhi.,

Edition 2004

REFERENCE BOOKS

1.DONDO Mathurin , “ Modern French Course”, OxfordUniversity Press.,

New Delhi., Edition 1997

2. Nitya Vijayakumar, “Get Ready French Grammar – Elementary”, Goyal

Publications, New Delhi., Edition 2010

ENGLISH- I L T P Credits

5 0 0 5

COURSE OBJECTIVE:

To enable students to develop their communication skills effectively. To make students

familiar with the English Language.

To enrich their vocabulary in English

To develop communicative competency

UNIT I - Preparatory Lesson 12 1. Competition Matters

Suzanne Sievert 2. A Personal Crisis May Change History Dr.

A.P.J. Abdul Kalam

3. Why Preserve Biodiversity

Prof. D. Balasubramanian

UNIT II –Prose 12

1. The Unexpected

Robert Lynd

2. My Greatest Olympic Prize

Jesse Owens

3. If You are wrong, admit it

Dale Carnegie

UNIT III –Poetry 12

1. The Night of the Scorpion

Nissim Ezekiel

2. Pulley or The Gift of God

George Herbert

3. La Bella Dame Sans Merci

John Keats

UNIT IV- Short Story 12

1. The Gift of Magi O

Henry

2. Three Questions

Leo Tolstoy

UNIT V – One Act Play 12

1. The Shirt

Francis Dilion

2. The Pie and the Tart

Hugh Chesterman

Total: 60 Hours

COURSE OUTCOME


CO1: Examine the difference between poetic language and the language of the prose.

CO2: Utilize instructions on fundamentals of grammar.

CO3 : Develop their own style of writing after studying diverse prose essays.

CO4: Classify different poems on the basis of their types.

CO5: Conclude the textual content of both prose and poetry.

Books Prescribed:

Confluence - Anu Chithra Publications

CORE ALGEBRA & TRIGONOMETRY

L T P Credits

4 0 0 4

COURSE OBJECTIVE This course supports the engage students in sound mathematical thinking and reasoning. This should

include students finding patterns, generalizing, and asking/answering relevant questions. Provide a

setting that prepares students to read and learn mathematics on their own.

UNIT- I Theory of Equations

Polynomial equations; Imaginary and irrational roots; Symmetric functions of roots in terms of

coefficients; Reciprocal equations; Transformations of equations 12

UNIT- II Descarte’s Rule of signs

Descarte‟s rule of signs: Approximate solutions of roots of polynomials by Newton-Raphson method-

Horner‟s method; Cardan‟s method of solution of a cubic polynomial. 12

UNIT –III Summation of Series

Binomial, Exponential and Logarithmic series (theorems without proof); summation of finite series

using method of differences - simple problems. 12

UNIT- IV Trigonometry

Expansions of sin x, cos x, tan x in terms of x; sin nx, cos nx, tannx, sinnx , cos

nx, tan

nx, 12

UNIT –V Hyperbolic functions

Hyperbolic and Inverse hyperbolic functions -Sums of Hyperbolic functions, Inverse Hyperbolic

functions. 12

Total: 60 Hours

COURSE OUTCOME


CO1: Explain the nature of the roots and symmetric property of roots in the nth

degree polynomial

CO2: How to find the nature of the roots in 3rd

degree polynomial

CO3: Relate the coefficients and roots of the equation

CO4: Compare the circular function and hyperbolic function

CO5: Construct the hyperbolic function formulae from circular function formulae

TEXT BOOKS

1. Algebra : T. K. Manickavachagam Pillal and others (S. Viswanathan publications)

2. Higher Algebra: H. S. Hall and S. R. Knight (HM publications - 1994)

3. Pure Mathematics : Hardy

REFERENCE BOOKS

1. Trigonometry : P. Duraipandian

2. Plane Trigonometry part 2 : S. L. Loney, (Macmillan and Co. London)

3. Algebra, Analytical Geometry (2D) and Trigonometry: Dr. S. Sudha (Emerald Publishers).

CORE DIFFERENTIAL CALCULUS L T P Credits

4 0 0 4

COURSE OBJECTIVE The objective of this course is to introduce the fundamental ideas of the differential calculus of

functions of one variable and two variables, Fundamental Theorem, Techniques of calculus, application

to geometry and science.

UNIT –I Successive differentiation

nth

derivative, standard results, Leibnitz‟s theorem (Statement only) and its applications;Partial

Differentiation – Chain rule , implicit function , total differentials -Simple problems. 12

UNIT –II Maxima and Minima

Jacobians- Maxima and Minima of functions of two variables- Lagrange‟s method of multipliers for

f(x,y) (Statement only) – Simple problems on these concepts. 12

UNIT –III Radius of curvature

Angle between radius vector and tangent, angle of intersection of two curves, Radius of curvature in

Cartesian form - radius of curvature in polar form- radius of curvature for pedal curve. 12

UNIT –IV Evolutes and Envelopes

Co-ordinates of the Centre of curvature, circle of curvature, Evolutes, Envelopes-Simple problems.

12

UNIT –V Asymptotes

Determination of Asymptotes-Working rule of determining Asymptotes- Finding asymptotes of

rational algebraic curves with special cases-Simple problems. 12

Total: 60 Hours

COURSE OUTCOME


CO1: Explain maxima and minima, critical points and inflection points of functions and to determine the

concepts of the curves.

CO2: How to find the nth derivative and standard result

CO3: Solve the radius of the curvature of the problems using successive differentiation.

CO4: Find evolutes and envelope for the Cartesian and polar coordinate and curvature of pedal equations.

CO5: Solve the asymptotes for rational algebraic curves with special cases.

TEXT BOOKS

1.Calculus -Volume I by T.K.Manickavachagam Pillai , S. Narayanan (S. Viswanathan Publications)

REFERENCE BOOKS

1. Calculus by Dr. P.R.Vittal (Margham Publishers).

2. Mathematics for first semester: P.Kandasamy and others (S.Chand & company)

Course Objective: To make the students to understand the concept of elasticity of a material and

different kinds of moduli; surface tension and viscosity of fluids; thermal conductivity; properties of

sound; interference and diffraction properties of light and principles of magnetism.

UNIT I Elasticity and Bending Moment

Hooke‟s law - Elastic modulli - Work done in stretching and work done in twisting a wire - Twisting

couple on a wire - Determination of rigidity modulus of a wire using torsion pendulum - Expression for

bending moment - Uniform bending - Experiment to determine young‟s modulus using pin and

microscope method. 12

UNIT II Fluids

Surface Tension: Definitions-Expression for surface tension of a liquid by capillary rise method -

Experimental determination of surface tension of water by capillary rise method–Practical applications

of capillarity.

Viscosity: Poiseuille‟s formula forb rate of flow of liquid in a capillary tube by dimensions -

streamlined motion – Stoke‟s formula. 12

UNIT III Thermal Physics and Acoustics

Conduction in solids: Thermal conductivity - Lee‟s disc method - Wiedmann-Franz law – Convection

Newton‟s law of cooling.

Wave motion–Introduction and definition–Audiable range-Infrasonic-Ultrasonics-Progressive waves,

longitudinal and transverse waves–Examples. Sonometer–Experimental determination of frequency of

a tuning fork. Acoustics of buildings–Echo-Reverberation, reverberation time. 12

UNIT IV OPTICS:Interference

Air wedge - determination of diameter of a thin wire by air wedge – Diffraction: Fresnel diffraction &

Fraunhofer diffraction - plane diffraction grating - theory and experiment to determine wavelength

(normal incidence) - Polarization: Double refraction – half wave and quarter wave plate.

12

UNIT V Magnetism and Electromagnetism

Magnetism: Susceptibility - permeability - intensity of magnetization - properties of dia, para and ferro

magnetic materials – Electromagnetism: Faraday‟s laws of electromagnetic induction, Lenz‟s law –

self-inductance – mutual inductance. 12

Total: 60 Hours

COURSE OUTCOME


CO1: Estimate the bending behavior of beams and solve the expression for young's modulus

CO2: Understand the basic concepts of surface tension and viscosity of fluid

CO3: Understand the concept of thermal conductivity of solids and Acoustics

CO4: Estimate the frequency of tuning fork and reverberation time

CO5: Understand the basic concepts of magnetism and electromagnetism

TEXT BOOKS

1. Properties of Matter: R. Murugeshan, S Chand & Co. Pvt. Ltd., New Delhi

2. Heat and thermodynamics: D S Mathur, S Chand & Co., New Delhi

3. Optics: Brij Lal & Subramaniam, S Chand & Co., New Delhi

CORE FUNDAMENDALS OF PHYSICS L T P Credits

4 0 0 4

4. Electricity and magnetism: R Murugeshan , 8th Edn, 2006, S Chand & Co., New Delhi

5. Atomic and Nuclear Physics: Brij Lal & Subramaniam, S Chand & Co., 2000

6. Modern Physics: R Murugeshan, Kiruthiga, Sivaprasath S Chand & Co. 2007

REFERENCE BOOKS

1. Fundamentals of Physics, 6th Edition by D Halliday, R Resnick and J Walker, Wiley NY 2001.

2. Physics, 4th Edition vols. I, II & II Extended by D Halliday, R Resnick and K S Krane, Wiley NY 1994.

CORE ALLIED PHYSICS PRACTICALS L T P Credits

0 0 2 1

Any10 Experiments:

1. Young‟s modulus by uniform bending - Pin and Microscope.

2. Rigidity modulus - torsion pendulum

3. Coefficient of viscosity of a liquid – Poiseuilles method

4. Thermal conductivity of a bad conductor - Lee‟s disc method.

5. Spectrometer - grating - normal incidence method.

6. Air wedge - thickness of a wire

7. Spectrometer - grating - normal incidence method.

8. Spectrometer – Dispersive Power of a prism.

9. Sonometer-Frequency of Tuning Fork

10. Coefficient of viscosity of a liquid – Stoke‟s method

11. Ultrasonic Interferometer

12. Field along the axis of a circular coil – Determination of BH

SEMESTER-II

தமிழிலக்கியம் L T P Credits

5 0 0 5

ந ொக்கம்:ெங்ககொனம்மொடங்கிற்கொனம்றிலும்ிில்உள்பதறடப்தினக்கிங்கறபஇப்தொடம்அநினகம்மெய்கின்நது. ிழ்இனக்கித்ில்நர்ந்மடுக்கப்தட்டிகனக்கிொணமெய்னேட்கள், கிறகள்,

கறகள், உறறடஆகிற்றநக்மகொண்டுஇப்தொடம்கட்டறக்கப்தட்டுள்பது.

ொொக்கரிடம்இனக்கித்நடறனஉனொக்குதும்,

ற்ெொர்னறடஅநிறநம்தடுத்துதும்இப்தொடத்ின்நொக்கொகும்.

அனகு 1 மெவ்ில்இனக்கிங்கள் 12 ிநம்

ினக்குநள்- அன்னறடற, ஒழுக்கனறடற, மதரிொறத்துறக்நகொடல் –

னென்றுஅிகொங்கள்னழுறனேம்.

னநொனூறு- தொடல்எண்: 18, 55, 182, 183, 192 –ஐந்துதொடல்கள்.

குறுந்மொறக- தொடல்எண்: 2, 167, 27, 202, 184 - ஐந்துதொடல்கள்.

அனகு 2 கொப்திங்கள் 12 ிநம்

ெினப்திகொம்- கணொத்ிநம்உறத்க்கொறனழுதும்.

ிநகறன- தத்ிநம்அறுகஎணப்தொறநொற்நகொறனழுதும்.

கம்தொொம் - ந்றச்சூழ்ச்ெிப்தடனம் (நர்ந்மடுக்கப்தட்டஒன்ததுதொடல்கள்).

அனகு 3 கிறனேம்னதுக்கிறனேம் 11 ிநம் தொிொெணின் „ிிக்கம்‟ -(i) மஞ்சுதறக்கும்ிறன - (ii) இனப்தறிடஇநப்ததுன்று -

இண்டுகிறகள்.

ஈநொடுின்தணின், “அந்ந்றணஎரித்மனப்தின்ிச்ெம்” என்னும்மொகுிில்இடம்மதற்றுள்ப

„ிடிகிநது‟ என்னும்னதுக்கிற.

அனகு 4 ெிறுகறகள் 12 ிநம்

ி. ஜொணகிொணின் ‘ெக்ிறத்ிம்’

கி. ொஜொொணின்‘கவு’ - இண்டுகறகள்

அனகு 5 உறறட 13 ிநம்

றனத்துஎழுி ‘ெிற்திநஉன்றணச்மெதுக்குகிநநன்’ னழுதும்


COURSE OUTCOME


CO1: Measure human mind through the studying of Tamil classical literature in

the aspect of moral value.

CO2: Justify the contemporary social issueses through studying Tamil Epics.

CO3 : Build the life skills after studying of the poetry.

CO4: Develop narrative skill after reading short stories.

CO5: Improve their own style of writing after studying Sirpiye Unnai

sethukkukiren essays collection.

