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McGraw Hill Glencoe Precalculus with applications, 2005

Chapter 1

Linear Relations and Functions

Relations and Functions
Composition of Functions
Graphing Linear Equations
Analyzing Families of Linear Graphs
Writing Linear Equations
Writing Equations of Parallel and Perpendicular Lines
Modeling Real-World Data with Linear Functions
Piecewise Functions
Graphing Linear Inequalities
Study Guide and Assessment
SAT and ACT Preparation

Chapter 2

System of Linear Equations and Inequalities

Solving Systems of Equations in Two Variables
Solving Systems of Equations in Three Variables
Modeling Real-World Data with Matrices
Transformation Matrices
Modeling Motion with Matrices
Determinants and Multiplicative Inverses of Matrices
Argumented Matrices and Reduced Row-Echelon Form
Solving Systems of Linear Inequalities
Linear Programming
Study Guide and Assessment
SAT and ACT Preparation

Chapter 3

The Nature of Graphs

Symmetry and Coordinate Graphs
Families of Graphs
Graphs of Nonlinear Inequalities
Inverse Functions and Relations
Continuity and End Behavior
Gap Discontinuities
Critical Points and Extrema
Graphs of Rational Functions
Direct, Inverse, and Joint Variation
Study Guide and Assessment
SAT and ACT Preparation

Chapter 4

Polynomial and Rational Functions

Polynomial Functions
Quadratic Equations
The Remainder and Factor Theorems
The Rational Root Theorem
Locating Zeros of a Polynomial Function
Rational Equations and Partial Fractions
Radical Equations and Inequalities
Modeling Real-World Data with Polynomial Functions
Fitting a Polynomial Function to a set of Points
Study Guide and Assessment
SAT and ACT Preparation

Chapter 5

The Trigonometric Functions

Angles and Degree Measure
Trigonometric Ratios in Right Triangles
Trigonometric Functions on the Unit Circle
Applying Trigonometric Functions
Solving Right Triangles
The Law of Sines
The Ambiguous Case for the Law of Sines
The Law of Cosines
Solving Triangles
Study Guide and Assessment
SAT and ACT Preparation

Chapter 6

Graphs of Trigonometric Functions

Angles and Radian Measure
Linear and Angular Velocity
Graphing Sine and Cosine Functions
Amplitude and Period of Sine and Cosine Functions
Translations of Sine and Cosine Functions
Modeling Real-World Data with Sinusoidal Functions
Graphing Other Trigonometric Functions
Sound Beats
Trigonometric Inverses and Their Graphs
Study Guide and Assessment
SAT and ACT Preparation

Chapter 7

Trigonometric Identities and Equations

Basic Trigonometric Identities
Verifying Trigonometric Identities
Sum and Difference Identities
Reduction Identities
Double-Angle and Half-Angle Identities
Solving Trigonometric Equations
Normal Form of a Linear Equation
Distance From a Point to a Line
Study Guide and Assessment
SAT and ACT Preparation

Chapter 8

Vectors and Parametric Equations

Geometric Vectors
Algebraic Vectors
Vectors in Three-Dimensional Space
Perpendicular Vectors
Finding Cross Products
Applications with Vectors
Vectors and Parametric Equations
Modeling with Parametric Equations
Modeling Motion Using Parametric Equations
Transformation Matrices in Three-Dimensional Space
Study Guide and Assesment
SAT and ACT Preparation

Chapter 9

Polar Coordinates and Complex Numbers

Polar Coordinates
Graphs of Polar Equations
Polar and Rectangular
Polar Form of Linear Equation
Simplifying Complex Numbers
The Complex Plane and Polar Form of Complex Numbers
Geometry in the Complex Plane
Products and Quotuents of Complex Numbers in Polar Form
Powers and Roots of Complex Numbers
Study Guide and Assessment
SAT and ACT Preparation

Chapter 10

Conics

Introduction to Analytic Geometry
Circles
Ellipses
Hyperbolas
Parabolas
Rectangular and Parametric Forms of Conic Sections
Transformations of Conics
Systems of Second-Degree Equations and Inequalities
Shading Areas on a Graph
Study Guide and Assessment
SAT and ACT Preparation

Chapter 11

Exponential and Logarithmic Functions

Real Exponents
Exponential Functions
The Number e
Logarithmic Functions
Common Logarithms
Natural Logarithms
Natural Logarithms and Area
Modeling Real-World Data with Experimental and Logarithmic Functions
Study Guide and Assessment
SAT and ACT Preparation

Chapter 12

Sequences and Series

Arithmetic Sequences and Series
Geometric Sequences and Series
Infinite Sequences and Series
Continued Fractions
Convergent and Divergent Series
Sigma Notation and the n-th Term
The Binomial Theorem
Special Sequences and Series
Sequences and Iteration
Mathematical Induction
Study Guide and Assessment
SAT and ACT Preparation

Chapter 13

Combinatorics and Probability

Permutations and Combinations
Permutations with Repetitions and Circular Permutations
Probablility and Odds
Probabilities of Compound Events
Conditional Probability
The Binomial Theorem and Probability
Study Guide and Assessment
SAT and ACT Preparation

Chapter 14

Statistics and Data Analysis

The Frequency Distribution
Measures of Central Tendency
Measures of Variability
The Normal Distribution
The Standard Normal Curve
Sample Sets of Data
Study Guide and Assessment
SAT and ACT Preparation

Chapter 15

Calculus

Limits
The Slope of a Curve
Derivatives and Antiderivatives
Area Under a Curve
The Fundamental Theorem of Calculus
Study Guide and Assessment
SAT and ACT Preparation

Chapter

Extra Practice

Chapter

Chapter Tests

Chapter 1 Test
Chapter 2 Test
Chapter 3 Test
Chapter 4 Test
Chapter 5 Test
Chapter 6 Test
Chapter 7 Test
Chapter 8 Test
Chapter 9 Test
Chapter 10 Test
Chapter 11 Test
Chapter 12 Test
Chapter 13 Test
Chapter 14 Test
Chapter 15 Test