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
2014 Lecture Topics
2014 Detailed Listing
2013-2012 Lectures
Lecture 1.
Axiomatic development of classical mechanics
(8/26/2014)
Part 1
Part 2
Part 3
Lecture 2.
Analysis of 1D 2-Body Collisions I.
(8/28/2014)
Part 1
Part 2
Lecture 3.
Analysis of 1D 2-Body Collisions II.
(9/02/2014)
Lecture 4.
Analysis of 1D 2-Body Collisions III.
(9/04/2014)
Lecture 5.
Kinetic Derivation of 1D Potentials and Force Fields
(9/09/2014)
Part 1
Part 2
Lecture 6.
Dynamics of Potentials and Force Fields I.
(9/11/2014)
Lecture 7.
Dynamics of Potentials and Force Fields II.
(9/16/2014)
Lecture 8.
Geometry of common power-law potentials
(9/18/2014)
Lecture 9.
Kepler Geometry of IHO (Isotropic Harmonic Oscillator) Elliptical Orbits
(9/23/2014)
Lecture 10.
Geometry of Dual Quadratic Forms: Lagrange vs Hamilton
(9/24/2014)
Lecture 11.
Quadratic form geometry and development of mechanics of Lagrange and Hamilton
(9/30/2014)
Lecture 12.
Equations of Lagrange and Hamilton mechanics in Generalized Curvilinear Coordinates (GCC)
(10/2/2014)
Lecture 13.
Hamiltonian vs. Lagrange mechanics in Generalized Curvilinear Coordinates (GCC)
(10/7/2014)
Lecture 14.
Poincare, Lagrange, Hamiltonian, and Jacobi Mechanics
(10/9/2014)
Lecture 15.
Complex Variables, Series, and Field Coordinates I.
(10/14/2014)
Lecture 16.
Complex Variables, Series, and Field Coordinates II.
(10/16/2014)
Lecture 17.
Introducing GCC Lagrangian`a la Trebuchet Dynamics
(10/23/2014)
Lecture 18.
GCC Lagrange and Riemann Equations for Trebuchet
or
“How do we ignore all those constraint forces?”
(10/23/2014 & 10/28/2014)
Lecture 19.
Hamilton Equations for Trebuchet and Other Things
(10/28/2014)
Lects. 19 & 20
Lecture 20.
Reimann-Christoffel equations and covariant derivative
(10/30/2014)
Lecture 21.
Electromagnetic Lagrangian and charge-field mechanics
(11/4/2014)
Lecture 22.
Reimann-Christoffel equations and covariant derivative
(11/6/2014)
Lecture 23.
Classical Constraints: Comparing various methods
(11/11/2014)
Lecture 24.
Introduction to classical oscillation and resonance
(11/13/2014)
Lecture 25.
Introduction to coupled oscillation and eigenmodes
(11/18/2014 & 11/20/2014)
Lecture 26.
Introduction to Spinor-Vector resonance dynamics
(11/25/2014)
Lecture 27.
Parametric Resonance and Multi-particle Wave Modes
(12/2/2014)
Lecture 28.
Introduction to Orbital Dynamics
(12/4/2014)
Lecture 29.
Geometry and Symmetry of Coulomb Orbital Dynamics I.
(12/10/2014)
Lecture 30.
Geometry and Symmetry of Coulomb Orbital Dynamics II.
(12/11/2014)
Lecture 31.
Multi-particle and Rotational Dynamics
(12/12/2014)
Listing of Other Classes
2012 PHYS 3614 Modern Physics
2013 PHYS 5093 Group Theory in Quantum Mechanics
2013 PHYS 5103 Classical Mechanics
2014 PHYS 5513 Atomic, Molecular, and Optical Physics
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
LearnIt - Physics Web Applications
Comprehensive Listing of Harter-Soft Web Resources for Physics
