Stewart Calculus 7E Early Trans

ISBN:
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Chapter 1 Functions and Models

Chapter 2 Limits and Derivatives

2.1 The Tangent and Velocity Problems

Exercises

23

p.86

2.2 The Limit of a Function

Exercises

35

p.96

2.3 Calculating Limits Using the Limit Laws

Exercises

32

p.106

2.4 The Precise Definition of a Limit

Exercises

p.116

2.5 Continuity

Exercises

23

p.127

2.6 Limits at Infinity, Horizontal Asymptotes

Exercises

28

p.140

2.7 Derivatives of Rates of Change

Exercises

24

p.150

2.8 The Derivative as a Function

Exercises

32

p.162

Chapter 3 Differentiation Rules

3.1 Derivatives of Polynomial and Exponential Functions

Exercises

43

p.181

3.2 The Product and Quotient Rules

Exercises

16

p.189

3.3 Derivatives of Trigonometric Functions

Exercises

43

p.197

3.4 Chain Rule

Exercises

41

p.205

3.5 Implicit Differentiation

Exercises

50

p.215

3.6 Derivatives of Logarithmic Functions

Exercises

37

p.223

3.7 Rates of Change in the Natural and Social Sciences

Exercises

3

p.233

3.8 Exponential Growth and Decay

Exercises

7

p.242

3.9 Related Rates

Exercises

17

p.248

Chapter 4 Applications of Differentiation

4.1 Maximum and Minimum Values

Exercises

34

p.280

4.2 The Mean Value Theorem

Exercises

8

p.288

4.3 How Derivatives Affect the Shape of a Graph

Exercises

27

p.297

4.4 Indeterminate Forms and L'Hospital's Rule

Exercises

7

p.307

4.5 Summary of Curve Sketching

Exercises

6

p.317

4.6 Graphing with Calculus and Calculators

Exercises

p.324

4.7 Optimization Problems

Exercises

5

p.331

4.8 Newton's Method

Exercises

p.342

4.9 Antiderivatives

Exercises

31

p.348

Chapter 5 Integrals

Chapter 6 Applications of Integration

Chapter 7 Techniques of Integration

7.1 Integration by Parts

Exercises

36

p.468

7.2 Trigonometric Integrals

Exercises

48

p.476

7.3 Trigonometric Substitution

Exercises

28

p.483

7.4 Integration of Rational Functions by Partial Fractions

Exercises

42

p.492

7.5 Strategy of Integration

Exercises

10

p.499

7.6 Integration Using Tables and Computer Algebra Systems

Exercises

p.504

7.7 Approximate Integration

Exercises

p.516

7.8 Improper Integral

Exercises

34

p.527

Chapter 8 Further Applications of Integration

Chapter 9 Differential Equations

Chapter 10 Parametric Equations and Polar Coordinates

10.1 Curves Defined by Parametric Equations

Exercises

18

p.641

10.2 Calculus with Parametric Curves

Exercises

9

p.651

10.3 Polar Coordinates

Exercises

46

p.662

10.4 Areas and Lengths in Polar Coordinates

Exercises

p.668

10.5 Conic Sections

Exercises

p.676

10.6 Conic Sections in Polar Coordinates

Exercises

p.684

Chapter 11 Infinite Sequences and Series

11.1 Sequences

Exercises

39

p.700

11.2 Series

Exercises

43

p.711

11.3 Integral Test and Esitmates of Sums

Exercises

25

p.720

11.4 Comparison Tests

Exercises

11

p.726

11.5 Alternating Series

Exercises

26

p.731

11.6 Absolute Convergence and the Ratio and Root Tests

Exercises

28

p.737

11.7 Strategy for Testing Series

Exercises

p.740

11.8 Power Series

Exercises

21

p.745

11.9 Representations of Functions as Power Series

Exercises

20

p.751

11.10 Taylor and McLaraurin Series

Exercises

27

p.765

11.11 Applications of Taylor Polynomials

Exercises

p.774