தொடதல்கள்

1. இிச்ெந்ின். சு. (த.ஆ), “மெய்னேள்ிட்டு”, நல்ஸ்தல்கறனக்ககம், னற்திப்ன, 2008.

2. றனத்து. இொ., “ெிற்திநஉன்றணச்மெதுக்குகிநநன்”, ினகள்ிறனம், திநணொம்திப்ன, 2007.


1. தொனச்ெந்ின்.சு., “இனக்கித்ிநணொய்வு”, ினைமெஞ்சுரினக்ஹவுஸ், தத்ொம்திப்ன, 2007.

2. ொறன்.மத., “ிழ்ச்மெவ்ில்தறடப்னகள்”, ினைமெஞ்சுரினக்ஹவுஸ், னல்திப்ன, 2009.

3. ொென்.ன., “குநள்கொட்டும்கொனர்”, தொரிிறனம், றுதிப்ன, 2005.

HINDI II

(kahani, Ekanki & Translation)

L T P Credits

5 0 0 4

Unit I ‘Pus ki raath’(kahani), Translation 12

Aim This story explains the problems faced by the farmers

„Upanyas samrat Premchand‟ describes the life of a

poor farmer who represents present day‟s situation

Aim ‘Das hazar’(ekanki),Translation

Author „Uday Shankar bhatt‟ criticized the rich&stingy person‟s behaviour and

explains the importance of humanvalues in a humorous mannner

By translating the English passage into Hindi,students learn the rules which

should be followed while translation.

Unit II ‘vaapasi’(kahani), Translation 12

Aim Female writer‟Usha priyamvada „describes the mentality of a retired person in a

beautiful manner

Aim ‘Akhbaari vijnapan‟(ekanki), Translation

This humorous story written by „chiranchith‟points out the problems occur due to

Carelessness & lack of communication.

Unit III ‘Akeli’(kahani),Translation 12

Aim Writer „Mannu bhandari‟describes the condition of middle aged woman left

lonely who longs only for love &affection&nothing else.

Aim „Raat ke raahi’, (ekanki), Translation

‘Vrajabhushan‟ shows the clear picture of cunning woman and creates

Awareness

Unit IV ‘Parda’(kahani),Translation 12

Aim Written by „Yashpal‟,this story brings the clear picture of problems

Faced by a poor muslim family.

Aim „Maim bhi maanav huum’(ekanki), Translation

Author „vishnu prabhakar‟ describes the kalinga war&reasons behind

samrat Ashok‟s change of mind.

Unit V ‘Sharandata’(kahani),Translation 12

Aim This story written by „Anjeya explains the situation of Indian people

who lived in Pakistan region after separation .

Aim ‘Yah meri janma bhumi hai’‘(ekanki), Translation

„Harikrishna premi‟ points out the patriotism of a british girl who

was born in India &also the country‟s condition at that time.

Total: 60 Hours

COURSE OUTCOME


CO1 ‘ Pus ki raath’(kahani), Translation

This story explains the problems faced by the farmers

„Upanyas samrat Premchand‟ describes the life of a

poor farmer who represents present day‟s situation

‘Das hazar’(ekanki),Translation

Author „Uday Shankar bhatt‟ criticized the rich&stingy person‟s behaviour and

explains the importance of humanvalues in a humorous mannner

By translating the English passage into Hindi,students learn the rules which

should be followed while translation.

CO2: ‘vaapasi’(kahani), Translation

Female writer‟Usha priyamvada „describes the mentality of a retired person in a

beautiful manner

‘ Akhbaari vijnapan‟(ekanki), Translation

This humorous story written by „chiranchith‟points out the problems occur due to

carelessness&lack of communication

CO3: ‘Akeli’(kahani), Translation

Writer „Mannu bhandari‟describes the condition of middle aged woman left

lonely who longs only for love &affection&nothing else.

„Raat ke raahi’, (ekanki), Translation

‘Vrajabhushan‟ shows the clear picture of cunning woman and creates

Awareness

CO4: ‘Parda’(kahani), Translation

Written by „Yashpal‟,this story brings the clear picture of problems

Faced by a poor muslim family.

„Maim bhi maanav huum’(ekanki), Translation

Author „vishnu prabhakar‟ describes the kalinga war&reasons behind

samrat Ashok‟s change of mind.

CO5: This story written by „Anjeya explains the situation of Indian people

who lived in Pakistan region after separation .

‘Yah meri janma bhumi hai’‘(ekanki), Translation

„Harikrishna premi‟ points out the patriotism of a british girl who

Was born in India &also the country‟s condition at that time.

FRENCH II L T P Credits

5 0 0 4

Course Objective :

To fortify the grammar and vocabulary skills of the students.

Enable the students have an idea of the French Culture and Civilization

UNIT I - Leçons 10 – 11 12

Leçons : 10. Les affaires marchent,- 11. Un après midi à problemes- Réponses

aux questions tirés de la leçon - Grammaire : Présent progressif, passé

récent ou future proche - Complément d‟objet directe - Complément d‟objet

indirecte .

UNIT II - Leçons 12 – 13 12

Leçons : 12. Tout est bien qui fini bien,- 13. Aux armes citoyens – Réponses

aux questions tirés de la leçon - Grammaire : Les pronoms « en ou y »

rapporter des paroles - Les pronoms relatifs que, qui, ou où ,

UNIT III - Leçons 14 – 15 12

Leçons 14. Qui ne risqué rien n‟a rien,- 15. La fortune sourit aux audacieux –

Réponses aux questions tirés de la leçon - Grammaire : Comparaison – Les

phrases au passé composé

UNIT IV - Leçons 16 – 18 12

Leçons16 La publicite et nos reves 17 La france le monde 18 Campagne

publicitaire Réponses aux questions tirés de la leçon - Grammaire :- Les

phrases à l‟ Imparfait - Les phrases au Future

UNIT V - Composition : 12

A écrire une lettre de regret// refus à un ami concernant l‟invitation d‟une

célébration reçue- A écrire un essaie sur un sujet générale - A lire le passage et

répondre aux questions

Total : 60 Hrs

COURSE OUTCOME


CO1: This enable students to learn the language without any grammatical errors.

CO2: As a result of the content makes the students to known about the types of pronouns and

their usage.

CO3: This imparts the students in order to develop their basic writing skills.

CO4: Enable students for framing the basics sentence.

CO5: Making the students community to know the french format of letter writing and essay

writing.

TEXT BOOK Jacky GIRARDER & Jean Marie GRIDLIG, « Méthode de Français

PANORAMA », Clé Intérnationale , Goyal Publication, New Delhi., Edition 2004

REFERENCE BOOKS 1.DONDO Mathurin, “ Modern French Course”, OxfordUniversity Press, New

Delhi., Edition 1997

2. Paul Chinnappane “ Grammaire Française Facile” , Saraswathi House Pvt

Ltd, New Delhi, Edition 2010

ENGLISH- II L T P Credits

5 0 0 5 COURSE OBJECTIVE:

- To enable students to develop their communication skills effectively

- To make students familiar with various sentence patterns of the English Language

- To enrich their vocabulary in English

- To develop communicative competency

Credit Hours

UNIT-I Prose 12

1. The Words of Wisdom

Chetan Bhagat

2. Forgetting Robert Lynd

3. My Early Days Dr. A.P.J.

Abdul Kalam

UNIT II –Poetry 12

1. Ozymandias

Percy Bysshe Shelley

2. Mending Wall

Robert Frost

3. Where the Mind is Without Fear

Rabindranath Tagore

UNIT III –Short Story 12

1. Am I Blue?

Alice Walker

2. The Last Leaf O‟ Henry

3. The Selfish Giant

Oscar Wilde

UNIT IV – One Act Play 12

1. Soul Gone Home

Langston Hughes

UNIT V 12 1. Lexical Skills

2. Vocabulary

3. Communication and Grammar at the end of all lessons

Total: 60 Hours

COURSE OUTCOME


CO1: Construct sentences owing to advanced grammar skills taught.

CO2: Prove better communicative ability because of illustrations from fundamental grammar.

CO3 : Prove their skill in writing sentences after the modals of American, British and Indian English

writers.

CO4: Develop different sensibilities in approaching life.

CO5: Solve life‟s problems as highlighted in the selections.

Prescribed:

Radiance - Emerald Publications

CORE ANALYTICAL GEOMETRY

L T P Credits

4 0 0 4

COURSE OBJECTIVE In this course Cartesian plane, point of division, translation and rotation of axes; circles, parabolas,

ellipses, hyperbolas; classifying conic sections by eccentricity; quadratic equations, discriminant test;

graphing in polar coordinates, polar equations for conic sections; cylinders and quadric surfaces,

sphere, ellipsoid, hyperboloid; lines and planes in space.

UNIT I -Planes and straight lines

Basic concepts and definition of planes and straight lines-angle between two line-relation between DCS

of straight line – condition for parallel and perpendicular of two lines-simple problems. 12

UNIT II - Sphere

Equation of sphere: Center and Radius form, Diametric form and General form. Circle- Finding the

Centre and radius, Tangent plane, - Simple problems. 12

UNIT III- Cone

Equation of cone with vertex at the origin, Equation of a quadratic cone given the vertex and the

guiding curve, Condition for a general second degree equation to represent a cone - Simple problems.

12

UNIT IV-Right Circular Cone

Equation of a right circular cone with given vertex, Axis and semi-vertical angle - Simple problems.

12

UNIT V- Cylinder

Equation of a cylinder: General form, Equation of a Right circular cylinder, when axis and radius are

given - Simple problems.

12

Total: 60 Hours

COURSE OUTCOME


CO1: Classify to the concepts: Plane, Points, lines, line segments, rays and length of line

CO2: Explain different sets of data required to specify a line or a plane. Memorize formulae for

parametric equations of a line in space and explain geometrical and physical interpretation

CO3: Explain the topic that helps to build fluency with calculating the volume of a sphere by illustrating

its relationship to the volume of a cylinder

CO4: Find a Sphere inscribed within a cylinder is used have because it highlights the relationship between

the diameter of the sphere and the height of the cylinder. This work develops students understanding

that the volume of a sphere is 2/3 of the volume of a cylinder

CO5: Apply knowledge of how to use the volume of a cone formula to a real-world context

TEXT BOOKS

1.AnalyticalGeometry-3Dimensions - T.K.Manickavachagam Pillai T.Natarajan,

S.Viswanathan (Printers & Publshers) PVT.LTD.

REFERENCE BOOKS

1.Solid Geometry - H.K. Dass, H.C.Saxena and M.D.Raisinghania. First Edition 1999, S.Chand

& Company Ltd.

2. Co-ordinate Geometry of three dimensions, P. R. Vittal

CORE INTEGRAL CALCULUS

L T P Credits

4 0 0 4

COURSE OBJECTIVE In this course Cartesian plane, point of division, translation and rotation of axes; circles, parabolas,

ellipses, hyperbolas; classifying conic sections by eccentricity; quadratic equations, discriminant test;

graphing in polar coordinates, polar equations for conic sections; cylinders and quadric surfaces,

sphere, ellipsoid, hyperboloid; lines and planes in space.

UNIT I - Methods of integration:

Methods of Integration-Integration of rational and irrational function-Typesdx

a b cos x ,dx

a bsin x ,

dx

a cos x bsin x -Simple problems. 12

UNIT II - Definite Integral: Properties of Definite Integral -Integration by Parts – Simple problems.

12

UNIT III- Reduction formulae: Bernoulli‟s formula - Reduction formulae –Integration as summation

- Simple problems. 12

UNIT IV -Multiple Integrals: Double integrals-changing the order of integration-triple integrals-

Applications of area and Volume. 12

UNIT V - Beta and Gamma functions-properties –Recurrence formula for gamma function, Relation

between beta and gamma functions - simple problems. 12

Total: 60 Hours

COURSE OUTCOME


CO1: Apply integration more complicated functions using standard methods of integration, including

integration by parts, trigonometric substitutions, partial fractions.

CO2: Develop the Few application of these functions in the field of physics, statistics etc.

CO3: Find the volume of solids by calculating appropriate double integrals in rectangular and polar

coordinates. Find surface area using a double integral

CO4: Apply the fundamental theorem of calculus to evaluate integrals involving algebraic and and

transcendal functions

CO5: Utilize the Definite Integrals can also be readily evaluated using the reduction formula

TEXT BOOKS

1. Calculus :Volume II T.K. Manickavachagam Pillai ,S. Narayanan and others (S. Viswanathan

publishers)

REFERENCE BOOKS

1. Calculus: Dr. P.R.Vittal (Margham Publishers).

2. Mathematics for I& II semester: P. Kandasamy and others (S.Chand & company)

CORE STATISTICS AND PROBABILITY

L T P Credits

4 0 0 4

COURSE OBJECTIVE

The course will develop the basics of descriptive and inferential statistics and probability, including

frequency distributions, measures of location, variation, expected value, and probability distributions.

