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Calculus AP Advanced Placement Bundle/Kit

  • Manufactured by: PEARSON EDUCATION

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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, L’Hôpital’s Rule, and Improper Integrals
9.1 Sequences
9.2 L’Hôpital’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
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