Alan Sokal

Professor of Mathematics, University College London

Office: Maths Dept (UCL Union), Room 800

Office hours: To be arranged
E-mail: sokal@math.ucl.ac.uk

MATH0054 (formerly 7302): Analytical Dynamics, Spring 2022

• 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
• 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
• Problem Set #3

• 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

• Handout #13: Introduction to the Rotation Group

  
  PAST FINAL EXAMS:

• 2014 final exam
• 2015 final exam
• Final exams for 2016, 2017, 2018, 2019 are available at the UCL Registry site.
• 2020 final exam and solutions

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)