Precalculus
Revised: November 2006 (Shan Manickam)
Course Description
Functions using equations, graphs, and numerical data; linear, exponential, logarithmic, trigonometric, polynomial, and rational functions; transformations, compositions, inverses, and combinations of functions; trigonometry with identities. Prerequisite: 130 or placement. (Four semester hours)
Objectives
1. To enhance the student's understanding of functions, and to interpret functions
numerically, graphically, and algebraically.
2. To expose students to different functional models, including linear, exponential,
logarithmic, polynomial, and trigonometric models.
3. To give students the necessary background in algebra and trigonometry for the
calculus sequence.
Text
Connally, Hughes-Hallett, Gleason, et.al. Functions Modeling Change: A Preparation for Calculus, (second edition). John Wiley and Sons, New York, 2004.
Grading Procedure
Grading procedures and factors influencing course grade are left to the discretion of individual instructors, subject to general university policy.
Attendance Policy
Attendance policy is left to the discretion of individual instructors, subject to general university policy.
Graphics Calculator Requirement
TI-83 is required.
Course Outline
-
Chapter 1 Functions And Change
All Sections. (8 days) -
Chapter 2 Functions, Quadratics and Concavity
Sections 2.1 - 2.4 (5 days) -
Chapter 3 Exponential Functions
Sections 3.1, 3.2, and 3.4 (5 days) -
Chapter 4 Logarithmic Functions
Sections 4.1 - 4.3 (6 days) -
Chapter 5 Transformations of Functions and Their Graphs
All Sections. (6 days) -
Chapter 6 Trigonometric Functions
Sections 6.2 - 6.7 (11 days) -
Chapter 7 Trigonometry
Sections 7.1 - 7.2 (and if time permits 7.3) (3 days) -
Chapter 8 Compositions, Inverses, and Combinations of Functions
Sections 8.1 - 8.2 (4 days) -
Chapter 9 Polynomial and Rational Functions
Section 9.2 (2 days)
* Note: At appropriate places in this course, time should be allotted to elaborate on the historical aspects relevant to the subject.