faculty of science the maharaja sayajirao ...5 gilreath e. s, (1985) fundamental concepts of...
TRANSCRIPT
-
FACULTY OF SCIENCE
THE MAHARAJA SAYAJIRAO UNIVERSITY OF BARODA
CBCS -2019 PATTERN
ACADEMIC YEAR 2020-21 ONWARDS
BSc-II SYLLABUS
GENERIC ELECTIVE COURSES
-
INDEX
Sr. No. BSC-II Subject Page No.
1. Botany 1 - 4
2. Chemistry 5 - 14
3. Geography 15 - 22
4. Geology 23 - 30
5. Mathematics 31 – 40
6. Physics 41 - 47
7. Statistics 48 - 56
8. Zoology 57 - 60
9. Biochemistry 61 - 62
10. Economics 63 - 64
11. Microbiology 65 - 66
-
Syllabus: BOTANY
1 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science,Department of Botany
Sayajigunj , Vadodara 390002, 0265-2791891, [email protected]
ACADEMIC YEAR
2020-2021
Bachelor of Science (Hons.) YEAR 2 Generic Elective I
: Paper I-Plant Systematics and development (Theory) CREDIT 3
Semester 3 HOURS 45 OBJECTIVES: The students will be able to classify Plants and enable them to prepare herbarium.
The students will understand basic structure of flower and understand different developmental processes during micro and megasporogenesis.
COURSE CONTENT / SYLLABUS
UNIT-I
Basics of Plant Systematics
15 hrs.
Introduction: Aims and components of systematics; identification, nomenclature and classification, Taxonomic categories Nomenclature: Principles and rules of Nomenclature; ranks and names; type method. Storage and Preseravtion: Importance of herbarium specimens and their preparation, other methods of storing plant material. Herbaria and Botanical Garden. Systems of Classification: Types of classification, Bentham and Hooker’s System
UNIT-II
Methods in Systematics and Families of Angiosperms
15 hrs. Polypetalae: Annonaceae, Malvaceae, Rutaceae, Meliaceae, Fabaceae, Caesalpiniaceae, Mimosaceae. Gamopetalae: Asteraceae, Apocynaceae, Solanaceae, Lamiaceae. Monoclamydae: Amaranthaceae, Euphorbiaceae (Inclu. Phyllanthaceae). Monocotyledonae: Liliaceae, Poaceae.
UNIT-III
Developmental biology
15 hrs.
Introduction of flowering; flower as a modified determinate shoot. Anther wall: Structure and functions, microsporogenesis,. Microgametogenesis; Pollen wall structure, NPC system; Palynology and scope (a brief account) Female gametophyte– megasporogenesis (monosporic, bisporic and tetrasporic) and megagametogenesis (details of Polygonum type); Organization and ultrastructure of mature embryo sac. Pollination types and significance, path of pollen tube in pistil, double fertilization.
REFERENCES 1. Plant Developmental biology-Biotechnological Perspective Vol I 2009 2. B.M. Johri and P.S. Srivastava 2001 Reproductive biology of plants 3. S.S. Bhojwani and S.P. Bhatnagar 2008 The Embryology of Angiosperms 4. Gurucharan Singh. Plant Systematics 5. O.P. Sharma. Plant Taxonomy. 6. Judd. Plant Systematics.
-
Syllabus: BOTANY
2 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science,Department of Botany
Sayajigunj , Vadodara 390002, 0265-2791891, [email protected]
ACADEMIC YEAR
2020-2021
Bachelor of Science (Hons.) YEAR 2 Generic Elective 2:
:Paper I: Physiology and Biochemistry of plants (Theory) CREDIT 3
Semester 3 HOURS 45 OBJECTIVES:
To understand the principles and concepts of physiology and biochemistry of plants
COURSE CONTENT / SYLLABUS
UNIT-I
Transportation of Water and Nutrition
15 hrs. Plant water relationships- Water potential, pathway of water movement, Water and plant cells, Ascent of sap- cohesion-tension theory; Transpiration and factors affection transpiration, Nutrient uptake and translocation in phloem- Macro and micronutrients, Experiments and mutants to study nutritional deficiency in plants, essential elements and chelating agents, Role of ATP, carrier system, proton-ATPase pump and ion flux in nutrient uptake
UNIT-II
Photosynthesis and Nitrogen Metabolism
15 hrs. Photosynthesis- Photopigments and its role, Antenna complex and reaction centres, light reactions, carbon reactions, photorespiration, C3, C4, CAM photosynthesis, Respiration, control and regulation of photosynthetic reactions Nitrogen metabolism: Assimilation of nitrate by plants, Biochemistry of dinitrogen fixation in Rhizobium, GS and GOGAT enzyme system
UNIT-III
Phytohormones, Movements, Photoresponses and Senescence.
15 hrs. Role of plant hormones: auxin, gibberellins, cytokinins, ethylene, abscisic acid, brassinosteroids, strigolactones, Jasmonic acid, Salicylic acid; Phototropism and Gravitropism; phytochromes and light control of plant development, blue-light responses; Photoperiodism; plant circadian rhythm; vernalization , Senescence and cell death
REFERENCES 1. Salisbury FB, Ross CW, 2009. Plant physiology. 4th Ed., Cengage learning. 2. Taiz L, Zeiger E, Moller Ian, Murphy Angus, 2018. Plant physiology and development. 6th Ed, Oxford University press. 3. Taiz L, Zeiger E, Moller Ian, Murphy Angus, 2018. Fundamentals of plant physiology. 1st Ed, Oxford University press. 4. Buchanan Bob et al., 2015. Biochemistry and molecular biology of plants. 2nd Ed., Wiley-Blackwell. 5. Voet D, Voet JG, Pratt CW, 2016. Fundamentals of Biochemistry. 5th Ed., Wiley.
-
Syllabus: BOTANY
3 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science,Department of Botany
Sayajigunj , Vadodara 390002, 0265-2791891, [email protected]
ACADEMIC YEAR
2020-2021
Bachelor of Science (Hons.) YEAR 2 Generic Elective 1:
:Paper I: Plant Ecology and Adaptive Biology (Theory) CREDIT 3
Semester 4 HOURS 45 OBJECTIVES:
To familiarise the students with basic principles of ecology and ecosystems
COURSE CONTENT / SYLLABUS
UNIT-I
Ecosystem
15 hrs. Concept and structure of Ecosystem, Food chain, Food web, Ecological Pyramids, Energy flow, Production, Ecological efficiencies, Biogeochemical cycles: carbon, nitrogen and phosphorous, Ecological instruments
UNIT-II
Adaptive Biology
15 hrs. Ecological classification of plants: Hydrophytes, Mesophytes, Xerophytes and epiphytes, Insectivorous plants, Environmental factors: climate, edaphic. Biotic factors influencing plant growth, Air, water and land pollution, causes and control measures.
UNIT-III
Ecophysiology
15 hrs. Introduction to Ecophysiology, Definition, Light intensity, Temperature, Water, Co2 Concentration, Wind and Flooding. Factors affecting Ecophysiology of plants, Plant responses in relation to climate change.
REFERENCES 1. Smith 2014 Elements of Ecology 2. Misra, R. 2018 Indian manual of plant Ecology 3. Eugene Odum 2017 Fundamentals of Ecology 4. Anil Kumar De 2018 environmental chemistry 5. R.S. Ambasht 2017 15th ed. A textbook of plant ecology 6. Khitoliya R.K. 2006 Environmental pollution 7. P.D. Sharma 2011 Ecology and Environment
-
Syllabus: BOTANY
4 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science,Department of Botany
Sayajigunj , Vadodara 390002, 0265-2791891, [email protected]
ACADEMIC YEAR
2020-2021
Bachelor of Science (Hons.) YEAR 2 Generic Elective 2:
: Paper I: Genetic engineering and plant biotechnology (Theory)
CREDIT 3
Semester 4 HOURS 45
OBJECTIVES: To familiarize the students with the fundamentals of Recombinant DNA technology, cell and tissue
culture techniques and their applications in Plant Biotechnology.
COURSE CONTENT / SYLLABUS
UNIT-I
Recombinant DNA Technology
15 hrs. Recombinant DNA technology, Restriction enzymes, Vectors, Gene cloning, Direct and indirect method of gene transfer, Transgenic and Cisgenic approaches for plant improvement; RNAi gene knockouts and overexpression, Gene editing tools:CRISPR-CAS9, Zinc finger nucleases, TALENs; screening; selection markers (nptII, hpt, bar, gox) and reporter genes- GUS, GFP, Luciferase, Agrobacterium
UNIT-II
Genetic Modified Organisms
15 hrs. Achievements in crop biotechnology, environment and industry (suitable example)- pest resistant plants (Bt cotton), herbicide resistance, disease and stress tolerance, transgenic crop with improved quality (flavrSavrtomato, golden rice, Amflora potatoes, Arctic apples), role of transgenic in pollution degradation (super-bug), leaching of minerals, production of industrial enzymes, edible vaccine, improved ornamental plants.
UNIT-III
Plant Tissue Culture
15 hrs. Concepts of Plant cell and tissue culture, Scope and importance, Totipotency and Morphogenesis, Plant tissue Culture media, regeneration of plants from differentiated tissues, organogenesis, and somatic embryogenesis, and synthetic seeds Micropropagation and its stages, factors affecting micropropagation, Protoplast culture, somatic hybrids and cybrids, Applications in crop improvement.
REFERENCES 1. Primrose SB. 2001. Molecular Biotechnology. Panima. 2. Primrose SB, Twyman R, 2009. Principles of gene manipulation and genomics. 7th Ed, Wiley. 3. Sambrook et al., 2014. Molecular cloning: a laboratory manual part 1 to 3. 4th Ed., Cold spring harbor laboratory press. 4. Singh BD, 2011. Plant biotechnology. 2nd Ed, Kalyani publishers. 5. Bhojwani SS, Soh WY, 2003. Agrobiotechnology and plant tissue culture. Science publishers. 6. Thorpe Trevor et al., 2013. Plant tissue culture: Techniques and experiments. 3rd Ed, Academic press.
