Sri Venkateswara University, Andhra Pradesh, Electrical & Electronics Engineering Semester 2, Engineering Mathematics – II Syllabus

Unit – 1

Matrices: rank of a matrix-solution of system of linear equations-eigen values,vectors-cayley-
hamilton theorem-quadratic forms-diagonalization.

Unit – 2
Vector Calculus: Gradient, Divergence, Curl of a vector and related properties - line, surface,
volume integrals - Green’s, Stokes’s and Gauss Divergence theorems and its applications.

Unit – 3
Fourier Series: Fourier series-even and odd functions, periodic functions-half range sine and
cosine series-harmonic analysis.

Unit – 4

Special Functions I: Gamma and Beta functions-series solutions of differential equations-
ordinary points.

Unit – 5
Special Functions II: Bessel function - recurrence formulae - generating function for Jn(X)-
Lengender polynomials - recurrence formulae - generating function for Pn(X) - Rodrigue’s
formula - orthogonality of Lengender polynomials.

Text Books:
1. B S Grewal, Higher Engineering Mathematics, 40th Edition, Khanna Publications, 2007.
2. M K Venkataraman, Engineering Mathematics, National Publishing Company, Chennai.
3. B V Ramana, Higher Engineering Mathematics, 6th Reprint, Tata McGraw-Hill, 2008.
4. Bali and Iyengar, Engineering Mathematics, 6th Edition, Laxmi Publications, 2006.