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Grades 11 - 12

Bundle includes:

- Student Edition
- Student Workbook
- Solutions Manual

For AP* Calculus AB & BC

Nationally recognized author team with expertise on the AP* Calculus Exam

Written specifically for high school students and adheres to guidelines for AP* Calculus AB & BC

Updated exercises and examples to reflect the most current data

Added guidance on the appropriate use of graphing calculators to ensure students make connections among graphical, numerical, and algebraic representations, rather than always relying on technology.

Enhanced teacher support through lesson plans, pacing guides, and point-of-need answers

Solutions to ALL exercises included in the back of the Teacher's Edition

Split the chapter on Techniques of Differentiation into two chapters

Expanded practice on slope fields

Additional AP *Test exam preparation including a Quick Quiz at the end of each chapter

Table of Contents:

Chapter 1 Prerequisites for Calculus

1.1 Lines

1.2 Functions and Graphs

1.3 Exponential Functions

1.4 Parametric Equations

1.5 Functions and Logarithms

1.6 Trigonometric Functions

Chapter 2 Limits and Continuity

2.1 Rates of Change and Limits

2.2 Limits Involving Infinity

2.3 Continuity

2.4 Rates of Change and Tangent Lines

Chapter 3 Derivatives

3.1 Derivative of a Function

3.2 Differentiability

3.3 Rules for Differentiation

3.4 Velocity and Other Rates of Change

3.5 Derivatives of Trigonometric Functions

Chapter 4 More Derivatives

4.1 Chain Rule

4.2 Implicit Differentiation

4.3 Derivatives of Inverse Trigonometric Functions

4.4 Derivatives of Exponential and Logarithmic Functions

Chapter 5 Applications of Derivatives

5.1 Extreme Values of Functions

5.2 Mean Value Theorem

5.3 Connecting* f* and *f *with the Graph of *f*

5.4 Modeling and Optimization

5.5 Linearization and Differentials

5.6 Related Rates

Chapter 6 The Definite Integral

6.1 Estimating with Finite Sums

6.2 Definite Integrals

6.3 Definite Integrals and Antiderivatives

6.4 Fundamental Theorem of Calculus

6.5 Trapezoidal Rule

Chapter 7 Differential Equations and Mathematical Modeling

7.1 Slope Fields and Euler's Method

7.2 Antidifferentiation by Substitution

7.3 Antidifferentiation by Parts

7.4 Exponential Growth and Decay

7.5 Logistic Growth

Chapter 8 Applications of Definite Integrals

8.1 Integral As Net Change

8.2 Areas in the Plane

8.3 Volumes

8.4 Lengths of Curves

8.5 Applications from Science and Statistics

Chapter 9 Sequences, LÃ¢â‚¬â„¢HÃƒÂ´pitalÃ¢â‚¬â„¢s Rule, and Improper Integrals

9.1 Sequences

9.2 LÃ¢â‚¬â„¢HÃƒÂ´pitalÃ¢â‚¬â„¢s Rule

9.3 Relative Rates of Growth

9.4 Improper Integrals

Chapter 10 Infinite Series

10.1 Power Series

10.2 Taylor Series

10.3 Taylor's Theorem

10.4 Radius of Convergence

10.5 Testing Convergence at Endpoints

Chapter 11 Parametric, Vector, and Polar Functions

11.1 Parametric Functions

11.2 Vectors in the Plane

11.3 Polar Functions

Appendixes

A1 Formulas from Precalculus Mathematics

A2 Mathematical Induction

A3 Using the Limit Definition

A4 Proof of the Chain Rule

A5 Conic Sections

A6 Hyperbolic Functions

A7 A Brief Table of Integrals

Glossary