Finite dimensional vector spaces are studied in a semi-abstract setting. This is the continuation of the Math 2370 course, see here for the Fall 2009 syllabus. This semester we will put more emphasis on problem-solving, in preparation for the Preliminary Examination in April. Tentative Algebra Preliminary Examination date is April 30th, 9am -12pm.

Alexander Borisov

MWF 12:00-12:50 pm in G26 Benedum Hall.

Th 10:00-10:50 am in 704 Thackeray Hall. Recitations Instructor: Eugene Trofimov.

1) To help the students prepare for the Linear Algebra Preliminary Examination.

2) To help the students formulate their goals to get the most from their graduate school training.

There will be a midterm, a final examination, and the weekly homework assignments (based on the preliminary examination problems from previous years). It is a student's responsibility to attend every lecture, take notes and go over the notes before the next lecture to fully understand the material covered. If for any reason you can not attend a lecture, please get the notes from another student in the class. You should also notify the instructor of your absense. If needed, ask the instructor for help with the missed material. Not all homework may be collected, but it is your responsibility to do it and check with other students whether or not you got it right. If in doubt, seek help from the instructor or the recitation instructor. Recitation may have separate homework.

If you are looking for extra study material and/or problems, check out the Linear Algebra handbook by Igor Yanovsky, UCLA.

Here is the list of the extra problems that we discussed in class this semester.

All problems are from the preliminary examinations, unless noted otherwise.

April 2004 2,3,5a,6b,7a,7b. Due 4/8.

Aug. 2003 1,2,3,5,7,8. Due 4/1 (no joke).

April 2003 Part 1 (Final): 1,2,5,7; Part 2(Prelim): 1. Due 3/25.

April 2002 3,4,5,6,7 Due 3/4.

April 2001 Prelim: 2,3; Final: 1(explanations required),7,10. Due 2/18.

May 2000 1,2,4,5,6. Due 2/11.

Jan. 2003 1,2,3,5,6. Due 2/04.

Jan. 2002 2,3,4,5,6. Due 1/28.

Jan. 2001 1,2,3,4,6. Due 1/21.

Jan. 2000 1,3,5,6. Due 1/14.