UNIT-I Diagrammatic and graphical representation of data:Introduction- methods of

classification, tabulation and diagrammatic representation of various type of statistical data - frequency

curves and Ogives - Lorenz curve. 12

UNIT-II Measures of location - Arithmetic mean, median, mode, Geometric mean, Harmonic mean

and their properties - merits and demerits-combined Arithmetic mean and standard deviation.

12

UNIT-III Measures of dispersion - Range, mean deviation, quartile deviation, standard deviation,

coefficient of variation, skewness and kurtosis. 12

UNIT-IV Probability Introduction-basic problems–Addition and multiplication theorem on

probability- conditional probability - Bayes theorem- simple problems. 12

UNIT-V Theoretical distribution: Introduction – discrete distributions- Binomial, Poisson, Geometric

distributions and their properties- continuous distributions - Uniform, Exponential, normal

distributions and their properties, - simple problems. 12

Total: 60 Hours

COURSE OUTCOME


CO1: Explain basic statistical concepts such as statistical collection, tabular and graphical

representation of data

CO2: Demonstrate the concept of mean, median and mode, geometric mean, harmonic mean

CO3: Construct appropriate displays of data

CO4: Illustrate the common measures of dispersion from grouped and ungrouped data

CO5: Develop problem-solving techniques needed to accurately calculate probabilities

TEXT BOOKS

1. Gupta, S. C and Kapoor, V. K (2002), Fundamentals of Mathematical Statistics, Sultan Chand

and Sons, New Delhi.

2. A.M.Mood, F.A. Graybill and D.C. Boes (1974): Introduction to the theory of Statistics,

International student ed. McGraw Hill. Hogg, R.V. and Craig, A.T. (1998): Introduction to

Mathematical Statistics, 4th ed. Academic Press. A

REFERENCES BOOKS

1. P.R.Vittal and Malini- Business Statistics

SEMESTER-III

பயன்பொட்டுத்தமிழ் L T P Credits

5 0 0 5 ந ொக்கம்:ற்கொனஅன்நொடத்நறக்குரிறகில்ிழ்மொிறச்மெம்றொகப்தன்தடுத்நண்டும்என்னும்நொக்கில்இப்தொடம்உனொக்கப்தட்டுள்பது .

ொொக்கரின்நறனொய்ப்னநர்கொல்கள்ற்றும்குழுஉறொடல்கறபஎிர்மகொள்ற்நகற்நநதச்சுத்ிநன்நம்தொடு , மெய்ித்ொள்கறபதட்தொகஅணுகும்ிம் ,

ெிநந்கடிங்கறபஎழுதுற்கொணதிற்ெிநதொன்நதன்தொடுெொர்ந்மொிப்திற்ெிறஇப்தொடம்அபிக்கின்நது.

அனகு 1 மொி 11 ிநம்

திறீக்கிஎழுதுல் - ஒற்றுப்திறீக்கிஎழுதுல் - மொடர்திறீக்கிஎழுதுல் -

ஒற்றுிகும்இடங்கள் - ஒற்றுிகொஇடங்கள் - திநமொிச்மெொற்கறபீக்கிஎழுதுல் –

திற்ெிகள்.

அனகு 2 நதச்சு 13 ிநம்

நதச்சுத்ிநன் – ிபக்கம் – நதச்சுத்ிநணின்அடிப்தறடகள் - றககள் – நறடப்நதச்சு -

உறொடல் - குழுொகஉறொடல் – திற்ெிகள்.

றனர்கபின்நறடப்நதச்சுகள் - மதரிொர் - அண்ொ - கறனஞர்.

அனகு 3 எழுதுிநன் 12 ிநம்

கறனச்மெொல்னொக்கம் - நறகள் - கறனச்மெொற்கபின்தண்னகள் -

கறனச்மெொல்னொக்கத்ில்ிர்க்கநண்டிற - அநிில்கறனச்மெொற்கள்.

கடிம் - றககள் - அலுனகக்கடிங்கள் - திற்ெி - அநிஞர்கபின்கடிங்கள் -

கடிங்கபின்ிகற்தித்ல் - ெினஅநிஞர்கபின்கடிங்கள் - நன...,

அனகு 4 மொிமதர்ப்ன 13 ிநம்

மொிமதர்ப்னஅடிப்தறடக்நகொட்தொடுகள் - மொிமதர்ப்னனறநகள் -

மொிமதர்ப்தொபரின்குிகள் .

மொிமதர்ப்னறககள் - மெொல்லுக்குச்மெொல்மொிமதர்த்ல் - ழுல் -

கட்டற்நமொிமதர்ப்ன - மொிொக்கப்தறடப்ன - இந்ிமொிமதர்ப்ன - கனத்துப்மதர்ப்ன -

மொிமதர்ப்னறட - மொிமதர்ப்னெிக்கல்களும்ீர்வுகளும் .

திற்ெி: அலுனகக்கடிங்கறபமொிமதர்த்ல் (ஆங்கினத்ினினந்துிழுக்கு).

அனகு 5 இில்திற்ெி 11 ிநம்

இழ்களுக்குத்றனங்கம்எழுதுல் - தல்ிப்னறஎழுதுல் - ெொறணொபறநர்கொல்

- ிகழ்ச்ெிறச்மெய்ிொகொற்றுல்.


COURSE OUTCOME


CO1: Utilizing fundemendal tami grammer in their practical life.

CO2: Improve their oratorical skill after studying of concept of oratory.

CO3 : Develop their own style of Terminology afer studying the Nomenclature.

CO4: Translate english passage to Tamil. CO5: Apply their knowledge into journals, articles writings.


1. ஈஸ்ன்.ெ., ெதொதி.இொ., “இில்”, தொறதப்பிநகன்ஸ் , னற்திப்ன, 2004.

2. ஈஸ்ன்.ெ., “மொிமதர்ப்தில்”, தொறதப்பிநகன்ஸ், னற்திப்ன, 2005.

3. எட்கர்ொர்ப், நொிக்ொர்ப், “நர்னகத்நர்ில்மற்நிமதந”, கிக்குப்திப்தகம்,

இண்டொம்திப்ன, 2009.

4. சுப்திின்.தொ.ொ., ஞொணசுந்ம்.., (த.ஆ)“ிழ்றடக்றகநடு”,

இந்ிமொிகபின்டுண்ிறுணம் ,

றசூர்மொிஅநக்கட்டறபற்றும்ஞ்றெத்ிழ்ப்தல்கறனக்ககம் - மபிடீு,

ொன்கொம்ீள்திப்ன, 2010.

5. சுப்னமட்டிொர்.., “ிழ்திற்றும்னறந”, மய்ப்தன்திப்தகம், ஐந்ொம்திப்ன, 2006.

HINDI-III

(Ancient poetry, Hindi sahitya ka Ithihas)

L T P Credits

5 0 0 4

Unit I „Kabir ke pad‟, Hindi Sahityaka ithihas

12

Aim Students can understand the writing style of Kabir&

also learn valuable messages.

Unit II „Sur ke pad‟, Hindi Sahitya ka ithihas 12

Aim To learn the precious poems of Surdas&SriKrishna

Leela.

Unit III Thulsi ke pad, Hindi Sahitya ka ithihas 12

Aim Students get the opportunity to learn the poems of

Ram bhakthi poet Thulssi das

Unit IV Rahim ke pad, Hindi Sahitya ka ithihas 12

Aim The poems of Rahim are different &valuable and

students will get confidence &ideas to tackle the

problems ahead.

Unit V Bihari ke pad, Hindi Sahitya ka ithihas 12

Aim Students will understand the writing style of Bihari &

the important messages .

The aim of teaching „Hindi Sahitya ka ithihas‟ is to make them

understand the different periods of growth of Hindi Literture & the remarkable

literary works in Hindi literature.

Total :60 hours

COURSE OUTCOME


CO1: Students can understand the writing style of Kabir& also learn valuable messages.

CO2: To learn the precious poems of Surdas & SriKrishna Leela.

CO3: Students get the opportunity to learn the poems of Ram bhakthi poet Thulssi das

CO4: The poems of Rahim are different &valuable and students will get confidence &ideas to tackle

the problems ahead.

CO5: The aim of teaching „Hindi Sahitya ka ithihas‟ is to make them understand the different periods

Of growth of Hindi Literature & the remarkable literary works in Hindi literature.

FRENCH III L T P Credits

5 0 0 4

Course Objective :

To strengthen the Grammar and Composition in French language.

To train the students to enhance his skill in French language for communication

UNIT I LEÇON 16 & 29 12

La famille Vincent (Page 44) - Grammaire : Passé composé‟

Vers l‟hôtel (page 80) Grammaire : Impératif, A mettre les phrases

du singulier au pluriel

UNIT II LEÇON 40 & 44 12

L‟épicerie, les légumes et les fruits (page 112) – Grammaire : Présent

de l‟indicatif a poste (page 124) – l Grammaire : A mettre les phrases à l‟imparfait

UNIT III LEÇON 51 & 58 12

Le café et tabac (page 142) - Grammaire : A changer les phrases en Interrogatif

La Chasse et la pèche (160) - Grammaire : Le plus que parfait

UNIT IV LEÇON 61 12

Un mariage à la campagne(page 170) - Grammaire –A changer au participe présent

UNIT V COMPOSITION 12

Aécrire une lettre à un ami l‟invitant à une celebration differente ex : mariage –

A faire un essaie sur un sujet générale - A lire le passage et répondre aux questions

Total : 60 Hrs

TEXTBOOK

Les leçons ont été choisi et tiré de I & II degré de G .MAUGER « Cours de

Langue et de Civilisation Française » The Millenium, Publication Hachette,

Edition 2002

REFERENCE BOOKS

1.DONDO Mathurin, “ Modern French Course”, OxfordUniversity Press, New


2. Paul Chinnapan, « Saraswati Grammaire Française facile », Saraswathi House

Pvt. Ltd., New Delhi., Edition 2010

2. Larouse, “Larouse French Grammar”, Goyal Publication, New Delhi., Edition 1995

ENGLISH – III L T P Credits

5 0 0 5

COURSE OBJECTIVE:

- To train students in the use of English language in varied literary and non-literary context - To teach them soft skills and strengthen their foundation in grammar and composition - To evaluate their comprehension skills.

Credit Hours

UNIT - I- Prose

12

1.Two Gentleman of Verona - A.J. Cronin

2.Judas Iscariot - Bonnie Chamberlain

3. Dangers of Drug Abuse - J. V. S. Henbane

UNIT II - Short Stories

12

1.Journey by Night - Norah Burke

2.The 2000-Mile Turtle - Henry Edward Fox

3.Fools Paradise - Isaac Bashevis Singer

UNIT III – Fiction

12

1. R. L. Stevenson

Chand & company Ltd.

- Dr. Jekyll & Mr. Hyde (Retold by Kennet) –

S.

UNIT IV - Functional English

12

1. Paragraph Writing

2. Comprehension

3. Letter Writing

1. Report writing

a News Paper Report

b Reports for Government Official Attention

c Definition

UNIT V – Conversation In Situations & Conversation Practice 12

1. Conversation in Situations

a) At the Airport

b) In a Bank

c) On the Beach

d) At the Customs

e) At the Doctors‟

f) In a Flight

g) In a Hotel

h) In a Restaurant

i) In a Shop

j) Tea Time

k) On the Telephone

l) In a Travel Agency

m) On a Country Walk

n) At the theatre

o) In a Street

2. Conversation Practice

a) Daily Activities

b) Asking Directions

c) Travel plans

d) Living in an Apartment

e) Money Problems

f) Weather Conditions

g) Dinner Conversations

h) Common Health Problems

i) Tag Questions

j) Office Conversations

3. Expansion of Hints

Total: 60 Hours

COURSE OUTCOME


CO1: Estimate the essays in the light of appeal of values based essays.

CO2: Prioritize pragmatic day to day communication through letter and comprehension.

CO3 : Develop narrative skill after reading the short stories.

CO4: Improve their own style of writing after an expose to the prescribed prose pieces.

CO5: Adapt them to life context wherein soft skill learning is a must.

Prescribed:

1. Effective English Communications for You – V. Syamala, Emerald Publishers, Chennai.

2. English Conversation Practice by D. H. Spencer, Oxford University Press

3. English Conversation Practice by Grant Taylor, Tata McCraw-Hill, Publishing Company

Limited, New Delhi.

CORE FOURIER SERIES & TRANSFORMS

L T P Credits

4 0 0 4

COURSE OBJECTIVE To provide basic concepts about Fourier series, Fourier-transforms and Laplace transforms.

UNIT-I Fourier Series:

Dirichlet conditions-Expansions of function of period 2π in Fourier series in the intervals (c, c+2π) ,

Change of Interval (c, c+2l). 12

UNIT-II Fourier Series:

Expansion of even and odd functions in Fourier series in (-π, π) and (-l, l) , half range series in

(0, π) and (0, l) 12

UNIT-III Fourier integral:

Fourier Integral theorem (Statement only) .Fourier integral, sine and cosine integral and application and

evaluation of integrals using them. 12

UNIT-IV Fourier Transform: Infinite Fourier transforms (Complex form) and its inversion, properties, convolution theorem and

Parseval‟s identity for Fourier transforms. Sine and cosine transforms and evaluation of integrals using

it. 12

UNIT-V Laplace transforms :

Laplace transforms of standard functions – Laplace transform of e-at

f(t) , t f(t) , f(t) / t , f (t) , t

0

f (x)dx .– Inverse laplace transform – solving first and second order linear differential equations with

constant coefficients. 12

Total: 60 Hours

COURSE OUTCOME


CO1: Understand the properties of Fourier series.

