Table of Contents
Unit: Interlude
Partial Derivatives (40 minutes)
Potential Energy and the Partial Derivative Machine (1 hour 40 minutes)
Total Differentials and Partial Derivatives (1 hour 30 minutes)
Maxwell Relations and Legendre Transforms
Unit: Interlude
Partial Derivatives (40 minutes)
Prerequisite ideas
Quantifying Change
(Small Group PDM Activity)
Isowidth and Isoforce Stretchability
(Small Group PDM Activity)
Potential Energy and the Partial Derivative Machine (1 hour 40 minutes)
Prerequisite ideas
Math pre-test
(Class actvity, 15 minutes)
Easy and Hard Derivatives
(Small Group PDM Activity)
Potential Energy of a Spring
(Lecture 5 minutes)
Potential Energy of an Elastic System
(Integrated PDM Lab)
Total Differentials and Partial Derivatives (1 hour 30 minutes)
Prerequisite ideas
Total Differentials
(Lecture 10 minutes)
Evaluating Total Differentials: "Zapping with d"
(Small Group Activity)
What You Can Do with Total Differentials
(Lecture 5 minutes)
Upside Down Derivatives
(Small Group PDM Activity)
Cyclic Chain Rule
(Small Group PDM Activity)
Deriving Change of Variables
(Small Group PDM Activity)
Maxwell Relations and Legendre Transforms
Mixed Partials and Maxwell Relations
(Lecture 30 minutes)
Legendre Transforms
(Lecture 5 minutes)