# Differences

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- | [[cforder20premike|This link will take you to the original version of the Central Forces page.]] | + | [[..:order:eeorder|This link will take you to the original version of the Energy and Entropy page.]] |

- | ==== Unit: Math Bits - Power Series Solutions to ODEs ==== | + | ==== Unit: Math Bits ==== |

- | : **Hour 1: [[..:order20:cforder20:cfmbseries|Math Bits - Series Solutions]] ** | + | : **Hour 1: [[..:order20:eeorder20:eembdiff|Math Bits - Differentials]] ** |

- | * Summation Notation and Derivatives | + | * Differentials |

- | * Solving a Differential Equation with Power Series | + | * Zapping with d |

- | : **Hour 2: [[..:order20:cforder20:cfmbcov|Math Bits - Change of Variables]] ** | + | * //Surfaces Activity: Covariation in Thermal Systems// |

- | * Changing Independent Variables | + | |

- | * Changing Dependent Variables | + | |

- | * Optional: Solving the Hermite Equation | + | |

- | : **Hour 3: [[..:order20:cforder20:cfmblegeq|Math Bits - Legendre's Equation]] ** | + | |

- | * Solving Legendre's Equation | + | |

- | * Introduction to Special Functions | + | |

- | ==== Unit: Classical Central Forces ==== | + | : **Hour 2: [[..:order20:eeorder20:eembvarrep|Math Bits - Variables and Representations]] ** |

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- | : **Hour 4: [[..:order20:cforder20:cfsystems|Systems of Particles]]** | + | |

- | * Center of Mass | + | |

- | * //Kinesthetic Activity: Survivor Outer Space// | + | |

- | * Reduced Mass | + | |

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- | : **Hour 5: [[..:order20:cforder20:cfclassical|Classical Angular Momentum]]** | + | |

- | * Introduction to Angular Momentum | + | |

- | * //Small Whiteboard Activity: Air Table// | + | |

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- | : **Hour 6: [[..:order20:cforder20:cfkinematics|Kinematics in Polar Coordinates]]** | + | |

- | * Polar Coordinates | + | |

- | * Vectors | + | |

- | ** //Small Group Activity: Velocity and Acceleration in Polar Coordinates// FIXME Add this activity | + | |

- | * Kepler's Second Law FIXME CAM added the next two bullets | + | |

- | * Angular Momentum and Kinetic Energy in Polar Coordinates | + | |

- | | + | |

- | : **Hour 7: [[..:order20:cforder20:cfconic|Conic Sections and Kepler's First Law]]** | + | |

- | * Conic Sections | + | |

- | * //Mathematica Activity: Plotting Conic Sections// FIXME CAM moved this activity | + | |

- | * Equations of Motion | + | |

- | | + | |

- | : **Hour 8: [[..:order20:cforder20:cfenergy|Energy and Angular Momentum Conservation]]** | + | |

* QUIZ | * QUIZ | ||

- | * Conservation and Orbital Shape | + | * //Small Group Activity: Exploring the Partial Derivative Machine// |

+ | * Contour Graphs | ||

+ | * //Surfaces Activity: Thermodynamic States// | ||

+ | : **Hour 3: [[..:order20:eeorder20:eembanalogy|Math Bits - Thermodynamic Analogies]] ** | ||

+ | * //Small Group Activity: Exploring the Partial Derivative Machine// | ||

+ | * Partial Derivative Machine dictionary | ||

- | : **Hours 9-10: [[..:order20:cforder20:cfeffpot|Effective Potentials & Orbital Motion]]** | + | : **Hour 4: [[..:order20:eeorder20:eembenergy|Math Bits - Energy and Integrals]] ** |

- | * Effective Potentials | + | * //dU// |

- | * //Kinesthetic Activity: Interpreting Effective Potential Plots// | + | * Numerical Integration |

- | * Trajectories | + | * //Surfaces Activity: Quantifying Change in Thermal Systems// |

- | : **Hours 11-12: [[..:order20:cforder20:cfscattering|Scattering]]** | + | : **Hours 5-6: [[..:order20:eeorder20:eembderivatives|Math Bits - Derivatives and Chain Rules]]** |

- | * What Is Scattering? | + | * Chain Rules |

- | * Cross-section Geometry | + | * //Small Group Activity: PDM Derivatives// |

- | * Differential Cross Sections | + | * Chain Rule Diagrams |

- | * //Small Group Activity: Hard Sphere// | + | |

+ | : **Hour 7: [[..:order20:eeorder20:eemb|Math Bits - Probably more derivatives]]** | ||

+ | * //Surfaces Activity: "Squishability" of Water Vapor// | ||

+ | ==== Unit: First Law of Thermodynamics ==== | ||

+ | : **Hour 8: [[..:order20:eeorder20:eeheatandtemp|Heat and Temperature]]** | ||