CO2: Problems of Fourier series and Fourier transforms used in engineering applications

CO3: Calculate the Fourier transform of elementary functions from the definition

CO4: Demonstrate the use of Fourier Transform to connect the time domain and frequency domain.

CO4: An understanding of Laplace Transform to solve real world problems.

TEXT BOOKS 1. Engineering Mathematics Volume 3A,3B : M. K. Venkataraman (National Publishing Company.)

REFERENCE BOOKS

1. Engineering Mathematics II &III : P. Kandasamy and others (S. Chand and Co.)

2. Engineering Mathematics II &III :A.Singaravelu ( Meenakshi Agency.)

CORE DIFFERENTIAL EQUATIONS

L T P Credits

4 0 0 4

COURSE OBJECTIVE

The goal of this course is to provide students with the tools necessary to solve ordinary differential

equations, Partial differential equations and application problems modeled by them.

UNIT-I- Ordinary Differential Equations: First order but of higher degree equations – solvable for p – solvable for x – solvable for y – clairauts‟s

form of differential equation – exact differential equations – simple problems.

12

UNIT-II-

Second order differential equations with constant coefficients, particular integrals for eax

, sin ax, cos ax,

xm

, eax

sinax, eax

cosax, eax

xm

– simple problems. 12

UNIT-III-

Second order differential equations with variable coefficients -Total differential equation– method of

variation of parameters ––simple problems. 12

UNIT-IV-Partial differential equations –

formation of P.D.E. by eliminating arbitrary constants and arbitrary functions – complete Integral –

singular Integral – general Integral – Standard types – f(p,q) = 0, f(x,p,q) = 0, f(y,p,q) = 0, f(z,p,q) = 0,

f(x,p) = f(y,q) = 0 – clairaut‟s form – Lagrange‟s equation Pp + Qq = R – simple problems.

12

UNIT-V-Partial differential equations –

Solution of homogenous linear partial differential equation with particular integrals ax bye

, sin(mx+ny)

, cos(mx+ny) , m nx y . 12

Total: 60 Hours

COURSE OUTCOME


CO1: Classify the differential equation and solve for p , x, and y

CO2: Find the complementary function and particular integral of second order differential equations.

CO3: Categorize the PDE based on arbitrary constants and arbitrary functions

CO4: Explain the method of variation of parameters for the second order differential equations.

CO5: Identify the method of the homogenous equation of linear PDE.

TEXT BOOKS

1.Calculus Vol. III- S Narayanan,T K Manicavachagom Pillay, (S. Viswanathan.Publications.)

(For Units I to III)

2. Engineering Mathematics – A.Singaravelu (Meenakshi Agency) (For Units IV and V)

REFERENCE BOOKS

1.Calculus by Dr. P.R.Vittal (Margham Publishers).

2. Mathematics for first semester: P.Kandasamy and others (S.Chand & company)

CORE COMPUTER FUNDAMENTALS & PROGRAMMING IN C

L T P Credits

3 0 0 3

COURSE OBJECTIVE

Making the students to understand and learn the basics of computers .To develop computer skills and

usage of computer in day to day life.

UNIT I - Computer Basics

Introduction – Characteristics of Computer – History of Computer – Generation of Computer -

Classification of Computer – Advantages of Computers - Applications of Computer - Basic

Components of Computer . 12

UNIT II – Hardware & Software

Computer Memory- Primary & Secondary Memory - Input Devices – Output Devices - Computer

Peripherals - Application Software – System Software. 12

UNIT III – Networks & Introduction to Internet

Networks – Different types of Network – Topologies – Advantages & Disadvantages of Network –

Cables – Different types of Cables - Internet – Applications of Internet – Connecting to the Internet – E

Mail - WWW – Web Browser – Web Server- Search Engines – URL. 12

UNIT IV: Introduction

History of C – Characteristic of C – C program structures - Data types – Variables and constants

- Operators – Conditional Statements – Looping, Nested and iteration - Arrays –functions .

12

UNIT V: Structures And Unions

Class storage –Structures –Union – Enum data type – file handling. Aptitude questions and interview

questions from above units. 12

Total: 60 Hours

COURSE OUTCOME


CO1: Organize the basics of computers, Different types of computers and components of computers.

CO2: Analyze the Concept of Computer Fundamentals, Input & Output Devices , Basic Architecture

of computer

CO3: Analyzing the network technologies and different types of networks.

CO4: Apply the Concepts of Data types & Basics of C Programming

CO5: Analyse the Concept of Class, Structure , Union & File Handling

TEXT BOOKS 1. Fundamentals of Computers - Dr. E. Balagurusamy

2. Fundamentals of Computers – C.S.V.Murthy

REFERENCE BOOKS

1.Computer Networks – Andrew Tennenbaum

2.E.Balaguruswamy ,”Programming In ANSI C”, Fourth edition , 2007 , McGraw Hill Publications

New Delhi.

CORE COMPUTER FUNDAMENTALS & PROGRAMMING IN C- PRACTICAL

L T P Credits

0 0 2 1

1 C Program to Find the Largest Number Among Three Numbers

2 C Program to Check Leap Year

3 C Program to Calculate the Sum of Natural Numbers

4 C Program to Find Factorial of a Number

5 C Program to Generate Multiplication Table

6 C Program to Display Fibonacci Sequence

7 C Program to Find GCD of two Numbers

8 C Program to Find LCM of two Numbers

9 C Program to Check Whether a Number is Palindrome or Not

10 C Program to Check Whether a Number is Prime or Not

11 C Program to Display Prime Numbers Between Two Intervals

12 C Program to Check Armstrong Number

13 C Program to Find the Sum of Natural Numbers using Recursion

14 C Program to Find Factorial of a Number Using Recursion

15 C Program to Find G.C.D Using Recursion

16 C Program to Calculate Average Using Arrays

https://www.programiz.com/c-programming/examples/largest-number-three

https://www.programiz.com/c-programming/examples/leap-year

https://www.programiz.com/c-programming/examples/sum-natural-numbers

https://www.programiz.com/c-programming/examples/factorial

https://www.programiz.com/c-programming/examples/multiplication-table

https://www.programiz.com/c-programming/examples/fibonacci-series

https://www.programiz.com/c-programming/examples/hcf-gcd

https://www.programiz.com/c-programming/examples/lcm

https://www.programiz.com/c-programming/examples/palindrome-number

https://www.programiz.com/c-programming/examples/prime-number

https://www.programiz.com/c-programming/examples/prime-number-intervals

https://www.programiz.com/c-programming/examples/check-armstrong-number

https://www.programiz.com/c-programming/examples/natural-number-sum-recursion

https://www.programiz.com/c-programming/examples/factorial-recursion

https://www.programiz.com/c-programming/examples/hcf-recursion

https://www.programiz.com/c-programming/examples/average-arrays

SEC SOFT SKILL-I

L T P Credits

2 0 0 2

Unit I Reading Comprehension and Vocabulary 08

Definitions of reading – types of reading – oral reading – silent reading – reading process –

classification of reading – nature of reading – Filling in the blanks – Cloze Exercises –Vocabulary

building – Reading and answering question.

Unit II Listening and Answering Question 08

Listening process – speaker – hearer – types of listening – transitional listening – critical listening –

recreational listening – listening for appreciation – selective listening – intensive listening- extensive

listening – listening and sequencing sentences – filling in the blanks – listening and answering

questions.

Unit III Group Discussion 08

Introduction – Why GD Part of a selection process – Structure of a GD-Strategies in GD – Team work

– body language – Debating various points of views – interaction with peers.

Unit IV Conversations 08

Introducing oneself and others, narrating events – making telephonic conversation – Giving instruction

– Giving instruction- Expressing purposes and functions- obligation and preferences, Accepting offers

and Counseling Face to face Conversations

Unit V Self – Introduction and Role Play 08

Introduction self and greetings- asking for information- offerings- requisitions- inviting – vocabulary

building- asking for description.

Total: 40 hrs

Text Books:

1. Barun K. Mitra, “Personality Development and Soft Skills”. Oxford University Press. New Delhi.

2011.

2. S.P. Sharma, “Personalilty Development”, Pustaq Mahal. New Delhi. 2010.

Reference Books:

1. Meenakshi Raman and Sangeetha Sharma, “Technical Communication”, Oxford University Press.

New Delhi, 2009.

2. A.S. Hornby: “Oxford Advanced Learner‟s Dictionary of Current English”, Oxford University

Press, 2007

SEMESTER-IV

தமிழர் ொகரிகமும்பண்பொடும் L T P Credits

5 0 0 5 ந ொக்கம்:தண்றடத்ிரின்ொழ்ில்மநிகள்இல்தொணதும்இற்றகநொடுஇங்கிச்மெல்துொகும்;ிகவும்தறொணதும்தண்தட்டதுொகும் .அன்தொணஅகொழ்க்றகறக்கூடமெம்றொகத்ிட்டிட்டுள்பணர் . மதொழுதுநதொக்கு, நதொர்னறநகள், கறன, ெம், அெில்,

அநிில்எணஅறணத்ிலும்ிர்ெிநந்துிபங்குறிபக்கும்தொடொகஇதுஅறந்துள்பது.அசுநறனொய்ப்திற்கொணநதொட்டித்நர்வுகளுக்குப்தன்தடும்றகிலும்இப்தொடம் அறந்துள்பது.

அனகு 1 ொகரிகம், தண்தொடு 12 ிநம்

மெொற்மதொனள்ிபக்கம் - தண்றடத்ிர்ொழ்ில் - அகம் - கபவு - கற்ன - குடும்தம் -

ினந்நொம்தல் - உநவுனறநகள் - ெடங்குகள் - ம்திக்றககள் - மதொழுதுநதொக்கு - னநம் -

நதொர்னறநகள் - டுகல்ிதொடு - மகொறடப்தண்ன.

அனகு 2 கறனகள் 12 ிநம்

ெிற்தம் - ஓிம் - இறெ - கூத்து - ஒப்தறண - ஆறடஅிகனன்கள்.

அனகு 3 ெம் 12 ிநம்

றெம் - றம் - ெம், மதௌத்ம்மபிப்தடுத்தும்தண்தொடு .

அனகு 4 அெில் 12 ிநம்

அசுஅறப்ன - ஆட்ெினறந - உள்ொட்டுிகம் - மபிொட்டுிகம் - ரிறககள் -

ொங்கள் - ீினறந.

அனகு 5 அநிில் 12 ிநம்

கல்ி - நபொண்ற - ொணில்அநிவு - னத்தும் - கட்டிடக்கறன.


COURSE OUTCOME


CO1: Re-Construct Tamil culture and civilization in the aspect of life style of ancient Tamils.

CO2: Formulated their new methods of fine arts through the sprite of ancient art of Tamils.

CO3: Find out the solutions for the problems of life through the philosophical ideology of Tamil

religions.

CO4: Acquire the Knowledge and understanding theories of political system.

CO5: Formulate the art of life through Tamil traditional scientific approach.


1. நக.நக. திள்றப, “ிகனொறு: க்களும் தண்தொடும்”, உனகத்ிொொய்ச்ெி ிறுணம்,

ீள்திப்ன, 2009.

2. தக்ச்ெனதொி, “ிர்ொணிடில்”, அறடொபம், இண்டொம்திப்ன, 2008.

3.ட்ெிொனெர்த்ி. அ., “ிர் ொகரிகனம் தண்தொடும்”, ொழ்மபிடீு, றுதிப்ன, 2011.

4. நநப்தொொர். ஞொ., “தந்ிர் ொகரிகனம் தண்தொடும்”, ிழ் ண் திப்தகம்,

மென்றண.

5. ொணொறன.ொ., “ிர்னொறும்தண்தொடும்”, ினைமெஞ்சுரி னக்ஹவுஸ், ஆநொம்திப்ன,

2007.

HINDI-IV

( Modern Poetry, Journalism)

L T P Credits

5 0 0 4

Unit I - ‘Adhunik kavitha(Apna sansar), Journalism 12

Aim Rashtra kavi‟Maithili sharan gupta‟ dreams about his life in a beautiful manner

&describes how his world should be.

Journalism plays a great role in the development of a country .Through this ,

students get an opportunity to know about Hindi journalism & the developments

took place gradually

Unit II - ‘Adhunik kavitha(Chintha), Journalism 12

Aim Taken from „Jayashankar prasad‟ „s Kamayani ,this poem explains the condition

of human beings at different situations.

