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Savitribai Phule Pune University, Maharashtra (SPPU), Electrical Engineering Semester 3, Engineering Mathematics III Syllabus
Engineering Mathematics III Lecture notes | Videos | Free pdf Download | Previous years solved question papers | MCQs | Question Banks| Syllabus
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Unit - 1 Linear Differential Equations (LDE) and Applications
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.
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