+ | * //Lab: Ice Calorimetry Lab// | ||

+ | * //SWBQ: Comparing Thermodynamic Properties// | ||

+ | * //Lecture: Dulong and Petit Rule// | ||

- | ==== Unit: Quantum Central Forces in One Dimension (The Ring Problem) ==== | + | : **Hour 9: [[..:order20:eeorder20:eefirstlaw|The first law]]** |

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- | : **Hour 13: [[..:order20:cforder20:cfseparation|Separation of Variables in Spherical Coordinates]]** | + | |

- | * Review of Hamiltonians | + | |

- | * Separation of Variables | + | |

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- | : **Hours 14-15: [[..:order20:cforder20:cfqmring|QM States on a Ring]]** | + | |

* QUIZ | * QUIZ | ||

- | * Energy Eigenstates for the Ring | + | * //Activity: Comparing the System and Surroundings// |

- | * Angular Momentum for the Ring | + | * //Lectures: Jargon// |

- | * //Small Group Activity: The Ring// | + | *Intensive and Extensive |

+ | *T, S, V, p, U | ||

+ | *Work, Heat | ||

+ | *The First Law | ||

+ | * //Lecture: Snapping a Rubber Band// | ||

+ | : **Hour 10: [[..:order20:eeorder20:eenameexpone|Connecting thermal derivatives with experiment]]** | ||

+ | * Thermodynamic Identity | ||

+ | * Name the Experiment I | ||

+ | * Heat Capacity | ||

- | : **Hour 16: [[..:order20:cforder20:cftimedepring|Time Dependence on a Ring]]** | + | : **Hour 11: [[..:order20:eeorder20:eeicelabtwo|Heat capacity and latent heat]]** |

- | * Energy Eigenstates, Superpositions, and Time Dependence | + | *//Lab: Ice Lab II// |

- | * //Mathematica Activity: Visualizing Time Dependence// | + | |

+ | FIXME : This should go somewhere around here once things get rearranged: | ||

+ | * //Heat Capacity of Water Vapor// | ||

+ | : **Hour 12: [[..:order20:eeorder20:eeelevator|Mechanical cycles]]** FIXME Needs Content | ||

+ | * Elevators | ||

+ | * //Small Group Activity: The Elevator Cycle// | ||

- | ==== Unit: Math Bits - Boundary Value Problems ==== | + | : **Hour 13: [[..:order20:eeorder20:eepvtsplots|Heat, work, and processes]]** FIXME Needs Prereqs |

+ | * Work | ||

+ | * Heat | ||

+ | * Using $p V$ and $T S$ Plots | ||

- | : **Hours 17-18: [[..:order20:cforder20:cfmb2d|Math Bits - Particle in a 2-D Box]] ** | + | : **Hour 14: [[..:order20:eeorder20:eesimplecurve|A simple cycle]]** FIXME Needs Prereqs |

- | * PDE Solution with 2 Space and 1 Time Variables | + | * Analyzing a Simple Curve |

- | * Applying Boundary Conditions to PDE Solutions | + | |

- | * //Small Group Activity: Infinite Square Well Squared// | + | |

- | * Degenerate Solutions to PDEs | + | |

- | : **Hours 19-20: [[..:order20:cforder20:cfmblps|Math Bits - Legendre Polynomials]] ** | + | : **Hour 15: Holiday** |

- | * Properties of Legendre Polynomials | + | |

- | * //Mathematica Activity: Legendre Polynomial Expansions // | + | |

- | * Finding Legendre Series Coefficients | + | |

- | ==== Unit: The Quantum Rigid Rotor ==== | ||

+ | ==== Unit: Internal Energy ==== | ||

- | : **Hour 21: [[..:order20:cforder20:cfqmrigid|QM Rigid Rotor Intro, Associated Legendre Polynomials]]** | + | : **Hour 16: [[..:order20:eeorder20:eenameexptwo|Understanding derivatives involving entropy]]** |

- | * FIXME This topic needs more content | + | * Quiz |

+ | * Name the Experiment II (Heat and/or First Law) | ||

- | : **Hour 22: Holiday ** | + | : **Hour 17: [[..:order20:eeorder20:eethesecondlaw|The second law]]** FIXME Needs Prereqs |

+ | *Lectures: Jargon | ||

+ | *Second Law | ||

+ | *Reversible and Irreversible | ||

+ | *Adiabatic | ||

+ | *Quasistatic | ||

- | : **Hour 23: [[..:order20:cforder20:cfsphereharm|Spherical Harmonics]]** | + | : **Hour 18: [[..:order20:eeorder20:eefreeexpansion|Entropy, expansion, and the Second Law]]** FIXME Needs Prereqs |

