These are strange times, and we are all learning how to teach and learn online as we go. Any direct feedback on the online lectures, the notes and the problemsets is welcome! You can either write to me directly or complain via the Academic Office anonymously.

Lectures: in the Zoom link that you can find in the Canvas page for the course; see dates and times in the table below.

Revision Lectures: you can find the pre-recorded revision lectures in Canvas; there will be a Q&A session on Monday 17 May 2021 (4th week) at 10am in the Zoom link that you can find in the Canvas page for the course.

THE WAVE EQUATION	Tue 2 Feb, 11am - 12pm	We will learn how to derive the wave equation in three different mechanical systems. Notes: The wave equation (Last updated: 7 January 2021).
THE D'ALEMBERT SOLUTION	Mon 8 Feb, 11am - 12pm Tue 9 Feb, 11am - 12pm	We will find the general solution to the wave equation, and we will learn how to apply initial and boundary conditions. Notes: General solution to the wave equation (Last updated: 23 February 2021; on page 3, the number of necessary initial conditions has been clarified; on page 6, the number of necessary boundary conditions has been clarified).
ENERGY EQUATION	Mon 15 Feb, 11am - 12pm	Using the example of the stretched string, we will study how energy is conserved and transported by waves. Notes: Energy conservation in the stretched string (Last updated: 7 January 2021).
SINUSOIDAL WAVES	Mon 15 Feb, 11am - 12pm Tue 16 Feb, 11am - 12pm	We will focus on a particular set of solutions to the wave equation that are very convenient to solve problems. Notes: Sinusoidal waves, boundary conditions and transmission problems (Last updated: 21 January 2021; corrected typos below equation (3.23) and in equation (4.8)).
SEPARATION OF VARIABLES	Mon 22 Feb, 11am - 12pm	We will learn a new, more convenient technique to solve the wave equation with two boundary conditions. Notes: Separation of variables and stationary waves (Last updated: 23 February 2021; corrected typo in equation (2.23)).
DISPERSIVE WAVES	Tue 23 Feb, 11am - 12pm	Using sinusoidal waves, we will be able to solve linear problems that are more general than the wave equation but still sustain waves. Notes: Dispersive waves, phase velocity and group velocity (Last updated: 23 February 2021; on page 3, the number of necessary boundary conditions has been clarified; on page 7, an awkward sentence has been rewritten for clarity). Extra resources: Dispersive Wavepacket Plotter (DWP) (courtesy of Christopher Palmer).

PROBLEM SETS

Problem Set I (in or after week 5; updated on 16 February 2021 to correct a typo in the equation of problem 1.6(b)) Problem Set II (in or after week 7; updated on 1 March 2021 to correct a typo in problem 2.9(a))