Unit III - ‘Adhunik kavitha(‘Thum logom se duur’), Journalism 12

Aim „Shri Gajanan madhav mukthi bodh‟ describes the present day‟s thought of a

common man & expectations

Unit IV - ‘Adhunik kavitha(‘Sneh shapath’), Journalism 12

Aim - Poet „Bhavani Prasad mishra „ points out the importance of love & affection

and also the bad effects of enmity.

Unit V - ‘Adhunik kavitha(‘Nimna Madhya varg’& Bharath ki aarthi’’), Journalism 12

Aim „Prabhakar machve‟ explains the condition of the middle class in „Nimna Madhya varg

„Shamsher bahadur singh‟ „s poem „Bharat ki aarthi‟ points out the importance of

patriotism& our desires.

COURSE OUTCOME


CO1: ‘Adhunik kavitha(Apna sansar), Journalism

Rashtra kavi‟Maithili sharan gupta‟ dreams about his life in a beautiful manner

describes how his world should be.

students get an opportunity to know about Hindi journalism & the developments

took place gradually

CO2: ‘Adhunik kavitha(Chintha), Journalism

Taken from „Jayashankar prasad‟ „s Kamayani ,this poem explains the condition

of human beings at different situations.

CO3: Adhunik kavitha(‘Thum logom se duur’), Journalism

„Shri Gajanan madhav mukthi bodh‟ describes the present day‟s thought of a

common man & expectations

CO4: Adhunik kavitha(‘Sneh shapath’), Journalism

- Poet „Bhavani Prasad mishra „ points out the importance of love & affection

and also the bad effects of enmity.

CO5: Adhunik kavitha(‘Nimna Madhya varg’& Bharath ki aarthi’’), Journalism

„Prabhakar machve‟ explains the condition of the middle class in „Nimna Madhya

varg

„Shamsher bahadur singh‟ „s poem „Bharat ki aarthi‟ points out the importance of

patriotism & our desires.

FRENCH IV L T P Credits

5 0 0 4

Objective:

To enable the students to strengthen their knowledge of grammar/composition

To make the students to develop their skills of communication in French language

UNIT I LEÇON 20 & 46 12

Une grande Nouvelle (page 56) – Grammaire : A mettre les phrases au Future

Le métro ; l‟autobus (page 130 ) - Grammaire : A former ou à changer

l‟adjectif masculin ou féminin à l‟adverbe - A trouver les noms qui

correspondent aux verbes.

UNIT IILEÇON 48 & 63 12

A la Préfecture de police (page 132) - Grammaire : Les Pronoms relatifs

Les sports (page 174) Grammaire : Le conditionnel présent

UNIT III LEÇON 56 & 57 12

A Biarritz, la plage (page 156) - Grammaire : Le future antérieure

Dans les Pyrénées (page 158) - Grammaire : Le future antérieure suite)

UNIT IV LEÇON 65 12

A fin des vacances (page 178) Grammaire : A changer les phrases du pluriel

au singulier - Le présent du subjonctif

UNIT V COMPOSITION 12

A écrire une lettre de regret / refus à un ami concernant l‟invitation d‟une célébration

reçue- A écrire un essaie sur un sujet générale - A lire le passage et répondre aux

questions

Total : 60 Hrs TEXTBOOK

Les leçons ont été choisi et tiré de I &II degré de G .MAUGER « Cours de

Langue et de Civilisation Française » The Millenium, Publication Hachette,

Edition 2002

REFERENCE BOOKS

1.DONDO Mathurin, “ Modern French Course”, OxfordUniversity Press, New


2.Paul Chinnapan, « Saraswati Grammaire Française facile », Saraswathi House

Pvt. Ltd., New Delhi., Edition 2010

3.Larouse, “Larouse French Grammar”, Goyal Publication, New Delhi., Edition

ENGLISH-IV L T P Credits

5 0 0 5

COURSE OBJECTIVES

To train students in the use of English language in varied literary and non-literary context

To teach them soft skills and strength their foundation in grammar and composition

To elevate their comprehension skills.

UNIT I – Prose 12

1.Walking Tours - R. L. Stevenson

2.All About a Dog - A. G. Gardinar

3.No Man is an Island - Minno Masani

UNIT II - Short Stories

12

1. The Man Who Likes Dickens - Evelyn Waugh

2. Lamb to the Slaughter - Roald Dahl

3. Buck Hears the Call - Jack London

UNIT III – Drama 12

1.Selected Scenes from Shakespeare‟s Plays – Book I, Emerald Publishers

a) Funeral Oration (Julius Caesar)

b) Trial for a Pound of Flesh (The Merchant of Venice)

c) Patterns of Love (As You Like It)

UNIT IV 12

1. General Essay Writing & Group Discussion

2. Persuasive Writing and Role Play

UNIT V 12

1.Notice, Agenda, Minutes.

Total: 60 Hours

COURSE OUTCOME


CO1: Develop hints into ideas.

CO2: create different kinds of business letters.

CO3 : Take part in exercises of analytical ability.

CO4: Develop humanistic perspectives.

CO5: Prove their skills in dialogue and abstract writing.

Prescribed:

1. Invitation to English Prose – A. E. Varadarajan & S. Jagadisan, Orient Black Swan, Chennai

CORE STATICS

L T P Credits

4 0 0 4

COURSE OBJECTIVE:

To give the students a practical knowledge of statics; its uses and application in day to day life. To

teach them Forces on a rigid body, A specific reduction of forces, Centre of a mass, Hanging strings.

UNIT I- Force:Newton‟s laws of motion-Forces, types of forces, Resultant of two forces on a particle-

resultant of two forces on a particle, three forces related to a triangle acting at a point, several forces on

a particle. 12

Equilibrium of a particle: Equilibrium of a particle under three forces, under several forces, limiting

equilibrium of a particle on an inclined plane, simple problems.

Chapter 2: sections 2.1 to 2.2

Chapter 3: sections 3.1 to 3.2

UNIT II-Forces on a rigid body: Moment of a force,General motion of a rigid body-parallel forces-

Moment of a force-Forces along the sides of a triangle-couples-resultant of several coplanar forces-

Equation of the line of action of the resultant- simple problems.

Chapter 4 : sections 4.1 to 4.8. 12

UNIT III-A specific reduction of forces: Reduction of coplanar forces in to a force and couple-

problems involving frictional forces, simple problems. 12

Chapter 5 : sections 5.1 to 5.2

UNIT IV- Centre of a mass- Finding mass centre- simple problems. 12

Chapter 6 : 6.1 to 6.2

UNIT V- Hanging strings: Equlibrium of a uniform homogeneous string-suspension bridge-simple

problems.

Chapter 9: sections 9.1 to 9.2 12

Total: 60 Hours

Course Outcomes

CO1: Explain basic concepts of types of forces and their applications.

CO1: Define moments of forces , parallel force and couples

CO1: To analyze the reduction of the coplaner forces into a forec and firctional forces.

CO1: Explain the concept of mass , mass center and center of gravity.

CO1: Explain the hanging string and equliberium of uniform homogenous stringand subsenstion

bridge

TEXT BOOKS 1. Mechanics by P.Duraipandian and others S.Chand & co (Reprint-2011)

REFERENCE BOOKS 1. Mechanics by S.G. Venkatachalapathy, Margham publications 2012 edition

2. Statics by K.Viswananthan Naik and M.S.Kasi, Emeral Publishers.

CORE DISCRETE MATHEMATICS

L T P Credits

4 0 0 4 COURSE OBJECTIVE

This course is an introduction to the study of Discrete Mathematics, a branch of contemporary

mathematics that develops reasoning and problem-solving abilities, with an emphasis on proof. Topics

include Logic, Mathematical Reasoning and Proof, Set Theory, Combinatorics, Algebraic structure and

Automata theory.

UNIT-I Set Theory- Introduction-counting principle-cardinality and countability (Countable and

Uncountable sets), pigeonhole principle-Relation – Introduction- types of relation, composition of

relations, domain and range of a relation, partial ordering relation- Function- Definition and types of

function, composition of functions. 12

UNIT-II logic - introduction- truth tables-tautologies- contradiction - normal forms(conjunctive and

disjunctive- negation- and contradiction,-direct proof- proof by using truth table- proof by counter

example. 12

UNIT-III Algebraic Structure-Introduction - Binary composition and its properties- group- Semi

group -Monoid Groups- Abelian Group-, properties of groups- Permutation Groups, Sub Group- Cyclic

Group. 12

UNIT-IV Automata theory- Finite Automata: Basic concepts of Automation theory- Deterministic

finite Automation(DFA)- transition function, transition table, Non Deterministic Finite Automata

(NDFA)- Mealy and Moore Machine- Minimization of finite Automation. 12

UNIT-V Combinatorics- Mathematical induction-permutations- combinations, -recurrence relations

(nth order recurrence relation with constant coefficients-Homogeneous recurrence relations, -solution

of recurrence relation using G.F- solution of combinatorial problem. 12

Total: 60 Hours

COURSE OUTCOME


CO1: Explain the Relation, Functions, Composition of functions

CO2: Construct the truth table and explain the proof, reasoning

CO3: Proof of the theorems are explained in Groups,Abelian Groups,Monoids,Semi groups and

few problems are discussed

CO4: Explain the mathematical reasoning and proof in automata theory. What are logic

implemented

CO5: Solving abilities with an emphasis on proof

TEXT BOOKS 1. Kenneth H. Rosen, “Discrete Mathematics and its Applications”, Mc.Graw Hill, 2002.

2. J.P.Tremblay & R. Manohar, “Discrete Mathematical Structure with Applications to Computer

Science” Mc.Graw Hill, 1975.

REFERENCE BOOKS

1. V. Krishnamurthy, “Combinatories:Theory and Applications”, East-West Press.

2. Seymour Lipschutz, M.Lipson, “Discrete Mathemataics” Tata Mc Graw Hill, 2005.

3.Kolman, Busby Ross, “Discrete Matheamatical Structures”, Prentice Hall International

CORE NUMERICAL ANALYSIS

L T P Credits

4 0 0 4

COURSE OBJECTIVE

To provide the student with numerical methods of solving the non-linear equations,interpolation,

differentiation, and integration. - To improve the student‟s skills in numerical methods by using the

numerical analysis software and computer facilities.

UNIT-I Solutions of algebraic and transcendental equations – Bisection method, Iteration method,

Regula falsi method and Newton-Raphson‟s method . 12

UNIT-II Finite differences – Operators , and E - relation between them –– factorial

polynomials.Interpolation with equal intervals – Gregory-Newton forward and backward

interpolation formulas. Equidistant terms with one or more missing values. 12

UNIT-III Numerical differentiation – Derivatives using Newton‟s forward and backward difference

formulae, Derivatives using Stirling‟s formula, Derivative using divided difference formula, Maxima

and Minima using the above formulae. 12

UNIT-IV Solution of Simultaneous linear equations – Direct methods -Gauss-elimination method,

Gauss-Jordan method and Crout‟s method .Iterative method–Gauss Siedel method. 12

UNIT-V Numerical integration – General quadrature formula, Trapezoidal rule, Simpson‟s one-third

rule, Simpson‟s three-eighth rule, Weddle‟s rule. 12

Total: 60 Hours

COURSE OUTCOME


CO1:Calculate the root of the equation by Bisection, Regula Falsi, Iteration Method, Newton‟s

Method

CO2: Illustrated the relation for forward ,backward operators

CO3: Calculated the derivatives of the interval using forward backward,striling.

CO4: Evaulating the solution of simultaneous linear equation by Gauss Elimination

CO5: Evaluating the integral using Simpson‟s 1/3 rule , Simpson‟s 3/8 rule ,Weddle‟s and trapezoidal

rule.

TEXT BOOKS

Numerical Methods - P. Kandasamy& K. Thilagavathy (S.Chand& Co.)

REFERENCE BOOKS

1. Numerical Methods – M.K.Venkataraman, National publishers.

2. Numerical Methods-Arumugam and others (Scitech publishers

CORE NUMERICAL ANALYSIS-PRACTICAL

L T P Credits

0 0 2 1

1. Bisection method

2. Iteration method

3. Regula falsi method

4. Newton-Raphson‟s method .

5. Gregory-Newton forward and backward interpolation formulas.

6. Newton‟s forward and backward difference formulae

7. Gauss-elimination method.

8. Gauss-Jordan method.

9. Gauss Siedel method.

10. Trapezoidal rule.

11. Simpson‟s one-third rule, Simpson‟s three-eighth rule.

12. Weddle‟s rule.

Course Objective: To inculcate the importance of environmental pollution, preservation of nature and

environmental management for human welfare.

UNIT IMultidisciplinary Nature of Environmental Studies 2

Definition, scope and importance, need for public awareness.

UNIT IINatural Resources 8

Renewable and non-renewable resources - Natural resources and associated problems. a) Forest

resources: Use and over-exploitation, deforestation, case studies. Timber extraction, mining, dams and

their effects on forest and tribal people. b) Water resources: Use and over-utilization of surface and

ground water, floods, drought, conflicts over water, dams-benefits and problems. c) Mineral resources:

Use and exploitation, environmental effects of extracting and using mineral resources, case studies. d)

Food resources: World food problems, changes caused by agriculture and overgrazing, effects of

modern agriculture, fertilizer-pesticide problems, water logging, salinity, case studies. e) Energy

resources: Growing energy needs, renewable and non renewable energy sources, use of alternate energy

sources. Case studies. f) Land resources: Land as a resource, land degradation, man induced landslides,

soil erosion and desertification - Role of an individual in conservation of natural resources- Equitable

use of resoureces for sustainable lifestyles.

