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Course Detail

Course Name Mathematics IV
Course Code MA
Program B. Tech. in Electrical and Electronics Engineering
Semester 4
Credits Campus: Bengaluru, Chennai, Coimbatore, Amritapuri
Year Taught 2015
Year Taught 2016
Year Taught 2017
Year Taught 2018


Course 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 / References

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


‘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.

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