Lesson Plan
|
| Discipline: Civil Engineering |
| 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 |
