Math 213 - Partial Derivatives - University of Kentucky
Learning Goals
Partial Derivatives, Geometric Interpretation
Higher Partials, More Variables
PDEs
Math 213 - Partial Derivatives
Peter A. Perry
University of Kentucky
February 11, 2019
Learning Goals
Partial Derivatives, Geometric Interpretation
Higher Partials, More Variables
Homework
PDEs
? Remember that our schedule has changed ? Re-read section 14.3 ? Start working on practice problems in section
14.3, 15-31 (odd), 43, 47, 49, 51, 52, 53, 55, 63-69 (odd), 75, 77 ? Be ready to work in recitation tomorrow on section 14.3 ? Read section 14.4 for Wednesday's lecture ? Remember that Webworks B1 and B2 are due Wednesday
Learning Goals
Partial Derivatives, Geometric Interpretation
Higher Partials, More Variables
PDEs
Unit II: Differential Calculus of Several Variables
Lecture 12 Lecture 13 Lecture 14 Lecture 15 Lecture 16 Lecture 17 Lecture 18 Lecture 19
Functions of Several Variables Partial Derivatives Tangent Planes and Linear Approximation The Chain Rule Directional Derivatives and the Gradient Maximum and Minimum Values, I Maximum and Minimum Values, II Lagrange Multipliers
Lecture 20 Double Integrals Lecture 21 Double Integrals over General Regions Lecture 22 Double Integrals in Polar Coordinates
Lecture 23 Exam II Review
Learning Goals
Partial Derivatives, Geometric Interpretation
Higher Partials, More Variables
Goals of the Day
PDEs
? Learn how to compute partial derivatives and know various different notations for them
? Understand the geometric interpretation of partial derivatives ? Know how to compute higher partial derivatives ? Understand their connection with partial differential equations
Learning Goals
Partial Derivatives, Geometric Interpretation
Higher Partials, More Variables
PDEs
Derivatives - One Variable
y y = f (x)
x
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