MCCCD Program Description

Precalculus

Course: MAT187

First Term: 2013 Spring

Lecture 5.0 Credit(s) 5.0 Period(s) 5.0 Load
Subject Type: Academic
Load Formula: S

Description: A precalculus course combining topics from college algebra and trigonometry. Preparation for analytic geometry and calculus. May receive credit for only one of the following: MAT150, MAT151, MAT152, or MAT187.

MCCCD Official Course Competencies
1. Find real and complex zeros of polynomial functions. (I-II) 2. Calculate and interpret average rate of change. (I-III) 3. Determine the inverse of a relation when represented numerically, analytically, or graphically. (I-IV) 4. Analyze and interpret the behavior of functions, including domain and range, end behavior, increasing and decreasing intervals, extrema, asymptotic behavior, and symmetry. (I-V) 5. Determine whether a function is one-to-one when represented numerically, analytically, or graphically. (I-V) 6. Determine whether a relation is a function when represented numerically, analytically, or graphically. (I-V) 7. Graph polynomial, rational, exponential, logarithmic, power, absolute value, piecewise-defined, and trigonometric functions. (I-V) 8. Perform operations, including compositions, on functions and state the domain of the resulting function. (I-V) 9. Solve polynomial, rational, exponential, logarithmic, and trigonometric equations analytically and graphically. (I-V) 10. Use transformations to graph functions. (I-V) 11. Communicate process and results in written and verbal format. (I-IX) 12. Compare alternative solution strategies. (I-IX) 13. Justify and interpret solutions to application problems. (I-IX) 14. Model and solve real-world problems. (I-IX) 15. Read and interpret quantitative information when presented numerically, analytically, or graphically. (I-IX) 16. Find and evaluate inverse trigonometric functions. (IV-V) 17. Use the definition and properties of trigonometric functions and formulas to solve application problems. (IV-VII) 18. Verify trigonometric identities. (VI)
MCCCD Official Course Competencies must be coordinated with the content outline so that each major point in the outline serves one or more competencies. MCCCD faculty retains authority in determining the pedagogical approach, methodology, content sequencing, and assessment metrics for student work. Please see individual course syllabi for additional information, including specific course requirements.

MCCCD Official Course Outline
I. Behavior and Nature of Functions A. Graphic, numeric, and algebraic representations B. Characteristics of basic functions C. Properties, operations, transformations, and inverses of functions II. Polynomial and Rational Functions A. Polynomial and rational equations B. Graphs of polynomial and rational functions C. Applications III. Exponential and Logarithmic Functions A. Properties of logarithms B. Exponential and logarithmic equations C. Graphs of exponential and logarithmic functions D. Applications IV. Definition and Properties of Trigonometric Functions A. Acute and general angles B. Right-triangle trigonometry C. Graphs of trigonometric functions D. Inverse trigonometric functions E. Applications V. Circular Functions and The Unit Circle A. Radian measure B. Length of an arc C. Area of a sector D. Linear and angular velocity VI. Trigonometric Identities A. Fundamental identities B. Sum and difference identities C. Double-angle identities VII. Trigonometric Formulas A. Law of sines B. Law of cosines C. Applications VIII. Departments must include one or more of the following topics in their courses A. Matrices, including solving systems of three linear equations in three variables. B. Combinatorics C. Sequences and series D. Conics IX. Departments may include one or more of the following topics in their courses A. Complex Numbers (Trigonometric Form of Complex Numbers, DeMoivre`s Theorem, Roots of Complex Numbers) B. Vectors (Definitions, Operations, and Applications) C. Polar Coordinates, Equations and Graphs D. Parametric Equations and Graphs

MCCCD Governing Board Approval Date: 11/27/2012

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.