**COURSE OUTLINE**

**FALL, 2005**

**Instructor** **Kyu-Hwan Lee** khlee@math.uconn.edu, MSB 302, 486-3509

**Office Hours** Mon 2:00-4:00, Thur 9:30-10:30

**Course Homepage** http://www.math.uconn.edu/~khlee/math215f05/

**Textbook**

Friedberg, Insel and Spence, *Linear Algebra*, 4th edition, Pearson (ISBN: 0-13-008451-4).

**Grading Scheme**

Homeworks --- 20%, 1st Midterm --- 20%, 2nd Midterm --- 20%, Final --- 40%.

**Midterm tests**

There will be **two** 75 minutes midterm tests. The first one will be on **October 18**, and the second on **November 17**. There will be no make up tests.

**Submission of Homeworks**

Each homework of a week should be handed in at MSB 302 on the Thursday of the following week.

**Brief Description**

This course covers the subject matter of MATH 227 from an enhanced standpoint and in a much more general context, that of a linear space (also called a vector space) over an abstract field of scalars. The key ideas are linear functions, linear dependence and independence, dimension, representation by matrices, effect of change of basis, and canonical forms when the scalars are the complex numbers. As in MATH 227, elementary row operations play a significant role. Proofs written by students are an integral part of the class.

**Homework Problems**

The homework problems will be posted continually as lectures go on.

WEEK 1 (08/29-09/02): No Homework** **

WEEK 2 (09/05-09/09): **1.2 #** 13, 18; **1.3 **# 10, 28**; 1.4 **# 3(c), 5(g), 10 ** **

WEEK 3 (09/12-09/16): **1.5** # 3, 6, 14; **1.6** # 6, 12, 15

WEEK 4 (09/19-09/23): No Homework

WEEK 5 (09/26-09/30): **1.6** # 25, 26; **2.1** # 2, 4, 13, 14

WEEK 6 (10/03-10/07): **2.1** # 18, 28, 35; **2.2** # 5, 11, 16

WEEK 7 (10/10-10/14): No Homework

WEEK 8 (10/17-10/21): No Homework

WEEK 9 (10/24-10/28): ** 2.3** # 3, 11, 12, 15; **2.4** # 3, 7

WEEK 10 (10/31-11/04): **2.4** # 16, 17, 22; **2.5** # 2(d), 4, 6(b), 10, 13

WEEK 11 (11/07-11/11): ** 5.1** # 3(b), (c), 4(d), (i), 8(a), (b), 12, 15(a), 19, 22

WEEK 12 (11/14-11/18): No Homework

WEEK 13 (11/28-12/02): **5.2** # 2(b), (d), 3(b), (e), 7, 11, 12, 18

WEEK 14 (12/05-12/09): Suggested Problems **5.4** # 6(a), (c), 9, 10, 13, 16, 18