-
Syllabus: CHEMISTRY
5 | P a g e
CHEMISTRY
The Maharaja Sayajirao University of Baroda Faculty of Science
Department of Chemistry
The M S University of Baroda, Vadodara 390002
ACADEMIC YEAR
2020-2021
Bachelor of Science YEAR II Generic Elective: A
(Chemistry for Mathematics/Physics Students-1) Atomic structure, states of matter and electrochemistry
CREDIT 3
Semester I HOURS 45
OBJECTIVES:
COURSE CONTENT / SYLLABUS
UNIT-I
Atomic structure
15 hrs.
Dual nature of radiation and matter, de Broglie’s principle, Heisenberg’s Uncertainty principle, Schrödinger wave equation and its interpretation, origin of quantum numbers and symbols for orbitals, shapes of orbitals - s, p, d. Radial and angular probabilities. Electronic configuration andPeriodic properties–atomic size, ionization energy, electron affinity, electronegativity. Trends in the metallic character. Partial ionic character and Fajan’s rules, Van der wall’s forces, other weak electrostatic forces and H-bonding (intra and inter).
UNIT-II
States of Matter
15 hrs.
Gaseous StateRecapitulations of Ideal gas/Real gas, Heat capacity (molecular basis), Heat capacity ratio. Deviation from ideal gas Behavior-Boyle temperature, Compressibility Factor. Derivation of van der Waals gas equation. Liquefaction of gases, Critical phenomenon and critical constants, Law of corresponding states, Reduced equation of state, Joule-Thomson effect and Inversion temperature(definition). Methods of liquefaction of gases: Farady’s, Linde’s methods and Claude’s methods. Liquid State: Intermolecular forces and structure of liquids (qualitative description0 Definition and determination of Vapour Pressure, Surface tension, Viscosity and their variation with temperature. Parachor and its importance.
UNIT-III
Electrochemistry
15 hrs.
Metallic and electrolytic conductor: Condition of electricity by metals and solutions. Classification of substances – electrolytes and nonelectrolytes. Arrhenius theory of electrolytic dissociation. Specific, equivalent and molar conductance – measurement of conductance – variation of conductance with dilution for strong and weak electrolytes. Ionic Equilibria: Arrhenius theory of electrolytic dissociation, ionic product of water, pH scale, measurement of pH, common ion effect, Henderson’s equation, buffer solutions, buffer capacity. Hydrolysis of salts. Electrolytic and galvanic cells, reversible and irreversible cells. EMF of a Cell and its measurement. Nernst’s equation. Determination of E0 and equilibrium constant of cell reaction. Standard electrodes (including reference electrodes), Electrochemical series of electrode potentials. Convention for half cell potential.
-
Syllabus: CHEMISTRY
6 | P a g e
Applications of EMF measurements.
REFERENCES 1. Lee J.D., (1991) Concise Inorganic Chemistry, 4th Edition, Chapman and Hall, 2.
Puri B.R., Sharma L.R. and Kalia K.C., (2006). Principles of Inorganic Chemistry, 29th Edition, Milestone Publ., Delhi
3 Cotton F.A. and Wilkinson G., (2009) Basic Principles of Inorganic Chemistry, 3rd Edition, Wiley Eastern,
4 Mahan B.H., (2009) University Chemistry, 3rd Edition, NarosaPubl House, New Delhi.
5 Gilreath E. S, (1985) Fundamental Concepts of Inorganic Chemistry, 2nd Ed, McGraw Hill. 6
Atkins P. and Paula J. D. (2006), Physical Chemistry, 8th Edition (International Student Edition) Oxford Univ. Press, New Delhi.
7 Glasstone, S. (1990), Text Book of Physical Chemistry, 2nd Edition Reprint, Macmillan Ltd. 8
Puri, B. R., Sharma, L.R. and Pathania, M. S. (2009), 44st Edition, Principles of Physical Chemistry, Vishal Publ. Co., Jalandhar
9 Bahl, B.S., Bahl A. and Tuli, G.D. (2007), Essentials of Physical Chemistry, 25th Edition, S. Chand, New Delhi.
10 Puri, B. R. Sharma, L. R. and Pathania, M. S. (2009), 44th Edition, Principles of Physical Chemistry, Vishal Publ. Co., Jalandhar
11 Bahl B. S., Bahl A. and Tuli G. D. (2007), Essentials of Physical Chemistry, 25th Edition, S. Chand. New Delhi.
12 Mahan B. H., (2009), University Chemistry, 3rd Edition, Narosa Publishers, New Delhi.
13
Puri, B. R. Sharma, L. R. and Kalia K.C., (2006). Principles of Inorganic Chemistry, 29th Edition, Milestone Publ., Delhi
-
Syllabus: CHEMISTRY
7 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science
Department of Chemistry
The M S University of Baroda, Vadodara 390002
ACADEMIC YEAR
2020-2021
Bachelor of Science YEAR II Generic Elective-B
(Chemistry for Life Sciences Students-1) Chemistry of carbonyl compounds, natural products, drugs and bioinorganic
chemistry
CREDIT 3
Semester I HOURS 45
OBJECTIVES:
COURSE CONTENT / SYLLABUS
UNIT-I
Chemistry of carbonyl compounds
15 hrs.
Aldehyde and Ketones: Preparation of aldehydes: Oxidation, Reduction, Reimer Tiemann reaction, Vilsmeier-Haack reaction, Skattebol reaction. Preparation of ketones: Oxidation of secondary alcohol, Friedel–Crafts acylation, use of lithiumdialkylcuprites, from ethyl aceto acetate, Reactions of aldehyde and ketones: Concept of nucleophilic addition reaction, Addition of cyanide, acetal formation, Condensation reactions with amines and their derivatives, Reaction of carbonyl compounds with Grignard reagent, Aldol condensation, Cannizzaro reaction, Wittig reaction,Reformatsky reaction,haloform reaction, Beckmann Rearrangement. Carboxylic acids and its Derivatives: Introduction, acidity, Preparation: oxidation of primary alcohols, alkylbenzenes, carbonation of Grignard reagents, hydrolysis of nitriles, Kolbe Schmitt reaciton. Reactions of carboxylic acids: HellVolhard-Zelinesky reaction, reduction, conversion into acid chlorides, anhydrides, esters and amides, mechanism of esterification and decarboxylation.
UNIT-II
Chemistry of Natural Products
15 hrs.
Terpenes: Classification and isolation, structure and synthesis of citral, geraniol and α-terpeniol, essential oils. Carbohydrates: Classification and nomenclature, open chain and cyclic structure of glucose, determination of ring size, mutarotation and its mechanism, epimers, chain shortening and chain lengthening of aldose, conversion of glucose to fructose and Mannose, conversion of fructose to glucose, formation of glycosides, ethers and esters, erythro and threodiastereoisomers. Disaccharides and polysaccharides: Introduction to maltose, sucrose and lactose, starch and cellulose. Energy production in biological systems, biological oxidation of alcohols and carbohydrates. Drugs: Classification, methods of preparation and uses of Aspirin, mode of action, salol principle, true and partial salol, sulphanilamide, sulphathiazole, succinoylsulphathiazole, mechanism of action of sulpha drugs.
-
Syllabus: CHEMISTRY
8 | P a g e
UNIT-III
Bioinorganic Chemistry
15 hrs.
Metal ions present in biological systems, geochemical effect on the distribution of metal ions, bulk and trace metal ions in biological systems. Excess and deficiency of essential metal ions, toxicity of metal ions (Hg, Pb, Cd and As), Chelation therapy for removal of excess and toxic metal ions. Role of various metal ions in biological system: Na+/K+ pump, Zinc containing enzymes like Carbonic Anhydrase and Carboxypeptidases. Iron in haemoglobin and myoglobin.
REFERENCES 1. Morrison R.T. and Boyd R.N; (1994) Organic Chemistry, Prentice Hall of India, New Delhi 2. Pine S.H; (1993) Organic Chemistry, McGraw Hill, New Delhi. 3. Loudon G M; (2002) Organic Chemistry, Oxford, New York. 4 Graham Solomons T.W. and Fryhle C., (2002) Organic Chemistry, John Wiley, New York. 5 Singh S.P. and Mukherjee S.M; (1984) Organic Chemistry, McMillan India.. 6
Tewari K. S. and Vishnoi N. K.; (2006) A Textbook of Organic Chemistry, Vikas Publishing House, New Delhi.
7 Finar I L Organic Chemistry Vol 1 & 2 ELBS/ Pearson 1982 8 Kar A.: Medicinal Chemistry. New Age International Publishers. 9 Chatwal G. R,. Synthetic Drugs.-Himalaya Publication Home 10 Greenwood, N. N. &Earnshaw A., Chemistry of the Elements, Butterworth-Heinemann 1997. 11 Lee J.D. Concise Inorganic Chemistry, ELBS, 1991. 12 EmeleusH. J.andSharpeA. G.(1994)ModernAspectsofInorganicChemistry,4thEdition UBS 13 BanerjeeD.,(1993)CoordinationChemistry,TataMcGrawHill 14 CottonF.A.andWilkinsonG.,(1988)BasicInorganicChemistry,WileyEastern.
-
Syllabus: CHEMISTRY
9 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science
Department of Chemistry
The M S University of Baroda, Vadodara 390002
ACADEMIC YEAR
2020-2021
Bachelor of Science YEAR I
I Generic Elective Practical CREDIT 1
Semester I HOURS 20 OBJECTIVES:
COURSE CONTENT / SYLLABUS
I
Qualitative analysis
20hrs Qualitative analysis of Inorganic Mixtures containing 4 (four) radicals. 10 Mixtures
REFERENCES 1. Shah R C, (2005) Inorganic Analysis Part I Qualitative, Baroda Book Depot, Vadodara 2. Shah R C, (2005) Inorganic Analysis Part II Quantitative, Baroda Book Depot, Vadodara
-
Syllabus: CHEMISTRY
10 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science
Department of Chemistry
The M S University of Baroda, Vadodara 390002
ACADEMIC YEAR
2020-2021
Bachelor of Science YEAR II Generic Elective-A
(Chemistry for Mathematics/Physics Students-2) Thermodynamics, quantum mechanics and phase equilibria
CREDIT 3
Semester II HOURS 45
OBJECTIVES:
COURSE CONTENT / SYLLABUS
UNIT-I
Thermodynamics
15 hrs.
