rptinstructionplan (2)

Lovely Professional University,Punjab

Course No Cours Title Course Planner Lectures Tutorial Practical Credits

MTH102 ENGINEERING MATHEMATICS-II 11518 :: Gurpreet Singh Bhatia 3 2 0 4

Course Category Numerical courses with tests and quizzes only

Sr. No. (Web adress) (only if relevant to the courses) Salient Features

6 http://hyperphysics.phy-astr.gsu.edu/hbase/sphc.html Gives the information of spherical polar coordinates

7 http://tutorial.math.lamar.edu/Classes/CalcIII/MultipleIntegralsIntro.aspx

Multiple integral

Sr No Jouranls atricles as compulsary readings (specific articles, Complete reference)

3 SIAM(society of industrial and applied mathematics) journal on applied mathematics, 2007, vol.68, issue 2, p437-460

4 journal on mathematical sciences, sep 2005, vol.129, issue 6, p4251-4408

5 Comptes Rendus Mathematique; Apr2011, Vol. 349 Issue 7/8, p401-405, 5p

Grewal B.S, Higher Engineering Mathematics, Khanna Publishers, Delhi (41th edition)1Text Book:

Other Specific Book:E.Kreyszig, Advanced Engineering Mathematics, 8th Edition, Wiley Eastern 1985.2

Relevant Websites

Other Reading

Detailed Plan For Lectures

Week Number Lecture Number Lecture Topic Chapters/Sections of Textbook/other reference

Pedagogical tool Demonstration/case study/images/anmation ctc. planned

Format For Instruction Plan [for Courses with Lectures and Tutorials

1 Approved for Spring Session 2011-12

Part 1Week 1 Lecture 1 Double Integral ->Reference :1,Ch 7

7.1Lecture

Lecture 2 Double Integral ->Reference :1,Ch 7 7.1->Reference :4

Lecture

Lecture 3 Change of order of Integration ->Reference :1,Ch 7 7.2

Lecture

Week 2 Lecture 4 Change of order of Integration ->Reference :1,Ch 7 7.2

Lecture

Lecture 5 Triple Integrals ->Reference :1,Ch 7 7.5

Lecture

Lecture 6 Change of Variable ->Reference :1,Ch 7 7.7->Reference :6->Reference :7

Lecture, Animated image related to spherical polar coordinates

Week 3 Lecture 7 Change of Variable ->Reference :1,Ch 7 7.7->Reference :6->Reference :7

Lecture, Animated image related to spherical polar coordinates

Lecture 8 Applications to find area and volume. ->Reference :1,Ch 7 7.4 7.6

Lecture

Lecture 9 Applications to find area and volume. ->Reference :1,Ch 7 (7.4)(7.6)->Reference :6->Reference :7

Lecture, Animated images related to volume

Week 4 Lecture 10 Laplace Transform ->Reference :1,Ch 21 21.2

Lecture

Part 2Week 4 Lecture 11 Properties of Laplace Transform ->Reference :1,Ch 21

21.4Lecture

Lecture 12 Laplace Transform of Derivatives & integrals ->Reference :1,Ch 21 (21.7)(21.8)

Lecture

Week 5 Lecture 13 Multiplication and division by t ->Reference :1,Ch 21 (21.9)(21.10)

Lecture

Lecture 14 Inverse Laplace Transform ->Reference :1,Ch 21 (21.12-21.13)

Lecture


Week 5 Lecture 15 convolution theorem ->Reference :1,Ch 21 (21.14)

Lecture

Week 6 Lecture 16 Solution of Differential equations by using Laplace Transform

->Reference :1,Ch 21 (21.15-21.16)

Lecture

Lecture 17 Solution of Differential equations by using Laplace Transform

->Reference :1,Ch 21 (21.15-21.16)

Lecture

Lecture 18 Fourier series,Euler’s formula ->Reference :1,Ch 10 (10.2)

Lecture

Week 7 Lecture 19 change of interval ->Reference :1,Ch 10 (10.5)

Lecture

Lecture 20 Fourier series of even and odd functions ->Reference :1,Ch 10 (10.6)

Lecture

Lecture 21 Half range expansions ->Reference :1,Ch 10 (10.7)

Lecture

MID-TERMPart 3

Week 8 Lecture 22 Complex numbers, De-Moivre’s Theorem ->Reference :1,Ch 19 (19.1)(19.4)

Lecture

Lecture 23 Roots of a complex number ->Reference :1,Ch 19 (19.5)(19.6)

Lecture

Lecture 24 Exponential , circular and Logarithmic function of a complex variable

->Reference :1,Ch 19 (19.8)(19.9)(19.13)

Lecture

Week 9 Lecture 25 Exponential , circular and Logarithmic function of a complex variable

->Reference :1,Ch 19 (19.8)(19.9)(19.13)

Lecture

Lecture 26 Hyperbolic functions, Inverse Hyperbolic function ->Reference :1,Ch 19 (19.10-19.12)

Lecture

Lecture 27 Hyperbolic functions, Inverse Hyperbolic function ->Reference :1,Ch 19 (19.10-19.12)

