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.
Mathematical Models, Equations, and Inequalities
- Solve absolute value equations.
- Solve a formula for a given variable.
- Perform arithmetic operations on algebraic expressions.
- Identify properties of real numbers.
- Perform arithmetic operations on real numbers.
- Evaluate numerical expressions using order of operations.
- Solve linear equations.
- Use mathematical models to solve application problems.
Solve compound inequalities.
- Solve linear inequalities.
Linear Equations in Two Variables, Polynomials, and Introduction to Factoring Polynomials
- Perform arithmetic operations on polynomials.
- Graph linear equations in two variables.
- Determine the slope of a linear equation.
- Factor trinomials when the leading coefficient is one.
- Factor polynomials using the greatest common factor.
- Factor polynomials by grouping.
Factoring Polynomials and Rational Expressions
- Multiply rational expressions.
- Factor special case polynomials.
- Simplify rational expressions.
- Use quadratic equations to solve application problems.
- Divide rational expressions.
- Factor trinomials whose leading coefficient is not one.
Rational Expressions, Rational Equations and Functions
- Perform arithmetic operations on rational expressions.
- Use rational equations to solve application problems.
- Solve problems using variation.
- Compute function values.
- Determine the domain and range of a function.
- Perform mathematic operations on functions.
- Evaluate piecewise functions.
- Perform mathematic operations on radical functions.
- Determine function values from a graph.
Composite and Inverse Functions, Radical Expressions, and Radical Equations
- Perform composition of functions.
- Determine the inverse of a function.
- Perform mathematical operations on expressions with rational exponents.
Perform mathematical operations on radical expressions.
- Solve equations containing radicals.
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