Introduction To College Algebra – mat219 (3 credits)

This course introduces algebraic concepts providing a solid foundation for college algebra. Topics range from properties of real numbers, the order of operations, and algebraic expressions to solving equations and inequalities. Additional topics include polynomials, factoring methods, rational and radical expressions as well as graphing and functions.

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.

Mathematical Models, Equations, Inequalities, and Linear Equations in Two Variables

  • Perform mathematical operations on real numbers.
  • Evaluate numerical expressions using order of operations.
  • Solve linear equations, inequalities and formulas.
  • Use mathematical models to solve problems.
  • Perform mathematical operations (add, subtract, multiply, and divide) on algebraic expressions.
  • Identify properties of real numbers.
  • Graph linear equations in two variables.

Factoring Polynomials and Rational Expressions, Part 2

  • Solve problems using variation.
  • Factor polynomials using various methods.
  • Solve quadratic equations.
  • Perform mathematical operations on rational expressions.
  • Solve rational equations and application problems.

Functions and Inequalities, Part 1

  • Determine whether a relation is a function.
  • Compute function values.
  • Determine the domain and range of a function.
  • Perform mathematical operations on functions.
  • Solve compound inequalities.
  • Solve absolute value equations and inequalities.
  • Solve systems of linear inequalities using graphing.
  • Solve composite and inverse functions.

Functions and Inequalities, Part 2

  • Determine whether a relation is a function.
  • Compute function values.
  • Determine the domain and range of a function.
  • Perform mathematical operations on functions.
  • Solve composite and inverse functions.
  • Solve compound inequalities.
  • Solve absolute value equations and inequalities.
  • Solve systems of linear inequalities using graphing.

Radical Functions

  • Perform mathematical operations on radical functions.
  • Perform mathematical operations on expressions with rational exponents.
  • Perform mathematical operations on radical expressions.
  • Solve equations containing radicals.
  • Perform operations on complex numbers.

Systems of Linear Equations and Polynomials, Part 1

  • Solve systems of linear equations.
  • Perform mathematical operations on polynomials.

Systems of Linear Equations and Polynomials, Part 2

  • Solve systems of linear equations.
  • Perform mathematical operations on polynomials.

Factoring Polynomials and Rational Expressions, Part 1

  • Factor polynomials using various methods.
  • Solve quadratic equations.
  • Perform mathematical operations on rational expressions.
  • Solve rational equations and application problems.
  • Solve problems using variation.

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