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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
2017 Lecture Topics
2017 Detailed Lecture Listing
2016 Info Page
2015 Info Page
2014 Info Page
Lecture 1.
1st axioms and theorems of classical mechanics
(8/22/2017)
Lecture 2.
Analysis of 1D 2-Body Collisions I.
(8/24/2017)
Part 1
Part 2 from 2016
Lecture 3.
Analysis of 1D 2-Body Collisions II:
Reflection groups
(8/29/2017)
Lecture 4.
Kinetic Derivation of 1D Potentials and Force Fields
(8/31/2017)
Lecture 5.
Dynamics of Potentials and Force Fields
(9/5/2017)
Lecture 6.
Geometry of common power-law potentials
(9/7/2017)
Lecture 7.
Kepler Geometry of IHO
(Isotropic Harmonic Oscillator)
Elliptical Orbits
(9/12/2017)
Part 1
Part 2 from 2016
Lecture 8.
Quadratic form geometry and development of mechanics of Lagrange and Hamilton
(9/14/2017)
Lecture 9.
Equations of Lagrange and Hamilton mechanics in Generalized Curvilinear Coordinates (GCC)
(9/19/2017)
Lecture 10.
Hamiltonian vs. Lagrange mechanics in Generalized Curvilinear Coordinates (GCC)
(9/21/2017)
Lecture 11.
Poincare, Lagrange, Hamiltonian, and Jacobi mechanics
(9/28/2017)
Lecture 12.
Complex Variables, Series, and Field Coordinates I.
(10/3/2017)
Lecture 13.
Complex Variables, Series, and Field Coordinates II.
(10/5/2017)
(Ch. 10 of Unit 1),
, Video
, Video with processed audio
Lecture 14.
Introducing GCC Lagrangian`a la Trebuchet* Dynamics
(10/10/2017)
(*treb-yew-shay)
Ch. 1-3 of Unit 2 and Unit 3 (Mostly Unit 2.),
, Video
Lecture 15.
GCC Lagrange and Riemann Equations for Trebuchet
(10/12/2017)
(Ch. 1-5 of Unit 2 and Unit 3),
, Video
Lecture 16.
Hamilton Equations for Trebuchet and Other Things
(10/19/2017)
(Ch. 5-9 of Unit 2),
, Video
Lecture 17.
Reimann-Christoffel equations and covariant derivative
(10/24/2017)
(Ch. 4-7 of Unit 3),
, Video
Lecture 18.
Electromagnetic Lagrangian and charge-field mechanics
(10/26/2017)
(Ch. 2.8 of Unit 2),
, Video
Lecture 19.
Classical Constraints: Comparing various methods
(10/31/2017)
(Ch. 9 of Unit 3),
, Video
Lecture 20.
Introduction to classical oscillation and resonance
(11/2/2017 and 11/7/2017)
(Ch. 1 of Unit 4),
, Video 11/2
, Video 11/7
,
Smith Chart (Graph paper)
Lecture 21.
Introduction to coupled oscillation and eigenmodes
(11/7/2017 and 11/9/2017)
(Ch. 2-4 of Unit 4),
, Part 1
Part 2 from 2016
Lecture 22.
Introduction to Spinor-Vector resonance dynamics
(11/14/2017)
(Ch. 2-4 of Unit 4 Ch. 6-7 of Unit 6),
, Video
Lecture 23.
U(2)~R(3) algebra/geometry in classical or quantum theory
(11/16/2017)
(CM w/BANG! Units 4-6, QTCA - Ch. 10A-B of Unit 3), (PSDS - Sec. 1-3 of Ch. 5 and Ch. 7)
,
, Video
Lecture 24.
Parametric Resonance and Multi-particle Wave Modes
(11/21/2017)
(Ch. 7-8 of Unit 4-CMwBang 11.21.17)
,
, Video
Lecture 25.
Introduction to Orbital Dynamics
(11/28/2017)
(Ch. 2-4 of Unit 5)
,
, Video
Lecture 26.
Geometry and Symmetry of Coulomb Orbital Dynamics I.
(11/30/2017)
(Ch. 2-4 of Unit 5)
,
, Video
Lecture 27.
Geometry and Symmetry of Coulomb Orbital Dynamics II.
(12/5/2017)
(Ch. 2-4 of Unit 5)
,
, Video
Lecture 28.
Multi-particle and Rotational Dynamics
(12/7/2017)
(Ch. 2-7 of Unit 6)
,
, Video
Lecture 29.
R
e
l
a
W
a
v
i
t
y
and a novel introduction to relativistic mechanics I.
(12/14/2017)
(Unit 8)
,
, Video
Lecture 30.
R
e
l
a
W
a
v
i
t
y
and a novel introduction to relativistic mechanics II.
(12/14/2017)
(Unit 8)
,
, Video
Assignments
Assignment 1.
Due Tues. (8/29/2017)
Solutions 1.
Assignment 2.
Due Tues. (9/5/2017)
Solutions 2.
Assignment 3.
Due Tues. (9/12/2017)
Solutions 3.
Assignment 4.
Due Tues. (9/19/2017)
Graph Paper:
Cartesian w/diagonal line (Vertical range [-4,6])
Solutions 4.
Assignment 5.
Due Tues. (9/26/2017)
Solutions 5.
Assignment 6.
Due Tues. (10/3/2017)
Solutions 6.
Assignment 7.
Due Tues. (10/10/2017)
Solutions 7.
Assignment 8.
Due Tues. (10/24/2017)
Solutions 8.
Assignment 9.
Due Tues. (10/31/2017)
Solutions 9.
Assignment 10.
Due Tues. (11/7/2017)
Solutions 10.
Assignment 11.
Due Tues. (11/14/2017)
Solutions 11.
Assignment 12.
Due Tues. (11/21/2017)
Solutions 12.
Assignment 13.
Due Thurs. (11/30/2017)
Solutions 13.
Assignment 14.
Due Thur. (12/7/2017)
Solutions 14.
Assignment 15. - Acting as Final Exam
,
Due Thurs. (12/14/2017)
➱
Note
the special two part aspect of this exam
Solutions 15.
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
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"
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
Part 2 from 2016
, Video with processed audio
, Video 11/7 ,
Smith Chart (Graph paper)
Part 2 from 2016