MATH36022 Online Resources (2017)
See the course syllabus and see how this course fits in the Numerical Analysis Pathway.
The coursework test will take place on Tuesday 28th March in G.107 (note the room change). It will cover the first two sections of the course: Approximation Theory and Quadrature.
In week 9, on Thursday, we will have two lectures (since we will lose the Tuesday lecture for the coursework test).
Lecturer: Dr. Catherine Powell
Office: 1.124, Alan Turing Building. Office Hours: Monday 2-3, 3-4.
Lectures: Tuesday, 2pm, Alan Turing G.207, Thursday 3pm, Stopford Theatre 3. Example Class: Thursday 4pm, Stopford Theatre 3.
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. If you are not confident with MATLAB don't panic. 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.
Occasionally, we will need results from analysis from earlier courses. These results are summarised in the above document. Students are expected to know these results and should be prepared to use them during the course wherever necessary.
Some online lecture notes and supplementary materials, to be read in between lectures, will be provided. These can be accessed from the links below. I will usually also give out paper copies. However, students are also expected to take their own notes in the lectures. Anyone with special support needs or special circumstances preventing them from attending lectures should contact me to make arrangements.
I will post full notes (but without all the details of the proofs) when each section is complete. These have been adapted from notes written by Nick Higham for an older version of this course.
Approximation of functions
Summary of approximation theory notes . (University log in required).
Summary of quadrature notes . (University log in required).
Numerical methods for solving ODEs
The following will be available in due course:
Summary of numerical methods for ODEs notes . (University log in required).
I will usually post one set of solutions per week (after the examples class). I will indicate below which questions you should be able to do in which week.
Of all the text books that appear on the official reading list, the one I recommend most is:
- Endre Suli and David F. Mayers. An Introduction to Numerical Analysis. Cambridge University Press, Cambridge, UK, 2003
Coursework is worth 20% and will take the form of an in-class test. An example of a past coursework test is available HERE and solutions are HERE . Note, however, that this year the test will cover both approximation theory AND quadrature (the sample test does not cover quadrature).
Exam resources and feedback
Tutorials will provide an opportunity for students' work to be
discussed and provide feedback on their understanding. Coursework or
in-class tests (where applicable) also provide an opportunity for
students to receive feedback. Students can also get feedback on
their understanding directly from the lecturer, for example during
the lecturer's office hour.
Recent past exam papers are avaliable from main School of Mathematics website.
Feedback report on the June 2016 exam.
Feedback report on the May 2015 exam.
Feedback report on the June 2014 exam.