## Beginning Algebra

MAT 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

### 2×2 Systems

- Graphing
- Substitution
- Elimination

### Polynomials

- Rules of exponents
- Operations with polynomials

### Factoring Techniques

- GCF
- Trinomials
- Difference of squares

## Intermediate Algebra

MAT 120, 121, 122

### Solve Inequalities

- Compound
- Absolute Value
- Factoring Techniques
- Advanced
- Cubes

### Rational Functions

- Expressions
- Equations

### Radical Functions

- Expressions
- Equations

### Quadratic Functions

- Discriminant
- Completing the square
- Quadratic formula
- Complex Solutions
- Graphing

### Optional Topic

- Exponential and logarithmic functions

## College Math

MAT 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 Algebra

MAT 150, 151, 152

#### Functions

- Domain and range
- Graphing
- Composition

#### Complex Numbers

- Basic operations

#### Polynomial Functions

- Zeros
- Remainder and factor theorem
- Graphing

#### Rational Functions

- 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-Calculus

MAT 187

*Note that Trigonometry/Precalculus II competencies include all of the listed Trigonometric topics denoted by *.*

#### Functions

- Domain and range
- Graphing
- Composition

#### Polynomial Functions

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

#### Rational Functions

- 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

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