Fundamentals of Pure Mathematics 2012/13.
Class meets 12:10-13:00 on Mondays, Tuesdays, Wednesdays and Fridays in Lecture Theatre A, JCMB.
Workshops have already begun, and take place every week on Thursdays in 3217 JCMB.
The current list of typos is here.
- The course follows the book Groups by Jordan and Jordan. Every student is expected to have a copy. The library entry is here.
*New*: Please give course feedback here. Ease login is required, then click "Give course feedback" at the top of the page.
The exam guidance, saying what is and what is not examinable, is here. It also explains the format of the exam, and links to suitable practice problems.
The course outline, saying what was (and what will be) covered in class is here
The chapters 1-15 were covered in lectures and will be examinable. A file saying when each section of the book was covered is here
Some people have asked for suggestions of further reading material. You are not required to read these, but here are some that might interest you:
Algebra by Mike Artin. The library entry is here
There are many good free online notes on Group Theory. For example, some good online notes (covering much of what we do, but at a slightly higher level) can be found here.
You can download your very own dodecahedron 2013 calendar here. If you are ambitious, try this.
The pictures showing 5 tetrahedron packed into a dodecahedron are here and here. The picture showing the dualities for Platonic solids is here.
Workshop 1, Workshop 2, Workshop 3, Workshop 4, Workshop 5.
(solutions are at the end of the files)
Problems for Handin:
Workshop 1, Question Q1(b). Due 24th January (at the Workshop in Week 2).
Workshop 2, Question 1(b)(c) (Question 1, not Example 1). Due 31st January (at the Workshop in Week 3).
Workshop 3, Q(2). Due 7th Feb (at the Workshop in Week 4).
Workshop 4, Q1, Q2(a). Due 14th Feb (at the Workshop in Week 5).
Workshop 5, Q2(b). Due 28th Feb (at the Workshop after ILW).
Sheet 1, Sheet 2, Sheet 3, Sheet 4, Sheet 5.
Solutions: Solutions 1, Solutions 2, Solutions 3, Solutions 4, Solutions 5.
Tues 15th Jan: 1.1, 1.3, 1.8
Fri 18th Jan: 1.6, 1.9 and revise questions in Jordan--Jordan Chapter 2.
Tues 22nd Jan: 2.2, 2.5, 2.8
Fri 25th Jan: 2.18, and Jordan-Jordan Chapter 6, Ex 15, 16.
Tues 29th Jan: 3.1, 3.7, 3.8.
Fri 1st Feb: 3.13, 3.14, Jordan-Jordan Chapter 9, Ex 6--8.
Tues 5th Feb: 4.5, 4.7, 4.9.
Fri 8th Feb: 4.15 + selection of problems from Jordan-Jordan Chapter 12.
Tues 12th Feb: 5.2, 5.6, 5.14.
Fri 15th Feb: 5.19, 5.21, 5.22.