MATH10222, applications of calculus

Revision before you begin

This course makes heavy use of vectors, solution of ordinary differential equations and complex numbers. You will struggle to pass this course if you are not entirely comfortable with A-level (or equivalent) material, all of the content of MATH10121 (Calculus and Vectors), and the first half of MATH10222.
Some very basic things that should be entirely trivial for you.
You do not need to have done any `mechanics' courses before taking this part of MATH10222, this course is quite different from the usual A-level mechanics material. You do not need to buy a text book for this course.

Time commitment

This course amounts to one-third of your credit load for the semester. As such, you should be spending a total of about 10 to 12 hours (typically) on this material each week, only 5 of these hours are lectures/supervisions. The additional time is to be spent reviewing the lecture notes and working through the problem sheets.

Problem sheets

Material will be posted here as the course progresses. You are expected to attempt ALL questions, not just the starred ones. The star is to indicate which questions will fit into a one-hour small-group supervision class discussion.


This piece of coursework is due in week 9, and will contribute five percent of your total mark for the course.

Results of the coursework test are available as a text file above. The marks are out of 10, and ordered by student ID number. This coursework contributes 5% of your final mark.

Your answer sheet will be returned in the supervision classes of week 11/12. I will then give some feedback in the last lecture, to help anyone that did not get the full 10 marks.

Solution sheets

Lecture notes

Material will be posted here as the course progresses. If you have any questions regarding the online notes please contact me.

Getting help with this course

All students have small-group feedback classes for this class. As a first point of contact, ask your supervisor for help with any problem sheets or concepts. If you cannot resolve your problem in this way, feel free to discuss it with me at the end of a lecture, email me for an appointment, or come along to my office hour during the semester.

Sample examination content for section B

A sample for my half of the examination paper is available.

More past papers are available (University log-in needed).

Sample solutions for section B

Solutions to the sample paper are now available here .

Examination Feedback

Feedback on the most recent exam paper (academic year 2013/14) is available.

Using this material

This work is licensed under a Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK: England & Wales License.