NOTE: The following information was taken from the Fall 2000 Math 117 course syllabus. It is intended to serve as a reference only. This material may change from semester to semester.

Text:	Precalculus Understanding Functions by Goodman & Hirsch Brooks/Cole Thomson Learning NOTE: A graphing calculator (TI-83 is recommended) is required for this course
Course Content:	This course is designed to prepare you for Math 241 Analytical Geometry and Calculus A. This course will focus on algebraic skills and understanding of mathematical concepts found in Math 010 Intermediate Algebra, Math 115 Precalculus as well as additional topics required for Math 241.
Final Exam	Sample M117 Final Exam (requires the free Acrobat Reader software installed)

Sections and Topics Covered:
Chapter 1	Algebra: The Fundamentals
1.1	The Real Numbers
1.2	Operations with Real Numbers
1.3	Polynomials and Rational Expressions
1.4	Exponents and Radicals
1.6	First Degree Equations and Inequalities in One Variable
1.7	Absolute Value Equations and Inequalities
1.8	Quadratic Equations and Equations in Quadratric Form
1.9	Quadratic and Rational Inequalities
1.10	Substitution
Chapter 2	Functions and Graphs: Part I
2.1	The Cartesian Coordinate System: Graphing Straight Lines and Equations of Circles
2.2	Slope
2.3	Equations of a Line
2.4	Relations and Functions
2.5	Function Notation
2.6	Relating Functions to Their Graphs
2.7	Introduction to Graph Sketching: Symetry
Chapter 3	Functions and Graphs: Part II
3.1	Basic Graphing Principles
3.2	More Graphing Principles; Types of Functions
3.3	Extracting Functions from "Real Life" Situations
3.4	Quadratic Functions
3.5	Operations On Functions
3.6	Inverse Functions
Chapter 4	Polynomial, Rational, and Radical Functions
4.1	Polynomial Functions
4.2	More Polynomial Functions and Mathematical Models
4.3	Division of Polynomials and Synthetic Division
4.4	Roots of Polynomial Equations: The Factor, Remainder, and Rational Root Theorems
4.5	Rational Functions
4.6	Radical Functions
Chapter 5	Exponential Functions
5.1	Exponential Functions
5.2	Logarithmic Functions
5.3	Properties of Logarithms; Logarithmic Equations
5.4	Common and Natural Logarithms; Exponential Equations and Change of Base
5.5	Applications
Chapter 6	Trigonometry
6.1	Angle Measurement and Two Special Triangles
6.2	The Trigonometric Functions of a General Angle
6.3	Right Triangle Trigonometry and Applications
6.4	The Trigonometric Functions as Functions of Real Numbers
Chapter 7	The Trigonometric Functions
7.1	The Sine and Cosine Functions and Their Graphs
7.2	The Tangent, Secant, Cosecant, and Cotangent Functions and Their Graphs
7.3	Basic Identities
7.4	Trigonometric Equations
7.5	The Inverse Trigonometric Functions
Chapter 8	More Trigonometry and Its Applications
8.1	The Addition Formulas
8.2	The Double-Angle and Half-Angle Formula
8.3	The Law of Sines and the Law of Cosines
Chapter 9	Systems of Equations and Inequalities
9.1	Elimination and Substitution: 2 X 2 Linear Systems
Chapter 10	The Conic Sections
10.7	Non-Linear Systems of Equations and Inequalities
Chapter 11	Sequences and Series and Related Topics
11.1	Sequences
11.2	Series and Sigma Notation

©2004, Department of Mathematical Sciences
Last Modified: October 13, 2004
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