Everything you should know about the examination

Here is a trial version of the exam. The format, grading scheme and presentation of the problems are similar to the final exam. In my opinion it is also close in difficulty to the actual final and make-up exams. I would highly recommend you to have a look, better to take it as trail exam by yourself. If you want you may hand in your solutions to me for grading not later than Tuesday December 16th, 15.00. Enjoy!

Trial Exam

The examination is on December 20th, from 9:00 to 13:00. The location will be anounced some days before see the central examination web-page, and it will also appear here.

• The exam covers all material given in the course (lectures, lecture notes, exercises). Read carefully the solutions to the exercises while preparing for the exam!

• The level of the problems will correspond to the level of the exercises and at least one of the problems will be identical to a problem from the exercises sets.

• In general, all answers need to be rigorously justified. Problems would include both computational tasks and theoretical questions. A trial exam will appear here by the end of October. You are welcome to hand it in for grading and feedback.

• Check the topic list, be sure you understand the definitions, examples and main proofs. Don't hesitate to ask for help!

• Practice solving and proving – justifying each step for yourself and others – and expressing your thoughts in a concise and mathematical way. Check the solutions to exercise sets and old examinations to see examples of proper mathematical writing.

• This course requires knowledge of definitions and theorems, as well as understanding of ways of proof. Do not think you can get away with less, because there is no way around knowing the concepts and arguments.

• Remember that you are not suppose to write solutions to all problems, start with ones that you know how to do. You may want to concentrate on computational problems first and left proofs for later. mange your time.

• When giving a proof, write clearly what you know and what you want to show, use the definitions. If you don't see how to prove it try to look at some examples.