MTH 1320 - Precalculus

Precalculus - Custom Edition for Baylor University , 2nd edition

Michael Sullivan

Pearson Prentice Hall

A TI-89 calculator is strongly recommended for this course.

GRAPHS

The Distance and Midpoint Formulas
Graphs of Equations in 2 Variables; Intercepts: Symmetry
Lines

FUNCTIONS AND THEIR GRAPHS

Functions
The Graph of a Function
Properties of Functions
Library of Functions; Piecewise-defined Functions
Graphing Techniques; Transformations
Mathematical Models

LINEAR AND QUADRATIC FUNCTIONS

Linear Functions and their Properties
Building Linear Functions from Data
Quadratic Functions and their Properties
Quadratic Models
Inequalities Involving Quadratic Models


POLYNOMIAL AND RATIONAL FUNCTIONS

Polynomial Functions and Models
Properties of Rational Functions
The Graph of a Rational Function
Polynomial and Rational Inequalities

EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Composite Functions
Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Logarithmic and Exponential Functions
Compound Interest
Exponential Growth and Decay Models

TRIGONOMETRIC FUNCTIONS

Angles and Their Measure
Trigonometric Functions: Unit Circle Approach
Properties of Trigonometric Functions
Graphs of the Sine and Cosine Functions
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Phase Shift: Sinusoidal Curve Fitting

ANALYTIC TRIGONOMETRY

The Inverse Trigonometric Functions
Trigonometric Identities
Sum and Difference Formulas
Double-angle Formulas
Trigonometric Equations

APPLICATIONS OF TRIGONOMETRIC FUNCTIONS INVOLVING RIGHT TRIANGLES