Weeks

Topics Covered

 

 
 

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

matrices

 

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

Review