McGraw Hill Glencoe Precalculus, 2010

0

Chapter 0

Preparing for Precalculus

1

Chapter 1

Functions from a Calculus Perspective

2

Chapter 2

Power, Polynomial and Rational Functions

3

Chapter 3

Exponential and Logarithmic Functions

4

Chapter 4

Trigonometric Functions

5

Chapter 5

Trigonometric Identities and Equations

6

Chapter 6

Systems of Equations and Matrices

7

Chapter 7

Conic Sections and Parametric Equations

8

Chapter 8

Vectors

9

Chapter 9

Polar Coordinates and Complex Numbers

10

Chapter 10

Sequences and Series

11

Chapter 11

Inferential Statistics

12

Chapter 12

Limits and Derivatives

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Links expand_more

Preparing for Precalculus

• Pretest
• Sets
• Operations with Complex Numbers
• Quadratic Functions and Equations
• nth Roots and Real Exponents
• Systems of Linear Equations and Inequalities
• Matrix Operations
• Probability with Permutations and Combinations
• Statistics
• Posttest

Functions from a Calculus Perspective

• Get Ready for the Chapter
• Functions
• Analyzing Graphs of Functions and Relations
• Continuity, End Behavior, and Limits
• Extrema and Average Rates of Change
• Mid-Chapter Quiz
• Parent Functions and Transformations
• Extend: Graphing Technology Lab, Nonlinear Inequalities
• Function Operations and Composition of Functions
• Inverse Relations and Functions
• Extend: Graphing Technology Lab Graphing Inverses using Parametric Equations
• Study Guide and Review
• Practice Test
• Connect to AP Calculus: Rate of Change at a Point

Power, Polynomial and Rational Functions

• Get Ready for the Chapter
• Power and Radical Functions
• Explore: Graphing Technology Lab Behavior of Graphs
• Polynomial Functions
• Extend: Graphing Technology Lab, Hidden Behavior of Graphs
• The Remainder and Factor Theorems
• Mid-Chapter Quiz
• Zeros of Polynomial Functions
• Rational Functions
• Nonlinear Inequalities
• Study Guide and Review
• Practice Test
• Connect to AP Calculus: Area Under a Curve

Exponential and Logarithmic Functions

• Get Ready for the Chapter
• Exponential Functions
• Extend: Graphing Technology Lab, Financial Literacy: Exponential Functions
• Logarithmic Functions
• Properties of Logarithms
• Mid-Chapter Quiz
• Exponential and Logarithmic Equations
• Extend: Graphing Technology Lab, Solving Exponential and Logarithmic Inequalities
• Modeling with Nonlinear Regression
• Study Guide and Review
• Practice Test
• Connect to AP Calculus: Approximating Rates of Change

Trigonometric Functions

• Get Ready for the Chapter
• Right Triangle Trigonometry
• Degrees and Radians
• Trigonometric Functions on the Unit Circle
• Explore: Graphing Technology Lab, Graphing the Sine Function Parametrically
• Graphing Sine and Cosine Functions
• Extend: Graphing Technology Lab, Sums and Differences of Sinusoids
• Mid-Chapter Quiz
• Graphing Other Trigonometric Functions
• Inverse Trigonometric Functions
• The Law of Sines and the Law of Cosines
• Study Guide and Review
• Practice Test
• Connect to AP Calculus: Related Rates

Trigonometric Identities and Equations

• Get Ready for the Chapter
• Trigonometric Identities
• Verifying Trigonometric Identities
• Solving Trigonometric Equations
• Extend: Graphing Technology Lab, Solving Trigonometric Inequalities
• Mid-Chapter Quiz
• Sum and Difference Identities
• Extend: Graphing Technology Lab, Reduction Identities
• Multiple-Angle and Product-to-Sum Identities
• Study Guide and Review
• Practice Test
• Connect to AP Calculus: Rates of Change for Sine and Cosine

Systems of Equations and Matrices

• Get Ready for the Chapter
• Multivariable Linear Systems and Row Operations
• Matrix Multiplication, Inverses, and Determinants
• Extend: Graphing Technology Lab, Determinants and Areas of Polygons
• Solving Linear Systems using Inverses and Cramer's Rule
• Extend: Graphing Technology Lab, Matrices and Cryptography
• Mid-Chapter Quiz
• Partial Fractions
• Linear Optimization
• Study Guide and Review
• Practice Test
• Connect to AP Calculus: Nonlinear Optimization

Conic Sections and Parametric Equations

• Get Ready for the Chapter
• Parabolas
• Ellipses and Circles
• Hyperbolas
• Mid-Chapter Quiz
• Rotations of Conic Sections
• Extend: Graphing Technology Lab, Systems of Nonlinear Equations and Inequalities
• Parametric Equations
• Extend: Graphing Technology Lab, Modeling with Parametric Equations
• Study Guide and Review
• Practice Test
• Connect to AP Calculus: Solids of Revolution

Vectors

• Get Ready for the Chapter
• Introduction to Vectors
• Vectors in the Coordinate Plane
• Dot Products and Vector Projections
• Mid-Chapter Quiz
• Vectors in Three-Dimensional Space
• Extend: Graphing Technology Lab, Vector Transformations with Matrices
• Dot and Cross Products of Vectors in Space
• Study Guide and Review
• Practice Test
• Connect to AP Calculus: Vector Fields

Polar Coordinates and Complex Numbers

• Get Ready for the Chapter
• Polar Coordinates
• Explore: Graphing Technology Lab, Investigate Graphs of Polar Equations
• Graphs of Polar Equations
• Polar and Rectangular Forms of Equations
• Mid-Chapter Quiz
• Polar Forms of Conic Sections
• Complex Numbers and DeMoivre's Theorem
• Study Guide and Review
• Practice Test
• Connect to AP Calculus: Arc Length

Sequences and Series

• Get Ready for the Chapter
• Sequences, Series, and Sigma Notation
• Arithmetic Sequences and Series
• Geometric Sequences and Series
• Extend: Graphing Technology Lab, Continued Fractions
• Mid-Chapter Quiz
• Mathematical Induction
• The Binomial Theorem
• Functions as Infinite Series
• Extend: Spreadsheet Lab, Detecting Patterns in Data
• Study Guide and Review
• Practice Test
• Connect to AP Calculus: Riemann Sum

Inferential Statistics

• Get Ready for the Chapter
• Descriptive Statistics
• Probability Distributions
• The Normal Distribution
• Extend: Graphing Technology Lab, Transforming Skewed Data
• The Central Limit Theorem
• Mid-Chapter Quiz
• Confidence Intervals
• Hypothesis Testing
• Correlation and Linear Regression
• Extend: Graphing Technology Lab, Median-Fit Lines
• Study Guide and Review
• Practice Test
• Connect to AP Calculus: Population Proportions

Limits and Derivatives

• Get Ready for the Chapter
• Estimating Limits Graphically
• Evaluating Limits Algebraically
• Explore: Graphing Technology Lab, The Slope of a Curve
• Tangent Lines and Velocity
• Mid-Chapter Quiz
• Derivatives
• Area Under a Curve and Integration
• The Fundamental Theorem of Calculus
• Study Guide and Review
• Practice Test
• Connect to AP Calculus: The Chain Rule