MATH430: ALGEBRA I
Course Description
This is the first course of algebra. It will cover simplifying algebraic expressions, linear equations and inequalities, linear functions and their graphs, systems of equations, polynomials, factoring, rational expressions, and applications of all of the above. PREREQUISITE: Math 402 with a grade of "Pass", or Math 411 or Math 205A with a grade of C or better, or assessment test recommendation.
Learning Outcomes
- Simplify and evaluate algebraic expressions. Solve linear equations and inequalities in one variable including compound inequalities. Evaluate and solve formulas. Analyze and solve problems involving applications of linear equations and inequalities in one variable.
- Graph linear functions and inequalities in two variables. Determine slope, y-intercept, x-intercept and other information from either the graph, given the equation, or other information about the line. Utilize the graphs in problem solving. Solve systems of equations and inequalities in two and three variables algebraically, Solve systems of equations in two variables graphically. Analyze and solve problems involving applications of linear equations, linear inequalities, and systems of linear equations in two variables.
- Add/subtract, multiply and divide polynomials and numbers in scientific notation. Simplify exponential expressions using properties of exponents. Solve application problems in all of the above.
- Identify and implement the appropriate strategy for factoring polynomials. Solve polynomial equations by factoring, set up and solve application problems involving polynomials and quadratic equations.
- Simplify, multiply, divide, add and subtract rational expressions and solve rational equations. Simplify complex fractions. Set up and solve rational equations for application problems.
- Analyze and translate verbal Expressions into Algebraic. Use symbolic language to name algebraic structures.
- Demonstrate proficiency with a scientific calculator