Math 2433

Chapter 15

Gradients; Extreme Values; Differentials

Section 15.1: Differentiability and Gradients
Section 15.2: Gradients and Directional Derivatives
Section 15.3: The Mean-Value Theorem; Chain Rules
Section 15.4: The Gradient as a Normal; Tangent Lines and Tangent Planes
Section 15.5: Local Extreme Values
Section 15.6: Absolute Extreme Values
Section 15.7: Maxima and Minima with Side Conditions
Section 15.8: Differentials
Section 15.9: Reconstructing a Function from its Gradient

Copyright 2009, Department of Mathematics, University of Houston