Time | Location | Zoom Meeting ID | Zoom Password |
---|---|---|---|
TTh 12:30-13:00 | ESB 4127 and on Zoom | 684 2674 1683 | 101671 |
F 10:30-11:30 | My office and on Zoom |
This course presents classical mechanics to a mixed audience of mathematics and physics undergraduate and graduate students. It is complementary to regular phsyics courses in that while the physics concepts will be developed the emphasis will be on the underlying mathematical analysis. Students should already have some experience with rigorous mathematics (at UBC via courses like MATH 223, 320, 321), and with classical mechanics (at UBC via courses like PHYS 216). Pre-requisites can be waived: contact the instructor if you wish to discuss this.
Warning: the following information is tentative and subject to change at any time
Chapter | Week | Date | Material | In-class | Notes |
---|---|---|---|---|---|
Kinematics | 1 | T 7/1 | Introduction Configuration space |
Scan | |
Þ 9/1 | Coordinates Tangent vectors |
Scan | |||
Newtonian Mechanics |
2 | T 14/1 | Dynamics Differential Equations |
Scan | |
Þ 16/1 | The Galilean Group Conservation Laws |
Scan | PS1 due | ||
3 | T 21/1 | Examples | Scan | ||
Lagrangian Mechanics |
Þ 23/1 | Calculus of Variations | Scan | ||
4 | T 28/1 | "Direct" appraoch Sobolev spaces |
Scan | ||
Þ 30/1 | Examples | Scan | |||
5 | T 4/2 | Constraints | Scan | ||
Þ 6/2 | Symmetry | Scan | |||
6 | T 11/2 | Angular momentum | Scan | ||
Þ 13/2 | Small Oscillations | Scan | |||
Feb 17-21 | UBC Winter break | ||||
7 | T 25/2 | Rigid Body Motion | Scan | ||
Hamiltonian Mechanics |
Þ 27/2 | Convex Geometry The Legendre transformation |
Scan | ||
8 | T 4/3 | Symplectic Geometry The Hamiltonian Flow |
Scan | ||
Þ 6/3 | Dynamics | Scan | |||
9 | T 18/3 | Thermodynamics ensembles | Scan | ||
Þ 20/3 | Integrable Systems Hamilton--Jacobi |
Scan | |||
Quantum Mechanics |
10 | T 25/3 | Scan | ||
Þ 27/3 | |||||
11 | T 1/4 | ||||
Þ 3/4 | |||||
13 | T 8/4 | ||||
Þ 10/4 | |||||
Final exam | F 25/4 | 8:30-11:30 @ BUCH B318 |
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Clarification: the writings on these pages are generally my own creations (to which I own the copyright), and are made available for traditional academic reuse. If you wish to republish substantial portions (including in "derivative works") please ask me for permission. The material is expressly excluded from the terms of UBC Policy 81.
Last modified Sunday March 30, 2025