Alan Sokal

Professor of Mathematics, University College London

Office: Maths Dept (UCL Union), Room 800
Office telephone: 020-7679-2844
Office hours: Mondays 3-4 PM, Wednesdays 3-4 PM, and by appointment
E-mail: sokal@math.ucl.ac.uk

MATH0054 (formerly 7302): Analytical Dynamics, Spring 2020

• Syllabus NOTE THAT OFFICE HOURS ARE MONDAYS AND WEDNESDAYS 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
• Handout #7: More on Central-Force Motion
• Problem Set #1

• Handout #8: Coupled Oscillations and Normal Modes
• Problem Set #2

• Handout #9: Introduction to Waves 3 FEBRUARY: SMALL ADDITION MADE TO PAGE 8
• Problem Set #3
• Solutions to Problem Set #3

• Handout #10: Introduction to Perturbation Theory
• Problem Set #4 URGENT UPDATE 13 MARCH: THIS PROBLEM SET WILL NOW NOT BE ASSESSED

• Handout #11: The Lagrangian Approach to Mechanics
• Gregory, Chapter 12
• Problem Set #5 URGENT UPDATE 13 MARCH: THIS PROBLEM SET WILL NOW NOT BE ASSESSED

• Handout #12: The Hamiltonian Approach to Mechanics THIS TOPIC IS NOW AVAILABLE
• Gregory, Chapter 14
• Problem Set #6+7 (condensed) THIS PROBLEM SET WILL NOT BE ASSESSED

MATH3103: Functional Analysis, Spring 2013

• 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

Inaugural lecture, 10 March 2010

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

MATH1302: Applied Mathematics 2, Spring 2009

PRACTICE FINAL EXAM NOW READY: Download here

• 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)