Friday, February 1, 2019

Single Variable Calculus: Early Transcendentals, 2nd Edition

Single Variable Calculus: Early Transcendentals, 2nd Edition

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Single Variable Calculus: Early Transcendentals, 2nd Edition Bank Test , Single Variable Calculus: Early Transcendentals, 2nd Edition Textbook , Single Variable Calculus: Early Transcendentals, 2nd Edition PDF , Single Variable Calculus: Early Transcendentals, 2nd Edition eBook , William L. Briggs, University of Colorado, Denver Lyle Cochran, Whitworth University Bernard Gillett, University of Colorado, Boulder

Category : Higher Education

Table of Contents

1. Functions

1.1 Review of functions

1.2 Representing functions

1.3 Inverse, exponential, and logarithmic functions

1.4 Trigonometric functions and their inverses

 

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 Working with derivatives

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 Derivatives of logarithmic and exponential functions

3.10 Derivatives of inverse trigonometric functions

3.11 Related rates

 

4. Applications of the Derivative

4.1 Maxima and minima

4.2 What derivatives tell us

4.3 Graphing functions

4.4 Optimization problems

4.5 Linear approximation and differentials

4.6 Mean Value Theorem

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

6.8 Logarithmic and exponential functions revisited

6.9 Exponential models

6.10 Hyperbolic functions

 

7. Integration Techniques

7.1 Basic approaches

7.2 Integration by parts

7.3 Trigonometric integrals

7.4 Trigonometric substitutions

7.5 Partial fractions

7.6 Other integration strategies

7.7 Numerical integration

7.8 Improper integrals

7.9 Introduction to differential equations

 

8. Sequences and Infinite Series

8.1 An overview

8.2 Sequences

8.3 Infinite series

8.4 The Divergence and Integral Tests

8.5 The Ratio, Root, and Comparison Tests

8.6 Alternating series

 

9. Power Series

9.1 Approximating functions with polynomials

9.2 Properties of Power series

9.3 Taylor series

9.4 Working with Taylor series

 

10. Parametric and Polar Curves

10.1 Parametric equations

10.2 Polar coordinates

10.3 Calculus in polar coordinates

10.4 Conic sections

Instalant Download Single Variable Calculus: Early Transcendentals, 2nd Edition by William L. Briggs, University of Colorado, Denver Lyle Cochran, Whitworth University Bernard Gillett, University of Colorado, Boulder ZIP OR PDF

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