Topics Covered



Matrices, equality of matrices, transpose of a matrix, special



Matrix addition and scalar multiplication,

subtraction of matrices, Matrix Multiplication


Systems of linear equations, Solving systems of equations 

by Gauss-Jordan elimination method,

Row reduced echelon form



 Determinants of Matrices, Adjoint, Cramer’s Rule,

Finding Inverses in two ways, examples           


Functions of Several Variables, Partial Derivatives,

marginal cost for functions of two variables


Implicit differentiation, Relative Extrema,

Lagrange Multipliers


Review on Integration


Remarks on integration techniques, Double Integrals


First Order Differential Equations, Exact Equations,

Linear Equations, Introduction to Sequences&Series,

First order difference equations