## Beginning AlgebraMAT 090, 091, 092

### Linear

• Simplifying expressions
• Solving equations with one variable
• Solving inequalities
• Using formulas and solving literal equations
• Graphing equations
• Slope
• Function definition and notation

• Graphing
• Substitution
• Elimination

### Polynomials

• Rules of exponents
• Operations with polynomials

### Factoring Techniques

• GCF
• Trinomials
• Difference of squares

## Intermediate AlgebraMAT 120, 121, 122

### Solve Inequalities

• Compound
• Absolute Value
• Factoring Techniques
• Cubes

### Rational Functions

• Expressions
• Equations

• Expressions
• Equations

• Discriminant
• Completing the square
• Complex Solutions
• Graphing

### Optional Topic

• Exponential and logarithmic functions

## College MathMAT 142

#### Topics

• Probability
• Descriptive statistics
• Normal distribution
• Finance
• Modeling
• Proportional reasoning/dimensional analysis

#### Competencies

• Modeling using linear, exponential, or other functions
• Demonstrate fluency with formulas
• Calculate, display and interpret measures of central tendency, variability, and position
• Solve finance problems including loans, amortization, investments
• Evaluate reasonableness of an answer
• Solve contextual problems using proportional reasoning and dimensional analysis

## College AlgebraMAT 150, 151, 152

#### Functions

• Domain and range
• Graphing
• Composition

#### Complex Numbers

• Basic operations

#### Polynomial Functions

• Zeros
• Remainder and factor theorem
• Graphing

• Graphing
• Applications

#### Inverse Functions

• 1-to-1
• Domain and range

#### Exponential and Logarithmic Functions

• Graph
• Simplify expressions
• Convert
• Solving

#### Systems

• Linear and/or non-linear
• Applications
• Inequalities
• Matrices

#### Optional Topics

• Sequences and series
• Conic sections
• Combinatorics

## Pre-CalculusMAT 187

#### Functions

• Domain and range
• Graphing
• Composition

#### Polynomial Functions

• Zeros and complex zeros
• Remainder and factor theorem
• Graphing

• Graphing
• Applications

#### Inverse Functions

• 1-to-1
• Domain and range

#### Exponential and Logarithmic Functions

• Graph
• Simplify expressions
• Convert
• Solving

#### *Trigonometric Functions

• Measuring angles using degrees and radians
• Use the unit circle to define trigonometric functions
• Use right triangles to define trigonometric functions
• Graphs
• Inverse trigonometric functions (including domains and ranges)
• Solving trigonometric equations
• Applications

#### *Other Topics in Trigonometry

• Trigonometric identities
• Law of sines
• Law of cosines
• Introduction to vectors

#### Optional Topics

• Systems, linear and/or non-linear
• Inequalities
• Matrices
• Sequences and series
• Conic sections
• Combinatorics
• Introduction to limits
• Introduction to polar coordinates
• Introduction to parametric equations