# 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

• 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.
• Perform mathematical operations on real numbers.
• Evaluate numerical expressions using order of operations.

### Factoring Polynomials and Rational Expressions, Part 2

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

### Functions and Inequalities, Part 1

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

### Functions and Inequalities, Part 2

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

• Perform mathematical operations on expressions with rational exponents.
• Perform mathematical operations on radical expressions.
• Perform operations on complex numbers.
• Perform mathematical operations on radical functions.

### Systems of Linear Equations and Polynomials, Part 2

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

### Systems of Linear Equations and Polynomials, Part 1

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

### Factoring Polynomials and Rational Expressions, Part 1

• Factor polynomials using various methods.