Chapter 1

Prerequisites For Calculus

1.1 Lines Quick review p.9
Exercises p.9
1.2 Functions and Graphs Quick Review p.18
Exercise p.19
1.3 Exponential Functions Exercises p.26
Quick Review p.26
Quick Quiz for AP* Preparation: Sections 1.1 - 1.3 p.29
1.4 Parametric Equations Exercises p.34
Quick Review p.34
1.5 Functions and Logarithms Quick Review p.43
Exercises p.44
1.6 Trigonometric Functions Exercises p.52
Quick Review 1.6 p.52
Quick Quiz for AP* Preparation: Section 1.4-1.6 p.55
Chapter 1 Review Exercises p.56

Chapter 2

Limits And Continuity

2.1 Rates of Change and Limits Quick Review p.65
Exercises p.66
2.2 Limits Involving Infinity Quick Review p.75
Exercises p.76
Quick Quiz for AP* Preparation: Section 2.1 and 2.2 p.77
2.3 Continuity Quick Review p.84
Exercises p.84
2.4 Rates of Change and Tangent Lines Exercises p.92
Quick Review p.92
Quick Quiz for AP* Preparation: Section 2.3 and 2.4 p.94
Review Exercises p.95

Chapter 3

Derivatives

3.1 Derivative of a Function Quick Review p.105
Exercises p.105
3.2 Differentiability Quick Review p.114
Exercises p.114
3.3 Rules for Differentiation Quick Review p.123
Exercises p.124
Quick Quiz for AP* Preparation: Section 3.1-3.3 p.126
3.4 Velocity and Other Rates of Change Quick Review p.135
Exercises p.135
3.5 Derivatives of Trigonometric Functions Exercises p.146
Quick Review p.146
3.6 Chain Rule Exercises p.153
Quick Review p.153
Quick Quiz for AP* Preparation: Section 3.4-3.6 p.156
3.7 Implicit Differentiation Exercises p.162
Quick Review p.162
3.8 Derivatives of Inverse Trigonometric Functions Exercises p.170
3.9 Derivatives of Exponential and Logarithmic Functions Quick Review p.178
Exercises p.178
Quick Quiz for AP* Preparation: Section 3.7-3.9 p.180
Review Exercises p.181

Chapter 4

Applications Of Derivatives

4.1 Extreme Values of Functions Exercises p.193
Quick Review p.193
4.2 Mean Value Theorem Exercises p.202
Quick Review p.202
4.3 Connecting f' and f'' with the Graph of f Quick Review p.214
Exercises p.215
Quick Quiz for AP* Preparation: Section 4.1-4.3 p.218
4.4 Modeling and Optimization Exercises p.226
Quick Review p.226
4.5 Linearization and Newton's Method Exercises p.242
Quick Review p.242
4.6 Related Rates Quick Review p.250
Exercises p.251
Quick Quiz for AP* Preparation: Section 4.4-4.6 p.255
Review Exercises p.256

Chapter 5

The Definite Integral

5.1 Estimating with Finite Sums Quick Review p.269
Exercises p.270
5.2 Definite Integrals Exercises p.282
Quick Review p.282
5.3 Definite Integrals and Antiderivatives Quick Review p.290
Exercises p.290
Quick Quiz for AP* Preparation: Section 5.1-5.3 p.293
5.4 Fundamental Theorem of Calculus Exercises p.302
Quick Review p.302
5.5 Trapezoidal Rule Quick Review p.311
Exercises p.312
Review Exercises p.315
Quick Quiz for AP* Preparation: Section 5.4-5.5 p.315

Chapter 6

Differential Equations And Mathematical Modeling

6.1 Slope Fields and Euler's Method Exercises p.327
Quick Review p.327
6.2 Antidifferentiation by Substitution Quick Review p.337
Exercises p.337
6.3 Antidifferentiation by Parts Quick Review p.346
Exercises p.346
Quick Quiz for AP* Preparation: Section 6.1-6.3 p.349
6.4 Exponential Growth and Decay Quick Review p.357
Exercises p.357
6.5 Logistic Growth Exercises p.369
Quick Review p.369
Quick Quiz for AP* Preparation: Section 6.4 and 6.5 p.372
Review Exercises p.373

Chapter 7

Applications Of Definite Integrals

7.1 Integral As Net Change Quick Review p.385
Exercises p.386
7.2 Areas in the Plane Exercises p.395
Quick Review p.395
7.3 Volumes Quick Review p.405
Exercises p.406
Quick Quiz for AP* Preparation: Section 7.1-7.3 p.411
7.4 Lengths of Curves Quick Review p.415
Exercises p.416
7.5 Applications from Science and Statistics Quick Review p.424
Exercises p.425
Quick Quiz for AP* Preparation: Section 7.4 and 7.5 p.429
Review Exercises p.430

Chapter 8

Sequences, Lhopital's Rule, And Improper Integrals

8.1 Sequences Quick Review p.440
Exercises p.441
8.2 L'Hopital's Rule Exercises p.450
Quick Review p.450
Quick Quiz for AP* Preparation: Section 8.1 and 8.2 p.452
8.3 Relative Rates of Growth Exercises p.457
Quick Review p.457
8.4 Improper Integrals Quick Review p.467
Exercises p.467
Review Exercises p.470
Quick Quiz for AP* Preparation: Section 8.3 and 8.4 p.470

Chapter 9

Infinite Series

9.1 Power Series Exercises p.481
Quick Review p.481
9.2 Taylor Series Quick Review p.492
Exercises p.492
9.3 Taylor's Theorem Quick Review p.500
Exercises p.500
Quick Quiz for AP* Preparation: Section 9.1-9.3 p.502
9.4 Radius of Convergence Quick Review p.510
Exercises p.511
9.5 Testing Convergence at Endpoints Quick Review p.522
Exercises p.523
Quick Quiz for AP* Preparation: Section 9.4 and 9.5 p.525
Review Exercises p.526

Chapter 10

Parametric, Vector, And Polar Functions

10.1 Parametric Functions Exercises p.535
Quick Review p.535
10.2 Vectors in the Plane Quick Review p.545
Exercises p.545
10.3 Polar Functions Quick Review p.557
Exercises p.557
Quick Quiz for AP* Preparation: Section 10.1-10.3 p.559
Review Exercises p.560
Not your textbook? Try these editions (see all)
Calculus: Graphical, Numerical, Algebraic, 4th Edition Calculus: Graphical, Numerical, Algebraic (Finney, Demana, et al), 4th Edition Calculus: Graphical, Numerical, Algebraic , Fifth Edition Calculus: Graphical, Numeric, Algebraic (Finney, Demana, et al), 3rd Edition Calculus: Graphical, Numerical, Algebraic Calculus: A Complete Course, Second Edition

Calculus Q&A

Search or ask your question...

NO MORE ADS!

Upgrade to pro for an ad free experience

There was an error saving. Please reload the page.

Enter your math below

Preview

more about LaTeX helpful editing tips!
Place math
+