The syllabus of 3rd Sem B.E. Mechatronics Program offered by Chhattisgarh Swami Vivekanand Technical University, Bhilai (C.G.) is as follows:
B.E. III SEMESTER MECHATRONICS ENGINEERING
UNIT - 1 FOURIER SERIES (No. of periods 8+2)
Periodic functions, Definition of Fourier series, Euler's formulae, Dirichlet conditions, Change of interval,
Even and odd functions, Half range Fourier Sine & Cosine series, Parsevals identity, Practical harmonic
analysis.
UNIT - 2 FOURIER TRANSFORM (No. of periods 8+2)
Definition of Fourier integrals Fourier Sine & Cosine integrals, Complex form of Fourier integral, Fourier
Sine & Cosine transforms, Complex form of Fourier transform, Linearity, shifting & scaling properties,
Modulation theorem, Inverse Fourier transform, Fourier transform of derivatives.
UNIT 3 LAPLACE TRANSFORM (No. of periods 8+2)
Definition, Linearity, shifting & scaling properties, Transform of elementary functions, Transform of
erivatives and integrals, Multiplication by t & division by t. Inverse Laplace transform, Convolution
theorem, Transform of periodic functions, Unit step function & Dirac delta function, Initial value & final
value theorems, Application to solution of ordinary differential equations.
UNIT - 4 COMPLEX VARIABLES (No. of periods 8+2)
Limit, Derivative, Analytic function, Cauchy-Riemann equations, Harmonic functions, Application to flow
problems. Complex integration, Cauchys integral theorem and integral formula, Taylors & Laurents
series, Singular point, Poles & residues, Residue theorem & its application to contour integration.
UNIT 5 CORRELATION AND REGRESSION (No. of periods 8+2)
Linear correlation, Measures of correlation, Karl Pearsons coefficient of correlation, Spearmans rank
correlation coefficient, Bivariate frequency distribution, Regression, lines of regression & coefficients of
regression, Standard error estimate.
TEXT BOOKS: -
1. Higher Engg. Mathematics by Dr. B.S. Grewal Khanna Publishers.
2. Advanced Engg. Mathematics by Erwin Kreyszig John Wiley & Sons.
REFERENCE BOOKS: -
1. Advanced Engg.Mathematics by R.K. Jain and S.R.K. Iyengar Narosa Publishing House.
2. Applied Mathematics by P.N.Wartikar & J.N. Wartikar. Vol- II Pune Vidyarthi Griha Prakashan, Pune.
1. Applied Mathematics for Engineers & Physicists by Louis A. Pipes- TMH.
Syllabus 3rd Sem B.E. Mechatronics Chhattisgarh Swami Vivekanand Technical University 
