| Electrical Engineering Sem 3 Math 3 SPPU 2019 Syllabus |
|---|
| Subject:- Engineering Math (M3) |
| Branch:- Electrical Engineering |
| Semester:- 3 Semester |
| Pattern:- 2019 |
| Unit - 1 Linear Differential Equations (LDE) and Applications |
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| Unit 1 |
| Linear Differential Equations LDE and Applications |
| 1.1 LDE of nth order with constant coefficients |
| 1.2 Complementary Function Particular Integral |
| 1.3 General method Short methods |
| 1.4 Method of variation of parameters |
| 1.5 Cauchy’s and Legendre’s DE |
| 1.6 Simultaneous and Symmetric simultaneous DE |
| 1.7 Modelling of Electrical circuits |
| Unit - 2 Laplace Transform |
| Unit – 2 |
| Laplace Transform |
| 2.1 Definition of LT inverse LT |
| 2.2 Properties and theorems of LT |
| 2.3 LT of standard functions |
| 2.4 LT of some special functions viz. Periodic |
| 2.5 Unit step function |
| 2.6 Unit impulse function |
| 2.7 Applications of LT for solving linear differential equations |
| Unit - 3 Fourier and Z-Transforms |
| Unit – 3 |
| Fourier and ZTransforms |
| 3.1 Fourier Transform FT Complex exponential form of Fourier series |
| 3.2 Fourier integral theorem |
| 3.3 Fourier Sine Cosine integrals |
| 3.4 Fourier transform |
| 3.5 Fourier Sine and Cosine transforms and their inverses |
| 3.6 Z Transform ZT Introduction |
| 3.7 Definition |
| 3.8 Standard properties |
| 3.9 ZT of standard sequences and their inverses |
| 3.10 Solution of difference equations |
| Unit - 4 Statistics and probability |
| Unit – 4 |
| Statistics and probability |
| 4.1 Measures of central tendency |
| 4.2 Measures of dispersion |
| 4.3 Coefficients of variation |
| 4.4 Moments Skewness and kurtosis |
| 4.5 Correlation regression Reliability of regression estimates |
| 4.6 Probability and Probability density functions |
| 4.7 Probability distributions Binomial Poisson and Normal |
| 4.8 Test of hypothesis Chisquare test. |
| Unit - 5 Vector Calculus |
| Unit – 5 |
| Vector Calculus |
| 5.1 Vector differentiation |
| 5.2 Gradient |
| 5.3 Divergence curl and vector identities |
| 5.4 Directional derivative |
| 5.5 Solenoidal Irrotational field |
| 5.6 Line surface Volume integrals |
| 5.7 Green’s lemma |
| 5.8 Gauss’s divergence theorem |
| 5.9 Stoke’s theorem |
| Unit - 6 Complex Variables |
| Unit – 6 |
| Complex Variables |
| 6.1 Functions of a Complex variable |
| 6.2 Analytic functions |
| 6.3 CauchyRiemann equations |
| 6.4 Conformal mapping |
| 6.5 Bilinear transformation |
| 6.6 Cauchy’s integral theorem |
| 6.7 Cauchy’s integral formula and Residue theorem |
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