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

Probability

  • Counting principles
  • Distributions
  • Dependent and independent events

Statistics

  • Measures of central tendency
  • Measures of dispersion
  • Linear regression
  • Sampling methods
  • Statistical inference

Finance

  • Interest
  • Amortization

Exponential Modeling

  • Growth
  • Decay

Other Topics (Choose some, others are optional)

  • Linear programming
  • Geometry
  • Logic
  • Systems
  • Sequences and series
  • Problem solving techniques
  • Voting theory and appointment
  • Graph theory
  • Game theory

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
    I* nequalities
  • Matrices

Optional Topics

  • Sequences and series
  • Conic sections
  • Combinatorics

Pre-Calculus
MAT 187

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

Trigonometric Functions

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

Other Topics in Trigonometry (Not Optional)

  • Verifying trig identities
  • Law of sines
  • Law of cosines
  • Introduction to vectors
  • Optional Topics
  • Systems
  • Linear and/or non-linear
  • Applications
  • Inequalities
  • Matrices
  • Sequences and series
  • Conic sections
  • Combinatorics
  • Introduction to limits
  • Introduction to polar coordinates
  • Introduction to parametric equations

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