MATH233B: SECOND HALF INT ALG
Course Description
This course will start with a review factoring polynomials, and then cover the following topics with an emphasis on applications and problem solving strategies: solving polynomial equations by factoring; adding, subtracting, multiplying, dividing and simplifying rational expressions and solving rational equations; adding, subtracting, multiplying, dividing and simplifying roots, radicals and complex numbers and solving radical equations; working with composition of functions and inverse functions, working with exponential and logarithmic functions, equations and expressions; employing various methods of solving quadratic equations and inequalities; and graphing quadratic functions. PREREQUISITE: Completion of MATH 233A with a grade of 'C' or better.
Learning Outcomes
- Analyze a variety of problems involving contemporary applications of linear, quadratic, exponential, logarithmic, and rational functions, and determine and implement an appropriate method of solution for these problems.
- Graph quadratic, logarithmic, and exponential functions, and identify and describe attributes of the graph such as x- and y-intercepts, domain, range, max and min.
- Analyze the graph of a given function, identify the function as linear, quadratic, logarithmic, exponential or other, and utilize the graph in solving applied problems.
- Differentiate between an expression or equation; identify the equation or expression as linear, quadratic, rational, radical, exponential or logarithmic; and determine and implement an appropriate strategy to simplify if it is an expression or solve if it is an equation.
- Set up and solve linear and non-linear inequalities both algebraically and graphically.
- Demonstrate proficiency with a scientific calculator.