**Math 416 (Sections B3H+B4H): Abstract Linear Algebra**

**Fall 2008**

**Instructor:** Florin Boca

**Office:** 359 Altgeld Hall

**Phone:** 244-9928

**E-mail:** fboca at math dot uiuc dot edu

**Web page**: https://faculty.math.illinois.edu/~fboca/welcome.html

**Textbook:** *S. Friedberg, A. Insel,*and *L. Spence*,
Linear Algebra, 4th edition, Prentice-Hall, 2003.

**Prerequisites:** MATH 241 or consent of instructor, MATH 347 is
recommended. You may contact the instructor for any queries or concerns.
*Departmental Approval Required.*

**Topics:** Rigorous proof-oriented course in linear algebra.
Topics will include determinants, vector spaces over fields, linear
transformations, inner product spaces, eigenvectors and eigenvalues,
Hermitian matrices, Jordan Normal Form.

**Lectures:** ** MWF 9:00-9:50**, ** 341 Altgeld Hall**

**Office hours:** Tuesday: 5:15-6:15 pm, Thursday: 5-6 pm, or
by appointment.

**Grading policy:** Comprehensive final exam: **35%**; Best two
midterm scores (out of three tests): **40%**;
Homework and quizzes: **25%**.

There will be 14 HW assignments. Assignments # 1,3,5,...,13 will be collected and (randomly) selected problems will be graded. Assignments # 2,4,...,14 will not be collected. Instead, a 15 minute quiz with two problems from that assignment will be given.

Only the best 10 (out of 14) scores will count towards the final score in the class. As a result HW extensions or make-up quizzes are not allowed.

**Homework assignments:**

** HW # 1** (due Friday Sep 5): **Sec.1.1:**
3; **Sec.1.2:** 1,5,16,20; **Sec.1.3:**: 1,9,19,25,31.

** HW # 2** (quiz on Wednesday Sep 10): **Sec.1.3:** 20,27,20;
**Sec.1.4:** 1,2(c,d,e,f),3(a,b,c),12,14; **Sec.1.5:** 1,2(b,c,f).

** HW # 3** (due Wednesday Sep 17): **Sec.1.6:**
1,2(d,e),3(b,c),7,12,13,29,31; **Sec.1.7:**: 1,3.

** HW # 4** (quiz on Friday Sep 26): **Sec.2.1:**: 1,5;
**Sec.2.2:** 1,4; **Sec.2.3:** 2,3,12,13,16,17.

** HW # 5** (due Friday Oct 3): **Sec.2.4:** 1,2,4,7;
**Sec.2.5:** 1,3,6,9; **Sec.2.6:** 3,5.

** HW # 6** (quiz on Friday Oct 10): **Sec.3.1:** 1,2,3,12;
**Sec.3.2:** 1,2,7,14,21,11.

** HW # 7** (due Friday Oct 17): **Sec.3.2:** 5,18,19;
**Sec.3.3:** 1,4,7; **Sec.3.4:** 2(b,d,i),4,8,12.

** HW # 8** (quiz on Wednesday Oct 22): **Sec.4.2:** 1,4,12,20;
**Sec.4.3:** 4,6,10,11,12,13.

** HW # 9** (due Friday Oct 31): **Sec.4.4:** 4(b,e,g),6;
**Sec.4.5:** 1,15; **Sec.5.1:** 1,3,4(a,e,g,h),9,20,21.

** HW # 10** (quiz on Monday Nov 10): **Sec.5.2:**
1,2(a,b,e,g),3(a,c,f),4,7,19;
**Sec.5.4:** 1,2(a,b,d),17,18.

** HW # 11** (due Friday Nov 14): **Sec.5.4:** 27,37,41,42;
**Sec.6.1:** 20,23,24; **Sec.6.2:** 1,2(a,c,d,g),16.

** HW # 12** (quiz on Wednesday Nov 19): **Sec.6.1:**
1,27; **Sec.6.2:** 14,15,18,22; **Sec.6.3:** 10,21; **Sec.6.4:**
2,6,7.

** HW # 13** (due Wednesday Dec 3): **Sec.6.4:** 14,15,17,20;
**Sec.6.5:** 2(b,d,e),5,8; **Sec.6.6:** 7,8; **Sec.7.1:** 7.

** HW # 14** (quiz on Wednesday Dec 10): **Sec.6.4:**
10,19,22; **Sec.6.5:** 14,21; **Sec.7.1:** 2,3; **Sec.7.2:**
3,4; **Sec.7.3:** 2.

**Midterm exams:** **Midterm 1:** Wed Oct 1, 8:50-9:50 am;
**Midterm 2:** Mon Nov 3, 8:50-9:50 am; **Midterm 3:** Wed Dec 3,
8:50-9:50 am.

**Final exam: 1:30-4:30 pm**, Mon **Dec 15 **,
**341 Altgeld Hall**.

Last modified: *December 1, 2008*