- | * Spherical Harmonics | + | * Free expansion not-quiz |

- | * //Kinesthetic Activity : Visualizing Spherical Harmonics// | + | * Discussion of not-quiz |

- | : **Hour 24-25: [[..:order20:cforder20:cfqmrotor|QM States for Rigid Rotor]]** | + | : **Hours 19-20: [[..:order20:eeorder20:eelegendre|Legendre Transformations]]** FIXME Needs Prereqs |

- | * Spherical Harmonic Series | + | * [[..:activities:eeact:eembpdmlegendretransforms|Legendre Transformations on PDM]] |

- | * //Mathematica Activity : Plotting Spherical Harmonic Superpositions// | + | |

+ | : **Hour 21: [[..:order20:eeorder20:eemaxwell|Maxwell relations]]** | ||

+ | * Maxwell Relations | ||

+ | * Maxwell Relation Activities | ||

+ | : **Hour 22 [[..:order20:eeorder20:eenameexpthree|Applying Maxwell relations to experiments]] ** | ||

+ | * Name The Experiment III | ||

- | : **Hour 26: [[..:order20:cforder20:cftimedeprotor|Time Dependence for Rigid Rotor]]** | + | : **Hours 23-24: [[..:order20:eeorder20:eebandlab|Using a Maxwell relation to make an entropy change]] ** |

- | * FIXME This topic needs new activities | + | *QUIZ |

+ | * //Lab: Rubber Band Lab// | ||

- | : **Hour 27: [[..:order20:cforder20:cfangular|Angular Momentum Commutation Relations]]** | + | : **Hour 25: [[..:order20:eeorder20:eesometimesalwaysnever|Identifying physical laws governing relationships]] ** |

- | * Review of Commutation | + | * Sometimes Always Never |

- | * Angular Momentum Operators | + | |

- | | + | : **Hours 26-28: Holiday** |

- | : **Hour 28: [[..:order20:cforder20:cfraiselower|Raising and Lowering Operators]]** | + | |

- | ==== Unit: The Hydrogen Atom ==== | + | ==== Unit: Statistical Mechanics ==== |

- | | + | : **Hour 29: [[..:order20:eeorder20:eefairness|Statistical view of entropy]]** |

- | : **Hour 29: [[..:order20:cforder20:cfradialeq|The Radial Equation]]** | + | |

* QUIZ | * QUIZ | ||

- | * Solving the Radial Wave Function | + | * Fairness Function and Probability |

- | * //Mathematica Activity: Visualizing Radial Wave Functions// | + | * //Kinesthetic Activity: Students as Molecules/ |

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- | : **Hours 30-31: [[..:order20:cforder20:cfhydrogen|The Hydrogen Atom]]** | + | |

- | * **The Full Solution** | + | |

- | * //Mathematica Activity: Visualizing Probability Density// | + | |

- | * Quantum Calculations | + | |

+ | : **Hour 30: [[..:order20:eeorder20:eeentropy|Maximizing Entropy]]** | ||

+ | * Maximizing S | ||

+ | * Lagrange Multipliers | ||

+ | : **Hour 31: [[..:order20:eeorder20:eeboltzman|From statistics to thermal properties]]** | ||

+ | * Weighted Averages | ||

+ | * Derive Boltzman Ratio and connect to Thermo ($U = \sum p_iE_i$) | ||

- | : **Hour 32: [[..:order20:cforder20:cfclassicallimit|The Classical Limit]]** | + | : **Hour 32: Free** |

- | * FIXME This topic needs more content | + | * Free |

+ | : **Hours 33-34: [[..:order20:eeorder20:eediatomic|Exploring a Diatomic Gas]]** | ||

+ | * Diatomic Gas | ||

- | : **Hours 33-34: [[..:order20:cforder20:cfhydrogenapps|Applications of Hydrogen Atom States]]** | + | : **Hour 35: [[..:order20:eeorder20:eereview|Review]]** |

- | * Where Is the Electron? | + | * Review |

- | * FIXME This topic needs more content | + | |

- | : **Hour 35: Review ** | + | FIXME |

+ | - (HotMetal) \textit{No HW problem by this name on archive.}{{page>homework:ph423questions:}} | ||

+ | - {{page>homework:ph423questions:a}} | ||

+ | * {{page>homework:ph423solutions:sola}} | ||

+ | - {{page>homework:ph423questions:b}} | ||

+ | * {{page>homework:ph423solutions:solb}} | ||

+ | - {{page>homework:ph423questions:c}} | ||

+ | * {{page>homework:ph423solutions:solc}} | ||

+ | - {{page>homework:ph423questions:d}} | ||

+ | * {{page>homework:ph423solutions:sold}} | ||