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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
2019 Lecture Topics
2019 Detailed Lecture Listing
2018 Info Page
2017 Info Page
2016 Info Page
2015 Info Page
2014 Info Page
Lecture 1.
1st axioms and theorems of classical mechanics
(8/26/2019)
(Ch. 1 thru Ch. 3 of Unit 1)
,
,
Lecture 2.
Analysis of 1D 2-Body Collisions I.
(8/28/2019)
(Ch. 1 thru Ch. 3 of Unit 1)
,
,
Combined
or
Part 1/2
,
Part 2/2
Lecture 3.
Analysis of 1D 2-Body Collisions II: Reflection Groups
(9/3/2019)
(Ch. 2 to Ch. 4 of Unit 1)
,
,
Lecture 4.
Kinetic Derivation of 1D Potentials and Force Fields
(9/9/2019)
(Ch. 6, and Ch. 7 of Unit 1)
,
,
Lecture 5.
Dynamics of Potentials and Force Fields
(9/11/2019)
(Ch. 7 and part of Ch. 8 of Unit 1)
,
,
Lecture 6.
Geometry of common power-law potentials
(9/16/2019)
(Ch. 9 of Unit 1)
,
,
Lecture 7.
Kepler Geometry of IHO
(Isotropic Harmonic Oscillator)
Elliptical Orbits
(9/18/2019)
(Ch. 9 of Unit 1)
,
,
Lecture 8.
Quadratic form geometry and development of mechanics of Lagrange and Hamilton
(9/23/2019)
(Ch. 12 of Unit 1 and Ch. 4-5 of Unit 7)
,
,
Lecture 9.
Generalized Curvilinear Coordinates (GCC) I. - Equations of Lagrange and Hamilton mechanics
(9/25/2019)
(Ch. 12 of Unit 1, Ch. 1-5 of Unit 2, and Ch. 1-5 of Unit 3)
,
,
Lecture 10.
Generalized Curvilinear Coordinates (GCC) II. - Hamiltonian vs. Lagrange mechanics
(9/30/2019)
(Unit 1 Ch. 12, Unit 2 Ch. 2-7, Unit 3 Ch. 1-3)
,
,
Lecture 11.
Poincare, Lagrange, Hamiltonian, and Jacobi mechanics
(10/2/2019)
(Unit 1 Ch. 12, Unit 2 Ch. 2-7, Unit 3 Ch. 1-3, Unit 7 Ch. 1-2)
,
,
Lecture 12.
Complex Variables, Series, and Field Coordinates I.
(10/7/2019)
(Ch. 10 of Unit 1)
,
,
Lecture 13.
Complex Variables, Series, and Field Coordinates II.
(10/9/2019)
(Ch. 10 of Unit 1)
,
,
Lecture 13.5
Complex Variables, Series, and Field Coordinates III.
(10/14/2019)
(Ch. 10 of Unit 1)
,
,
Lecture 14.
Introducing GCC Lagrangian`a la Trebuchet* Dynamics
(10/16/2019)
(*treb-yew-shay)
Ch. 1-3 of Unit 2 and Unit 3 (Mostly Unit 2.)
,
,
Lecture 15.
GCC Lagrange and Riemann Equations for Trebuchet
(10/23/2019)
(*treb-yew-shay)
(Ch. 1-5 of Unit 2 and Unit 3)
,
,
Lecture 16.
Hamilton Equations for Trebuchet and Related Things
(10/28/2019)
(Ch. 5-9 of Unit 2)
,
,
Lecture 17.
Reimann-Christoffel equations and covariant derivative
(10/30/2019)
Self-Study Lecture
from (Ch. 9 of Unit 3)
One may peruse the media from 10.22.18
, and video:
Lecture 18.
Electromagnetic Lagrangian and charge-field mechanics
(10/30/2019)
(Ch. 2.8 of Unit 2)
,
,
Lecture 19.
Classical Constraints: Comparing various methods
(10/30/2019)
Self-Study Lecture
from (Ch. 9 of Unit 3)
One may peruse the media from 10.29.18:
, and video:
Lecture 20.
Introduction to classical oscillation and resonance
(11/4/2019)
(Ch. 1 of Unit 4)
,
,
Lecture 21.
Introduction to coupled oscillation and eigenmodes
(11/6/2019)
(Ch. 2-4 of Unit 4)
,
,
Lecture 22.
Introduction to Spinor-Vector resonance dynamics
(11/11/2019)
(Ch. 2-4 of Unit 4 Ch. 6-7 of Unit 6)
,
,
Lecture 23.
