Calculus for Scientists and Engineers: Early Transcendentals, Single Variable Bank Test Questions

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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 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 logarithmic and exponential functions

3.9 Derivatives of inverse trigonometric functions

3.10 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 Integration Strategies

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

 

8. Differential Equations

8.1 Basic ideas

8.2 Direction fields and Euler’s method

8.3 Separable differential equations

8.4 Special first-order differential equations

8.5 Modeling with differential equations

 

9. Sequences and Infinite Series

9.1 An overview

9.2 Sequences

9.3 Infinite series

9.4 The Divergence and Integral Tests

9.5 The Ratio, Root, and Comparison Tests

9.6 Alternating series

 

10. Power Series

10.1 Approximating functions with polynomials

10.2 Properties of Power series

10.3 Taylor series

10.4 Working with Taylor series

 

11. Parametric and Polar Curves

11.1 Parametric equations

11.2 Polar coordinates

11.3 Calculus in polar coordinates

11.4 Conic sections

 

DOWNLOAD Calculus for Scientists and Engineers: Early Transcendentals, Single Variable BY William L. Briggs, University of Colorado, Denver Lyle Cochran, Whitworth University Bernard Gillett, University of Colorado, Boulder Bank Test Questions

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Calculus for Scientists and Engineers: Early Transcendentals, Single Variable Bank Test Questions , Calculus for Scientists and Engineers: Early Transcendentals, Single Variable Textbook Solutions , Calculus for Scientists and Engineers: Early Transcendentals, Single Variable Textbook , William L. Briggs, University of Colorado, Denver Lyle Cochran, Whitworth University Bernard Gillett, University of Colorado, Boulder

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