20411 Online Resources (2015-2016)

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

At the above times, I am guaranteed to be in my office. Students may see me at those times to discuss MATH20411 without an appointment. If you want to meet me at another time, just send me an email to arrange it.


The course syllabus is available from the School of Mathematics web site.

Lectures and Examples Classes

Online Lecture Notes

I will post summaries of lecture notes (roughly every two weeks) below. These should be used to supplement your own notes taken in lectures. To actively engage with the material in the course, students must also take their own notes. Passively reading online notes is no substitute for actually doing mathematics.

Students who have special learning plans, as directed by the DSO, should contact me at the start of term to make any necessary arrangements.


Additional material in the form of handouts, to read between lectures, will be made available online below. I will usually also give out paper copies of these at the end of lectures.

Example Sheets

On average, there is one example sheet per week. However, questions are grouped according to topics. Therefore, the numbering of the examples sheets will not necessarily correspond to the week number. This is no reason to panic. Below, I will indicate which questions you should attempt in which weeks.

Some sheets will certainly have more questions than you will be able to do in one week, but these can be used for revision later. Example classes start in week 2. There will be many students in the examples class, so you will get the most benefit out if the class of 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.

Numerical Analysis

The material in Section 5 on finite difference methods will give students their first taste of numerical analysis. This is a branch of applied mathematics with many important practical applications in the real world. For more details, and a list of other numerical analysis courses, see the Numerical Analysis undergraduate student pathway.


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.

A useful summary of basic commands is given here: MATLAB essentials

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 will study several basic topics in calculus and applied mathematics, which are covered in hundreds of available texts in the library. However, the following books all contain some material you will meet in the course.


The coursework test (worth 20%) has taken place. Scripts were returned in the examples classes. Unclaimed scripts can be collected from reception.

Solutions are available here .

Exam Revision Resources

Past papers are available from the main School of Mathematics website . Apart from the sample paper, solutions to exam papers are not provided. Solutions to examples sheets and the sample exam will help you revise.

The following documents provide feedback on general performance on past exam papers and common mistakes.