Saturday, April 27, 2019

Calculus, Single Variable, 3rd Edition

Calculus, Single Variable, 3rd Edition

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Calculus, Single Variable, 3rd Edition Bank Test , Calculus, Single Variable, 3rd Edition Textbook , Calculus, Single Variable, 3rd Edition PDF , Calculus, Single Variable, 3rd Edition eBook , William L. Briggs, University of Colorado, Denver Lyle Cochran, Whitworth University Bernard Gillett, University of Colorado, Boulder Eric Schulz, Walla Walla Community College

Category : Higher Education

Table of Contents

1. Functions 

1.1 Review of Functions 

1.2 Representing Functions

1.3 Trigonometric Functions


2. Limits

2.1 The Idea of Limits

2.2 Definitions of Limits

2.3 Techniques for Computing Limits 

2.4 Infinite Limits 

2.5 Limits at Infinity 

2.6 Continuity

2.7 Precise Definitions of Limits 


3. Derivatives

3.1 Introducing the Derivative

3.2 The Derivative as a Function

3.3 Rules of Differentiation

3.4 The Product and Quotient Rules

3.5 Derivatives of Trigonometric Functions 

3.6 Derivatives as Rates of Change 

3.7 The Chain Rule 

3.8 Implicit Differentiation 

3.9 Related Rates


4. Applications of the Derivative

4.1 Maxima and Minima 

4.2 Mean Value Theorem

4.3 What Derivatives Tell Us 

4.4 Graphing Functions 

4.5 Optimization Problems 

4.6 Linear Approximation and Differentials 

4.7 L’Hôpital’s Rule 

4.8 Newton’s Method 

4.9 Antiderivatives


5. Integration

5.1 Approximating Areas under Curves

5.2 Definite Integrals 

5.3 Fundamental Theorem of Calculus 

5.4 Working with Integrals 

5.5 Substitution Rule


6. Applications of Integration

6.1 Velocity and Net Change

6.2 Regions Between Curves

6.3 Volume by Slicing

6.4 Volume by Shells

6.5 Length of Curves

6.6 Surface Area

6.7 Physical Applications


7. Logarithmic and Exponential Functions

7.1 Inverse Functions

7.2 The Natural Logarithmic and Exponential Functions

7.3 Logarithmic and Exponential Functions with Other Bases

7.4 Exponential Models

7.5 Inverse Trigonometric Functions

7.6 L’ Hôpital’s Rule and Growth Rates of Functions

7.7 Hyperbolic Functions


8. Integration Techniques

8.1 Basic Approaches

8.2 Integration by Parts

8.3 Trigonometric Integrals

8.4 Trigonometric Substitutions

8.5 Partial Fractions

8.6 Integration Strategies

8.7 Other Methods of Integration

8.8 Numerical Integration

8.9 Improper Integrals

Review Exercises


9. Differential Equations

9.1 Basic Ideas

9.2 Direction Fields and Euler’s Method

9.3 Separable Differential Equations

9.4 Special First-Order Linear Differential Equations

9.5 Modeling with Differential Equations

Review Exercises


10. Sequences and Infinite Series

10.1 An Overview

10.2 Sequences

10.3 Infinite Series

10.4 The Divergence and Integral Tests

10.5 Comparison Tests

10.6 Alternating Series

10.7 The Ratio and Root Tests

10.8 Choosing a Convergence Test

Review Exercises


11. Power Series

11.1 Approximating Functions with Polynomials

11.2 Properties of Power Series

11.3 Taylor Series

11.4 Working with Taylor Series

Review Exercises


12. Parametric and Polar Curves

12.1 Parametric Equations

12.2 Polar Coordinates

12.3 Calculus in Polar Coordinates

12.4 Conic Sections

Review Exercises


13. Vectors and the Geometry of Space

13.1 Vectors in the Plane

13.2 Vectors in Three Dimensions

13.3 Dot Products

13.4 Cross Products

13.5 Lines and Planes in Space

13.6 Cylinders and Quadric Surfaces

Review Exercises


14. Vector-Valued Functions

14.1 Vector-Valued Functions

14.2 Calculus of Vector-Valued Functions

14.3 Motion in Space

14.4 Length of Curves

14.5 Curvature and Normal Vectors

Review Exercises


15. Functions of Several Variables

15.1 Graphs and Level Curves

15.2 Limits and Continuity

15.3 Partial Derivatives

15.4 The Chain Rule

15.5 Directional Derivatives and the Gradient

15.6 Tangent Planes and Linear Approximation

15.7 Maximum/Minimum Problems

15.8 Lagrange Multipliers

Review Exercises


16. Multiple Integration

16.1 Double Integrals over Rectangular Regions

16.2 Double Integrals over General Regions

16.3 Double Integrals in Polar Coordinates

16.4 Triple Integrals

16.5 Triple Integrals in Cylindrical and Spherical Coordinates

16.6 Integrals for Mass Calculations

16.7 Change of Variables in Multiple Integrals

Review Exercises


17. Vector Calculus

17.1 Vector Fields

17.2 Line Integrals

17.3 Conservative Vector Fields

17.4 Green’s Theorem

17.5 Divergence and Curl

17.6 Surface Integrals

17.7 Stokes’ Theorem

17.8 Divergence Theorem

Review Exercises


D2 Second-Order Differential Equations ONLINE

D2.1 Basic Ideas

D2.2 Linear Homogeneous Equations

D2.3 Linear Nonhomogeneous Equations

D2.4 Applications

D2.5 Complex Forcing Functions

Review Exercises


Appendix A. Proofs of Selected Theorems

Appendix B. Algebra Review ONLINE

Appendix C. Complex Numbers ONLINE

Answers

Index

Table of Integrals


Instalant Download Calculus, Single Variable, 3rd Edition by William L. Briggs, University of Colorado, Denver Lyle Cochran, Whitworth University Bernard Gillett, University of Colorado, Boulder Eric Schulz, Walla Walla Community College ZIP OR PDF

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