This is to inform you that RGPV has declared Mathematics III syllabus for B.E 3rd Semester Computer Science and Information Technology branch students.
M-III (BE III ) CS/IT Branches )
Course Contents (Proposed)
Unit: I Fourier Series:
Fourier Series for Continuous & Discontinuous Functions, Expansion of odd and even periodic
functions, Half range Fourier series, Complex form of Fourier Series, Parseval’s formula.
Unit: II
Fourier Transform: Complex Fourier Transform, Fourier Sine and Cosine Transforms.
Unit: III
Laplace Transform: Introduction of Laplace Transform, Laplace Transform of elementary Functions, Properties of Laplace Transform, Change of Scale Property, First and Second Shifting Properties, Laplace Transform of Derivatives and Integrals. Inverse Laplace Transform & its Properties, Convolution theorem, Applications of Laplace Transform in solving the Ordinary Differential Equations.
Unit: IV
Random Variables: Discrete and Continuous , Probability Function, Distribution Function, Density Function, Probability Distribution, Mean and Variance. .
Unit: V
Distribution: Discrete Distributions- Binomial & Poisson Distributions with their Constants, Moment Generating Functions, Expected Frequencies & Fittings, Continuous Distribution- Normal or Gaussian Distribution with normal curve, Properties, Constants, Moments, Method of Area of Fitting a normal distribution & Exponential Distribution.
References:
1. Erwin Kreyszig: Advanced Engineering Mathematics, Wiley India.
2. B.S. Grewal: Higher Engineering Mathematics , Khanna Publication.
3. Engineering Mathematics By Samnta Pal and Bhutia, Oxford Publication
4. Ramana: Advance Engg. Mathematics, TMH New Delhi
5. Numerical Methods for Engineers by Steven C. Chapra, McGraw Hill Education
6. Introductory Methods of Numerical Analysis by S. S. Sastry, PHI Learning Pvt. Ltd.
7. Numerical Methods By Shrimanta Pal, Oxford
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