Math 221 2007 Fall
Linear Algebra for Scientists and Engineers

Instructor: Csaba D. Tóth
Office hours: T 14-15 in MS432
Email: cdtoth

Teaching Assistant: Kevin Saff

Lectures: TR 9:30-10:45 in room ST141
Tutorials:
LAB 9: W 10:00-10:50 in ST064, instructor: Csaba D. Tóth
LAB 10: W 10:00-10:50 in MS569 ENF334, instructor: Kevin Saff
LAB 11: W 11:00-11:50 in MS371, instructor: Csaba D. Tóth
LAB 12: W 11:00-11:50 in MS325, instructor: Kevin Saff

Continuous Tutorial: If you have any questions during the semester, you can drop by to the continuous tutorial every weekday:
MTWR 12-15 in MS569
F 13-15 in MS569.

Textbook: Keith Nicholson, Linear Algebra with Applications, 5th edition, McGraw-Hill, 2006, Toronto. ISBN: 007092277-2.
The grades will be based on 50% Final exam, 25% Midterm exam (October 23), and 25% Quizzes (best 4 out of 5 quizzes).

Syllabus

Practice Quiz 1 (solutions)
Practice Quiz 2 (solutions)
Practice Midterm (solutions)
Midterm score distribution
Practice Quiz 3 (solutions)
Practice Quiz 4 (solutions)
Practice Problems for Quiz 5 (solutions)
Extended office hours in MS432:
December 7, Friday, 9-12 and 14-17;
December 10, Monday, 9-12 and 14-17.

The Final Exam in Math 221 will be on December 11, 2007, Tuesday, 3:30-6:30pm.
You can come and look at your marks on December 13, Thursday, 9-12 and 14-17, in MS432.

Final exams can be viewed and unclaimed quizzes can be picked up in my office (MS432) until February 8, 2008, during office hours or by appointment.



Lecture Schedule:

1
 Sep 11, T
 Systems of Linear Equations
 Sec. 1.1-1.2
2
 Sep 13, R
 Gaussian Elimination
 Sec. 1.2
3
 Sep 18, T
 Matrix Rank and Homogeneous Equations
 Sec. 1.3
4
 Sep 20, R
 Applications in Networks, Physics and Chemistry; Matrix Addition
 Sec. 1.4-1.6 & 2.1
5
 Sep 25, T
 Matrix Multiplication (guest lecturer: Thi Dinh)
 Sec. 2.2
6
 Sep 27, R
 Matrix Inverses (guest lecturer: Thi Dinh)
 Sec. 2.3
7
 Oct 2, T
 Elementary Matrices
 Sec. 2.4
8
 Oct 4, R
 Matrix Transformations
 Sec. 2.5
9
 Oct 9, T
 LU-Factorization
 Sec. 2.6
10
 Oct 11, R
 Applications in Markov Chains
 Sec. 2.7-2.8
11
 Oct 16, T
 Determinant and Cofactor Expansion
 Sec. 3.1
12
 Oct 18, R
 review
 Sec. 1.1-3.1
13
 Oct 23, T
 Midterm Exam
 Closed books
14
 Oct 25, R
 Determinants of products and inverses
 Sec. 3.2
15
 Oct 30, T
 Cramer's rule, Eigenvectors and Eigenvalues
 Sec. 3.2-3.3
16
 Nov 1, R
 Diagonalization
 Sec. 3.3
17
 Nov 6, T
 Applications in Dynamic Models
 Sec. 3.4-3.5
18
 Nov 8, R
 Complex numbers
 Appendix A
19
 Nov 15, R
 Roots of polynomials; Vector geometry
 App. A & Sec. 4.1
20
 Nov 20, T
 Lines and Planes in 3-space
 Sec. 4.2
21
 Nov 22, R
 Projections and Distances
 Sec. 4.2
22
 Nov 27, T
 The Cross Product, Area, and Volume
 Sec. 4.3
23
 Nov 29, R
 Matrix transformations in 3-space (guest lecturer: Prof. Norbert Sauer)
 Sec. 4.4
24
 Dec 4, T
 Homogeneous coordinates
 Sec. 4.5
25
 Dec 6, R
 review
 Sec. 1.1-4.5 & A


Tutorial and Quiz Schedule:

1
 Sep 12, W
 No Tutorial today
2
 Sep 19, W
 Gaussian Elimination and Applications
3
Sep 26, W
 1st Quiz
 Sec. 1.1-1.6
4
Oct 3, W
 Matrix addition, multiplication, inverse, and Smith normal form
 1st quiz graded
5
Oct 10, W
 2nd Quiz
 Sec. 2.1-2.5
6
Oct 17, W
 Markov chains
2nd quiz graded
7
Oct 24, W
 Problems about determinants
8
Oct 31, W
 Eigenvalues, diagonalization
9
Nov 7, W
 3rd Quiz
 Sec 3.1-3.3
10
Nov 14, W
 Complex numbers
 3rd quiz graded
11
 Nov 21, W
 4th Quiz
 Sec. 3.4-4.1 & A
12
 Nov 28, W
 Lines and planes
 4th quiz graded
11
 Dec 5, W
 5th Quiz
 Sec. 4.2-4.4