20411 Online Resources (2013-2014)
Lecturer: Dr. Catherine Powell
Office: 1.124, Alan Turing Building.
Office Hours: Monday 15:00-16:00 and Tuesday 11:00-12:00.
Lectures: Monday 12:00, Chemistry G.51 and Tuesday 17:00, Schuster, Rutherford Theatre.
Example Classes: Students are allocated ONE of the following classes in the Alan Turing building (G.107): Monday 13:00, Tuesday 12:00.
Students will be required to use MATLAB occasionally and should know how to set up vectors, perform mathematical operations on vectors, write simple programmes and plot functions. Demos will be given in examples classes throughout the term and examples given on handouts. Useful MATLAB resources and tutorials can be found on the web, including, HERE. An extensive range of MATLAB manuals are also available at the library.
Online Lecture Notes
Students are required to take their own notes in the lectures. Additional online lecture notes (to be read between lectures) are available below. Note that these are supplementary to lectures. I will usually give out paper copies at the end of lectures.
The material on solving differential equations via finite differences gives a first taste of numerical analysis. This is a branch of applied mathematics with many important applications in the real world. For more details, and a list of other courses on numerical analysis, see the Numerical Analysis undergraduate student pathway.
On average, there is one example sheet per week. HOWEVER - questions are grouped according to topics. Some sheets have more questions than you will be able to do in one week but can be used for revision later. Example classes start in week 2, so you should aim to have done most of sheet 1 for week 2. You will get the most out of the example classes if you try the questions beforehand. You can then ask questions about the problems you are unable to do. You should attend ONE example class per week (not both).
For certain lectures (e.g. the ones on finite difference methods in weeks 9 and 10) students will need the following MATLAB codes. Download the files and save to your P-drive. Open them in the MATLAB editor and read the instructions.
You do not need to buy any textbooks for this course. We cover several topics in calculus and applied mathematics. However, the following books all contain some material you will meet in the course.
- James 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.)
- Morton, K.W., Mayers, D.F, Numerical solution of partial differential equations, Cambridge University Press, 2005.
- (Useful for the section of finite difference methods and numerical analysis.)
- Schey, H. M. 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.)
The Coursework test has now taken place and scripts have been returned.
Students who did not collect their scripts during the lectures and examples classes should now go to reception in the Alan Turing building.
Sample exam paper and solutions
Past papers are avaliable from the main School of Mathematics website . Solutions to these exam papers are not provided. Solutions to examples sheets and the sample exam will help you revise for the exam.
Tips and general advice on taking the 20411 exam
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