College Algebra with Trigonometry
Linear Equations and Inequalities
1. Graphing lines
2. Writing equations of lines
3. Graphing Inequalities
4. Review of absolute value, quadratic and rational inequalities
4. Applications in one variable
All word problem review
Chapter Test
Systems
1. Solving linear systems algebraically, including 3 variables
2. Classifying systems as consistent (dep or ind) or inconsistent
3. Solving systems graphically
4. Applications in two or more variables – all word problems
5. Linear programming
Chapter Test
Matrices
1. Size
2. Operations
3. Application with multiplication
4. Determinants
5. Inverses
5. Solving systems using matrices
a. calculator and inverse
b. Cramer’s Rule
Chapter Test
Functions – deeper understanding and more rigor than Alg 2
1. Relations and Functions
2. Determining a Function
Coordinates, vertical line test, mapping equations
3. Domain and Range
3. One-to-one, Many-to-one, Onto
4. Function Notation
5. The Algebra of Functions
6. Composition of Functions and Domain
7. Graphing using transformations (library of functions)
8. Inverse Functions and Domain
9. Piecewise, writing absolute value as a piecewise
Chapter Test
Quadratics
1. Quick review
2. Re-do with equations quadratic in form
Chapter Test
Rational Exponents
1. Operations
2. Evaluating
2. Factoring
3. Equations
Chapter Test
Exponentials and Logs
Chapter Test
Trig Review
Chapter Test
Final Examination for College Algebra with Trig