Lesson Plan:Mathematics-III

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Lesson Plan

Discipline: CSE
Semester: 4th
Subject : Mathematics-III
Subject code
Lesson Plan Duration
Theory
week Lec day Topic
1st 1 Introduction with Euler’s formulae
2 Fourier series for discontinuous functions
3 Fourier  expansion for even and odd functions
4 tutorial
2nd 5 Change of Interval
6 Continued the above topic
7 Half range Sine and Cosine series, Typical Waveforms
8 Assignment: Fourier Series
3rd 9  Introduction, Fourier Integral, sine and cosine Integral
10 Test: Fourier Series
11 Fourier transform, sine and cosine transform
12 tutorial
4th 13 Fourier transform of Integrals, Convolution theorem
14 Shifting theorem on Time and Frequency axes
15 Fourier transform of derivatives and Integrals
16 revision
5th 17 Fourier transform of Dirac delta function
18 Assignment: Fourier Transforms
19 Function of complex variable: Introduction, Definition, Exponential functions
20 Trigonometric and Hyperbolic functions
6th 21 Logarithmic functions
22 Test: Fourier Transforms
23 Limit and Continuity of complex functions
24 tutorial
7th 25 Necessary & Sufficient conditions for analytic functions
26 Polar form of C-R equations, Harmonic functions and Orthogonal system
27 Applications of flow problems
28 Revision
8th 29 Integration of Complex functions
30 Cauchy Integral theorem and formula
31 Power series, Taylor’s, Laurent’s and
32 tutorial
9th 33 Zeroes and singularities of complex functions
34 Residue theorem
35 Evaluation of real Integrals using residue around unit and semi circle
36 Assignment: Function of Complex variable
10th 37 Probability Distributions: Introduction, definition, basic and conditional probability
38 Baye’s theorem and its applications
39 Mean and variance of random variable
40 revision
11th 41 Test: Function of Complex variable
42 Properties and applications of Binomial distribution
43 Properties and applications of Poisson distribution
44 revision
12th 45 Properties and applications of Normal distribution
46 Assignment: Probability Distributions
47 Testing of Hypothesis: Introduction, definition, test of significance of large samples
48 Continued the above topic
13th 49 Test of significance of small samples: Student’s                 t- distribution
50 Test: Probability Distributions
51 Chi- square test of goodness of fit
52 Assignment: Testing of Hypothesis
14th 53 Linear Programming: Introduction, Formulation of LPP
54 Solution of LPP’s using Graphical method
55 Solution of LPP’s using Simplex method
56 revision
15th 57 Solution of LPP’s using Dual Simplex method
58 Solution of LPP’s using Big- M method
59 To find Dual of given Primal
60 Assignment/Test:  Linear Programming Problems