06-240/On The Final Exam
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In Preparation
The information below is preliminary and cannot be trusted! (v)
Our final exam is coming up. It will take place at BN3 - room 3 of the Clara Benson Building, 320 Huron Street (south west of Harbord cross Huron, home of the Faculty of Physical Education and Health) on Wednesday December 13 from 2PM until 5PM. It will consist of 5-6 questions (each may have several parts) on everything that we will have covered in class this semester:
- Fields and vector spaces.
- Spans, independence, replacement and bases.
- Linear transformation, rank, nullity, matrices.
- Row and column reduction and elementary matrices, systems of linear equations.
- Determinants.
- Change of basis and diagonalization.
- Several other "smaller" topics.
As for the style -
- You can expect to be asked to reproduce some proofs that were given in class.
- You can expect some fresh things to prove, though generally not as hard as the previous type of proofs.
- You can expect questions (or parts of questions) that will be identical or nearly identical to questions that were assigned for homework.
- You can expect some calculations (but nothing that will require a calculator).
Basic calculators (not capable of displaying text or sounding speech) will be allowed but will not be necessary. You may wish to bring one nevertheless, as under pressure often comes out to be .