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Introduction To College Algebra –

mth219

(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 5 weeks. To enroll, speak with an Enrollment Advisor.
  • Composite and Inverse Functions, Radical Expressions, and Radical Equations

    • Solve equations containing radicals.
    • Perform mathematical operations on radical expressions.

    • Perform mathematical operations on expressions with rational exponents.
    • Determine the inverse of a function.
    • Perform composition of functions.
  • Rational Expressions, Rational Equations and Functions

    • Evaluate piecewise functions.
    • Perform mathematic operations on radical functions.
    • Perform mathematic operations on functions.
    • Determine function values from a graph.
    • Determine the domain and range of a function.
    • Compute function values.
    • Solve problems using variation.
    • Use rational equations to solve application problems.
    • Perform arithmetic operations on rational expressions.
  • Factoring Polynomials and Rational Expressions

    • Divide rational expressions.
    • Multiply rational expressions.
    • Simplify rational expressions.
    • Use quadratic equations to solve application problems.
    • Factor special case polynomials.
    • Factor trinomials whose leading coefficient is not one.
  • Mathematical Models, Equations, and Inequalities

    • Solve linear equations.
    • Evaluate numerical expressions using order of operations.
    • Perform arithmetic operations on real numbers.
    • Identify properties of real numbers.
    • Perform arithmetic operations on algebraic expressions.
    • Solve absolute value equations.
    • Solve compound inequalities.

    • Use mathematical models to solve application problems.
    • Solve a formula for a given variable.
    • Solve linear inequalities.
  • Linear Equations in Two Variables, Polynomials, and Introduction to Factoring Polynomials

    • Perform arithmetic operations on polynomials.
    • Factor trinomials when the leading coefficient is one.
    • Factor polynomials by grouping.
    • Factor polynomials using the greatest common factor.
    • Determine the slope of a linear equation.
    • Graph linear equations in two variables.

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