College Algebra –

mat220

(3 credits)

This course presents traditional concepts in college algebra. Topics include linear, polynomial, rational, radical, exponential, and logarithmic functions, systems of equations, sequences, series, and probability.

This undergraduate-level course is 9 weeks. This course is available to take individually or as part of a degree or certificate program. To enroll, speak with an Enrollment Representative.

Polynomial and Rational Functions, Part 1

  • Solve problems involving a quadratic function’s maximum or minimum value.
  • Graph polynomial and rational functions.
  • Solve polynomial equations.
  • Solve problems involving rational functions.
  • Solve polynomial and rational inequalities.
  • Solve problems involving combined variation.

Polynomial and Rational Functions, Part 2

  • Solve problems involving a quadratic function’s maximum or minimum value.
  • Graph polynomial and rational functions.
  • Solve polynomial equations.
  • Solve problems involving rational functions.
  • Solve polynomial and rational inequalities.
  • Solve problems involving combined variation.

Exponential and Logarithmic Functions, Part 1

  • Solve exponential and logarithmic functions.
  • Identify graphs of exponential and logarithmic functions.
  • Convert between exponential and logarithmic forms.
  • Apply properties of logarithms.
  • Solve real-world applications using exponential and logarithmic functions.

Exponential and Logarithmic Functions, Part 2

  • Solve exponential and logarithmic functions.
  • Identify graphs of exponential and logarithmic functions.
  • Convert between exponential and logarithmic forms.
  • Apply properties of logarithms.
  • Solve real-world applications using exponential and logarithmic functions.

Systems of Nonlinear Equations and Matrices, Part 1

  • Distinguish between linear and nonlinear systems of equations.
  • Solve systems of nonlinear equations.
  • Use matrices and Gaussian elimination to solve systems.
  • Solve rational equations and application problems.
  • Perform operations on matrices.

Systems of Nonlinear Equations and Matrices, Part 2

  • Distinguish between linear and nonlinear systems of equations.
  • Solve systems of nonlinear equations.
  • Use matrices and Gaussian elimination to solve systems.
  • Solve rational equations and application problems.
  • Perform operations on matrices.

The Distance Formula, Circles, and Conic Sections, Part 1

  • Find the distance between two points.
  • Find the midpoint of a line segment.
  • Write the standard form of a circle’s equation.
  • Convert the general form of a circle’s equation to the standard form.
  • Identify graphs of conic sections.
  • Write equations of conic sections in standard form.
  • Solve applied conic section problems.

The Distance Formula, Circles, and Conic Sections, Part 2

  • Find the distance between two points.
  • Find the midpoint of a line segment.
  • Write the standard form of a circle’s equation.
  • Convert the general form of a circle’s equation to the standard form.
  • Identify graphs of conic sections.
  • Write equations of conic sections in standard form.
  • Solve applied conic section problems.

Sequences and Probability

  • Find terms of a sequence from the general term.
  • Solve factorial notation problems.
  • Solve recursion formula problems.
  • Find the sum of the first n terms of a sequence.
  • Solve application problems involving a series.
  • Solve fundamental principle of counting problems.
  • Solve combination and permutation problems.
  • Solve probability problems.

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