Lagrange multipliers Study guides, Class notes & Summaries

Handwritten revision notes

Evaluating the absolute extrema of functions within certain domains. Includes feedback I received for my incorrect answers.

Notes come from an Ivy League Brown University student studying math with an A in the course. The main topics are: geometry of three-dimensional space; partial derivatives; Lagrange multipliers; double, surface, and triple integrals; vector analysis; Stokes' theorem and the divergence theorem, with applications to electrostatics and fluid flow.

Section 13.1: Functions of Several Variables. gives worked though examples and explain contour maps and level curves. Section 13.2: Limits and Continuity. explains limits of multi-variable functions and gives examples that have been worked through. Section 13.3: Partial Derivatives. explains how to take partial derivatives and examples are provided with step-by-step solutions. Section 13.4: Chain Rule of Multi-Variables. explains how to use the chain rule to take derivatives of multi-variable eq...

© 2013 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. C H A P T E R 7 Functions of Several Variables Section 7.1 The Three-Dimensional Coordinate System.....................................417 Section 7.2 Surfaces in Space................................................................................423 Section 7.3 Functions of Several Variables ......................................................

This summary includes more complex applications of Differential Calculus, explained in easy-to-follow steps. It outlines total differentials, interpreting the results of first and second derivative tests in terms of economic theories, minimising and maximising three-dimensional functions and Lagrange Multipliers.

14.7 - 14.8 Extreme Values & Lagrange Multipliers