CALCULUS Understanding Its Concepts and Methods

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Contents Chapter 13Vector-Valued functions

Chapter 11: Numerical Integration

Chapter 12: Vectors in Two and Three Dimensions

Chapter 13: Partial Derivatives

13.0Introduction

13.1Functions of several variables

13.2Partial derivatives

13.3Rules for partial derivatives

13.4Local linearity

13.5Directional derivatives and the gradient

13.6Normals and the tangent plane

13.7Extrema

13.8Lagrange multipliers

Chapter 14: Multiple Integrals

Chapter 15: Vector-Valued Functions

Chapter 16: Vector Calculus

Chapter 17: Differential Equations

Appendix A: Animations

Appendix B: Business Examples

Appendix C: Complex Numbers

Appendix D: Matrices and Determinants

Appendix E: Engineering Examples

Index to Calculus: Understanding Its Concepts and Methods

Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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