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Master Syllabus

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Administrative Unit: Computer and Mathematical Sciences Department
Course Prefix and Number: MATH 180
Course Title: Precalculus
Number of:
Credit Hours 3
Lecture Hours 3
Lab Hours 0
Catalog Description:

Precalculus is a preparatory course for calculus and covers the following topics: algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions; trigonometric equations and trigonometric identities.  Prerequisite: Grade of B or higher in MATH 150, or a score of 24 or higher on the math portion of the ACT or a score of 540 or higher on the math portion of the SAT or a passing score on the Columbia College math placement exam. G.E.

Prerequisite(s) / Corequisite(s):

Grade of B or higher in MATH 150, or a score of 24 or higher on the math portion of the ACT or a score of  540 or higher on the math portion of the SAT or a passing score on the Columbia College math placement exam.

Course Rotation for Day Program: Offered Fall and Spring.
Text(s): Most current editions of the following:

A TI-84 calculator is required for this course. This calculator will be allowed on most assessment opportunities in this course.

Most current editions of the following:

By Stewart, Redlin, & Watson (Cengage)
By Blitzer, R. (Prentice Hall)
Precalculus: Mathematics for Calculus
By Stewart,, Redlin & Watson (Cengage)
Course Objectives

  • To demonstrate fundamental technical skills and clear understanding of the basic concepts of algebraic and transcendental functions.
  • To solve real-world problems using algebraic and transcendental functions.
  • To identify connections between mathematics and other disciplines.
  • To use appropriate technology to enhance their mathematical understanding and solve real-world problems.

    Measurable Learning
    • Determine if a relation is a function.
    • Identify the domain and range of a function.
    • Use the graph of a function to identify characteristics of the function such as symmetry and intervals of increasing, decreasing, and constant behavior.
    • Recognize graphs of common functions and graph transformations of these common functions.
    • Combine functions arithmetically and through composition and identify the domain of the resulting functions.
    • Describe and explain the fundamental concepts associated with inverse functions, including the definition of one-to-one functions and the graphical interpretation of inverses. 
    • Simplify rational, complex rational and radical expressions
    • Add, subtract, multiply and divide rational and radical expressions.
    • Solve equations with rational and radical expressions. *Solve polynomial equations including those with complex roots. *Define, evaluate and graph trigonometric functions. *Know the basic trigonometric identities , addition formulas, double angle formulas, and half-angle formulas for the sine and cosine functions. *Solve basic trigonometric equations. *Simplify exponential and logarithmic expressions and solve exponential and logarithmic equations. *Solve applied problems using exponential and logarithmic functions.
    Topical Outline:
    • Functions
    • Polynomial functions
    • Rational functions and expressions
    • Radical functions and expressions
    • Trigonometric functions
    • Exponential and logarithmic functions

    Recommended maximum class size for this course: 30

    Library Resources:

    Online databases are available at You may access them from off-campus using your CougarTrack login and password when prompted.

    Prepared by: Nataliya Latushkina Date: November 6, 2013
    NOTE: The intention of this master course syllabus is to provide an outline of the contents of this course, as specified by the faculty of Columbia College, regardless of who teaches the course, when it is taught, or where it is taught. Faculty members teaching this course for Columbia College are expected to facilitate learning pursuant to the course objectives and cover the subjects listed in the topical outline. However, instructors are also encouraged to cover additional topics of interest so long as those topics are relevant to the course's subject. The master syllabus is, therefore, prescriptive in nature but also allows for a diversity of individual approaches to course material.

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