UNIT IIIEcosystems 6

Concept of an ecosystem. - Structure and function of an ecosystem Producers, consumers and

decomposers. -Energy flow in the ecosystem. Ecological succession. - Food chains, food webs and

ecological pyramids. Introduction, types, characteristic features, structure and function of the

following ecosystem: a) Forest ecosystem b) Grassland ecosystem c) Desert ecosystem d) Aquatic

ecosystems (ponds, streams, lakes, rivers, oceans, estuaries)

UNIT IVBiodiversity and its Conservation 8

Introduction–Definition,genetic, species and ecosystem diversity. Biogeographical classification of

India, Value of biodiversity: consumptive use, productive use, social, ethical, aesthetic and option

values - Biodiversity at global, National and local levels. Inida as a mega-diversity nation.Hot-sports

of biodiversity. Threats to biodiversity: habitat loss, poaching of wildlife, man-wildlife conflicts.

Endangered and endemic species of India. Conservation of biodiversity: In-situ and Ex-situ

conservation of biodiversity.

UNIT V Environmental Pollution 8

Definition, Cause, effects and control measures of a) Air pollution b) Water pollution c) Soil pollution

d) Marine pollution e) Noise pollution f) Thermal pollution g) Nuclear hazards.Solid waste

Management. Causes, effects and control measures of urban and industrial wastes. Role of an

individual in prevention of pollution.Pollution case studies. Diaster management- floods, earthquake,

cyclone and landslides.

UNIT VISocial Issues and the Environment 7

From Unsustainable to Sustainable development, Urban problems related to energy - Water

conservation, rain water harvesting, watershed management- Resettlement and rahabilitation of people;

its problems and concerns. Case Studies - Environmental ethics: Issues and possible solutions. Climate

change, global warming, acid rain, ozone layer depletion, nuclear accidents and holocaust. Case

Studies.Wasteland reclamation.Consumerism and waste products. Environment Protection Act, Air

(Prevention and Control of Pollution) Act, Water (Prevention and control of Pollution) Act, Wildlife

AECC EVS

L T P Credits

2 0 0 2

Protection Act, Forest Conservation Act - Issues involved in enforcement of environmental

legislation. Public awareness.

UNIT VII Human Population and the Environment 6

Population growth, variation among nations.Population explosion – Family Welfare

Programme.Environment and human health.Human Rights.Value Education.HIV/AIDS.Women and

Child Welfare.Role of Information Technology in Environment and human health.Case Studies.

UNIT VIII Field Work 5

Visit to a local area to document environmental assetsriver/forest/grassland/hill/mountain, Visit to a

local polluted site-Urban/Rural/Industrial/Agricultural, Study of common plants, insects, birds, Study

of simple ecosystems-pond, river, hill slopes, etc.

Total: 50 hrs

Text Books:

1. De AK, Environmental Chemistry, Wiley Eastern Ltd.

2. Bharucha Erach, 2003. The Biodiversity of India, Mapin Publishing Pvt. Ltd, India.

3. Brunner RC, 1989, Hazardous Waste Incineration, McGraw Hill Inc. 480pgs.

4. Clark RS, Marine Pollution, Clanderson Press, Oxofrd (TB).

Reference Books:

1. Agarwal KC, 2001. Environmental Biology, Nidi Publishers Ltd. Bikaner.

2. Gleick HP, 1993. Water in Crisis, Pacific Institute for Studies in Development, Environment

and Security. Stockholm Environmental Institute, Oxford University Press, 473pgs.

3. Heywood VH, and Watson RT, 1995. global Biodiversity Assessment. Cambridge University

Press 1140pgs.

4. Jadhav H and Bhosale VM, 1995. Environmental Protection and Laws. Himalaya Publishing

House, Delhi 284pgs.

SEC SOFT SKILL-II

L T P Credits

2 0 0 2

Unit I Presentation Skills 08

General presentation methods and developing presentation skill

Unit II Soft skills (Time Management, Stress Management and Body Language)

08 Time management: Importance, Plan and Execution, Default reason and rectification methods. Stress

Management: Stress Impacts over Efficiency and how to manage. Body Language: Its importance and need

Unit III Resume / Report / Letter Writing 08 Resume: Basic components of a resume, Preparation of a resume, Types of resume Report: How to prepare

reports, reports components and structure Letter writing: types of letters, framing letters, basic structure, how to

draft a letter

Unit IV Frequently asked Questions 08

Unit V Interview Skills 08 Aims of Interview expectations and how to fulfill, developing skills

Total: 40 hrs

Text Books:

1. Barun K. Mitra, “Personality Development and Soft Skills”. Oxford University Press. New Delhi.

2011.

2. S.P. Sharma, “Personalilty Development”, Pustaq Mahal. New Delhi. 2010.

Reference Books:

1. Meenakshi Raman and Sangeetha Sharma, “Technical Communication”, Oxford University Press.

New Delhi, 2009.

2. A.S. Hornby: “Oxford Advanced Learner‟s Dictionary of Current English” Oxford University

Press, 2007

SEMESTER-V

DSE ALGEBRAIC STRUCTURE

L T P Credits

4 0 0 4

COURSE OBJECTIVE

This course demonstrates the tools of linear algebra,group theory, rings, ideals and fields as applied to a

meaningful problem.

UNIT-I Groups Theory--Introduction –definitions and Examples-Elementary Properties of a Group-

Equivalent Definition of a Group –Permutation Groups . 12

UNIT-II Subgroups-Cyclic Groups-Order of an element-Cosets and Lagrange‟sTheorem -Normal

Subgroupss and Quotient Groups-Isomorphisms- Homomorphisms. 12

UNIT-III Rings-Definitions and examples-Properties of rings-Isomormorphim-Types of rings-

Characteristic of a ring-Subrings Quotient Rings-Ideals-Maximal and prime ideals-Homomorphism of

rings.

12

UNIT-IV Field –Fields of quotients of an integral domain-Ordered Integral Domain-Unique

factorization domain-Euclidean Domain –Polynomial Rings-Polynomial Rings over U.F.D

Polynomials over Q. 12

UNIT-V Bilinear forms & Lattices-Introduction-Bilinear forms –Quadratic forms-Partially ordered

sets-Lattices-Distributive Lattices-Modular Lattices-Boolean Algebra.

12

Total: 60 Hours

COURSE OUTCOME


CO1: Explain basic concepts of Groups ,Properties, Permutations Groups

CO2: Basic concepts of Subgroups, Cyclic Groups, Order of the element, Cosets,State and Prove

Lagranges Theorem,Normal Subgroups , Quotient Groups-Isomorphisms- Homomorphisms

CO3: Concepts of Rings, Subrings, Quotient rings, Explain Properties of rings, Characteristic of a

ring,Ideals-Maximal and prime ideals, Homomorphism of rings

CO4: Illustrate Fields of quotients of an integral domain , Explain Ordered Integral Domain,

- Unique factorization domain-Euclidean Domain, Explain Polynomial Rings

CO5: Define Bilinear and Quadratic forms, Explain Partial ordered set, Define lattices , Analyze

Distributive and Modular lattices, Explain Boolean Algebra

TEXT BOOKS 1. „Modern Algebra‟ , S.Arumugam, A.Thangapandi Isaac,Scitech Publications(India) Pvt.Ltd. 4 th

Reprint,June 2006

2.

REFERENCE BOOKS 1. Modern Algebra‟ , M.L.Santiago, Tata McGraw-Hill Publishing Co,Ltd, 2009. 2. Topics in Algebra‟I.N.Herstein, Second Edition, Wiley India Pvt. Ltd ., New Delhi. Reprint :

DSE ADVANCED CALCULUS

L T P Credits

4 0 0 4 COURSE OBJECTIVE

Students shall develop a solid understanding of the rigorous foundations of calculus and basic topics of

analysis, preparing for advanced coursework in analysis

UNIT-I Functions – Real Valued functions – Equivalence – Countability – Real Numbers – Least

upper bounds. (Sections 1.3 to 1.7) Sequence of real numbers – Definition of sequence and

subsequence – Limit of a sequence – Convergent sequences – Divergent Sequences. (Section 2.1 to

2.4). 12

UNIT-II Sequences: Bounded sequences – Monotonic sequences – operations on convergent

sequences – operations on Divergent sequences – Limit superior and limit inferior – Cauchy sequences.

(Section 2.5 to 2.10). 12

UNIT-III Series :Series of real numbers – convergence and divergence – series with non-negative

terms – alternating series – conditional convergence and absolute convergence – Rearrangement of

series – Test for absolute convergence – series whose terms form a non-increasing sequence. (Sections

3.1 to 3.7). 12

UNIT-IV Metric space :Limits and Metric spaces – limit of a function on the real line – metric spaces

limits in metric spaces (sections 4.1 to 4.3). 12

UNIT-V Functions on metric spaces: Continuous functions on metric spaces- Functions continuous at

a point on the real line – Reformulation – functions continuous on a metric space – open sets – closed

sets – Discontinuous functions on R1. (Sections 5.1 to 5.6). 12

Total: 60 Hours

COURSE OUTCOME


CO1: Define Real Valued functions – Equivalence – Countability – Real Numbers – Least upper

bounds with examples and related theorems.,Define Sequence of real numbers – Definition of

sequence and subsequence – Limit of a sequence – Convergent sequences – Divergent

Sequences with examples and related theorems.

CO2: Explain Bounded sequences – Monotonic sequences – operations on convergent sequences –

Explain operations on Divergent sequences – Limit superior and limit inferior – Cauchy‟S

equences.

CO3: Explain Series of real numbers – convergence and divergence – series with non-negative terms

– alternating series .Analyse conditional convergence and absolute convergence –

Rearrangement of series – Test for absolute convergence – series whose terms form a non-

increasing sequence with theorems .

CO4: Define Limits and Metric spaces – limit of a function on the real line with examples.

Define metric spaces limits in metric spaces with examples

CO5: Analyse Continuous functions on metric spaces- Functions continuous at a point on the real line

– Reformulation-Theorems .Define functions continuous on a metric space – open sets – closed

sets – Discontinuous functions on R.

TEXT BOOKS

1. Mechanics by P.Duraipandian and others, S.Chand & Co. (Reprint 2011)

REFERENCE BOOKS

1. Mechanics by S.G. Venkatachalapathy, Margham Publications edition 2012

2. Dynamics by K.Viswanatha Naik & M.S. Kasi, Emerald Publishers

3. Dynamics by A.V. Dharmapadam, S.Viswanathan publishers

4. Text book of Dynamics by M.K.Venkataraman

COURSE OBJECTIVE The main goal of the course is to introduce students to mechanics and its applications and for them to

learn the fundamentals of topic Types of forces, Forces on rigid body, Kinematics, Projectiles, Moment

of inertia.

UNIT-I-Kinematics

Kinematics: Basic units, velocity, acceleration, coplanar motion.

Chapter-1 : sections 1.1 to 1.4

12

UNIT-II-Work, Power & Energy

Work, Power & Energy-work, conservative field of force, power- simple problems. Rectilinear motion

under varying forces- simple harmonic motion, simple harmonic motion along a horizontal line, simple

harmonic along a vertical line- simple problems.

Chapter-11: sections 11.1 to 11.3


12

UNIT-III-Projectiles

Projectiles: Forces on a projectile, projectile projected on an inclined plane, enveloping parabola or

bounding parabola-simple problem.


12

UNIT-IV-Impact

Impact: Impulsive force, impact of a sphere, impact of two smooth spheres on a plane, oblique impact

of two smooth spheres- simple problems.

Chapter-14: sections: 14.1 to 14.5

12

UNIT-V-Central orbits Central orbits : Central orbit as plane, Differential equation of a central orbit, finding law of force and

finding the central orbit for a given law of force.

Moment of inertia of simple bodies, theorems of parallel and perpendicular axes, moment of inertia of

triangular lamina, circular lamina, circular ring, right circular cone, sphere hollow & solid.


Chapter-17: sections 17.1

12

Total: 60 Hours

COURSE OUTCOME


CO1: Define Velocity, acceleration and coplanar motion

CO2: Explain Work,Power, Energy and Simple Harmonic Motion (SHM) and find its geometrical

Representation and to find the composition of SHM.

CO3: Define parabola and to Prove that the path of a projectile is a Parabola.

CO4: Define Projectile, impulse, impact and laws of impact and to find the direct and oblique impact

of smooth elastic spheres

CO5: Determine the differential equation of a central orbit.

