Math Competencies

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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