U(2)~R(3) algebra/geometry in classical or quantum theory
(11/13/2019)
(CM w/BANG! Units 4-6, QTCA - Ch. 10A-B of Unit 3), (PSDS - Sec. 1-3 of Ch. 5 and Ch. 7)
,
,
Lecture 24.
Parametric Resonance and Multi-particle Wave Modes
(11/18/2019)
(Ch. 7-8 of Unit 4, 2017)
,
,
Lecture 25.
Introduction to Orbital Dynamics
(11/20/2019)
(Ch. 2-4 of Unit 5, 2017)
,
,
Lecture 26.
Geometry and Symmetry of Coulomb Orbital Dynamics I.
(11/25/2019)
(Ch. 2-4 of Unit 5, 2017)
,
,
Lecture 27.
Geometry and Symmetry of Coulomb Orbital Dynamics II
(11/25/2019)
Self-Study Lecture
from taken Ch. 2-4 of Unit 5
One may peruse the video from 12.05.17:
Lecture 28.
Multi-particle orbits and rotating body dynamics
(12/2/2019)
(Ch. 2-7 of Unit 6, 12.07.17)
,
,
Lecture 29-I
R
e
l
a
W
a
v
i
t
y
: a novel introduction to relativistic mechanics I.
(12/4/2019)
(CMwBang! Unit 8
,
AMOP Ch. 0)
,
,
Lecture 29-II.
R
e
l
a
W
a
v
i
t
y
: a novel introduction to relativistic mechanics II.
(12/9/2019)
(CMwBang! Unit 8
,
AMOP Ch. 0)
,
,
Lecture 30.
R
e
l
a
W
a
v
i
t
y
: and a novel introduction to relativistic mechanics III.
(12/11/2019)
(CMwBang! Unit 8
,
AMOP Ch. 0)
,
,
Assignments
Assignment 1.
Due Wed. (9/4/2019)
Solutions 1.
Assignment 2.
Due Wed. (9/11/2019)
Solutions 2.
Assignment 3.
Due Wed. (9/18/2019)
Solutions 3.
Assignment 4.
Due Wed. (9/25/2019)
Solutions 4.
Assignment 5.
Due Wed. (10/02/2019)
Solutions 5.
Assignment 6.
Due Wed. (10/09/2019)
Solutions 6.
Assignment 7.
Due Wed. (10/16/2019)
Solutions 7.
Assignment 8.
Due Wed. (10/30/2019)
Solutions 8.
Assignment 9.
Due Wed. (11/6/2019)
Solutions 9.
Assignment 10.
Due Wed. (11/13/2019)
Solutions 10.
Assignment 11.
Due Wed. (11/20/2019)
Solutions 11.
Assignment 12.
Due Wed. (10/26/2019)
Assignment 13.
Due Mon. (12/6/2019)
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
2016 PHYS 3922H Honors Colloquium
2016 PHYS 5103 Advanced Mechanics
2017 PHYS 5093 Group Theory in Quantum Mechanics
2017 PHYS 5103 Advanced Mechanics
2018 PHYS 5513 Atomic, Molecular, and Optical Physics
2018 PHYS 5103 Advanced 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
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
Physics 5103 Advanced Mechanics description and advertisement, UAF 2016
Velocity Amplification in Collision Experiments Involving Superballs - Harter et. al. 1971
Eric J. Heller Gallery
- Art and Science
Relawavity: Simple trigonometry leads to understanding of relativity and quantum theory - UAF INBRE Workshop 2016
The Lenz vector and orbital analog computers
- AJP 44 1976
Some Geometric Aspects of Classical Coulomb Scattering - AJP 40 1972
Singular Motion of Asymetric Rotators - AJP 44 1976
ResearchGate Contibutions Page - W.G. Harter
Informal MidTerm Course Evaluations for (this course) PHYS 5103 Advanced Mechanics
Presentation on: Molecules and Molecular Spectroscopy - UAF 12/17/2017
"Learning about molecules from Quantum theory and Learning about Quantum theory from molecules"
3D Rotation Converter, Gaschler 2017
Physics 5103 Advanced Mechanics Syllabus, UAF 2018
Excerpts from Lect 29, UAF 2017
Spin refs, HTC 2018
RelaWavity Drafts
Special Relativity and Quantum Theory by Ruler and Compass - Current Expanded-Earlier draft
Relawavity: A simple way to introduce relativity and quantum theory using ruler & compass geometry
Draft UAF 2017
Current draft via Apple Pages
Current draft via TeX with reference linking
What Einstein left out: Gaining clarity in modern physics curricula
, Draft UAF 2017
Prototype draft via Apple Pages
Latest draft via TeX with reference linking
LearnIt - Physics Web Applications
Comprehensive Listing of Harter-Soft Web Resources for Physics
or Part 1/2 , Part 2/2