Thermodynamics: Definition and explanation of terms – types of systems, intensive and extensive properties, thermodynamics process – cyclic, reversible, irreversible, isothermal and adiabatic processes. Zeroth law of thermodynamics: concept of heat and work. Internal energy and enthalpy.First law of thermodynamics: Statement and equation, Cp and Cv relationshipcalculation of W, E and H for the expansion of ideal gases and real gas under reversible, isothermal and adiabatic conditions. Joule – Thomson effect, inversion temperature and its significance. Thermochemistry: Standard states, standard enthalpy of formation-Hess’s law of heatSummation and its application. Second law of thermodynamics and its significance, Gibbs free energy
UNIT-II
Quantum mechanics
15 hrs.
Schrodinger wave equation, Laplacian operator, Energy associated with particle in one dimensional box (Qualitative treatment). Polar coordinates r, θ and separation of the wave equation in translation and rotational parts. , and R equations and the ( (θ) and R(r) functions. Quantum numbers derived from the wave equation, relation between quantum numbers and radial and angular nodes, spherical harmonics and shapes of orbitals. Radial probability, Screening effect and order of suborbital energies in multi-electronic atoms. Ground spectral states of atoms and ions (up to Z=30). Elementary concept of symmetry elements and symmetry operations, Point symmetries Cnv, D4th, D6th, Td and Oh.
UNIT-III
Phase equilibria
15 hrs.
Phase equilibria I: Phase, components, degrees of freedom, equilibrium between phase, phase boundaries, phase stability and phase transitions, Ehrenfest, classification of phase transitions, phase diagrams, Derivation of phase rule and Experimental procedures for phase studies. One component systems (water, sulphur, carbon dioxide, carbon, helium), supercritical fluid. Two component system involving eutectics, congruent and incongruent melting points. Solid solution, partial miscibility in solid and liquid states. Fractional crystallization, Ultrapurity and controlled impurity, zero refining.
REFERENCES
-
Syllabus: CHEMISTRY
11 | P a g e
1. Puri, B. R. Sharma, L. R. and Pathania, M. S. (2009), 44th Edition, Principles of Physical Chemistry, Vishal Publ. Co., Jalandhar
2. Bahl B. S., Bahl A. and Tuli G. D. (2007), Essentials of Physical Chemistry, 25th Edition, S. Chand. New Delhi.
3. Engel T. and Reid P. (2007), Physical Chemistry, Pearson Prentice Hall, Noida 4 Mahan B. H., (2009), University Chemistry , 3rd Edition, Narosa Publishing House, New Delhi. 5 Day M. C. and Selbin J. (1985) Theoretical Inorganic Chemistry, East-West Press 6
Cartmell E. and Fowtel G.W.A. (1977) valency and Molecular Structure, 4th Edition., ELBS, Butterworths
7 Kettle S.F.A., Murrell J. N. and Teddler S., (1985) The Chemical Bond, ELBS, Butterworths 8 Lee J.D., (1991) Concise Inorganic Chemistry, 4th Edition, Chapman and Hall. 9 Emeleus H.J., and Shape A. G. (1994) Modern Aspects of Inotganic Chemistry, 4th Ed., UBS 10
Atkins P. and Paula J. D. (2006), Physical Chemistry, 8th Edition (International Student Edition) Oxford Univ. Press, New Delhi.
11 Puri, B. R., Sharma, L.R. and Pathania, M. S. (2009), 44thEdition, Principles of Physical Chemistry, Vishal Publ. Co., Jalandhar.
12 Glasstone, S. (1990), Text Book of Physical Chemistry, 2nd Edition Reprint, Macmillan Co.
-
Syllabus: CHEMISTRY
12 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science
Department of Chemistry
The M S University of Baroda, Vadodara 390002
ACADEMIC YEAR
2020-2021
Bachelor of Science YEAR II Generic Elective-B
(Chemistry for Life Sciences Students -2) Bioorganic and analytical chemistry
CREDIT 3
Semester II HOURS 45
OBJECTIVES:
COURSE CONTENT / SYLLABUS
UNIT-I
Amines Amino acids an Nucleic acids
15 hrs.
Amines: Introduction, nomenclature, preparation, reactions, synthesis and reactions of diazonium salt, it’s application in organic synthesis. Amino acids: Introduction, Properties, Classification, Nomenclature, Isoelectric point, Preparation from a halo acids, malonic acid synthesis, Gabriel phthalimide synthesis, Reactions. Nucleic acids: Introduction, nucleoproteins, structure of nucleic acids, ribonucleosides and ribonucleotides, strcture of purine and pyrimide bases, the double helical structure of DNA, genetic code. chemistry of enzymes, applications of enzymes in chemistry.
UNIT-II
Bioorganic and Bioanalytical Chemistry
15 hrs.
Peptides and proteins:Structure of peptides and proteins, nomenclature of peptides classification of proteins, peptide structure determination, end group analysis, selective hydrolysis of peptides, classical peptide synthesis, solid phase peptide synthesis, protein denaturation. Physiological Buffers: Preparation, properties and uses of Carbonate, Bicarbonate, Phosphate, and Citrate buffers, Relation between pI, pKa1 and pKa2 for a neutral, acidic and basic amino acids. Titration and Ionization of Glycine, Lysine and Aspartic acid; correlation between pKa , pH, and pI values of these amino acids, potentiometric titrations, Ion selective electrodes- chloride, bicarbonate, pCO2 estimations, Flame photometry- principle and Na+, K+ estimations.
UNIT-III
Titrimetric Analysis
15 hrs.
Common apparatus and general considerations. Concepts of primary and secondary standards. Classification of titrimetric methods based on chemical reactions involved. Neutralization titrations –determination of end point, choice of indicators, titration curves and applications Complexometric titrations – types of EDTA titrations, metal ion indicators, applications in water analysis. Buffers and their action Oxidation reduction titrations: Indicators for redox titration, oxidation with potassium permanganate, oxidation with potassium dichromate, iodometric and iodimetric titrations.
REFERENCES
-
Syllabus: CHEMISTRY
13 | P a g e
1. Morrison R.T. and Boyd R.N; (1994) Organic Chemistry, Prentice Hall of India, New Delhi 2. Pine S.H; (1993) Organic Chemistry, McGraw Hill, New Delhi. 3. Loudon G M; (2002) Organic Chemistry, Oxford, New York. 4 Graham Solomons T.W. and Fryhle C., (2002) Organic Chemistry, John Wiley, New York. 5 Singh S.P. and Mukherjee S.M; (1984) Organic Chemistry, McMillan India.. 6
Tewari K. S. and Vishnoi N. K.; (2006) A Textbook of Organic Chemistry, Vikas Publishing House, New Delhi.
7 Finar I L Organic Chemistry Vol 1 & 2 ELBS/ Pearson 1982 8 Morrison R.T. and Boyd R.N; (1994) Organic Chemistry, Prentice Hall of India, New Delhi 9 Pine S.H; (1993) Organic Chemistry, McGraw Hill, New Delhi. 10 Loudon G M; (2002) Organic Chemistry, Oxford, New York. 11 Graham Solomons T.W. and Fryhle C., (2002) Organic Chemistry, John Wiley, New York. 12 Analytical Chemistry, G.D. Christian, John Willey & Sons. 6th Edition.2004 13 Douglas A. Skoog and Donald M..West: Fundamentals of Analytical Chemistry 14 Analytical Chemistry, G.D. Christian, John Willey & Sons. 6th Edition.2004 15 Douglas A. Skoog and Donald M..West: Fundamentals of Analytical Chemistry 16
G. H. Jeffery, J. Bassett, J. Mendham and R. C. Denny, Vogel’s Text Book of Qualitative Chemical Analysis, 5th Edn. , ELBS, 1991.
17 Christian Gary, (2004) Analytical Chemistry, 6th Edition, John Wiley and Sons, Inc. NY. 18
John Bassett (Editor) Vogel's Textbook of Quantitative Inorganic Analysis, Including Elementary Instrumental Analysis, 4th edition, Longman Science and Tech
19 Puri, B. R. Sharma, L. R. and Pathania, M. S. (2009), 44th Edition, Principles of Physical Chemistry, Vishal Publ. Co., Jalandhar
-
Syllabus: CHEMISTRY
14 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science
Department of Chemistry
The M S University of Baroda, Vadodara 390002
ACADEMIC YEAR
2020-2021
Bachelor of Science YEAR I
I Generic Elective Practical
CREDIT 1
Semester II
HOURS 20
OBJECTIVES:
COURSE CONTENT / SYLLABUS
I
Organic Spotting
20 hrs. Systematic analysis of organic compounds with more than one functional group. Eight compounds to be analyzed.
REFERENCES 3. Shah R C, (2001) Organic Analysis Part I Qualitative Analysis Baroda Book Depot, Vadodara
-
Syllabus: GEOGRAPHY
15 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geography , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC: : >
CREDIT 3
Semester I HOURS 45 OBJECTIVES: - Understand perception of hydrology and ground water.
- Explain the use of water in agriculture. - Discuss the Watershed management policies. - Highlight aspects of water management.
COURSE CONTENT / SYLLABUS
UNIT-I
Hydrology and Ground Water (1 Credit)
15 hrs.
Origin of water: Meteoric, Juvenile, Magmatic and Sea water. Hydrologic cycle: Precipitation, Runoff, Infiltration and Evapo-transpiration. Ground Water Occurrence: Ground water hydrologic cycle, -Origin of ground water, Rock properties affecting ground water, Vertical distribution of ground water, Zone of aeration and zone of saturation, Geologic formation as aquifers, Types of aquifers, Springs, Porosity, Specific yield and Specific retention, Ground water table fluctuations and its causative factors, Environmental impacts.
UNIT-II
Water Resource Management (1 Credit)
15 hrs. Water use in Agriculture - Climate, Soil and Crop relationships and related water requirements, Irrigation, Methods of Irrigation: Surface, Drip and Sprinkler irrigation, Rain water harvesting and recharge of ground water; Role of society and people’s participation for sustainable water resource development.
UNIT-III
Watershed Management (1 Credit)
15 hrs.
Concept of watershed, Introduction to watershed management, Drainage basin, Development of drainage system and drainage patterns, Water balance in a watershed, Soil erosion and watershed development, Different stack holders and their relative importance, Watershed management policies and decision making, Integrated Watershed Management Programme (IWMP) of India.
