Calculus for Scientists and Engineers, Single Variable

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Calculus for Scientists and Engineers, Single Variable Bank Test , Calculus for Scientists and Engineers, Single Variable Textbook , Calculus for Scientists and Engineers, Single Variable PDF , Calculus for Scientists and Engineers, Single Variable 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 Trigonometric functions and their inverses

Review

 

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

Review

 

3. Derivatives

3.1 Introducing the derivative

3.2 Rules of differentiation

3.3 The product and quotient rules

3.4 Derivatives of trigonometric functions

3.5 Derivatives as rates of change

3.6 The Chain Rule

3.7 Implicit differentiation

3.8 Derivatives of inverse trigonometric functions

3.9 Related rates

Review

 

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

Review

 

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

Review

 

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 Hyperbolic functions

Review

 

7. Logarithmic and Exponential Functions

7.1 Inverse functions

7.2 The natural logarithm and exponential functions

7.3 Logarithmic and exponential functions with general bases

7.4 Exponential models

7.5 Inverse trigonometric functions

7.6 L'Hôpital's rule and growth rates of functions

Review

 

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 Other integration strategies

8.7 Numerical integration

8.8 Improper integrals

Review

 

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 differential equations

9.5 Modeling with differential equations

Review

 

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 The Ratio, Root, and Comparison Tests

10.6 Alternating series

Review

 

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

 

12. Parametric and Polar Curves

12.1 Parametric equations

12.2 Polar coordinates

12.3 Calculus in polar coordinates

12.4 Conic sections

Review

Instalant Download Calculus for Scientists and Engineers, Single Variable 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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