Lecture

Week 10 Lecture 28 Summation of series Using C+iS method. ->Reference :1,Ch 19 (19.14)

Lecture

Lecture 29 Summation of series Using C+iS method. ->Reference :1,Ch 19 (19.14)

Lecture

Part 4Week 10 Lecture 30 Differentiation of vectors,Del, ->Reference :1,Ch 8

(8.1)(8.3)Lecture

Week 11 Lecture 31 Gradient of scalar field and directional derivatives ->Reference :1,Ch 8(8.4-8.5)

Lecture


Week 11 Lecture 32 Gradient of scalar field and directional derivatives ->Reference :1,Ch 8(8.4-8.5)

Lecture, Animated images

Lecture 33 Divergence and Curl of a vector field ->Reference :1,Ch 8(8.6-8.9)

Lecture

Week 12 Lecture 34 Line integral and Green’s theorem ->Reference :1,Ch 8(8.11)(8.13)

Lecture

Lecture 35 Line integral and Green’s theorem ->Reference :1,Ch 8(8.11)(8.13)

Lecture

Lecture 36 Surface integrals ->Reference :1,Ch 8(8.11)(8.13)->Reference :6->Reference :7


Week 13 Lecture 37 volume integrals ->Reference :1,Ch 8(8.12)(8.15)->Reference :6->Reference :7


Lecture 38 Gauss Divergence Theorem ->Reference :1,Ch 8(8.16)

Lecture

Lecture 39 Stoke’s theorem ->Reference :1,Ch 8(8.14)

Lecture

Spill OverWeek 14 Lecture 40 Properties of Definite integral ->Reference :1,Ch 6 Lecture

Lecture 41 Properties of vector ->Reference :1,Ch 3 Lecture

Details of homework and case studies Homework No. Objective Topic of the Homework Nature of homework

(group/individuals/field work

Evaluation Mode Allottment / submission

Week

Test 1 To check the understanding of concepts of double and triple integrals

Double Integral, Change of order of Integration, Triple Integrals, Change of VariableApplications to find area and volume

Individual Written test 3 / 4

Test 2 To check the understanding of the concept of

Laplace Transform, Properties of Laplace Transform, Laplace Transform of Derivatives & integrals,Multiplication and division by t, Inverse Laplace Transform, convolution theorem,Solution of Differential equations by using Laplace Transform



Test 3 To Check the understanding the concept of complex numbers

Complex numbers, De-Moivre’s Theorem,Roots of a complex number.Exponential , circular and Logarithmic function of a complex variable,Hyperbolic functions, Inverse Hyperbolic function. Summation of series Using C+iS method.


Scheme for CA:out of 100*Component Frequency Out Of Each Marks Total Marks

Test 2 3 10 20

Total :- 10 20

* In ENG courses wherever the total exceeds 100, consider x best out of y components of CA, as explained in teacher's guide available on the UMS

Plan for Tutorial: (Please do not use these time slots for syllabus coverage)Tutorial No. Lecture Topic Type of pedagogical tool(s) planned

(case analysis,problem solving test,role play,business game etc)

Tutorial 1 Double Integral, Change of order of Integration Problem solving

Tutorial 2 Double Integral, Change of order of Integration Problem solving

Tutorial 3 Triple Integrals, Change of Variable Problem solving

Tutorial 4 Triple Integrals, Change of Variable Problem solving

Tutorial 5 Applications to find area and volume Problem solving

Tutorial 6 Applications to find area and volume Problem solving

Tutorial 7 Test(There will be different test for G1 and G2) Test

Tutorial 8 Laplace Transform, Properties of Laplace Transform Problem solving

Tutorial 9 Laplace Transform, Properties of Laplace Transform Problem solving

Tutorial 10 Laplace Transform of Derivatives & integrals,Multiplication and division by t, Inverse Laplace Transform, convolution theorem

Problem solving

Tutorial 11 Solution of Differential equations by using Laplace Transform,Fourier series,Euler’s formula

Problem solving



Tutorial 13 change of interval, Fourier series of even and odd functions,Half range expansions

Problem solving

Tutorial 14 change of interval, Fourier series of even and odd functions,Half range expansions

Problem solving

After Mid-TermTutorial 15 Complex numbers, De-Moivre’s Theorem, Roots of a

complex numberProblem solving

Tutorial 16 Exponential , circular and Logarithmic function of a complex variable

Problem solving

Tutorial 17 Exponential , circular and Logarithmic function of a complex variable

Problem solving

Tutorial 18 Exponential , circular and Logarithmic function of a complex variabe

Problem solving

Tutorial 19 Hyperbolic and inverse hyperbolic functions Problem solving

Tutorial 20 Summation of series Using C+iS method. Problem solving

Tutorial 21 Summation of series Using C+iS method. Problem solving


Tutorial 23 Differentiation of vectors,Del, Gradient ,divergence and curl, directional derivative

Problem solving

Tutorial 24 Differentiation of vectors,Del, Gradient ,divergence and curl, directional derivative

Problem solving

Tutorial 25 Line integral and Green’s theorem, surface integral Problem solving

Tutorial 26 Gauss divergence thm and stokes thm Problem solving


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