REFERENCES
1. Andrew. D. Wward and Stanley, Trimble (2004): Environmental Hydrology, 2nd edition, Lewis Publishers, CRC Press. 2. Karanth, K.R., 1988 : Ground Water: Exploration, Assessment and Development, Tata- McGraw Hill, New Delhi. 3. Ramaswamy, C. (1985): Review of floods in India during the past 75 years: A Perspective. Indian National Science Academy, New Delhi. 4. Rao, K.L., 1982 : India's Water Wealth 2nd edition, Orient Longman, Delhi,. 5. Singh, Vijay P. (1995): Environmental Hydrology. Kluwar Academic Publications, The Netherlands. 6. Singh, M., Singh, R.B. and Hassan, M.I. (Eds.) (2014) Landscape ecology and water management. Proceedings of IGU Rohtak Conference, Volume 2. Advances in Geographical and Environmental Studies, Springer 7. Tideman E.M., Watershed management: Guidelines for Indian Conditions, Omega Scientific Publishers. 8. Singh Rajvir, Watershed Planning & Management, Yash Pulishing House. 9. Debarry, P.A., Watersheds - Processes, Assessment and Management, John Wiley & Sons.
-
Syllabus: GEOGRAPHY
16 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geography , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC: : >
CREDIT 1
Semester I HOURS 30
OBJECTIVES: To learn to represent Hydrological parameters.
COURSE CONTENT / SYLLABUS
UNIT-I
Exercises (1 Credit)
30 hrs. - Calculation and Representation of 3 and 5 year running mean of Rainfall
in Arid, Humid and Mountainous Regions.(UsingLine Graphs) - Calculation and Representation of Rainfall Dispersion. - Mapping of Rainfall Data (Isohytes) (Preparation of Isolines)
REFERENCES
1) Bygott B. (1969) : Map work and Practical Geography, Univ. Tutorial Press, London. 2) Ishtiaq (1979) : A Textbook of Practical Geography, heritage Pub. New Delhi. 3) Raisz Erwin (1962) :Principles of Cartography, McGraw hill Book Co. U.S.A. 4) Singh R.L. (1979) : Elements of Practical Geography, Kalyani Pub. New Delhi. 5) Singh and Kanaujia (1981) : Map Work and Practical Geography, Indian universities Press,
Allahabad.
-
Syllabus: GEOGRAPHY
17 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geography , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC: : >
CREDIT 3
Semester I HOURS 45 OBJECTIVES: At the end of this course students will be able to:
Understand the basics of environment and development.
COURSE CONTENT / SYLLABUS
UNIT-I Meaning of Environment & Development (1 Credit)
15 hrs. - Meaning of Environment; Types of Environment – Physical and Cultural - Meaning and Indicators of Development
UNIT-II
Interrelationship between Environment and Development (1 Credit)
15 hrs. Interrelationship between environment and development Positive and Negative Impact of Development on physical and social environment . Impact of Development on the Economy – With suitable examples from urban and rural areas of India
UNIT-III
Concepts of Impact Assessment (1 Credit) 15 hrs. Concepts of Environmental Impact Assessment, Social Impact Assessment and Health
Impact Assessment.
REFERENCES
1) Basak Anindita (2009): Environmental Studies, Pearson, New Delhi. 2) Leong, Goh Cheng and G.C. Morgan (1979): Human and Economic Geography, Oxford University Press, Oxford. 3) Mobogunja Aken (1977): The state of of the Earth : Contemporary Geographic Perspective, Blackwell Publishers, Oxford. 4) Singh L.R. (2010): Fundamentals of Human Geography, Sharada Publishing House, Allahabad.
-
Syllabus: GEOGRAPHY
18 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geography , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC: : >
CREDIT 1
Semester I HOURS 30 OBJECTIVES: At the end of this course students will be able to:
Understand some practical aspects related to Environment and Development through exercises on transformation of data, calculation of different indices related to Human Development and Impact Assessment
COURSE CONTENT / SYLLABUS
UNIT-I
Practical (1 Credit)
30 hrs.
- Transformation of Data –Using Z Score Method - Calculation and mapping of: Indicators of Regional Development, Human
Development Index, Human Poverty Index, Gender Inequality Index, Indicators of Environmental Impact Assessment, Indicators of Social Impact Assessment, Indicators of Health Impact Assessment. (Preparation of Choropleth Maps –either by graded shades or colour)
- Rank Size Rule using data from India REFERENCES
1) Basak Anindita (2009): Environmental Studies, Pearson, New Delhi. 2) Leong, Goh Cheng and G.C. Morgan (1979): Human and Economic Geography, Oxford University Press, Oxford. 3) Mobogunja Aken (1977): The state of of the Earth : Contemporary Geographic Perspective, Blackwell Publishers, Oxford. 4) Singh L.R. (2010): Fundamentals of Human Geography, Sharada Publishing House, Allahabad.
-
Syllabus: GEOGRAPHY
19 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geography , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC: : >
CREDIT 3
Semester II HOURS 45 OBJECTIVES: Learn about Tourim and Role of Geography
COURSE CONTENT / SYLLABUS
UNIT-I
Concepts and Issues (1 Credit)
15 hrs.
- Definition, Scope and Nature of Geography of Tourism; Concepts of Tourists, tourism, recreation and leisure; Relation between Geography and tourism - Types of Tourism: - A) International, Domestic B) Nature tourism, Heritage Tourism, Ecotourism, cultural tourism, adventure tourism, medical tourism, pilgrimage - Factors influencing tourism: Physiogrphic,Natural, Historical, Socio-cultural and Economic; - Spatial pattern of tourism: International and national with perspective of Spatial affinity; areal and locational dimensions - Recent Trends of Tourism
UNIT-II
Tourism Infrastructure & Impact of Tourism (1 Credit)
15 hrs. - Infrastructure and support system: Accommodation and supplementary accommodation,Transport, Facilitations and Hospitality Industry. other facilities and amenities - Impact of tourism: physical, economic and social-cultural.
UNIT-III
Tourism in India and Gujarat: Trends in Tourism (1 Credit)
15 hrs.
- Promotion of tourism: National tourism policy. Tourism Development in five year plans -Tourism in India: Tourism infrastructure; regional dimensions of tourist attraction; case studies of Western Ghats/ Himalaya/Desert/Coastal areas (Any One) International travel destinations- Natural/ cultural/historical Tourism resources in Gujarat: Natural, Historical-Cultural Heritage, fairs, festival and cuisine. Tourism Promotion and Organisation in Gujarat: Planning and policies in Gujarat Tourism circuits : Concept and Basis
REFERENCES
1) Babu S.S., Mishra S., and Parida B.A. 1998 (eds) : Tourism Development Revisited – Concepts, Issues and Paradigms, Sage 2) Bhardwaj et. Al. (eds): International Tourism: Issues and Challenges, Kanishka, New Delhi, 3) Bhatia, A.K. 1991: International Tourism: Fundamentals and Practices, Sterling, New Delhi. 4) Boniface B.G. and Chris C., 2005 : Worldwide Destinations: The Geography of Traveland Tourism, Elsevier Butterworth-Heinemann, Oxford. 5) Dhar P.N. 2006 : International Tourism: Emerging Challenges and Future Prospects, Kanishka, New Delhi. 6) Hall M. and Stephan P., 2006 : Geography of Tourism and Recreation – Environment, Place and Space, Routledge, London.
-
Syllabus: GEOGRAPHY
20 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geography , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC: : >
CREDIT 1
Semester II HOURS 30 OBJECTIVES: - Understand some practical aspects of Tourism Geography through exercises
representing traffic/tourist movement, transport network analysis and travel time COURSE CONTENT / SYLLABUS
UNIT-I
Exercises (1 Credit)
30 hrs. - Flow diagram (traffic/ tourist) and its interpretation. - Transport network analysis by Detour Index - Tourist flow projection from time-series data - Isochronic map showing tourist resource and travel time
REFERENCES
1) Bygott B. (1969) : Map work and Practical Geography, Univ. Tutorial Press,London. 2) Ishtiaq (1979) : A Textbook of Practical Geography, heritage Pub. New Delhi. 3) Norman Thomas (1962) : Surveying, The English Language Society & Edward Arnold, Edinburgh. 4) Raisz Erwin (1962) :Principles of Cartography, McGraw hill Book Co. U.S.A. 5) Singh R.L. (1979) : Elements of Practical Geography, Kalyani Pub. New Delhi. 6) Singh and Kanaujia (1981) : Map Work and Practical Geography, Indian universities Press, Allahabad.
-
Syllabus: GEOGRAPHY
21 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geography , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC: : >
CREDIT 3
Semester I HOURS 45 OBJECTIVES: At the end of this course students will be able to:
Learn the role of demography and population studies as distinct fields of human geography Have sound knowledge of key concept, different components of population along with its drivers Examine population dynamics and characteristic with contemporary issues.
COURSE CONTENT / SYLLABUS
UNIT-I
Basics of Population Geography (1 Credit)
15 hrs. - Defining the Field – Nature and Scope; Sources of Data with special reference to India (Census, Vital Statistics and NSS). -Population Size, Distribution and Growth – Determinants and Global Patterns; Theories of Growth – Malthusian Theory and Demographic Transition Theory.
UNIT-II
India’s Population Structure and Composition (1 Credit)
15 hrs. -Population Composition, Characteristics and Spatial pattern – growth, density, sex ratio, Age-Sex Composition; Rural and Urban, Literacy -Contemporary Issues – Ageing of Population; Declining Sex Ratio; HIV/AIDS. India’s population policies
UNIT-III
Population Dynamics (1 Credit)
15 hrs.
-Population Dynamics: Fertility, Mortality and Migration – Measures, Determinants, Implications and Global patterns of fertility (Infant Mortality, Child Mortality, Crude Birth)and mortality(Crude Death Rates), -Life Expectancy, age and sex composition. -Migration:Types, determinants, causes and consequences of migration. -Concepts of under population and over population, population- resource regions.
REFERENCES 1.
1) Barrett H. R., 1995: Population Geography, Oliver and Boyd. 2) Bhende A. and Kanitkar T., 2000: Principles of Population Studies, Himalaya Publishing House. 3) Chandna R. C. and Sidhu M. S., 2006 : An Introduction to Population Geography, Kalyani Publishers.
4) Clarke J. I., 1965: Population Geography, Pergamon Press, Oxford. 5) Jones, H. R., 2000: Population Geography, 3rd ed. Paul Chapman, London.
