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 2010 syllabus. This semester we will put more emphasis on problem-solving, in preparation for the Preliminary Examination in April.

Alexander Borisov

MWF 12:00-12:50 pm in 227 Benedum Hall.

Th 10:00-10:50 am in 704 Thackeray Hall. Recitations Instructor: Merve Kovan.

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.

Midterm Examination date is set: February 14th. Study Guide.

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 were discussed in class last spring. We will be using this collection again this semester, modifying and augmenting as needed.

Some information about complexification and real structure.

A brief description of lectures (updated periodically).

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

May 2000 problems 1,2,4,5,6. Due 2/24.

Jan. 2003 problems 1,2,3,5,6. Due 2/10.

Jan. 2002 problems 2,3,4,5,6,7. Due 2/03.

Jan. 2001 problems 1,2,3,4,6. Due 1/27.

Jan. 2000 problems 1,3,5,6. Due 1/20.