Instructor: M. C. Pinar (mustafap@bilkent.edu.tr)

Room: 305

Office Hours: Mondays 15:30-17:00, Wednesdays 15:30-17:00.

Textbook and Online Resources:

- Linear Algebra Done Right, S. Axler, Springer-Verlag, Second Edition (available at the Bookstore).
- Lecture
notes by Attila Aşkar (for reference).

**Topics to be covered (in the order below):**

- Vector Spaces
- Finite Dimensional Vector Spaces
- Linear Maps
- Polynomials
- Eigenvalues and Eigenvectors
- Inner Product Spaces
- Operators on Inner Product Spaces
- Operators on Real Vector Spaces
- Operators on Complex Vector Spaces

- Trace and Determinant
- Complements.

Grading

8. The eighth homework is assigned : Exercises 8,9,10,12 from Chapter 7 of Axler, due: 13.12.2005.Make-up policy: It is recommended that you do not miss any examination.

A make-up will only be offered to those with a medical report duly certified

by the University Health Center. The make-up will be given with or after the final

exam and will cover the entire course material.

Homework

25 %

Test I : 8.11.2005

25 %

Final: 21.12. 2005, 9:00 am 50 %

Announcements:

1. The first homework is assigned here.2. The second homework is assigned here.3. The third homework is assigned here.7. The seventh homework is assigned : Exercises 17,21, 23,27 from Chapter 6 of Axler, due: 2.12.2005.4. The fourth homework is assigned : Exercises 6,14,15,21 from Chapter 3 of Axler, due: 20.10.2005.5. The fifth homework is assigned : Exercises 2,3,7,8 from Chapter 5 of Axler, due: 27.10.2005.6. The sixth homework is assigned : Exercises 1,6,10,12 from Chapter 6 of Axler, due: 24.11.2005.

GENERAL ADVICE ON STUDYING FOR THE COURSE

- It is very important that
**you come to each class**. (You will

having read the material to be covered that day

need to read this material at some point anyway!) Reading it

in advance will help you to understand the lecture better.

It also gives you a chance to ask questions about the parts

you did not understand fully. - Please come and ask questions during anytime, but especially during

the office hours. This is the time I am available**exclusively**to

answer your questions.

Cheating has serious consequences. The university policy on

plagiarism will be fully applied if anyone is caught cheating on

the examinations.