6) Lutz W., Warren C. S. and Scherbov S., 2004: The End of the World Population Growth in the 21st Century, Earthscan 7) Newbold K. B., 2009: Population Geography: Tools and Issues, Rowman and Littlefield Publishers. 8) Sundram K.V. &Nangia Sudesh, (editors): Population Geography, Heritage Publishers, Delhi, 1986. 9) Peters: G.L. and Larkim R.P: Population Geography: Problems, Concepts and Prospects Kendele-Hunt Iowa, 1979.
10) Srinivasan K. and M. Vlassoff Population Development nexus in India: challenges for the new millennium. Tata McGraw Hill Publishing Co. Ltd., New Delhi 2001. 11) Trewartha, G.T. : A Geography of Population : World Patterns, John Wiley & Sons, Inc., New York, 1969. 12) Pacione M., 1986: Population Geography: Progress and Prospect, Taylor and Francis.
13) Mitra, A. (1978): India's Population: Aspects of Quality and Control. Vol. I & II, Abhinav Publications, New Delhi. 14) Premi M.K. (1991): India's Population: Heading Towards a Billion, B.R. Publishing, New Delhi. 15) Mamoria C.B. (1981): India's Population Problems, KitabMahal, New Delhi. 16) Wilson M. G. A., 1968: Population Geography, Nelson
-
Syllabus: GEOGRAPHY
22 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geography , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC: : >
CREDIT 1
Semester I HOURS 30 OBJECTIVES: At the end of this course students will be able to:
Understand some practical aspects related to Population Dynamics through exercises on population densities, fertility and mortality, migration and other population parameters.
COURSE CONTENT / SYLLABUS
UNIT-I
Exercises (1 Credit)
30 hrs. - Calculation and mapping of types of densities, measurements of fertility and mortality,
growth rates (Arithmetic & Geometric), migration (Net & Gross), life expectancy [Using data from world and India]
- Calculation and representation of : population projection, dependency ratio, Age–Gender, rural-urban, literacy rates [Using data from India & States]
REFERENCES
1) Bygott B. (1969) : Map work and Practical Geography, Univ. Tutorial Press,London. 2) Ishtiaq (1979) : A Textbook of Practical Geography, heritage Pub. New Delhi. 3) Norman Thomas (1962) : Surveying, The English Language Society & Edward Arnold, Edinburgh. 4) Raisz Erwin (1962) :Principles of Cartography, McGraw hill Book Co. U.S.A. 5) Singh R.L. (1979) : Elements of Practical Geography, Kalyani Pub. New Delhi. 6) Singh and Kanaujia (1981) : Map Work and Practical Geography, Indian universities Press, Allahabad.
-
Syllabus: GEOLOGY
23 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geology , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC ELECTIVES: : >
CREDIT 3
Semester I HOURS 45
OBJECTIVES: The course has an aim to introduce the students basics of mineralogy and petrology to build their foundation in understanding the earth’s lithosphere.
COURSE CONTENT / SYLLABUS
UNIT-I
Minerals, Basic Properties of Minerals, Internal Structure, Classification of Minerals, Introduction to Gemology, Mineral in our lives, Economic Significance of Minerals.
-
15 hrs.
UNIT-II
Definition, Importance of studying rocks, rock cycle, Origin and primary characteristics of igneous, sedimentary and metamorphic rocks.
-
15 hrs.
UNIT-III Classifications of igneous, sedimentary and metamorphic rocks. Major Indian occurrences of igneous, sedimentary and metamorphic rocks. 15 hrs.
REFERENCES
1. Tyrell, G. W. Principles of Petrology, B. I. Publications, 1980, 349p. 2. Allen Spry, Metamorphic textures. Pergamon Press Ltd. 3. Bhaskar Rao B. Metamorphic Petrology. Oxford and IBH Pub., New Delhi, London. 4. Cornelius Klein and Cornelius S. Hurlbut Jr. Manual of Mineralogy (after James D. Dana) 20 th edition.
-
Syllabus: GEOLOGY
24 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geology , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC ELECTIVES: : >
CREDIT 1
Semester I HOURS 30 OBJECTIVES: The course aims to provide understanding of the optical properties of rock forming minerals and basic
microscopic characteristics of various types of rocks.
COURSE CONTENT / SYLLABUS
Study of various rock forming minerals and important igneous, sedimentary and metamorphic rocks. 30 hrs.
-
Syllabus: GEOLOGY
25 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geology , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC ELECTIVES: : >
CREDIT 3
Semester I HOURS 45 OBJECTIVES: The course has an objective to introduce to the student various earth surface processes which are
responsible for the development of the landscapes.
COURSE CONTENT / SYLLABUS
UNIT-I
Concepts of geomorphology, Geomorphic processes- Endogenous, Exogenous and extra-terrestrial processes, Processes on slopes – landslides and rapid flows,
15 hrs.
UNIT-II Drainage patterns, Erosional and depositional landforms formed by river, wind, glaciers and seas and oceans, 15 hrs.
UNIT-III Geomorphology of coastlines, Causes and types of Karst landforms, Volcanoes and earthquakes as agents of landform changes 15 hrs.
REFERENCES
1. Bloom A. L. Geomorphology: A Systematic analysis of late Cenozoic landforms. (3rd Ed.) 2. Thornbury, W. D. Principles of Geomorphology. CBS Pub. Delhi. 3. Bloom, A. L. (1978) Geomorphology. Prentice Hall, New York. 4. Leet, L. D. and Judson, S. (1969) Physical Geology.
-
Syllabus: GEOLOGY
26 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geology , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC ELECTIVES: : >
CREDIT 1
Semester I HOURS 30 OBJECTIVES: The course aims to provide understanding about various landforms using topographic maps and
satellite images.
COURSE CONTENT / SYLLABUS
Study of various landforms on Survey of India topographic sheets and satellite images.
30 hrs.
-
Syllabus: GEOLOGY
27 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geology , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC ELECTIVES: :
CREDIT 3
Semester II HOURS 45 OBJECTIVES: The course deals with one of the important aspects of understanding the early life and its occurrences
in fossil forms, their systematic study and importance in understanding the earth history.
COURSE CONTENT / SYLLABUS
UNIT-I
Occurrence and Preservation of Fossils, Uses of fossils. Classification of organisms. Study of important invertebrate groups - Trilobita, Graptolitoidea, Brachiopoda, Pelecypods, Gastropoda, Cephalopoda, Echinoidea and, Cnidaria.
15 hrs.
UNIT-II
Study of vertebrate groups such as fish, amphibians, reptiles, birds, and mammals. Extinction of dinosaurs. Morphology and geological history of foraminifera, ostracoda, radiolarian spores and pollens. Brief morphology and geological distribution of vascular and non-vascular plants.
15 hrs.
UNIT-III
Origin of life; Mechanism, Theory, Patterns, Rate, Trend and Variability in evolution, Paleontological evidences of evolution. Causes of Extinction. Kind of distribution, Factors affecting distribution and Dispersal, Zoo-Geographic and Bathymetric distributions.
15 hrs.
REFERENCES
1. Black, R. M. (1999) Elements of Palaeontology, Cambridge University Press. 2. Carrol R. L. (1988) Vertebrate paleontology and evolution. Cambrdge UniversityPress. 3. Clarkson E. N. K (1986) Invertebrate paleontology and evolution. Allen & Unwin, London 4. Jain P. C. and M.S. Anantharaman (2017) An Introduction to Palaeontology. Evolution and Animal
Distribution. Vishal Publishing Company, Jalandhar-Delhi 5. Wood, H. (1961) Invertebrate Palaeontology. International Book Bureau Hyderabad.
-
Syllabus: GEOLOGY
28 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geology , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC ELECTIVES: : >
CREDIT 1
Semester II HOURS 30 OBJECTIVES: Students will be exposed to various specimens of invertebrate fossils.
COURSE CONTENT / SYLLABUS
Study of modes of fossilization and important group of invertebrate fossils.
30 hrs.
-
Syllabus: GEOLOGY
29 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geology , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC ELECTIVES: :
CREDIT 3
Semester II HOURS 45 OBJECTIVES: Details regarding the mineral resources, their Indian occurrences and utility are the contents of this
course.
COURSE CONTENT / SYLLABUS
UNIT-I Metallic Minerals, mode of occurrence, genesis, distribution and uses of Iron, Manganese, Aluminium, Copper, Lead, Zinc, Tin, Gold and Chromite in India. 15 hrs.
UNIT-II
Mode of occurrence, genesis, distribution and uses of Coal, Petroleum and Nuclear Minerals in India. Occurrence, distribution and uses of beach and placer deposits and limestones and dolomites.
15 hrs.
UNIT-III Mode of occurrence, genesis and uses of Mica, Gypsum, Asbestos, Graphite, Magnesite, Gemstone, Raw materials for ceramic, cement, refractory, abrasive and fertilizer industry. 15 hrs.
REFERENCES
1. Krishnaswamy, S. : Mineral Resources of India.
2. Gokhle, K. V. G. K. and Rao: Ore Deposits of India.
-
Syllabus: GEOLOGY
30 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Geology , ,
ACADEMIC YEAR
2020-2021
> : >
YEAR II GENERIC ELECTIVES: : >
CREDIT 1
Semester II HOURS 30 OBJECTIVES: Students will be exposed to various specimens of minerals of economic importance.
COURSE CONTENT / SYLLABUS
Study of important Economic/Ore minerals in hand specimen for their physical properties.
30 hrs.
-
Syllabus: MATHEMATICS
31 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Mathematics,
Sayajigunj , Vadodara 390002, 0265-2795329, Ext:336, [email protected]
To be effective from ACADEMIC
YEAR 2020-2021
B.Sc. : Regular Programme
Year II Generic Elective Operations Research : Inventory Control and Game Theory
Credit / Hrs per week 4/ 4
Semester III Year of Introduction: June 2020 Theory Year of Syllabus Revision: - Max marks /
Grade 100
Objectives To study the importance of Mathematics in real life problems namely Inventory control and Game Theory using Operation Research techniques.
Employability/ Entrepreneurship / Skill Development Aspects
Skill development Aspects To cultivate and enhance skills of: critical reading, mathematical reasoning, problem solving, writing proofs, forming a mathematical model, using contemporary software related to mathematics, presentation(on black board as well as on screen). Employability In universities, research institutes, Science and Engineering colleges, and schools as faculty members; in research institutes as research fellows, in institutes which do data analysis as analysts; Posts filled by UPSC, GPSC, Staff Selection Commission etc.
