• 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