The example sheets below contain exercises for you to attempt before the tutorials. As a guideline, there is one example
sheet to complete for each week. The tutorials are intended to answer your questions on these exercises. The solutions will be
posted only when all exercises have been attempted.
The handouts below contain additional material to be read between lectures. They are meant to be used as a preparation for the lectures
and should be read before the week indicated in each bullet point. The MATLAB codes will further help you to experiment with PDEs.
The above course materials are self-contained and you do not need to buy any textbooks.
We will study several basic topics in calculus and applied mathematics,
which are covered in hundreds of available texts in the library.
The following books all contain some material you will meet in the course.
J Stewart: Calculus, Early Transcendentals, Thomson, fifth edition (international student edition), 2003.
(Useful for the first part of the course and vector calculus.)
R Haberman: Elementary Applied Partial Differential Equations with Fourier
Series and Boundary Value Problems, (Third edition) Prentice-Hall, 1998.
(Useful for the section on Fourier Series and introduction to PDEs.)
KW Morton and DF Mayers: Numerical solution of partial differential equations, Cambridge University Press, 2005.
(Useful for the sections of finite difference methods and numerical analysis.)
HM Schey: Div, Grad, Curl, and all that: an Informal Text on Vector Calculus, New York: W. W. Norton, various editions.
(Useful for the final few weeks of the course when we tackle vector calculus.)