TEXT BOOKS 1. Mechanics by P.Duraipandian and others S.Chand & co (Reprint-2011)

DSE DYNAMICS L T P Credits

4 0 0 4

REFERENCE BOOKS

1. Mechanics by S.G. Venkatachalapathy, Margham publications edition 2012

2. Dynamics-K.Viswanatha naik and M.S.Kasi, Emerald publishers.

3. Dynamics-A.V. Dharmapadam, S.Viswanathan publishers.

4. Text book of Dynamics by M.K.Venkataraman.

DSE OPERATIONS RESEARCH

L T P Credits

4 0 0 4

COURSE OBJECTIVE

Operations research(OR) has many applications in science, engineering, economics, and industry and

thus the ability to solve OR problems is crucial for both researchers and practitioners. Being able to

solve the real life problems and obtaining the right solution requires understanding and modeling the

problem correctly and applying appropriate optimization tools and skills to solve the mathematical

model. The goal of this course is to teach you to formulate, analyze, and solve mathematical models

that represent real-world problems.

UNIT-I Linear programming problem and graphical method-

Linear programming -Introduction–General LPP-Standard form Canonical form – formulation –

graphical Method-Simplex Method. 12

UNIT-II Transportation and assignment Model- Transportation problem – assignment problem -

Travelling salesman problem. 12

UNIT-III Networks-: Rules for network construction – Critical Path Method - Time calculations in

PERT – PERT algorithm (Crashing Excluded) – Related problems. 12

UNIT-IV Game Theory- two Person Zero-Sum games with saddle point – without saddle point –

dominance rule –. Oddment method-Solving 2 x n or m x 2 game by graphical method. 12

UNIT-V Sequencing Problem and simulation models – n jobs through 2 machines – n jobs through 3

machines – n jobs through m machines. Graphical method-simulation models –simple problems.

12

Total: 60 Hours

COURSE OUTCOME


CO1: Explain basic concepts of Linear programming problem: Standard form–Canonical form –

Formulation – Graphical method – Simplex method

CO2: Explain Transportation problem , Assignment problem and Travelling salesman problem

CO3: Explain Rules for network construction ,Critical path method ,Apply Time calculations

in PERT-Related problems.

CO4: Explain Two person zero sum games with saddle point – Without saddle point – Dominance

Rule – Oddment method – Solving 2 x n or m x 2 game by graphical method.

CO5: Explain n” jobs through 2 machines – n jobs through 3 machines – n jobs through m machines.

Apply Graphical method – Simulation models

TEXT BOOK

Operations Research – P.K. Gupta and D. S. Hira, S. Chand & Co.

REFERENCE BOOKS

1. Operations Research – Kanthi Swaroop, P.K. Gupta,Manmohan, Sultan Chand & sons.

2. Operations Research – H.A. Taha, Prentice – Hall of India, New Delhi

3. Resource Management Technique – Sundaresan, Ganapathy Subramanian, Ganesan.,

Meenakshi Agency.

Unit -I: Introduction andBasic Concepts ofNSS 0 4

a) History, philosophy, aims &objectives ofNSS

b) Emblem, flag motto, song, badge etc.,

c) Organizational structure,roles and responsibilities ofvarious NSS

Functionaries

Unit-II:NSSProgrammes andActivities 10

a) Concept of regular activities, special camping, DayCamps

b) Basisof adoption ofvillage/slums,Methodologyof conducting Survey c)

Financial pattern ofthe scheme

d) Otheryouth prog./schemes of GOI

e) Coordination with different agencies

f)Maintenanceof diary

Unit-III: Understanding Youth 05

a) Definition, profileofyouth, categories ofyouth b)

Issues, challenges and opportunities foryouth

c) Youth as an agent of social change

Unit-IV:Community Mobilization 09

a) Mapping of communitystakeholders

b) Designing the messagein the context ofthe problem and cultureof the community c)

Identifyingmethods of mobilization

d) Youth – adultpartnership

Unit -V:VolunteerismandShramdan 07

a) IndianTradition of volunteerism

b) Needs&Importanceof volunteerism

c) Motivation and Constraints of Volunteerism

d) Shramdanas apart ofvolunteerism

Total:35 hrs.

SEC NSS -I L T P Credits

2 0 0 2

Unit-I:ImportanceandRoleofYouth Leadership 06

a) Meaning and types of leadership

b) Qualities of good leaders; traits of

leadership c) Importanceand role ofyouth

leadership

Unit-II: LifeCompetencies 11

a) Definition and importanceof life competencies

b) Communication

c) Inter Personal

d) Problem– solving and decision-making

Unit-III:SocialHarmony andNational Intergration 09

a) Indian historyand culture

b) Role ofyouth in peace-building and conflict resolution

c) Role ofyouth in Nationbuilding

Unit-IV:Youth Development Programmes inIndia 09

a) National Youth Policy

b) Youth development Programmes at theNational level, StateLeveland

Voluntarysector

c) Youth-focusedand Youth–led organizations

Total:35 hrs

Project work/Practical

Conducting Surveys on special theme andpreparing areport thereof.

SEC NSS -II L T P Credits

2 0 0 2

Unit – I: Citizenship 07

a) Basic Features ofconstitution ofIndia b) Fundamental Rights and Duties

c) Human Rights

d) Consumer awareness andthe legal rights of the consumerRTI

Unit–II: Family and Society 06

a) Concept of family,community,(PRIsand othercommunity-based Organizations and society b)

Growing up in thefamily– dynamicsand impact

c) Human Values

d) IVGender justice

Unit – III:Health, Hygiene&sanitation 07

a) Definition, needs and scopeof health education b) Food and Nutrition

c) Safedrinking water, waterbornediseases and sanitation (swatchBharat Abhiyan)

d) National Health Programme

e) ReproductiveHealth

Unit – IV:Youth Health 06

a) Healthylifestyles b) HIV AIDS, Drugs and substance abuse

c) HomeNursing

d) First Aid

Unit – V:Youth andYoga 09

a) History, Philosophyand concept ofyoga b) Myths and misconceptionsaboutyoga

c) Differentyogatraditions and theirImpacts

d) Yoga asapreventive, Primitive and

curativemethod

e) Yogaas atoolforhealthy; lifestyle

Total:35 hrs

Project work/ practical 40 marks

Preparation ofresearch project report.

SEC NSS-III

L T P Credits

2 0 0 2

SEMESTER-VI

DSE LINEAR ALGEBRA

L T P Credits

4 0 0 4

COURSE OBJECTIVE

Topics include systems of linear equations and their solutions, matrices and matrix algebra, inverse

matrices; determinants and permutations; real n-dimensional vector spaces, abstract vector spaces and

their axioms, linear transformations; inner products (dot products), orthogonality, cross products, and

their geometric applications; subspaces, linear independence, bases for vector spaces, dimension,

matrix rank; eigenvectors, eigenvalues, matrix diagonalization.

UNIT-I Linear equations: introduction-system of linear equations- matrices and elementary row

operations –roe reduced echelon matrices- matrix multiplication-invertible matrix. 12

UNIT-II Vector spaces: introduction- Elementary Basic Concepts- Linear Independence- Bases and

dimensions –computations concerning subspace. 12

UNIT-III Linear transformations: The Algebra of Linear Transformations-representations of

transformations by matrices- double dual- transpose of linear transformation. 12

UNIT-IV Elementary canonical forms: introduction-characteristic value –annihilatin

g polynomials- invariant sub spaces- simultaneous triangulation- simultaneous diagonalization-direct

sum decomposition. 12

UNIT-V Inner product spaces: inner product-inner product space –linear functional and ad joints-

unitary operators – normal operators. 12

Total: 60 Hours

COURSE OUTCOME


CO1: Solve systems of linear equations using multiple methods, including elimination and

matrix inversion -Analyze vectors geometrically and algebraically

CO2: Carry out matrix operations, including inverses and determinants.

Demonstrate understanding of the concepts of vector space and subspace

CO3: Demonstrate understanding of linear independence, span, and basis.

Determine eigenvalues and eigenvectors and solve eigenvalue problems

CO4: Apply principles of matrix algebra to linear transformations.

Demonstrate understanding of inner products

CO5: Able to reduce a matrix to reduced echelon form of linear system for various problems.

Demonstrate understanding of inner products and associated norms.

Determine and use orthogonality

TEXT BOOKS

„Topics in Algebra‟ I.N.Herstein, Second Edition, Wiley India Pvt. Ltd .,New Delhi. Reprint : 2014

REFERENCE BOOKS 1. „Modern Algebra‟ , M.L.Santiago, Tata McGraw-Hill Publishing Co,Ltd, 2009.

2. Linear algebra –Kennth Hoffman ray kunze

3.„Modern Algebra‟, S.Arumugam, A.Thangapandi Isaac,Scitech Publications(India) Pvt.Ltd.

4th Reprint,June.

DSE REAL ANALYSIS

L T P Credits

4 0 0 4

COURSE OBJECTIVE

To provide the student with the concept and the understanding in functions of bounded variation,

Riemann-Stieiltjes integral and sequences of functions.

UNIT-I Sets: More about open sets – Connected sets – Bounded sets - Totally bounded sets –

Complete metric spaces. (Sections 6.1 to 6.4).

12

UNIT-II Metric space: Compact metric spaces – Continuous functions on Compact Metric spaces –

Continuity of the inverse functions – uniform continuity .(Section 6.5 – 6.8). 12

UNIT-III Riemann integral :Sets of measure zero- Definition of the Riemann integral – Existence of

Riemann integrals – properties of Riemann integrals – derivatives (Section 7.1 to 7.5)

12

UNIT-IV Riemann integral :Sets of measure zero- Definition of the Riemann integral – Existence of

Riemann integrals – properties of Riemann integrals – derivatives (Section 7.1 to 7.5)

12

UNIT-V Sequence and series: Pointwise convergence of sequence of functions – uniform

convergence of sequence of functions – consequences of uniform convergences – convergence and

uniform convergence of series of functions (Section 9.1 to 9.4) 12

Total: 60 Hours

COURSE OUTCOME


CO1: Explain basic concepts on open sets: Introduction, Connected sets – Bounded sets - Totally

bounded sets with examples and Related Theorems. Explain Complete metric spaces with

examples and Related Theorems

CO2: Define Compact metric spaces and Explain Compact metric spaces with theorems.

Define Continuous functions on Compact Metric spaces – Continuity of the inverse functions

with theorems. Define uniform continuity and Explain uniform continuity.

CO3: Explain Sets of measure zero with examples.

CO4: Definition of the Riemann integral – Existence of Riemann integrals – properties of Riemann

integrals.

CO5: Explain Point wise convergence of sequence of functions – uniform convergence of sequence

of functions – consequences of uniform convergences with examples. Define convergence and

uniform convergence of series of functions

TEXT BOOKS Methods of Real Analysis. Richard R. Goldberg. IBM Publishing New Delhi. 1970.

REFERENCE BOOKS 1. First course in Real Analysis .Sterling K .Barberian. Springer (India) Private Limited,NewDelhi.

2004

2. Mathematical Analysis Tom M. Apostel Narosa Publications, NewDelhi 2002

3. Real Analysis M.S.Rangachari New Century Book House, Chennai. 1996.

DSE COMPLEX ANALYSIS

L T P Credits

4 0 0 4

COURSE OBJECTIVE

The objective of this course is to introduce the fundamental ideas of the function of complex variables

and developing a clear understanding of the fundamental concepts of Complex Analysis such as

analytic functions, complex integrals and a range of skills which will allow students to work

effectively with the concepts.

UNIT-I Point at infinity-Stereographic projection. Analytic functions: Function of complex variables -

Mappings- Limits –Theorems on limits-Continuity. 12

UNIT-II Derivatives-Differntiation formulas-Cauchy Riemann equations-sufficient conditions-

Cauchy Riemann equations in polar form. 12

UNIT-III Analytic functions-Harmonic functions.Definite integrals-Contours-Line integrals-

Examples-Cauchy‟s theorem (proof based upon Greens theorem)-Cauchy-Goursat theorem (Statement

only).-Cauchy‟s Residue theorem (statement only) 12

UNIT-IV Mapping by elementary functions: Linear functions- Linear fractional transformations-Cross

ratios-fixed points-special linear fractional transformations. 12

UNIT-V The function 1

z-The function w= 2z -The transformation w=

ze - The transformation w=sin z

and w=cos z-conformal mapping: Basic properties.Upon successful completion of this course, students

will. 12

Total: 60 Hours

COURSE OUTCOME


CO1: Define Point at infinity-Stereographic projection. Analytic functions: Function of complex

variables -Mappings with examples, Define Limits –Theorems on limits-Continuity with

example.

CO2: Apply Cauchy Riemann equations-sufficient conditions- Cauchy Riemann equations in polar

form.

CO3: Define Analytic functions-Harmonic functions. Definite integrals-Contours-Line integrals-

Examples-Cauchy‟s theorem -Cauchy-Goursat theorem -Cauchy‟s Residue theorem

CO4: Apply Mapping by elementary functions: Linear functions- Linear fractional transformations-

Cross ratios-fixed points-special linear fractional transformations.

CO5: ExplainThe function 1

z-The function w= 2z -The transformation w= ze - The transformation w=sin

z and w=cos z-conformal mapping: Basic properties.

