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.
Linear Equations in Two Variables, Polynomials, and Introduction to Factoring Polynomials
Factor polynomials using the greatest common factor.
Factor polynomials by grouping.
Factor trinomials when the leading coefficient is one.
Perform arithmetic operations on polynomials.
Graph linear equations in two variables.
Determine the slope of a linear equation.
Factoring Polynomials and Rational Expressions
Factor trinomials whose leading coefficient is not one.
Factor special case polynomials.
Use quadratic equations to solve application problems.
Simplify rational expressions.
Multiply rational expressions.
Divide rational expressions.
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.
Perform mathematic operations on radical functions.
Evaluate piecewise 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.
Mathematical Models, Equations, and Inequalities
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.
Solve linear inequalities.
Solve a formula for a given variable.
Use mathematical models to solve application problems.
Solve compound inequalities.
Solve absolute value equations.
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