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Unit: Math Bits

  • Differentials
  • Zapping with d
  • Small Group Activity: Exploring the Partial Derivative Machine
  • Partial Derivative Machine dictionary
  • dU
  • Numerical Integration
  • Chain Rules
    • Small Group Activity: PDM Derivatives
  • Chain Rule Diagrams
  • Small Group Activity: The Elevator Cycle
Some notes on how Math Bits might change:
  • The elevator/cycles problem is now done below, so can be dropped
  • There are two surfaces activities that fit well with Math Bits
    • Thermodynamic States (I would do this one before starting the PDM)
    • Covariation in Thermal Systems (I would do this one on Friday as a bridge back to Thermodynamics)
    • We also have Quantifying Change in Thermal Systems which is quick and could go anywhere or be left out (it is primarily a contour map activity).
  • Something else probably needs to be dropped. I would probably recommend Numerical Integration (or at least it can be minimized), though the ideas here should be brought back for the elevator cycle activity, which looks to have 2 hours below which is more than we gave it.
  • Other surfaces activities that fit well below:
    • Heat Capacity of Water Vapor
    • “Squishability” of Water Vapor

Unit: First and Second Laws of Thermodynamics

  • Intro to Thermodynamic Properties
    • Lab: Ice Lab I
  • Comparing Thermodynamic Properties
  • QUIZ
  • Jargon
  • First Law
  • Snapping a Rubber Band
  • Second Law
  • Thermodynamic Identity
  • Name the Experiment I
  • Heat Capacity
  • Lab: Ice Lab II
  • Free expansion not-quiz
  • Discussion of not-quiz
Hour 13-14: Mechanical cycles
  • Elevators
  • Small Group Activity: The Elevator Cycle
Hour 15: Holiday
  • QUIZ
  • Work
  • Heat
  • Using $p V$ and $T S$ Plots
Hour 17: A simple cycle
  • Analyzing a Simple Curve

Unit: Internal Energy

  • Name the Experiment II (Heat and/or First Law)
  • Legendre Transformations on PDM
  • Legendre Transformations
  • Maxwell Relations
  • Maxwell Relation Activities
  • QUIZ
  • Name The Experiment III
Hours 23-24: Rubber band lab
  • Lab: Rubber Band Lab
  • Sometimes Always Never True (1st half)
Hours 26-28: Holiday

Unit: Statistical Mechanics

  • QUIZ
  • Fairness Function and Probability
  • Maximizing S
  • Lagrange Multipliers
  • Weighted Averages
  • Derive Boltzman Ratio and connect to Thermo ($U = \sum p_iE_i$)
Hour 32: Free
  • Free
  • Diatomic Gas
Hour 35: Review
  • Review

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