BCA205

Mathematics II
Code: 
BCA205
Year / Semester: 
2nd Semester
Objective: 

To practice basic arithmetic to enhance reasoning and computational capabilities.

Credits: 
3

Matrices

Symmetric, Skew –symmetric , Hermitian and Skew Hermitian matrices, orthogonal and Unitary matrices, Elementary operation on matrices, Inverse of a matrix , Row rank, Column rank and their equivalence, Rank of a matrix, Eigen Vectors , Eigen values and the Characteristic equation of a matrix , Cayley –Hamilton theorem and its use in findings inverse of a matrices.

Vector Analysis

Vector Algebra : Triple products, reciprocal Vectors, Products of Vectors.

Vector Differentiation

Ordinary differentiations of vectors, Application to mechanics and geometry , Differential operator , Definition of del, Gradiant , Divergence , Curl

Vector integration

Gauss’s divergence theorem , Green’s theorem , Stoke’s theorem ( without proof) and their simple applications.

Determinants

Determinants and their properties.

Differential Equation

First order and first degree differential equations, separation of variables, Homogeneous, linear, exact differential equations, second order linear equations with constant coefficients, Orthogonal trajectories.

Suggested Readings: 

Mathematics By R D Sharma