COURSE SUMMARY
Course Title:
Mathematics IV
Course Code:
MA
Year Taught:
2015
2016
2017
2018
Semester:
4
Degree:
School:
School of Engineering
Campus:
Bengaluru
Chennai
Coimbatore
Amritapuri

'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.

#### SYLLABUS

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.

#### TEXT BOOKS

• 1. Advanced Engineering Mathematics, E Kreyszig, John Wiley and Sons, Ninth Edition, 2012.