mca Syllabus

2nd Semester

Advanced Mathematics
Code: PGCS201
Weekly Contact Hour: 3L
Credit: 3
Course contents

Differential equations of higher order including partial differential equation; Infinite and power series; Vectors: vector algebra in 2 and 3 spaces, vector calculus in multiple variables, gradients, divergence, curl, line integral, Green's theorem, surface integral; Matrices : basic concepts (addition, multiplication, rank, linear independence etc), Inverse of matrix, solutions of linear systems, Eigen values, eigenvectors, symmetric matrices, complex matrices; Different transformations : Fourier, Laplace, Z transform, etc, Data analysis and probability theory; Mathematical statistics.
Books

1. E. Kreyszig, “Advanced Engineering Mathematics 9th ed”, John wiley & sons.
2. H.K. Dass, “Advanced Engineering Mathematics”, S. Chand & Company
3. B.S. Grewal, “Higher Engineering Mathematics”, Khanna Publishers
4. Sastry, “Engineering Mathematics 3rd ed VOL I,II”, PHI
5. Sankara Rao, “Introduction to Partial Differential Equation 2nd”, PHI