MAT 102S LINEAR ALGEBRA AND DIFFERENTIAL EQUATIONS

3 Hours/Week, 3 Credits

1. Matrix: Types of matrices; algebraic operations of matrices; inverse of matrices; elementary operations of matrices; matrix equivalence; rank of a matrix; solutions of system of linear equations; vector space, linearly independent and dependent vectors, basis and dimension of a vector space, inner product spaces, orthogonal and otrhonomal basis. 2. Differential equation: Definition and solution of ordinary differential equations; first order ordinary differential equations; second order ordinary linear differential equations with constant coefficients and their solutions, initial value problems, linear and non-linear partial differential equations with their solutions. Recommended Books 1. Matrices by F. Ayres 2. Elementary Linear Algebra with Applications by Anton, H. and Rorres, C. 3. Introduction to Differential Equations by Ross, L. 4. Differential equations by Ayres, F.