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Nov 21, 2024
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2023-2024 WWCC College Catalog [ARCHIVED CATALOG]
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MATH& 141 - Precalculus I
Credits: 5
LEC hours per week: 5
MATH& 141 is the first in a series of two courses designed to give students an in-depth understanding of functions and to prepare students for calculus. Graphical analysis of concepts is emphasized through the use of technology.
Prerequisite(s): Course requires concurrent enrollment in MATH 041 OR having met one of the following prerequisites: grade of P in MATH 041 ; grade of C or higher in MATH 079 , MATH 080 , or MATH 080 F; appropriate placement; or permission of the Mathematics Department.
Course Outcomes:
- Analyze polynomial, root, rational, piecewise, exponential, and logarithmic functions.
- Identify domain and range.
- Generate and interpret graphs.
- Describe defining characteristics.
- Classify the type of function given an algebraic, tabular, graphical, or contextual representation.
- Find real and complex roots of polynomial functions and, conversely, construct the algebraic form of a polynomial function given its roots and/or graph.
- Combine functions using addition, subtraction, multiplication, division, and composition, and identify the domain.
- Analyze transformations resulting from the application of shifts and scales.
- Decide whether a function in invertible, and, if so, determine its inverse.
- Solve inequalities involving polynomial and rational expressions through analytic and graphical techniques.
- Solve equations involving polynomial, rational, exponential, and logarithmic expressions through analytic and graphical techniques.
- Construct appropriate functions to model and solve contextual problems.
Course Topics:
- Polynomial, root, rational, piecewise, exponential, and logarithmic functions
- Graphs, domain, range, intercepts, extrema, end behavior
- Patterns of change and average rate of change
- Factoring and roots of polynomials
- Complex numbers
- Function combinations
- Function transformations
- Inverse functions
- Solving equations and inequalities
- Critical use of technology
- Creating and using functions to model behaviors
Course Attribute(s): Natural Science, PT Computation/Mathematics, Quantitative
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