Active Calculus Multivariable
Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic for...
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| Main Authors: | , , |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Place of publication not identified]
Grand Valley State University
2018.
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| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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Table of Contents:
- Preface9 Multivariable and Vector Functions
- 9.1 Functions of Several Variables and Three Dimensional Space
- 9.2 Vectors
- 9.3 The Dot Product
- 9.4 The Cross Product
- 9.5 Lines and Planes in Space
- 9.6 Vector-Valued Functions
- 9.7 Derivatives and Integrals of Vector-Valued Functions9.8 Arc Length and Curvature
- 10 Derivatives of Multivariable Functions
- 10.1 Limits
- 10.2 First-Order Partial Derivatives
- 10.3 Second-Order Partial Derivatives
- 10.4 Linearization: Tangent Planes and Differentials
- 10.5 The Chain Rule
- 10.6 Directional Derivatives and the Gradient
- 10.7 Optimization
- 10.8 Constrained Optimization:Lagrange Multipliers
- 11 Multiple Integrals
- 11.1 Double Riemann Sums and Double Integrals over Rectangles
- 11.2 Iterated Integrals
- 11.3 Double Integrals over General Regions
- 11.4 Applications of Double Integrals
- 11.5 Double Integrals in Polar Coordinates
- 11.6 Surfaces Defined Parametrically and Surface Area
- 11.7 Triple Integrals
- 11.8 Triple Integrals in Cylindrical and Spherical Coordinates
- 11.9 Change of Variables