MTH 111Z - Precalculus I: Functions

4 Credit(s)

Prerequisite(s): MTH 95 and RD 90 or WR 91, or designated placement.

Course Description: A course primarily designed for students preparing for trigonometry or calculus. This course focuses on functions and their properties, including polynomial, rational, exponential, logarithmic, piecewise-defined, systems of equations, conic sections and inverse functions. These topics will be explored symbolically, numerically, and graphically in real-life applications and interpreted in context. This course emphasizes skill building, problem solving, modeling, reasoning, communication, connections with other disciplines, and the appropriate use of present-day technology. Course is graded A through F. Formerly offered as MTH 111 / MTH111Z.

Course Level: Lower Division Collegiate

Course Learning Outcomes:

CLO#1: Explore the concept of a function numerically, symbolically, verbally, and graphically and identify properties of functions both with and without technology.
CLO#2: Analyze polynomial, rational, exponential, and logarithmic functions, as well as piecewise-defined functions, in both algebraic and graphical contexts, and solve equations involving these function types.
CLO#3: Demonstrate algebraic and graphical competence in the use and application of functions including notation, evaluation, domain/range, algebraic operations & composition, inverses, transformations, symmetry, rate of change, extrema, intercepts, asymptotes, and other behavior. (ILO: Quantitative literacy & reasoning)
CLO#4: Use variables and functions to represent unknown quantities, create models, find solutions, and communicate an interpretation of the results.
CLO#5: Determine the reasonableness and implications of mathematical methods, solutions, and approximations in context.