==== Unit: Interlude ==== === Partial Derivatives (40 minutes) === * [[..:prereq:inpre:inprethermovar|Prerequisite ideas]] * [[..:activities:inact:inquantchange|Quantifying Change]] (Small Group PDM Activity) * [[..:activities:inact:inisowidth|Isowidth and Isoforce Stretchability]] (Small Group PDM Activity) === Potential Energy and the Partial Derivative Machine (1 hour 40 minutes) === * [[..:prereq:inpre:inprebeast|Prerequisite ideas]] * [[..:pretest:intest:inmathpretest|Math pre-test]] (Class actvity, 15 minutes) * [[..:activities:inact:ineasyhard|Easy and Hard Derivatives]] (Small Group PDM Activity) * [[..:lecture:inlec:inpotentialspring|Potential Energy of a Spring]] (Lecture 5 minutes) * [[..:activities:inact:inpotentiallab|Potential Energy of an Elastic System]] (Integrated PDM Lab) === Total Differentials and Partial Derivatives (1 hour 30 minutes) === * [[..:prereq:inpre:inprediff|Prerequisite ideas]] * [[..:lecture:inlec:intotaldiff|Total Differentials]] (Lecture 10 minutes) * [[..:activities:inact:inzapd|Evaluating Total Differentials: "Zapping with d"]] (Small Group Activity) * [[..:lecture:inlec:inusetotaldiff|What You Can Do with Total Differentials]] (Lecture 5 minutes) * [[..:activities:inact:inupdownderiv|Upside Down Derivatives]] (Small Group PDM Activity) * [[..:activities:inact:incycchainrule|Cyclic Chain Rule]] (Small Group PDM Activity) * [[..:activities:inact:inchangeofvars| Deriving Change of Variables]] (Small Group PDM Activity) === Maxwell Relations and Legendre Transforms=== * [[..:lecture:inlec:inmawwell|Mixed Partials and Maxwell Relations]] (Lecture 30 minutes) * [[..:lecture:inlec:inlegendre|Legendre Transforms]] (Lecture 5 minutes)