MATH36022 Online Resources (2017)

See the course syllabus and see how this course fits in the Numerical Analysis Pathway.


The coursework test took place on Tuesday 28th March. Scripts can be collected from Reception (in the Alan Turing Building) from noon on Friday 31st March. Solutions are available below.

Please use the Easter break to revise everything covered so far, and to review Examples Sheets 1-7.

Available Resources

Lecturer: Dr. Catherine Powell
Email: c_dot_powell_at_manchester_dot_ac_dot_uk
Office: 1.124, Alan Turing Building. Office Hours: Monday 2-3, 3-4.

Lectures: Tuesday, 1pm, 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.

Preliminary Results

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.

Lecture Notes

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 (after Easter):
Summary of numerical methods for ODEs notes . (University log in required).

Example Sheets

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:


Marked scripts will be available to collect from the Reception from noon on Friday 31st March. The mark is out of 30, but the test is worth 20% (of the overall mark for the course). Solutions are available here.

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.