MATH 1120 : Linear Algebra and Vector Analysis

Introduction of Linear Algebra. Matrices and their operations. Types of matrices. Elementary transformations. Determinants, elementary properties. Inverse of a matrix. Linear systems of equations. Methods for solving the system of linear equations. Vector Calculus and line and plane in space. Calculus of vector valued function. Notions of limit, continuity, differentiability and optimization of function of several variables. Functions in two or three variables, limits, continuity, partial derivatives, differentials, chain rule, directional derivatives, tangent planes and normal lines to surfaces. Eigen values and Eigen vectors. Laplace transforms.