Course Outcome Students will learn why inventory should be controlled and how to minimize total cost of inventory, Also they will understand basic concepts of Game Theory like competitive game, maximin and minmax principle and various methods for solving games.
Mode of Transaction Lecture and Tutorial COURSE CONTENT / SYLLABUS
Weightage (%)
Unit-1 General discussions of Operations Research (OR), origin and development of OR, modeling in OR, general solution methods for OR models, methodology of OR and applications of OR. Inventory: Associated costs and inventory control, Deterministic inventory situations without and with shortages, Buffer stocks and reorder level.
15 hrs
Unit-2 Multi-item deterministic problems: Limitation on inventory, limitation on floor space and limitation on investment, Probabilistic inventory Problems: Single period problems without setup cost and with uniform and Instantaneous demand.
15 hrs
Unit-3 Game Theory:Competitive Games, two person zero sum games, maximin and minimax criterion (based on pure strategies), Saddle points and the value of the game. Games without Saddle point : Mixed strategy solution of 22 games, Fundamental theorem of rectangular games, Expectation function of nm rectangular games and the minimax - maximin theorem for it.
15hrs
Unit-4 Graphical Solution of and games. Dominance properties in games, Algebraic method of solving a game, Symmetric games.
15 hrs
REFERENCES 1. D. T. Phillips, A. Ravindra, J. Solberg, Operation Research Principles and Practice, John Wiley and sons, 2000. 2. J. K. Sharma Operations Research : Theory and Applications, MacMillan India Ltd. 2012 3. P. K. Gupta and D, S. Hira Operations Research, S. Chand, 2018 4 Kanti Swaroop, Man Mohan, P.K. Gupta, Operations Research, Sultan Chand and Sons, 2005.
-
Syllabus: MATHEMATICS
32 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Mathematics, Sayajigunj , Vadodara 390002, 0265-2795329, Ext:336, [email protected]
ACADEMIC
YEAR 2020-2021
B.Sc. : Regular Programme Year II Generic Elective
Vector Calculus and Analytic Geometry Credit /Hrs per week 4/4
Semester III Year of Introduction: June 2020 Theory Year of Syllabus Revision: Max marks / Grade 100 Objectives Objective of this course is to provide a detailed study of the basics of vector calculus
and to train one to draw different Cartesian, parametric as well as polar curves. Employability/ Entrepreneurship / Skill Development Aspects
Skill development Aspects To cultivate and enhance skills of critical reading, mathematical reasoning, problem solving, writing proofs, forming a mathematical model, using contemporary softwares related to mathematics, presentation( on black board as well as on screen). Employability In universities, research institutes, science and engineering colleges, and schools as faculty members, in research institutes as research fellows, in institutes do data analysis as analysts, Posts filled by UPSC, GPSC, Staff Selection Commission etc.
Course Outcome One learns different operations of vectors and differentiation and integration of vectors . Also one learns to classify a general second degree equation into parabola, ellipse, hyperbola and pair of lines and sketch its graph. One also learns how to trace some given well known curves in parametric and polar forms.
Mode of Transaction Lecture and Tutorial COURSE CONTENT / SYLLABUS
Weightage (%) Unit-1 Algebra of vectors, dot product and cross product of two vectors, Schwarz inequality,
Orthogonal vectors, Vector projection, Application of vector products, triple product of vectors .
15 hrs
Unit-2 Vector equation of straight line in plain and space, Direction cosines, Vector equation of plain, Differentiation and integration , Derivative ofsum, Partial differentiation of a vector function, Gradient, divergence and curl and its properties.
15 hrs
Unit-3 Classification of general second degree equation to parabola ,ellipse, hyperbola and pair of lines. Tracing of parabola, ellipse and hyperbola. Reflection properties of parabola, ellipse and hyperbola. Sketching of other curves by observing symmetry, asymptotes, sign of the function, intercepts etc.
15 hrs
Unit-4 Graphing of parametric equations, parametric equations of conics, cycloid, Grahping of standard quadric surfaces like cone, paraboloid, ellipsoid and hyperboloid. 15 hrs
REFERENCES 1. G.B. Thomas and R.L. Finney, Calculus, 9th Ed., Pearson Education, Delhi, 2005. 2 P.C. Matthew’s, Vector Calculus, Springer Verlag London Limited, 1998. 3 James Stewart, Calculus, Brooks/Cole Publishing Company, 1999. 4. S.L. Loney, The Elements of Coordinate Geometry, McMillan and Company, London. 5 R.J.T. Bill, Elementary Treatise on Coordinate Geometry of Three Dimensions, McMillanIndia Ltd., 1994.
6. Hema Vasavada, Analytic Geometry of Two and Three Dimensions, Hema Vasavada, Near New Tank, Nana Bazaar, V.V.Nagar. 7. V.Krishnamurthy, V.P.Mainra, and J.L.Arora, An Introduction to Linear Algebra, East West Press, 1975.
-
Syllabus: MATHEMATICS
33 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Mathematics,
Sayajigunj, Vadodara 390002, 0265-2795329, Ext:336, [email protected]
ACADEMIC YEAR
2020-2021
B.Sc. : Regular Programme
Year II Generic Elective Group Theory and Linear Algebra
Credit / Hrs per week 4/4
Semester III Year of Introduction: June 2020 Theory Year of Syllabus Revision: Max marks /
Grade 100
Objectives The first objective of this course is to introduce the group theory. Second objective of this course is to make students familiar with some central ideas of linear algebra like vector spaces, linearly dependent and independent vectors, basis and dimension of vector spaces, linear transformations; so that they can understand its applications in other subjects
Employability/ Entrepreneurship / Skill Development Aspects
Skill development Aspects To cultivate and enhance skills of: critical reading, mathematical reasoning, problem solving, writing proofs, forming a mathematical model, using contemporary softwares related to mathematics, presentation(on black board as well as on screen). Employability In universities, research institutes, Science and Engineering colleges, and schools as faculty members; in research institutes as research fellows, in institutes which do data analysis as analysts; Posts filled by UPSC, GPSC, Staff Selection Commission etc.
Course Outcome One should be able to know the definition of group and give examples of different types of groups.One understands the basics of vector spaces and how to find the dimension of vector spaces. The definition of inner product spaces and orthogonalization of vectors. Further one learns linear transformations and matrix of linear transformations.
Mode of Transaction Lecture and Tutorial COURSE CONTENT / SYLLABUS
Weightage (%)
Unit-1 Binary relation, equivalence relation and equivalence class, congruence modulo n. Definition of a binary operation, properties of binary operation, definition of a group and examples of group, elementary properties of a group, subgroups, cyclic groups, order of an element, cosets, Lagrange’s theorem (without proof).
15hrs
Unit-2 Definition of vector spaces (Real/Complex) and elementary consequences of its axioms. Definition of a subspace, necessary and sufficient condition for a non-empty set to be a subspace, definition of span of a set and properties of span of a set, intersection and direct sum of subspaces, definition of linear dependence and independence and results related to it.
15hrs
Unit-3 Definition of basis and dimension and results related to it. Inner product in Cn, length of a vector and angle between two vectors, Schwarz inequality. Orthogonality and Gram-Schmidt orthogonalization process.
15hrs
Unit-4 Orthonormal basis. Definition of linear transformation and its properties, range and kernel of a linear map, Rank-Nullity Theorem (without proof), matrix associated with a linear map and linear map associated with a matrix.
15hrs
REFERENCES 1. I. N. Herstein, Topics in Algebra, Vikas Publishing house Pvt. Ltd.,2004. 2. Kenneth Hoffman and Ray Kunze, Linear Algebra, Prentice-Hall of India, 2\e, 2009. 3. V. Krishnamurthy, V. P. Mainra& J. L. Arora, An Introduction to Linear Algebra, East-West Press, 2001. 4 I. H. Sheth, Abstract Algebra, Prentice Hall of India, 2009.
-
Syllabus: MATHEMATICS
34 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Mathematics,
Sayajigunj, Vadodara 390002, 0265-2795329, Ext:336, [email protected]
To be effective from
ACADEMIC YEAR
2020-2021
B.Sc. : Regular Programme
Year II Generic Elective Advanced Calculus
Credit / Hrs per week 4/ 4
Semester III Year of Introduction: June 2020 Theory Year of Syllabus Revision: Max marks /
Grade 100
Objectives The main objective of the course is to make students aware of the definition of a function of several variables, their domains, range, limits, continuity, and differentiability. Mean value theorem, Euler’s theorem, and Taylor’s theorem for a function of two variables are to be studied. Finally, some applications like approximation, extrema, tangent plane, normal line, tangent line, and directional derivatives are also explored.
Employability/ Entrepreneurship / Skill Development Aspects
Skill development Aspects To cultivate and enhance skills of: critical reading, mathematical reasoning, problem solving, writing proofs, forming a mathematical model, using contemporary softwares related to mathematics, presentation(on black board as well as on screen). Employability In universities, research institutes, Science and Engineering colleges, and schools as faculty members; in research institutes as research fellows, in institutes which do data analysis as analysts; Posts filled by UPSC, GPSC, Staff Selection Commission etc.
Course Outcome After successful completion of this course student will be able to find the domain and range of functions of two and three variables, differentiability of functions and how to find the maxima and minima of functions of two variables. One also studies the basics of vector calculus which is useful in many physical applications.
Mode of Transaction Lecture and Tutorial COURSE CONTENT / SYLLABUS
Weightage (%)
Unit-1 Domain and range of multivariate functions, Limit, Continuity and Partial derivatives of multivariate functions and its higher derivatives, Equality of mixed partial derivatives of order two (without proof).
15 hrs
Unit-2 Differentiability, Total differentials and Approximation, Chain rule (without proof), Gradient of scalar fields, Curl and Divergence of vector fields, Directional derivatives, Equation of tangent plane and normal line of surfaces, Tangent line of a space curve.
15 hrs
Unit-3 Euler’s theorem on homogeneous functions, Implicit differentiation, Jacobian matrix and its properties, Taylor’s theorem, Envelopes of plane curves and of family of surfaces. 15hrs
Unit-4 Maxima-Minima of multivariate functions, Second derivative test for local extrema, Methodof Lagrange multiplier, Power series, Binomial series and Fourier series. 15 hrs
REFERENCES 1. Tom Apostol, Calculus (Volume II), Wiley Eastern Ltd, 1980. 2. Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley and Sons Inc, 1983. 3. Louis Leithold, The Calculus with Analytic Geometry, Harper-Collins Publishers, 1981. 4 Shanti Narayan, Differential Calculus, S. Chand & Co. Ltd, 1996. 5 G. B. Thomas Jr. and R. L. Finney, Calculus and Analytic Geometry, Addison-Wesley Publishers, 1999. 6 David V. Widder, Advanced Calculus, Prentice-Hall of India, 1989.
