This course is taught by Dr Stefan Güttel. My office hour is Monday 15–16 in ATB 2.114.
The teaching times are as follows:
Monday 12–13, lecture in Simon Bld, Theatre D
Tuesday 17–18, lecture in Simon Bld, Theatre D
Monday 13–14, tutorial A in ATB G.209
Tuesday 13–14, tutorial B in the ATB G.205
This is a 10 credit course.
The final 2-hour exam takes place on Tuesday, 22nd of January 2019.
Please consult your exam timetable for the precise time and location.
The exam is worth 80% of the overall course mark. Only three of the four questions need to be answered. If more than three questions are attempted, then credit will be given for the first three answers. Electronic calculators may be used, provided that they cannot store text.
The lecture notes should be used to supplement your own notes taken in lectures.
(It is highly recommended that you take your own notes.)
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.)