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Unit: Math Bits

Hour 1: Math Bits - Differentials
  • Differentials
  • Zapping with d
Hours 2-3: Math Bits - Variables and Representations
  • Small Group Activity: Exploring the Partial Derivative Machine
  • Partial Derivative Machine dictionary
Hour 4: Math Bits - Energy and Integrals
  • dU
  • Numerical Integration
Hours 5-6: Math Bits - Derivatives and Chain Rules
  • Chain Rules
    • Small Group Activity: PDM Derivatives
  • Chain Rule Diagrams
Hour 7: Math Bits - The Elevator Cycle
  • 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

Hour 8: Heat and Temperature
  • Intro to Thermodynamic Properties
    • Lab: Ice Lab I
  • Comparing Thermodynamic Properties
Hour 9: The First and Second Law
  • QUIZ
  • Jargon
    • Intensive and Extensive
    • T, S, V, p, U
    • Work, Heat
    • First Law
    • Second Law
    • Reversible and Irreversible
    • Adiabatic
    • Quazistatic
  • Snapping a Rubber Band
  • Second Law
Hour 10: Connecting thermal derivatives with experiment
  • Thermodynamic Identity
  • Name the Experiment I
  • Heat Capacity
Hour 11: Heat capacity and latent heat
  • Lab: Ice Lab II
Hour 12: Entropy, expansion, and the Second Law
  • Free expansion not-quiz
  • Discussion of not-quiz
Hour 13-14: Mechanical cycles
  • Elevators
  • Small Group Activity: The Elevator Cycle
Hour 15: Holiday
Hour 16: Heat, work, and processes
  • QUIZ
  • Work
  • Heat
  • Using $p V$ and $T S$ Plots
Hour 17: A simple cycle
  • Analyzing a Simple Curve

Unit: Internal Energy

Hour 18: Understanding derivatives involving entropy
  • Name the Experiment II (Heat and/or First Law)
Hours 19-20: Legendre Transformations
Hour 21: Maxwell relations
  • Maxwell Relations
  • Maxwell Relation Activities
Hour 22 Applying Maxwell relations to experiments
  • QUIZ
  • Name The Experiment III
Hours 23-24: Using a Maxwell relation to make an entropy change
  • Lab: Rubber Band Lab
Hour 25: Identifying physical laws governing relationships
  • Sometimes Always Never True (1st half)
Hours 26-28: Holiday

Unit: Statistical Mechanics

Hour 29: Statistical view of entropy
  • QUIZ
  • Fairness Function and Probability
Hour 30: Maximizing Entropy
  • Maximizing S
  • Lagrange Multipliers
Hour 31: From statistics to thermal properties
  • Weighted Averages
  • Derive Boltzman Ratio and connect to Thermo ($U = \sum p_iE_i$)
Hour 32: Free
  • Free
Hours 33-34: Exploring a Diatomic Gas
  • Diatomic Gas
Hour 35: Review
  • Review

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