-
Syllabus: MATHEMATICS
35 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Mathematics, Sayajigunj , Vadodara
390002, 0265-2795329, Ext:336, [email protected]
ACADEMIC YEAR
2020-2021
B.Sc. : Regular Programme Year II Generic Elective
Mechanics Credit /Hrs per week 4/4
Semester IV Year of Introduction: December 2020 Theory Year of Syllabus Revision: Max marks / Grade 100 Objectives Objective of this course is to provide an introduction to Neton’s equation of motion,
motion of a particle and system of particles. It also descries simple harmonic motion, , motion under cetral force, and moments of inertia of bodies.
Employability/ Entrepreneurship / Skill Development Aspects
Skill development Aspects To cultivate and enhance skills of critical reading, mathematical reasoning, problem solving, writing proofs, forming a mathematical model, using contemporary softwares related to mathematics, presentation( on black board as well as on screen). Employability In universities, research institutes, science and engineering colleges, and schools as faculty members, in research institutes as research fellows, in institutes do data analysis as analysts, Posts filled by UPSC, GPSC, Staff Selection Commission etc.
Course Outcome One learns the conditions of equilibrium of a system of particles under the action of forces, which is highly useful in many physical and engineering problems. One also learns how to calculate the centre of gravity of different geometric shapes and Newton’s law of gravitation. After completion of the course a one will be able to apply equations of motion to bodies in frames of reference which are moving with constant speed, constant acceleration and rotating frames . One can also understand the motions of planets around sun and rotational motion about an axis. This course can be used as prerequisite for the study of analytic mechanics.
Mode of Transaction Lecture and Tutorial COURSE CONTENT / SYLLABUS
Weightage (%) Unit-1 Ingredients of Mechanics, Velocity and acceleration, Fundamental laws of Newtonian
mechanics, Equilibrium of a particle and a system of particles, Work and potential energy . 15 hrs
Unit-2 Mass centre and centre of gravity, Friction , Tangential and normal , radial and transverse components of velocity and acceleration, The hodograph, motion of a rigid body parallel to a fixed plane.
15 hrs
Unit-3 Motion of a particle and system of particles, Frames of reference moving with constant velocity, constant acceleration and rotating frames with constant angular velocity, Projectiles without and with resistance, Harmonic oscillators .
15 hrs
Unit-4 General motion under central force, planetary orbits, Two-body problem, Moment of inertia, kinetic energy and angular momentum, rigid bogy rotating about a fixed point. General motion of a rigid body parallel to a fixed plane.
15 hrs
REFERENCES 1. John L. Synge and Byron A. Griffith, Principles of Mechanics, Mc Graw Hill Book Company, 1970. 2 Loney, S. L., The elements of Statics and Dynamics Part-I and Part-II, Arihant Prakashan, 2017.
-
Syllabus: MATHEMATICS
36 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Mathematics,
Sayajigunj , Vadodara 390002, 0265-2795329, Ext:336, [email protected]
To be effective from
ACADEMIC YEAR
2020-2021
B.Sc. : Regular Programme
Year I Generic Elective Number Theory and Coding Theory
Credit / Hrs per week 4/ 4
Semester I Year of Introduction: December 2020 Theory Year of Syllabus Revision: Max marks /
Grade 100
Objectives The main objective of the course is to make students aware of the number theoretic functions and their properties. Fibonacci numbers, Fermat numbers, Perfect numbers, quadratic residues and quadratic non-residues, primitive roots, indices to be studied. Finally some basics of coding theory are explored.
Employability/ Entrepreneurship / Skill Development Aspects
Skill development Aspects To cultivate and enhance skills of: critical reading, mathematical reasoning, problem solving, writing proofs, presentation(on black board as well as on screen). Employability In universities, research institutes, Science and Engineering colleges, and schools as faculty members; in research institutes as research fellows, in institutes which do data analysis as analysts; Posts filled by UPSC, GPSC, Staff Selection Commission etc.
Course Outcome After successful completion of this course student will be able to find quadratic residues, primitive roots and solution of certain congruences. One also studies linear codes, Hamming codes and cyclic codes.
Mode of Transaction Lecture and Tutorial
COURSE CONTENT / SYLLABUS
Weightage (%)
Unit-1 Greatest integer function, the functions and . The multiplicative functions. Special numbers: Fibonacci numbers, Fermat numbers, Perfect numbers
15 hrs
Unit-2 Quadratic residues and quadratic non-residues of an integer in general and of a prime number in particular, Gauss lemma and its applications, The quadratic reciprocity law.
15 hrs
Unit-3 Primitive roots, characterization of natural numbers having primitive roots, Theory of indices, solution of certain congruences through indices.
15hrs
Unit-4 Introduction to error correcting codes, linear codes, generator and parity check matrices, minimum distance, Hamming Codes, decoding and cyclic codes.
15 hrs
REFERENCES 1. David Burton, Elementary number theory, Tata Mc Graw Hill Publishers, 2006. 2. J. A. Gallian, Contemprory abstarct algebra, Narosa Publishing House, 1998. 3. W. J. Gilbert, Modern algebra with applications, John Wiley & Sons, 2005. 4 R. Hill, A first course in coding theory, Clarendon Press, 1998 5 S. R. Nagpaul and S. K. Jain, Topics in applied abstract algebra, American Math. Soc., 2010. 6 S. D. Telang, Number Theory, Tata Mc Graw Hill Publishers, 2004.
-
Syllabus: MATHEMATICS
37 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Mathematics, Sayajigunj , Vadodara 390002, 0265-2795329, Ext:336, [email protected]
ACADEMIC YEAR
2020-2021
B.Sc. : Regular Programme Year II Generic Elective
Linear Programming and Numerical Analysis Credit / Hrs per week
4/ 4
Semester IV Year of Introduction: December 2020 Theory Year of Syllabus Revision: Max marks /
Grade 100
Objectives The course is intended to provide basic understanding of Operation Research Techniques of strategic decision planning for optimum utilization of constraint resources in various span of human life viz. industry, business, commerce, administration, management, service supply, maintenance, agriculture, medicines and healthcare, defense etc. Also this course will cover the classical fundamental topics in numerical methods such as, solution of nonlinear algebraic systems, solution of differential equation and solution of simultaneous linear equations
Employability/ Entrepreneurship / Skill Development Aspects
Skill development Aspects To cultivate and enhance skills of critical reading, mathematical reasoning, problem solving, writing proofs, forming a mathematical model, using contemporary softwares related to mathematics, presentation( on black board as well as on screen). Employability In universities, research institutes, science and engineering colleges, and schools as faculty members, in research institutes as research fellows, in institutes do data analysis as analysts, Posts filled by UPSC, GPSC, Staff Selection Commission etc.
Course Outcome A student would be able to solve LPP by simplex method and artificial variables technique. Also one is able to solve transportation and assignment problems, to solve algebraic as well as transcendental equations numerically and do numerical differentiation and integration using numerical techniques, to solve system of equations using numerical methods.
Mode of Transaction Lecture and Tutorial
COURSE CONTENT / SYLLABUS Weightage (%)
Unit-1 Introduction to Linear programming problem, linear inequalities, convex sets,, LPP of two variables. Solution by graphical method. LPP involving the
slack variables, surplus variables.
15 hrs
Unit-2 Standard form of the LPP, solution to an LPP and its properties, Solution of an LPP by
Simplex method technique using artificial basis.
Transportation problems, Assignment problems.
15 hrs
Unit-3 Interpolation: Finite differences, the operators and Newton-Gregory’s forward interpolation and backward interpolation formulas, Interpolation with unequal intervals using Lagrange's method, error analysis of Lagrange's interpolation, Central difference interpolation: Gauss's formula and Stirling's formula. Equations in one variable : Solution of algebraic and transcendental equations by
15 hrs
-
Syllabus: MATHEMATICS
38 | P a g e
Bolzano (or bisection) method, Regula-falsi method, Newton-Raphson's method.
Unit-4 System of linear equations : Solution linear equations by Gauss elimination method, Gauss-Seidel iterative method. Numerical differentiation: Derivative of Newton-Gregory forward interpolation, backward interpolation formulas and that of Stirling's formula. Their applications. Numerical Integration: General quadrature formula, derivation of
Trapezoidal rule, Simpson's one-third rule, Simpson's three-eighth rule,
error analysis of these quadrature formulas. Initial Value Problem: Fourth order Runge-Kutta method for solving an initial value problem (IVP): d /d =f( ); ( )= .
15 hrs
REFERENCES 1. Kanti Swaroop, Man Mohan and P.K. Gupta, Operations Research, Sultan Chand and Sons, 2005. 2. S. I. Gass, Linear Programming, Mc Graw Hill Book Co., 1985.
3. K. V. Mittal and C. Mohan, Optimization methods in Operations Research and System Analysis, New Age International Publications, 2004. 4 Hamdy A. Taha, Operations Research: An Introduction, McMillan Publishing Company, 2007 5 F. B. Hildebrand, Introduction to Numerical Analysis, Tata Mc Graw Hill Publishers, 1987. 6 P. C. Biswal, Numerical Analysis, Prentice-Hall of India, 2008. 7 G. Shankar Rao, Numerical Analysis, New Age International Pvt. Ltd, 2006. 8 S. S. Sastry, Introductory methods of Numerical Analysis, Prentice-Hall of India, 2006. 9 Ralp G. Stanton, Numerical methods for science and Engineering, Prentice-Hall of India, 1967.
-
Syllabus: MATHEMATICS
39 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science, Department of Mathematics,
Sayajigunj , Vadodara 390002, 0265-2795329, Ext:336, [email protected]
ACADEMIC YEAR
2020-2021
B.Sc. : Regular Programme
Year II Generic Elective Integral Calculus and Differential Equations
Credit / Hrs per week
4/ 4
Semester IV Year of Introduction: December 2020 Theory Year of Syllabus Revision: - Max marks /
Grade 100
Objectives The main objective of the course is to make students aware of the definitions of
double, line, surface, and triple integrals and their evaluation by using iterated integrals and to understand the three famous theorems due to Green, Stoke and Gauss with gives relations between two of these integrals. Also make students aware with analytical techniques to compute solution to various differential equations (DE) and to use analytic and qualitative techniques to understand the behaviour of solution of various DE.
