- Syllabus
**NOTE WEDNESDAY CLASS CHANGED TO THURSDAY; OFFICE HOURS ARE MONDAYS 3-4 PM** - 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
**18 JAN 2023: I HAVE ADDED A NEW SECTION 4 ON "VARIABLE-MASS SYSTEMS"** - Handout #7: More on Central-Force Motion
- Problem Set #1
(due 19 January)
**NOTE NEW DUE DATE!!!** - Problem Set #2
(due 30 January)
- Handout #8: Coupled Oscillations and Normal Modes
- Handout #9: Introduction to Waves
- Problem Set #3 (due 6 February)
**CLASS CANCELLED THURSDAY 9 FEBRUARY IN SUPPORT OF THE UCU STRIKE** - Handout #10: Introduction to Perturbation Theory
- Problem Set #4
- Handout #11: The Lagrangian Approach to Mechanics
- Problem Set #5
- Problem Set #6
- Handout #12: The Hamiltonian Approach to Mechanics
- Problem Set #7
**CLASS CANCELLED THURSDAY 16 MARCH AND MONDAY 20 MARCH IN SUPPORT OF THE UCU STRIKE** - Handout #13: Introduction to the Rotation
Group
**23 MAR 2023: I HAVE ADDED A NEW SUBSECTION (PP. 15-18) ON EULER ANGLES**

**PAST FINAL EXAMS:** - Final exams for 2018 and 2019 are available at the UCL Library website.
- 2020 final exam
- This module was not given in 2021.
- 2022 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)

- Syllabus
- Problem Set #1 (due 28 January)
- 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
- Problem Set #2 (due 4 February)
- Handout #5: Solvable Cases of One-Dimensional Motion
- Problem Set #3 (due 11 February)
- Problem Set #4 (due 25 February)
- Problem Set #5 (due 4 March)
- Handout #6: More on Central-Force Motion
- Dr. Baigent's notes on "Polar coordinates and orbital motion" (Math 1302, 2008)
- Problem Set #6 (due 12 March)
**NOTE NEW DUE DATE!!!** - Dr. Baigent's notes on "Motion on a planar curve" (Math 1302, 2008)
- Problem Set #7 (due 19 March)
- Handout #7: Motion constrained to a moving curve
- Dr. Baigent's notes on "Motion on a surface in 3D" (Math 1302, 2008)
- Dr. Baigent's notes on "Variable mass systems" (Math 1302, 2008)
- Problem Set #8 (due 26 March)
- Handout #8: Coupled oscillations and normal modes
- Dr. Baigent's notes on "Oscillations" (Math 1302, 2008)
- Problem Set #9 (reading assignment only)
- Dr. Baigent's notes on waves (Math 1302, 2008)
Possibly also of interest as you prepare for the exam:

- Dr. Baigent's notes on planar motion (Math 1302, 2008)
- Dr. Baigent's notes on systems of interacting particles (Math 1302, 2008)
- Dr. Baigent's Question Sheet #1 (Math 1302, 2008)
- Dr. Baigent's Question Sheet #2 (Math 1302, 2008)
- Dr. Baigent's Question Sheet #3 (Math 1302, 2008)
- Dr. Baigent's Question Sheet #4 (Math 1302, 2008)
- Dr. Baigent's Question Sheet #5 (Math 1302, 2008)
- Dr. Baigent's Question Sheet #6 (Math 1302, 2008)
- Dr. Baigent's Question Sheet #7 (Math 1302, 2008)
- Dr. Baigent's Question Sheet #8 (Math 1302, 2008)

-- last modified 12 May 2023