Math
261
Linear Algebra Spring 2009
EXAMS:
Make-up Exam: June 15th Monday 11am. M218
There will be
a make-up exam after the final exam
covering all the topics. The make-up exam may be substituted for only
one exam that is missed. (In order to take the make-up exam you must
consult the instructor.)
Final: June
13th Saturday
9.30am. Exam places are M04 (A-ELA) and
M13 (GAR-Z).
Midterm
I: April 7th Tuesday 5:40pm.
Exam places are M05 and M06.
Midterm
II: May 4th Monday 5:40pm. Exam places are M05 (A-KAH) and
M06 (KAN-Z).
Tentative
schedule:
1. Groups, rings, fields.
Matrices.
2. Addition of matrices, multiplication of matrices by scalars, matrix
multiplication. Row equivalence.
3. Invertibility. Systems of linear equations.
4-5. Determinants
6-7. Vector spaces
8-10. Linear dependence, bases.
11. Linear transformations.
12. Kernel, image.
13. L(V,W)
14. Matrix representations.
Textbook:
Linear Algebra I, Cemal Koç
Time
and Place:
Tuesday 9.00-10.30 M103 and Thursday 9.00-10.30 M103
Office
Hours:
Tuesday 10.40-11.30 M218
Grading:
Midterm I 35%, Midterm II 35%, Final 35%
Catalog
Description:
Matrices and systems of linear equations. Vector spaces; subspaces,
sums and direct sums of subspaces. Linear dependence, bases, dimension,
quotient spaces. Linear transformations, kernel, range, isomorphism.
Spaces of linear transformations, Hom (V,W),V*, V** transpose.
Representations of linear transformations by matrices, similarity.
Determinants.