Employability/ Entrepreneurship / Skill Development Aspects
Skill development Aspects To cultivate and enhance skills of critical reading, mathematical reasoning, problem solving, writing proofs, forming a mathematical model, using contemporary softwares related to mathematics, presentation( on black board as well as on screen). Employability In universities, research institutes, science and engineering colleges, and schools as faculty members, in research institutes as research fellows, in institutes do data analysis as analysts, Posts filled by UPSC, GPSC, Staff Selection Commission etc.
Course Outcome Would be able to evaluate double integrals and triple integrals and apply it to find areas and volumes of surfaces.
Able to apply Green’s theorem, Stoke’s theorem and Gauss theorem in practical problems.
Able to solve first order but higher degree ODE and system of first order ODE’s and Pfaffian differential equations.
Mode of Transaction Lecture and Tutorial
COURSE CONTENT / SYLLABUS Weightage (%)
Unit-1 Multiple Integrals : Double Integrals :Definition, properties and evaluation as Iterated integrals, Change of
order, change of variables, application to area and volume. Triple Integrals : Definition and evaluation. Application to volume.
15 hrs
Unit-2 Line integrals : Definition, properties and evaluation, The Green’s theorem in plane(proof for special regions), Path independence.
Surface integrals: Definition and evaluation, Application to surface area, mass and flux. The Stoke’s theorem (without proof) and its applications The Gauss’ theorem (without proof) and its applications.
15 hrs
Unit-3 Differential equations of first order and degree>1: Equations solvable for p , x and y , Lagrange’s equations, Clairaut’s equations, Singular locus and singular solutions
System of linear differential equations with constant coefficients.
15 hrs
-
Syllabus: MATHEMATICS
40 | P a g e
Unit-4 Application of System of linear differential equations with constant coefficients to Mixture problems.
Simultaneous differential equations of form Rdz
Qdy
Pdx
: Geometrical interpretation and
methods of solving. Pfaffian differential equations in three variables : Necessary and sufficient conditions for
Integrability and methods of solving.
15 hrs
REFERENCES 1. Zafar Ahsan, Differential Equations and their applications, Prentice-Hall of India, 2004. 2. T. Amarnath, An elementary course in partial differential equations, Narosa Publ. Co, 2000. 3. Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley and Sons Inc, 1983. 4 Louis Leithold, The Calculus with Analytic Geometry, Harper-Collins Publishers, 1981. 5 G. B. Thomas Jr. and R. L. Finney, Calculus and Analytic Geometry, Addison-Wesley Publishers, 1999.
-
Syllabus: PHYSICS
41 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science , Department of Physics
ACADEMIC YEAR
2020-2021
B.Sc. Physics Programme
Year II Core/Elective/Foundation PHY___________ : OPTICS AND LASERS
Credit / Hrs per week 3
Semester III Year of Introduction: 2020-2021 Theory/Lab Year of Syllabus Revision: Max marks 100 Objectives 1. Learn basic concepts of OPTICS AND LASERS Physics for applications
in the field. 2. Build fundamental base required for the programme
Employability/ Entrepreneurship / Skill Development Aspects
Skill development
Course Outcome Ability to grasp and understand the basics to develop further COURSE CONTENT / SYLLABUS
Weightage (%) Unit-1 Interference:Concept of Interference, Techniques of obtaining interference, Young’s Double Slit
experiment-wavefront division, Condition for interference, Fresnel’s Biprism. Interference in Thin Films: Plane parallel film, Interference due to transmitted light, Haidinger Fringes, Wadge shaped film, Newton’s Rings. Diffraction: Concept of diffraction, Fresnel diffraction, Huygens-Fresnel theory, Difference between interference and diffraction. Polarization: Unpolarized and Polarized light,Types of Polarization, Production of plane polarized light, Polarizer and analyzer, Anisotropic crystal, Nichol prism, Double refraction in calcite crystal. Illustrative Problems
33.33
Unit-2 Resolving Power: Resolving Power, Rayleigh’s Criterion, Limit resolution of eye,Limit resolution of a convex lens, Resolving power of optical instrument, Criterion for resolution according to Lord Rayleigh, Resolving power of telescope, Resolving power of microscope, Resolving power of grating, Resolving power of a prism, Magnification versus resolving power. Eye piece: Huygens eyepiece, Gauss eyepiece. Illustrative Problems
33.33
Unit-3 LASERS: Attenuation of light in an optical medium, Thermal equilibrium, Interaction of light with matter, Absorption, Spontaneous emission, Einstein’s prediction, Stimulated emission, Einstein relations, Light amplification, condition for stimulated emission to dominate spontaneous emission and absorption, population inversion, active medium, pumping methods, meta-stable states, principle of pumping schemes-three and four level scheme, optical resonant cavity, lasing action, Ruby laser,He-Ne Laser, P-N Junction Laser, Laser beam characteristics and applications. Illustrative Problems
33.33
REFERENCES 1. A Textbook Optics, Dr. N. Subrahmanyam, Brijlal, Dr. M. N. Avadhanulu, 2015, S. Chand & Comp. Pvt. Ltd. 2. Fundamentals of Optics, F.A Jenkins and H.E White, 1976, McGraw-Hill 3. Principles of Optics, B.K. Mathur, 1995, Gopal Printing 4. Fundamentals of Optics, H.R. Gulati and D.R. Khanna, 1991, R. Chand Publications 5. University Physics. F.W. Sears, M.W. Zemansky and H.D. Young. 13/e, 1986. Addison-Wesley.
-
Syllabus: PHYSICS
42 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science , Department of Physics
ACADEMIC YEAR
2020-2021
B.Sc. Physics Programme
Year II Core/Elective/Foundation PHY______ : PHYSICS LABORATORY EXPERIMENTS
Credit / Hrs per week 2
Semester III Year of Introduction: 2020-2021 Theory/Lab Year of Syllabus Revision: Max marks 100 Objectives 1. Learn basic concepts of ___________ Physics for applications in the field.
2. Build fundamental base required for the programme Employability/ Entrepreneurship / Skill Development Aspects
Skill development
Course Outcome Ability to grasp and understand the basics to develop further COURSE CONTENT / SYLLABUS
Weightage (%) Unit-1 Based on Theory
REFERENCES 1. 2. 3. 4. 5.
-
Syllabus: PHYSICS
43 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science , Department of Physics
ACADEMIC YEAR
2020-2021
B.Sc. Physics Programme
Year II Core/Elective/Foundation PHY___________ : Electronics
Credit / Hrs per week 3
Semester III Year of Introduction: 2020-2021 Theory/Lab Year of Syllabus Revision: Max marks 100 Objectives 1. Learn basic concepts of Electronics Physics for applications in the field.
2. Build fundamental base required for the programme Employability/ Entrepreneurship / Skill Development Aspects
Skill development
Course Outcome Ability to grasp and understand the basics to develop further
COURSE CONTENT / SYLLABUS
Weightage (%) Unit-1 Digital Circuits:
Number System: Binary, Hex, Octal and BCD, addition, subtraction, multiplication of binary numbers, decimal numbrs, 2’s complement, conversion of numbers, binary to gray and ASCII codes, Parity checkDifference between Analog and Digital Circuits. Binary Numbers. Decimal to Binary and Binary to Decimal Conversion, AND, OR and NOT Gates (Realization using Diodes and Transistor). NAND and NOR Gates as Universal Gates. XOR and XNOR Gates. De Morgan's Theorems. Boolean Laws. Simplification of Logic Circuitusing Boolean Algebra.FundamentalProducts.Min-termsandMaxterms.Conversionofa Truth Table into an Equivalent Logic Circuit by Sum of Products Method.
33.33
Unit-2 Semiconductor Devices and Amplifiers: Semiconductor Diodes: P and N type semiconductors. Barrier Formation in PN Junction Diode. Qualitative Idea of Current Flow Mechanism in Forward and Reverse Biased Diode. PN junction and its characteristics. Static and Dynamic Resistance. Principle and structure of (1) LEDs, (2) Photodiode, (3) Solar Cell. Bipolar Junction transistors: n-p-n and p-n-p Transistors. Characteristics of CB, CE and CC Configurations. Current gains α and β. Relations between α and β. Load Line analysis of Transistors. DC Load line & Q-point. Active, Cutoff & Saturation regions. Voltage Divider Bias Circuit for CE Amplifier. h-parameter Equivalent Circuit. Analysis of single-stage CE amplifier using hybrid Model. Input & output Impedance. Current, Voltage and Power gains. Class A, B & C Amplifiers.
33.33
Unit-3 Instrumentations: Introduction to CRO: Block Diagram of CRO. Applications of CRO: (1) Study of Waveform, (2) Measurement of Voltage, Current, Frequency, and Phase Difference. Power Supply: Half-wave Rectifiers. Centre-tapped and Bridge Full-wave Rectifiers Calculation of Ripple Factor and Rectification Efficiency, Basic idea about capacitor filter, Zener Diode and Voltage Regulation
33.33
REFERENCES 1. Integrated Electronics, J. Millman and C.C. Halkias, 1991, Tata Mc-Graw Hill. 2. Digital Technologies by VirendraKumar New Age International, India 3. Microelectronic Circuits, M.H. Rashid, 2ndEdn., 2011, Cengage Learning. 4. Modern Electronic Instrumentation and Measurement Tech., Helfrickand Cooper,1990, PHI Learning 5. DigitalPrinciplesandApplications,A.P.Malvino,D.P.LeachandSaha,7thEd.,2011,
-
Syllabus: PHYSICS
44 | P a g e
Tata McGraw Hill 6. Fundamentals ofDigital Circuits, A. Anand Kumar, 2ndEdition, 2009,
PHI Learning Pvt. Ltd. 7. OP-AMP & Linear Digital Circuits, R.A. Gayakwad, 2000, PHI Learning Pvt. Ltd.
-
Syllabus: PHYSICS
45 | P a g e
The Maharaja Sayajirao University of Baroda Faculty of Science , Department of Physics
ACADEMIC YEAR
2020-2021
B.S