mth219 | undergraduate
Introduction To College Algebra
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Linear Equations in Two Variables, Functions, and Graphing Polynomials
- Determine the domain and range of a function.
- Graph linear equations in two variables.
- Determine the slope and the y-intercept of a linear equation.
- Use technology to graph polynomial equations.
- Compute function values from an equation and from a graph.
- Perform arithmetic operations on polynomials.
- Determine solutions to real-world applications involving linear functions.
- Factor polynomials using multiple methods.
- Factor trinomials when the leading coefficient is one.
- Factor trinomials whose leading coefficient is not one.
- Factor special case polynomials.
- Factor quadratic equations to solve real-world application problems.
- Determine the zeros of a polynomial equation.
Rational Expressions, Rational Equations and Functions
- Simplify rational expressions.
- Perform arithmetic operations on rational expressions.
- Solve rational equations algebraically.
- Solve problems using direct, joint, and inverse variation.
- Use proportions to solve real-world applications.
- Use technology to solve rational equations.
- Use rational equations to solve real-world application problems.
Composite and Inverse Functions
- Perform mathematic operations on functions.
- Perform composition of functions.
- Determine the inverse of a function.
- Evaluate composition of functions.
- Evaluate inverse functions.
- Solve real-world applications of operations on functions.
Mathematical Models, Equations, and Inequalities
- Perform arithmetic operations on algebraic expressions.
- Identify properties of 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 real-world application problems.
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