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 GaussJordan 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 

