'Mathematics IV' is a course offered in the fourth semester of B. Tech. in Electrical and Electronics Engineering program at School of Engineering, Amrita Vishwa Vidyapeetham.
Laplace Transform ( 1 Credit)
Laplace Transforms, Inverse Transforms, Linearity, Shifting, Transforms of Derivatives and Integrals, Differential Equations, Unit Step Function, Second Shifting Theorem, Dirac’s Delta Function. Differentiation and Integration of Transforms. Convolution, Integral Equations, Partial Fractions, Differential Equations, Systems of Differential Equations.
Fourier Series and Fourier Transform
Complex Line Integral, Cauchy Integral Theorem, Cauchy Integral Formula, Derivatives of Analytic Functions. (Sections : 14.1-14.3)
Unit 3
Fourier series, Half range Expansions, Parseval’s Identity, Fourier Integrals, Fourier integral theorem. Sine and Cosine Integrals. Fourier Transforms, Sine and Cosine Transforms, Properties, Convolution theorem.
- 1. Advanced Engineering Mathematics, E Kreyszig, John Wiley and Sons, Ninth Edition, 2012.
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