This page will contain links to the lecture notes and problem sheets for the 2nd year Classical Mechanics course. You will need your University username and password to download any of the linked PDFs.
The coursework assignment is available to be downloaded here. The marked sheets should be available for collection from the Teaching and Learning Office; worked solutions are available here.
I will add a link to printed notes corresponding to each lecture after that lecture has taken place. These notes will contain much the same material as the lecture, but will not be an exact copy. For that reason it is important that you take notes during the lecture as it is on these that you will be examined.
The original version of these notes was originally written by Dr James Montaldi; all credit goes to him. Please do let me know if you spot any inaccuracies or typos.
Note: I have uploaded new versions of all the PDFs on 26th March — some of you may have noticed that the page numbers in previous versions were not consecutive. Hopefully that's fixed now.
You can also download all the lecture notes, problem sheets and solutions as a single file (1.4 MB PDF, 220 pages) if it's more convenient for you.
- Week 1: Lecture 1 Lecture 2 Lecture 3
- Week 2: Lecture 4
- Week 3: Lecture 5 Lecture 6
- Week 4: Lecture 7 Lecture 8
- Week 5: Lecture 9 Lecture 10
- Week 6: Lecture 11 Lecture 12
- Week 7: Lecture 13 Lecture 14
- Week 8: Lecture 15 Lecture 16
- Week 9: Lecture 17 Lecture 18
- Week 10: Lecture 19 Lecture 20
- Week 11: Lecture 21
I will add a link to problem sheets at the end of each week, by which point you should be able to complete those particular questions.
- Week 1 (solutions)
- Week 2 (solutions)
- Week 3 (solutions)
- Week 4 (solutions)
- Week 5 (solutions)updated 2017-05-02
- Week 6 (solutions)
- Week 7 (solutions)
- Week 8 (solutions)
- Week 9 (solutions)
- Week 10 (solutions)
- Week 11 (solutions)
Revision checklists and practice questions
These PDFs contain a list of topics which you are expected to know for your exam. There are also a few questions at the end for you to practice, with solutions also linked below.
- Part 1: Newton's Laws (solutions)
- Part 2: The Calculus of Variations (solutions)
- Part 3: Lagrange's Equations (solutions)
- Part 4: Potential Wells and Oscillations (solutions)
- Part 5: Hamiltonian Mechanics (solutions)
The 2014, 2015, and 2016 past papers for this module can be found through the university's Past Exams site. Simply search for MATH20512 to get the links. Note that rotating frames are no longer on the syllabus (i.e. question A5 on each of the last three papers).
You can download some feedback on the 2016 exam by following the link.
These will be used again and again in the course, so make sure you're familiar with them:
- vectors, vector products,
- line, surface, and volume integration,
- vector calculus (div, grad, curl),
- Taylor's theorem,
- partial derivatives,
- linear algebra, especially eigenvalues/eigenvectors.
There are two textbooks recommended for this course. They cover a lot more of the subject than we do in lectures, but they do offer further information about the concepts we discuss, and some examples of how they are used.
- T.W.B. Kibble and F.H. Berkshire. Classical Mechanics. Imperial College Press.
- R.D. Gregory. Classical Mechanics. Cambridge University Press.
Copies are available by searching the library catalog, or the Gregory book is available for reading online (requires university username and password: choose Shibboleth login with the University of Manchester as your institution).
Tutorials will provide an opportunity for your work to be discussed, and to provide feedback on your understanding. The coursework assignment will also provide an opportunity for you to receive feedback. You can also get feedback on your understanding of the work directly from me — please come and see me in my office hour (see “Contact details” below) or send me an email with a question, which I will do my best to answer.
Thanks for your feedback forms from week 3. I have uploaded a summary and a response for you to read at your convenience.
My office hours are 10:00–11:00 on Thursdays. If you cannot make this time please feel free to contact me to arrange a meeting.