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The syllabus of BE (Electrical Engineering) III Semester Program of Chhattisgarh Swami Vivekanand Technical University, Bhilai on which the question paper is based is as follows:

Subject: Mathematics – III

UNIT- I Fourier series: Euler’s Formula, Functions having points of discontinuity, Change of interval, Even & Odd functions, half range series, Harmonic analysis.

UNIT-II Laplace transform : Definition, Transform of elementary functions, Properties of Laplace transform, Transform of derivatives & integrals, Multiplication by tn, Division by t, Evaluation of integrals, Inverse Laplace Transform, Convolution theorem, Unit step function, Unit impulse function, Periodic function, Application to solution of ordinary differential equations.

UNIT- III Partial differential equation: Formation, Solution by direct integration method, Linear equation of first order, Homogeneous linear equation with constant coefficients, Non-homogeneous linear equations, Method of separation of variables.

UNIT-IV Complex variables: Derivative, Cauchy-Riemann equations, Analytic functions, Harmonic functions, Flow problems, Complex integration, Cauchy theorem, Cauchy integral formula, Taylor& Laurent series, Singularity, Residue and Evaluation of real definite integrals.

UNIT-V Z-transform: Definition, Properties, Initial value & final value theorems, Inverse Z-transform, Convolution theorem, Partial fraction, Residue method & Applications to solution of difference equations.

Text Books:
1. “Higher Engg. Mathematics”, Dr. B.S. Grewal– Khanna Publishers.
2. “Advanced Engg. Mathematics” , Erwin Kreyszig – John Wiley & Sons.
Reference Books:
1. “Advanced Engg. Mathematics”, R.K. Jain and S.R.K. Iyengar – Narosa Publishing House.
2. “Applied Mathematics”, P.N.Wartikar& J.N. Wartikar. Vol-II Pune VidyarthiGrihaPrakashan,Pune.
3. “Applied Mathematics for Engineers & Physicists”, Louis A. Pipes- TMH.


Syllabus of BE (Electrical Engineering) III Semester Program CSVTU, Bhilai

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