How to contact me?

Personally, after the lectures
Email:Robertus [at] sheffield.ac.uk
Tel.: 2223832
Office: H16, Hicks Building

Syllabus for MAS315

This course is designed for Level 3/4 SoMaS student. All Notes, Exercises and Solutions are in pdf format

Detailed Syllabus
Introduction including the HW plan
Chapter 1: Waves on Strings, Exercises 1, Solutions 1
Chapter 2: Use of Fourier Series, Exercises 2, Solutions 2
Chapter 3: Sound Waves and the Equation of Continutity, Exercises 3, Solutions 3
Chapter 4: Surface Waves on Liquids, Exercises 4, Solutions 4
Chapter 5: Modelling Traffic Flow, Exercises 5, Solutions 5
Exam paper from last year: Exam paper with Solutions
Exam paper from two years ago: Exam paper with Solutions

Auxilary Java applets

Here you find a list of Java applests that may help you to visualize the course material.
With time I will add more applets, so watch this space.

Oscillations on finite strings
Simulation of wave motion of a string.
Oscillations of a rectangular membrane
Vibrational modes in a 2-dimensional rectengular membrane.
Oscillations of a circular membrane
Vibrational modes in a 2-dimensional circular membrane.
Fourier series
Frequency analysis of periodic functions.

Reference Literature

R. Knobel: An Introduction to the Mathematical Theory of Waves
American Mathematical Society, 2000
ISBN: ISBN: 0-8218-2039-7 (pbk)
[Covers almost all course material. Excellent book.]

J. Billingham & A.C. King: Wave Motion
Cambridge Texts in Applied Mathematics, CUP, 2001
0-521-634504 (pbk)
[Covers all the course. Many parts of the book may be hard for UK maths UGs.]

G.B. Whitham: Linear and Nonlinear Waves
Pure and Applied Mathematics, Wiley, 1999
0-471-35942 (pbk)
[Covers all the course. Really a text for graduate and research students. Authoritative reference.]

Sir J. Lighthill: Waves in Fluids
Cambridge Mathematical Library, CUP, 2003
ISBN: 0-521-01045 (pbk)
[Covers part of the course on fluid waves. Excellent insight.]


Thanks: I would like to sincerely thank all those colleagues, friends who helped me putting these notes together. Special acknowledgements go to the MAS315 student who found the various typos and errors during the past years.