9781285775913

Larson Calculus of a Single Variable: Early Transcendental Functions (AP Edition)

Bruce H. Edwards, Larson

1.1

Graphs and Models

Exercises

p.8

1.2

Linear Models and Rates of Change

Exercises

p.16

1.3

Functions and Their Graphs

Exercises

p.27

1.4

Fitting Models to Data

Exercises

p.34

1.5

Inverse Functions

Exercises

p.44

1.6

Exponential and Logarithmic Functions

Exercises

p.53

Review Exercises

p.56

P.S. Problem Solving

p.59

3.1

The Derivative and the Tangent Line Problem

Exercises

p.123

3.2

Basic Differentiation Rules and Rates of Change

Exercises

p.135

3.3

Product and Quotient Rules and Higher-Order Derivatives

Exercises

p.146

3.4

The Chain Rule

Exercises

p.160

3.5

Implicit Differentiation

Exercises

p.171

3.6

Derivatives of Inverse Functions

Exercises

p.178

3.7

Related Rates

Exercises

p.186

3.8

Newton's Method

Exercises

p.194

Review Exercises

p.196

4.1

Extrema on an Interval

Exercises

p.207

4.2

Rolle's Theorem and the Mean Value Theorem

Exercises

p.214

4.3

Increasing and Decreasing Functions and the First Derivative Test

Exercises

p.223

4.4

Concavity and the Second Derivative Test

Exercises

p.232

4.5

Limits at Infinity

Exercises

p.242

4.6

A Summary of Curve Sketching

Exercises

p.253

4.7

Optimization Problems

Exercises

p.262

4.8

Differentials

Exercises

p.272

Review Exercises

p.274

5.1

Antiderivatives and Indefinite Integration

Exercises

p.287

5.2

Area

Exercises

p.299

5.3

Riemann Sums and Definite Integrals

Exercises

p.309

5.4

The Fundamental Theorem of Calculus

Exercises

p.324

5.5

Integration by Substitution

Exercises

p.337

5.6

Numerical Integration

Exercises

p.346

5.7

The Natural Logarithmic Function: Integration

Exercises

p.354

5.8

Inverse Trigonometric Functions: Integration

Exercises

p.362

5.9

Hyperbolic Functions

Exercises

p.372

Review Exercises

p.375

6.1

Slope Fields and Euler's Method

Exercises

p.385

6.2

Differential Equations: Growth and Decay

Exercises

p.394

6.3

Differential Equations: Separation of Variables

Exercises

p.405

6.4

The Logistic Equations

Exercises

p.414

6.5

First-Order Linear Differential Equations

Exercises

p.420

6.6

Predator-Prey Differential Equations

Exercises

p.428

Review Exercises

p.430

7.1

Area of a Region Between Two Curves

Exercises

p.442

7.2

Volume: The Disk Method

Exercises

p.453

7.3

Volume: The Shell Method

Exercises

p.462

7.4

Arc Length and Surfaces of Revolution

Exercises

p.473

7.5

Work

Exercises

p.483

7.6

Moments Centers of Mass, and Centroids

Exercises

p.494

7.7

Fluid Pressure and Fluid Force

Exercises

p.501

Review Exercises

p.503

8.1

Basic Integration Rules

Exercises

p.512

8.2

Integration by Parts

Exercises

p.521

8.3

Trigonometric Integrals

Exercises

p.530

8.4

Trigonometric Substitution

Exercises

p.539

8.5

Partial Fractions

Exercises

p.549

8.6

Integration by Tables and Other Integration Techniques

Exercises

p.555

8.7

Indeterminate Forms and L'Hopital's Rule

Exercises

p.564

8.8

Improper Integrals

Exercises

p.575

Review Exercises

p.579

9.1

Sequences

Exercises

p.592

9.2

Series and Convergence

Exercises

p.601

9.3

The Integral Test and p-Series

Exercises

p.609

9.4

Comparisons of Series

Exercises

p.616

9.5

Alternating Series

Exercises

p.625

9.6

The Ratio and Root Tests

Exercises

p.633

9.7

Taylor Polynomials and Approximations

Exercises

p.644

9.8

Power Series

Exercises

p.654

9.9

Representation of Functions by Power Series

Exercises

p.662

9.10

Taylor and Maclaurin Series

Exercises

p.673

Review Exercises

p.676

10.1

Conics and Calculus

Exercises

p.692

10.2

Plane Curves and Parametric Equations

Exercises

p.703

10.3

Parametric Equations and Calculus

Exercises

p.711

10.4

Polar Coordinates and Polar Graphs

Exercises

p.722

10.5

Area and Arc Length in Polar Coordinates

Exercises

p.731

10.6

Polar Equations of Conics and Kepler's Laws

Exercises

p.739

Review Exercises

p.742

Problem Solving

p.745