- Syllabus
- Handout #1: Newton's First Law and the Principle of Relativity
- Handout #2: Newton's Second Law
- Handout #3: Newton's Third Law
- Handout #4: How to Do Mechanics Problems
- Handout #5: Solvable Cases of One-Dimensional Motion
- Handout #6: Momentum, Angular Momentum, and Energy; Conservation Laws
- What is energy?, Section 4-1 of Volume I of the
*Feynman Lectures on Physics* - Handout #7: More on Central-Force Motion
- Problem Set #1 (due 18 January)
- Problem Set #2
(due 29 January)
**NOW DUE AT BEGINNING OF***AFTERNOON*CLASS - Handout #8: Coupled Oscillations and Normal Modes
- Handout #9: Introduction to Waves
- Problem Set #3 (due 8 February)
- Handout #10: Introduction to Perturbation Theory
- Problem Set #4 (due 19 February)
- Handout #11: The Lagrangian Approach to
Mechanics
**8 FEB 2024: I HAVE ADDED ADDITIONAL COMMENTS IN SECTIONS 1 AND 2** - Problem Set #5 (due 26 February)
- The principle of least action, Chapter 19 of Volume II of the
*Feynman Lectures on Physics* - Problem Set #6 (due 7 March)
- Gregory, Chapter 14
- Handout #12: The Hamiltonian Approach to
Mechanics
**5 MAR 2024: I HAVE ADDED EXAMPLE 2 ON P. 10****11 MAR 2024: I HAVE POINTED OUT A GAP IN EXAMPLE 2 ON P. 10; AND I HAVE ADDED A NEW SECTION 5 (PP. 14-18)****13 MAR 2024: I HAVE FIXED ANOTHER ERROR IN EXAMPLE 2 ON P. 10; COMPLETING THE PROOF IS STILL AN OPEN PROBLEM** - Problem Set #7 (due 18 March)
- Handout #13: Introduction to the Rotation
Group

**PAST FINAL EXAMS:** - 2022 final exam
- 2023 final exam

- Syllabus
- Handout #0: Review of Set Theory
- Handout #1: What is Functional Analysis?
- Problem Set #1
- Handout #2: Compactness of Metric Spaces
- Problem Set #2
- Handout #3: Introduction to Normed Linear Spaces
- Problem Set #3
- Handout #4: Introduction to Hilbert Space
- Problem Set #4
- Handout #5: Spaces of Continuous Functions
- Problem Set #5
- Handout #6: The Hahn-Banach Theorem and the Duality of Banach Spaces
- Problem Set #6
- Handout #7: The Baire Category Theorem and its Consequences
- Problem Set #7

"Between combinatorics and analysis (with a little help from statistical physics)" (PDF file, 4 MB)

-- last modified 11 March 2024