TEXT BOOKS

1.Calculus -Volume I by T.K.Manickavachagam Pillai , S. Narayanan

(S. Viswanathan Publications)

REFERENCE BOOKS

1. Complex analysis – T K Manicavachagom Pillay ,S.P.Rajagopalan and R.Sattanthan.

S.Viswanathan pvt Ltd.

2. Complex analysis- P.Duraipandian and Laxmi Duraipanidian , Emerald publishers.

DSE GRAPH THEORY

L T P Credits

4 0 0 4

COURSE OBJECTIVE

The objective of the course is to introduce students with the fundamental concepts in graph Theory,

with a sense of some its modern applications. They will be able to use these methods in subsequent

courses in the design and analysis of algorithms, computability theory, software engineering, and

computer systems.

UNIT-I Graph sand Subgraphs-Introduction-Definition and Examples –Degrees –Subgraphs-

Isomorphims-Ramsey Numbers-Independent Setsand Coverings-Matrices. 12

UNIT-II Degree Sequences -Introduction-Degree Sequences-Graphic Sequences-

Connectedness-Introduction-Walks,Trails and Paths-Connectedness and Components-Blocks-

Connectivity . 12

UNIT-III Eulerian and Hamiltonian Graphs -Introduction-Eulerian Graphs-Hamiltonian Graphs

Trees-Introduction-Characterisation Of trees-Centre of a trees. 12

UNIT-IV Matchings-Introduction -Matchings-Matchings in Bipartite Graphs

Planarity- Introduction-Definitionsand Properties-Characterisation of Planar Graphs-

Thickness,Crossing and Outer Planarity. 12

UNIT V Colourability- Introduction-Chromatic Number and Chromatic Index-The Five Colour

Theorem-Four Colour Problem-Chromatic Polynomials-Directed Graphs- Introduction-Definitions and

Basic Properties-Paths and Connections-Digraphsand Matrices-Tournaments-Some Applications.

12

Total: 60 Hours

COURSE OUTCOME


CO1: Explain basic concepts of various types of graphs.Properties of that graphs.

Basic theorems discussed.

CO2: Define the degree of the graph ,sequence of the graph,walk, path, connected ,disconnected and

component

CO3: Explain the concept of graph, tree, Euler graph, cut set and Combinatorics

Identify whether graphs are Hamiltonian and/or Eulerian

CO4: Solve problems involving vertex and edge connectivity, planarity and crossing numbers

Apply the theorems that are treated in the course for problem solving and proofs

CO5: Explain the concept about colorings, chromatic number and tournaments.

Solve problems involving vertex and edge coloring

TEXT BOOKS 1. “Invitation to Graph Theory” S.ARMUGAM AND S.RAMACHANDRAN

REFERENCE BOOKS

1. A First course in Graph Theory‟, S.A. Choudum- MacMillan India limited. Reprint 2007.

2. Graph theory with applications to engineering and Computer Science, Narsingh Deo, , Prentice

Hall of India Pvt ltd.

SEC/VAC QUANTITATIVE APTITUDE

L T P Credits

2 0 0 2

Course objectives

To Introduce concepts of mathematics with emphasis on analytical ability computational skill needed in

competitive examinations.

UNIT-1

Simplification -Permutations and Combination 06

UNIT-2

Problems on Trains - Ages - Time and distance Series - Time & Work- Percentage problems 06

UNIT-3

Ratio &Proportion - Square roots - Surds and Indices – Averages 06

UNIT-4

Interest – Simple and compound - Profit and Loss 06

UNIT-5

Calendar –Clocks -Odd Man Out & Series - logical Reasoning - direction sense test- Venn

diagrams- Logical verbal puzzles 06

Total :30 hours

TEXT BOOK Quantitative Aptitude by R.S.Agarwal

GENERIC ELECTIVE (GE)

GE STATISTICS

L T P Credits

3 0 0 3

Course objectives

The course was designed in such a way to get hands on training in the Biochemical methods in the

aspect of doing research and to impart the knowledge of Statistics to the students.

Unit I - Introduction to statistics

Diagrammatic and graphical representation – measures of central tendency: mean, median, mode. 8

Unit II- Measures of dispersion

Range, quartile deviation, mean deviation, standard deviation & Coefficient of Variation 10

Unit III Correlation & Regression Analysis

Correlation analysis: Scatter diagram method, Karl Pearson‟s method, spearman‟s rank correlation

method- regression analysis: regression equation of X on Y and Y on X - simple problems. 10

Unit IV Test of Hypothesis

Test of Hypothesis-, t-test, F -test , chi-square test 9

Unit V Analysis of Variance

One way ANOVA,Two way ANOVA- Design of Experiments- CRD,RBD,LSD 8

Total: 45 Hours

COURSE OUTCOME At the end of this course the students will be able to,

CO1 :Definition of Diagrammatic & Graphical representation, mean, median ,mode and illustration

CO2: Explanation of Measures of dispersion and problems

CO3: Basic concepts of correlation & regression analysis and problems

CO4: Discuss about Sampling and Hypothesis testing , Problem solving various test.

CO5: Discuss about Analysis of variance and problem solving

TEXT BOOKS

1. S.P. Gupta, Statistical Methods, 44th

Edition, Sultan Chand & Sons,2014.

REFERENCE BOOKS

1. S.P.Rajagopalan and R. Sattanathan, Business Statistics and Operations Research, Tata Mc

Graw-Hill publishing company Ltd., 2nd

Edition, 2009.

2. P.R. Vittal, Business Statistics, Margham Publications, Second Edition, 2012.

3. Gupta S. C, V. K. Kapoor, Fundamentals of Mathematical Statistics, 11th

edition, Sultan Chand

and Sons, 2002.

4. Beri G, Business Statistics, Tata McGraw Hill Publishing Company Limited, 2009.

GE BUSINESS MATHEMATICS

L T P Credits

3 0 0 3 Course objectives

To develop the skills of the students in the concepts of Mathematics . The course will also serve as a

prerequisite for post graduate and specialized studies and research.

UNIT-I-Indices and Logarithms; Theory of Sets: Meaning, elements, types, presentation and equality

of Sets, Union, Intersection, Complement and Difference of Sets, Venn Diagram, Cartesian Product of

two Sets, Applications of Set Theory. 10

UNIT-II-Elementary idea of Permutations and Combinations. 8

UNIT-III-Sequence and Series, A.P, G.P. 7

UNIT-IV-Data interpretation- Introduction, approaches to data interpretation, tabulation, Bar graphs,

Pie charts, Line graphs, Mix graphs 10

UNIT-V-Linear Programming

Formulation of Linear Programming; Graphical method of solution; Problem relating two variables

including the case of mixed constraints; cases having no solution 10

TOTAL HOURS: 45

COURSE OUTCOME At the end of this course the students will be able to,

CO1: Definition of sets and operations on sets, Application of set theory

CO2: Discuss about elementary idea of permutations and combinations

CO3: Definition of sequence and series, problems of A.P & G.P

CO4: Basic Concepts of Graphical representation of data

CO5: Concept of Linear programming and problems

TEXT BOOKS

1.Allen B.G.D: Basic Mathematics; Mcmillan, New Delhi.

2.Volra. N. D. Quantitative Techniques in Management, Tata McGraw Hill, New Delhi.

3.Kapoor V.K. Business Mathematics: Sultan chand and sons, Delhi.

REFERENCE BOOKS

1. Business Mathematics by P.R.Vital

GE BUSINESS STATISTICS

L T P Credits

3 0 0 3

Course objectives

To develop the skills of the students in the concepts of Statistics, Time Series and Index Numbers. The

course will also serve as a prerequisite for post graduate and specialized studies and research.

UNIT-I-Introduction to Statistics as a Subject of Study, Describing Characteristics by numbers,

Information and Data, Processing information and use of statistical procedures. 7

UNIT-II-Frequency Distribution and Graphs Frequency, Frequency Distributions, Data Grouping:

Discrete and Continuous, Introduction to Graphs, Graph for Qualitative variables, Graph for

Quantitative variables, Various types of graphs and diagrams: pictographs, bar diagram, scatter

diagram, histogram, pie chart, frequency curve and frequency polygon. 10

UNIT-III-Measures of Central Tendency Mean, Median and Mode, Weighted Average, Geometric

Mean, Harmonic Mean, Relative merits of Mean, Median and Mode in a distribution. 10

UNIT-IV-Measures of Dispersion, Skewness and Kurtosis Measures of Dispersion, Range, Co-efficient

of Range, Quartiles, Inter-Quartile Range and Quartile Deviation, Coefficient of Quartile Deviation,

Mean Deviation, Coefficient of Mean Deviation, Standard Deviation, Coefficient of Variation. 10

UNIT-V-Correlation and Regression Introduction to Correlation, Karl Pearson‟s product moment Co-

efficient of Correlation, Positive, negative and zero correlation, Correlation through Scatter diagrams. 8

TOTAL HOURS: 45

COURSE OUTCOME


CO1: Study of statistics Processing information and use of statistical procedures

CO2: Explain basic statistical concepts such as statistical collection, tabular and graphical

representation of data

CO3: Demonstrate the concept of mean, median and mode, geometric mean, harmonic mean

CO4: Illustrate the common measures of dispersion from grouped and ungrouped data

CO5: Basic concepts of Correlation & regression analysis, problems

TEXT BOOKS

1. Roger E. Kirk Statistics: An Introduction, Fifth Edition, Thomson-Wadsworth Publication. 2. Mc

Clave, Benson and Sincich, Statistics for Business and Economics, Eleventh Edition, Prentice Hall

Publication.

3. Jack Levin, James Alan Fox , Elementary Statistics in Social Research, Pears

REFERENCE BOOKS

1. Business Statistics by S.P.Rajagopalan & P.Sattanathan

2. Business Statistics by P.R.Vital

GE OPTIMAIZATION TECHNIQUE

L T P Credits

3 0 0 3

Course objectives

To impart the knowledge of various concepts of Operations Research.This course will also serve as a

prerequisite for post graduate and specialized studies and research.

UNIT-I-Networks-: Rules for network construction – Critical Path Method - Time calculations in

PERT – PERT algorithm (Crashing Excluded) – Related problems. 8

UNIT-II-Inventory Models- Basic concepts – EOQ Models: (a) Uniform demand rate infinite

production rate with no shortages (b) Uniform demand rate finite production rate with no shortages (c)

Manufacturing Model with shortages (Uniform demand rate, finite production rate with shortages) –

Classical Newspaper boy problem with discrete demand Simple applications 10

UNIT-III-ReplacementModels- Model 1-Model-Replacement of an item whose maintenance cost

increases with time and money value is not changed. Model 2- Replacement of an item whose

maintenance cost increases with time and money value is changes with time.

Model 3- Replacement of items due to sudden Failure. Model 4- Staff replacement. 10

UNIT-IV-Game Theory- two Person Zero-Sum games with saddle point – without saddle point –

dominance rule – Solving 2 x n or m x 2 game by graphical method. 7

UNIT-V-Queuing models- Model 1 (M/M/1: ∞/FIFO)-Model2 (M/M/S: ∞/FIFO) – Model 3

(M/M/1 : k/FIFO) Model 3 M/M/S; k/FIFO) 10

Total: 45 Hours

COURSE OUTCOME


CO1: Study of Network construction – problems based on CPM & PERT

CO2: Explain basic concepts of EOQ models

CO3: Demonstrate the concept of various Replacement models

CO4: Basic definition of Game theory- Examples

CO5: Explain various Queuing models

TEXT BOOK 1. Operations Research – P.K. Gupta and D. S. Hira, S. Chand & Co.

2.

REFERENCE BOOKS 1. Operations Research – Kanthi Swaroop, P.K. Gupta, Manmohan, Sultan Chand & sons.

2. Operations Research – H.A. Taha, Prentice – Hall of India, New Delhi

3. Resource Management Technique – Sundaresan, Ganapathy Subramanian, Ganesan.

GE QUANTITATIVE APTITUDE

L T P Credits

3 0 0 3

Course objectives

To Introduce concepts of mathematics with emphasis on analytical ability computational skill needed in

competitive examinations.

UNIT-1

Simplification -Permutations and Combination 8

UNIT-2

Problems on Trains - Ages - Time and distance Series - Time & Work- Percentage problems 10

UNIT-3

Ratio &Proportion - Square roots - Surds and Indices – Averages 10

UNIT-4

Interest – Simple and compound - Profit and Loss 7

UNIT-5

Calendar –Clocks -Odd Man Out & Series - logical Reasoning - direction sense test- Venn

diagrams- Logical verbal puzzles 10

Total: 45 Hours

COURSE OUTCOME


CO1: Basic concept of permutation & combination

CO2: Examples on Trains, time & work, percentage

CO3: Demonstrate the concept of Ratio & proportion

CO4: Basic definition of Simple & compound interest

CO5: Explain various reasoning problems

TEXT BOOK Quantitative Aptitude by R.S.Agarwal

department of mathematics school of basic sciences

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