COURSE INFORMATION SHEET, rev. 09.06.06
COURSE SCHEDULE, rev. 04.16.07
Required Textbook and Equipment
"Precalculus: Graphical, Numerical, Algebraic, 3rd edition," by Demana, Waits, Foley, & Kennedy, Addison Wesley, 2007. On reserve at Virginia Wing Library.
TI-84 calculator
"Advanced Mathematics: Precalculus with Discrete Mathematics and Data Analysis," by Richard G. Brown, Houghton Mifflin Company, 2000.
"Precalculus: A Graphing Approach," by Moyer; Holt, Rinehart, & Winston Publishing, 2006.
Topical Outline
Prerequisites - Chapter P
Real Numbers
Cartesian Coordinate System
Linear Equations and Inequalities
Lines in the Plane
Solving Equations Graphically, Numerically, and Algebraically
Complex Numbers
Solving Inequalities Algebraically and Graphically
Functions and Graphs - Chapter 1
Modeling and Equation Solving
Functions and their Properties
Twelve Basic Functions
Building Functions from Functions
Parametric Relations and Inverses
Graphical Transformations
Modeling with Functions
Polynomial, Power, and Rational Functions - Chapter 2
Linear & Quadratic Functions and Modeling
Power Functions with Modeling
Polynomial Functions of Higher Degree with Modeling
Real Zeros of Polynomial Functions
Complex Zeros and the Fundamental Theorem of Algebra
Graphs of Rational Functions
Solving Equations in One Variable
Solving Inequalities in One Variable
Exponential, Logistic, and Logarithmic Functions - Chapter 3
Exponential and Logistic Functions
Exponential and Logistic Modeling
Logarithmic Functions and their Graphs
Properties of Logarithmic Functions
Equation Solving and Modeling
Mathematics of Finance
Trigonometric Functions - Chapter 4
Angles and their Measure
Trigonometric Functions of Acute Angles
Trigonometry Extended: the Circular Functions
Graphs of Sine and Cosine: Sinusoids
Graphs of Tangent, Cotangent, Secant, and Cosecant
Graphs of Composite Trigonometric Functions
Inverse Trigonometric Functions
Solving Problems with Trigonometry
Analytic Trigonometry - Chapter 5
Fundamental Identities
Proving Trigonometry Identities
Sum and Difference Identities
Multiple-Angle Identities
The Law of Sines
The Law of Cosines
Systems and Matrices - Chapter 7
Solving Systems of Two Equations
Matrix Algebra
Introduction to MATLAB
Cramer's Rule
Partial Fractions - an introduction
Discrete Mathematics - Chapter 9
Basic Combinatorics
Probability
Sequences
Series
Intro to Calculus: Limits, Derivatives & integrals - Chapter 10
Limits & Motion: The Tangent Problem
Limits & Motion: The Area Problem
More on Limits
Numerical Derivatives and Integrals
announcements | syllabus | handouts | exam info | home
last modified 04.16.07
