Weeks

Topics Covered

1 - 2

Review on Integration

3

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

matrices

4

Matrix addition and scalar multiplication,

subtraction of matrices, Matrix Multiplication

5 - 6

Systems of linear equations, Solving systems of equations 

by Gauss-Jordan elimination method,

Row reduced echelon form

  First Midterm Exam

7

 Determinants of Matrices, Adjoint, Cramer’s Rule,

Finding Inverses in two ways, examples           

8

Functions of Several Variables, Partial Derivatives,

marginal cost for functions of two variables

9 - 10

Implicit differentiation, Relative Extrema,

Lagrange Multipliers

 

Second Midterm Exam

11

Remarks on integration techniques, Double Integrals

12 - 14

First Order Differential Equations, Exact Equations,

Linear Equations, Introduction to Sequences&Series,

First order difference equations

Review