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Text Topics for Units 1-8
Detailed Listing
Unit 1.
Review of velocity, momentum, energy, and fields
Unit 2.
Lagrangian and Hamiltionian mechanics
Unit 3.
General Curvilinear Coordinate transformations
Unit 4.
Oscillation and waves
Unit 5.
Orbits and scattering
Unit 6.
Rigid and semi-rigid bodies
Unit 7.
Action and functional variation
Unit 8.
Advanced Topics
Appendix K.
Astronomical Constants
2015 Lecture Topics
2015 Detailed Listing
2014 Lectures
Lecture 1.
Axiomatic Development of Classical Mechanics
(8/25/2015)
Lecture 2.
Analysis of 1D 2-Body Collisions I.
(8/27/2015)
Lecture 3.
Analysis of 1D 2-Body Collisions II.
(9/1/2015)
Lecture 4.
Kinetic Derivation of 1D Potentials and Force Fields
(9/3/2015)
Lecture 5.
Dynamics of Potentials and Force Fields
(9/8/2015)
Lecture 6.
Geometry of common power-law potentials I.
(9/10/2015)
Lecture 7.
Geometry of common power-law potentials II.
(9/15/2015)
Lecture 8.
Kepler Geometry of IHO
(Isotropic Harmonic Oscillator)
Elliptical Orbits
(9/17/2015)
Lecture 9.
Quadratic form geometry and Development of mechanics of Lagrange and Hamilton
(9/22/2015)
Lecture 10.
Equations of Lagrange and Hamilton mechanics in Generalized Curvilinear Coordinates (GCC)
(9/24/2015)
Lecture 11.
Hamiltonian vs. Lagrange mechanics in Generalized Curvilinear Coordinates (GCC)
(10/6/2015)
Lecture 12.
Poincare, Lagrange, Hamiltonian, and Jacobi mechanics
(10/8/2015)
Lecture 13.
Complex Variables, Series, and Field Coordinates I.
(10/13/2015)
Lecture 14.
Complex Variables, Series, and Field Coordinates II.
(10/15/2015)
Lecture 15.
Introducing GCC Lagrangian`a la Trebuchet Dynamics
(10/22/2015)
Lecture 16.
GCC Lagrange and Riemann Equations for Trebuchet
(10/27/2015)
Lecture 17.
Hamilton Equations for Trebuchet and Other Things
(10/29/2015)
Lecture 18.
Reimann-Christoffel equations and covariant derivative
(11/3/2015)
Lecture 19.
Electromagnetic Lagrangian and charge-field mechanics
(11/5/2015)
Mech/EM Analog
Lecture 20.
Introduction to classical oscillation and resonance
(11/10/2015)
Lecture 21.
Introduction to coupled oscillation and eigenmodes
(11/12/2015)
Lecture 22.
Introduction to Spinor-Vector resonance dynamics
(11/17/2015)
Lecture 23.
U(2)~R(3) algebra/geometry in classical or quantum theory
(11/19/2015)
Part 1
Part 2
Lecture 24.
Parametric Resonance and Multi-particle Wave Modes
(11/24/2015)
Lecture 25.
Introduction to Orbital Dynamics
(12/1/2015)
Lecture 26.
Geometry and Symmetry of Coulomb Orbital Dynamics I.
(12/3/2015)
Lecture 27.
Geometry and Symmetry of Coulomb Orbital Dynamics II.
(12/4/2015)
Lecture 28.
Multi-particle and Rotational Dynamics
(12/7/2015)
Lecture 29.
Classical Constraints: Comparing various methods
(12/8/2015)
Lecture 30.
Relawavity and a novel introduction to relativistic mechanics I.
(12/10/2015)
Lecture 31.
Relawavity and a novel introduction to relativistic mechanics II.
(12/17/2015)
Assignments
Assignment 1.
Due Tues. (9/1/2015)
Solutions 1.
Assignment 2.
Due Tues. (9/8/2015)
Solutions 2.
Assignment 3.
Due Tues. (9/15/2015)
Solutions 3.
Assignment 4.
Due Tues. (9/22/2015)
Solutions 4.
Assignment 5.
Due Thur. (10/1/2015)
Solutions 5.
Solutions 5.5
(Additional)
Assignment 6.
Due Thur. (10/13/2015)
Solutions 6 - 6.5.
(Extended)
Assignment 7.
Due Thur. (10/20/2015)
Solutions 7.
Assignment 8.
Due Tues. (11/10/2015)
Solutions 8.
Assignment 9.
Due Tues. (12/01/2015)
Solutions 9.
Assignment 10.
Due Tues. (12/15/2015)
Solutions 10.
Listing of Other Classes
2012 PHYS 3614 Modern Physics
2013 PHYS 5093 Group Theory in Quantum Mechanics
2013 PHYS 5103 Advanced Mechanics
2014 PHYS 5513 Atomic, Molecular, and Optical Physics
2014 PHYS 5103 Advanced Mechanics
2015 PHYS 5093 Group Theory in Quantum Mechanics
Related Papers & Talks
Fractions - Lester. R. Ford, Am. Math. Monthly 45, 586 (1938)
Trebuchet vs Flinger
Trebuchet - UAF 9/9/2004
Relativity Lecture (Unit_8) - Harvard 2010
Weapons of Math Instruction - INBRE Workshop 2012
Quantum Revivals of Morse Oscillators and Farey-Ford Geometry - 2013
Special Relativity and Quantum Theory by Ruler and Compass - Current draft
Relawavity: Learning some Secrets of Relativity, Pseudo-relativity, and Quantum Theory
- INBRE Workshop 2014
EVENSON’S LASERS AND OCCAM’S RAZORS:
Some dirty little geometric secrets of relativity and quantum theory
- UAF Colloquium 11/14/2014
DAMOP Annual Meeting Web Resources - OSU Columbus, OH 6/10/2015
LearnIt - Physics Web Applications
Comprehensive Listing of Harter-Soft Web Resources for Physics
