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
Radical Functions
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
Polynomial Functions
- Zeros
- Remainder and factor theorem
- Graphing
Rational Functions
Inverse Functions
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
Inverse Functions
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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