ISBN-10:
0076602184
ISBN-13:
9780076602186
Pub. Date:
11/22/2010
Publisher:
McGraw-Hill Professional Publishing
Precalculus, Student Edition / Edition 2

Precalculus, Student Edition / Edition 2

by McGraw-Hill
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Overview

Includes: Print Student Edition

Product Details

ISBN-13: 9780076602186
Publisher: McGraw-Hill Professional Publishing
Publication date: 11/22/2010
Series: ADVANCED MATH CONCEPTS Series
Pages: 1072
Sales rank: 618,076
Product dimensions: 8.60(w) x 11.00(h) x 1.60(d)
Age Range: 16 - 17 Years

About the Author

McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide

Table of Contents

Chapter 0 Preparing for Precalculus
0-1 Sets
0-2 Operations with Complex Numbers
0-3 Quadratic Functions and Equations
0-4 nth Roots and Real Exponents
0-5 Systems of Linear Equations and Inequalities
0-6 Matrix Operations
0-7 Probability with Permutations and Combinations
0-8 Statistics
Chapter 1 Functions from a Calculus Perspective
1-1 Functions
1-2 Analyzing Graphs of Function and Relations
1-3 Continuity, End Behavior, and Limits
1-4 Extrema and Average Rates of Change
1-5 Parent Functions and Transformations
Extend 1-5 Graphing Technology Lab: Nonlinear Inequalities
1-6 Function Operations and Composition of Functions
1-7 Inverse Relations and Functions
Extend 1-7 Graphing Technology Lab: Graphing Inverses Using Parametric Equations
Chapter 2 Power, Polynomials, and Rational Functions
2-1 Power and Radical Functions
Explore 2-2 Graphing Technology Lab: Behavior and Graphs
2-2 Polynomial Functions
Extend 2-2 Graphing Technology Lab: Hidden Behavior in Graphs
2-3 The Remainder and Factor Theorems
2-4 Zeros of Polynomial Functions
2-5 Rational Functions
2-6 Nonlinear Inequalities
Chapter 3 Exponential and Logarithmic Functions
3-1 Exponential Functions
Extend 3-1 Graphing Technology Lab: Financial Literacy: Exponential Functions
3-2 Logarithmic Functions
3-3 Properties of Logarithms
3-4 Exponential and Logarithmic Equations
Extend 3-4 Graphing Technology Lab: Exponential and Logarithmic Inequalities
3-5 Modeling with Nonlinear Regression
Chapter 4 Trigonometric Functions
4-1 Right Triangle Trigonometry
4-2 Degrees and Radians
4-3 Trigonometric Functions on the Unit Circle
Explore 4-4 Graphing Technology Lab: Graphing the Sine Function Parametrically
4-4 Graphing Sine and Cosine Functions
Extend 4-4 Graphing Technology Lab: Sums and Differences of Sinusoids
4-5 Graphing Other Trigonometric Functions
4-6 Inverse Trigonometric Functions
4-7 The Law of Sines and the Law of Cosines
Chapter 5 Trigonometric Identities and Equations
5-1 Trigonometric Identities
5-2 Verifying Trigonometric Identities
5-3 Solving Trigonometric Equations
Extend 5-3 Graphing Technology Lab: Solving Trigonometric Inequalities
5-4 Sum and Difference Identities
Extend 5-4 Graphing Technology Lab: Reduction Identities
5-5 Multiple-Angle and Product-to-Sum Identities
Chapter 6 Systems of Equations and Matrices
6-1 Multivariable Linear Systems and row Operations
6-2 Matrix Multiplication, Inverses, and Determinants
Extend 6-2 Graphing Technology Lab: Determinants and Areas of Polygons
6-3 Solving Linear Systems Using Inverses and Cramer’s Rule
Extend 6-3 Graphing Technology Lab: Matrices and Cryptography
6-4 Partial Fractions
6-5 Linear Optimization
Chapter 7 Conic Sections and Parametric Equations
7-1 Parabolas
7-2 Ellipses and Circles
7-3 Hyperbolas
7-4 Rotations of Conic Sections
Extend 7-4 Graphing Technology Lab: Systems of Nonlinear Equations and Inequalities
7-5 Parametric Equations
Extend 7-5 Graphing Technology Lab: Modeling with Parametric Equations
Chapter 8 Vectors
8-1 Introduction to Vectors
8-2 Vectors in the Coordinate Plane
8-3 Dot Products and Vector Projections
8-4 Vectors in Three-Dimensional Space
Extend 8-4 Graphing Technology Lab: Vector Transformations with Matrices
8-5 Dot and Cross Products of Vectors in Space
Chapter 9 Polar Coordinates and Complex Numbers
9-1 Polar Coordinates
Extend 9-1 Graphing Technology Lab: Investigate Graphs of Polar Equations
9-2 Graphs of Polar Equations
9-3 Polar and Rectangular Forms of Equations
9-4 Polar Forms of Conic Sections
9-5 Complex Numbers and De Moivre’s Theorem
Chapter 10 Sequences and Series
10-1 Sequences, Series, and Sigma Notation
10-2 Arithmetic Sequences and Series
10-3 Geometric Sequences and Series
Extend 10-3 Graphing Technology Lab: Continues Fractions
10-4 Mathematical Induction
10-5 The Binomial Theorem
10-6 Functions as infinite Series
Extend 10-6 Spreadsheet Lab: Detecting Patterns in Data
Chapter 11 Inferential Statistics
11-1 Descriptive Statistics
11-2 Probability Distributions
11-3 The Normal Distribution
Extend 11-3 Graphing Technology Lab: Transforming Skewed Data
11-4 The Central Limit Theorem
11-5 Confidence Intervals
11-6 Hypothesis Testing
11-7 Correlations and Linear Regression
Extend 11-7 Graphing Technology Lab: Median-Fit Lines
Chapter 12 Limits and Derivatives
12-1 Estimating Limits Graphically
12-2 Evaluating Limits Algebraically
Explore12-3 Graphing Technology Lab: The Slope of a Curve
12-3 Tangent Lines and Velocity
12-4 Derivatives
12-5 Area Under a Curve and Integration
12-6 The fundamental Theorem of Calculus

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