Notes

Precalculus Notes

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Chapter #

Chapter Topic

P

Prerequisites

P.1	Real Numbers and Their Properties
P.2	Integral Exponents and Scientific Notation Rational Exponents and Radicals
P.3	Polynomials and Special Products
P.4	Factoring Polynomials
P.5	Rational Expressions
P.6	Errors and the Algebra of Calculus
P.7	Graphical Representation of Data

1

Equations and Inequalities

1.1	Graphs of Relations and Functions
1.2	Equations in One Variable
1.3	Constructing Models to Solve Problems
1.4	Equations and Graphs in Two Variables Quadratic Equations
1.5	Complex Numbers
1.6	Other Types of Equations
1.7-8	Linear and Absolute Value Inequalities

2

Functions and Their Graphs

2.1	Linear Equations in Two Variables
2.2	Functions
2.3	Analyze Graphs of Functions
2.4	A Library of Functions
2.5-6	Shifting, Reflecting, and Stretching Graphs
2.7	Inverse Functions

3

Polynomial Functions

3.1	Quadratic Functions and Inequalities
3.2	Polynomial Functions of Higher Degree
3.3	Polynomial Functions and Synthetic Division
3.4	Zeros of Polynomial Functions
3.5	Mathematical Modeling

4

Rational Functions

4.1	Rational Functions and Asymptotes
4.2	Graphs of Rational Functions
4.3	Partial Fractions

5

Exponential and Logarithmic Functions

5.1	Exponential Functions and Their Applications
5.2	Logarithmic Functions and Their Applications
5.3	Rules of Logarithms
5.4	More Equations and Applications

6

Trigonometry Outline

T.1	Roots in Geometry
T.2	Angles and Trigonometric Ratios
T.3	Radians and Special Angles
T.4	The Unit Circle and Behavior Charts
T.5	More on Behavior Charts
T.6	New Trig Functions, Trig Identities
T.7	More Identities
T.8	Proving Identities, Trig Graphs