Syllabus for Math 106-Spring 2023

 

WEEK   TOPICS
1

 

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

2

 

Matrix addition and scalar multiplication, subtraction of matrices, matrix multiplication

3

 

Systems of linear equations, Solving systems of equations by elimination method

4

 

Solving a system by reducing matrices, Row reduced echelon form

5  

Determinants, Inverse of a matrix

6  

Cramer’s rule

7

 

Anti-derivatives and Indefinite Integrals, Techniques of Integration

8

 

Method of Substitution, Integration by Rational Fractions 

9

 

Integration by Parts

10

 

Area Between Curves and applications

11

 

Functions of Several variables

12

 

Partial Derivatives

13

 

Relative Extrema, 

14

 

Langrange Multipliers