College Algebra – mth220 (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 5 weeks. This course is available to take individually or as part of a degree or certificate program. To enroll, speak with an Enrollment Representative.

Systems of Equations and Matrices

  • Use matrices and Gaussian elimination to solve systems.
  • Solve systems of linear equations.
  • Distinguish between linear and nonlinear systems of equations.
  • Solve systems of nonlinear equations.
  • Perform operations on matrices.
  • Solve systems of linear inequalities with graphing.

Sequences and Series

  • Solve application problems involving a series.
  • Find a general term given the terms of a sequence.
  • Find the sum of the first n terms of a sequence.
  • Find terms of a sequence from the general term.
  • Solve factorial notation problems.
  • Solve recursion formula problems.

Counting Methods and Probability

  • Use the multiplication principle to solve counting problems.
  • Solve permutation problems.
  • Solve combination problems.
  • Solve probability problems.

Graphing, the Distance Formula, and Circles

  • Graph rational functions.
  • Identify functions behavior as increasing, decreasing, or constant.
  • Solve problems involving a function’s zeros, maximum, or minimum values.
  • Graph polynomial functions.
  • Perform transformations on a given graph.
  • Find the distance between two points.
  • Find the midpoint of a segment.
  • Write the standard form of a circle’s equation.
  • Perform operations on functions.

Exponential and Logarithmic Functions

  • Apply properties of logarithms.
  • Identify types of symmetry and asymptotes, given a function and a graphing calculator.
  • Solve exponential functions.
  • Solve logarithmic functions.
  • Identify graphs of exponential and logarithmic functions.
  • Convert between exponential and logarithmic forms.
  • Solve real-world applications using exponential and logarithmic functions.

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