MAT 343 - Applied Linear Algebra

Spring 07, MWF 12:15-1:30, PSA 109, ECA-221(dates will be announced in class) (Computer Lab)

Instructor: Zdzislaw Jackiewicz

Office: GWC 644, Phone: 965-0082

Office Hours: MWF 1:00-2:00

Textbook: "Introduction to Linear Algebra", Third edition, by Gilbert Strang, Wellesley-Cambridge Press, Wellesley MA, 2003

Syllabus

Chapter 1: Introduction to Vectors
Chapter 2: Solving Linear Equations
Chapter 3: Vector Spaces and Subspaces
Chapter 4: Orthogonality

Chapter 5: Determinants

Chapter 6: Eigenvalues and Eigenvectors

Chapter 7: Linear Transformations

Chapter 8: Applications

Chapter 9: Numerical Linear Algebra

Midterm, Final Exam, Homework Assignments
Midterm 40 pts (four problems)
Homework assignments Some may require Matlab programming language
Final Exam 40 pts (four problems)
Midterm will be announced at least one week in advance

Grading Policy
Midterm 40 pts
Homework assignments 20 pts
Final Exam 40 pts
Total 100 pts
A: 90% and above; B: 80%-90%; C: 70%-80%; D: 60%-70%; E: below 60%.

Recommended Homework Assignments
Set 1.1 4, 6, 9, 11, 12, 13, 16, 17, 20, 22, 25, 28
Set 1.2 3, 5, 7, 9, 11, 12, 15, 17, 21, 23, 25, 26, 28, 31
Set 2.1 2, 3, 5, 7, 9, 15, 17, 19, 23, 24, 26, 29, 31, 32, 34
Set 2.2 3, 4, 6, 8, 13, 14, 16, 18, 20, 24, 26, 29, 30
Set 2.3 1, 3, 5, 7, 9, 12, 14, 18, 25, 27
Set 2.4 5, 7, 9, 15, 33
Set 2.5 1, 22, 24, 31
Set 2.6 6, 12, 15, 20
Set 2.7 2, 4, 6, 20, 22
Set 3.1 1, 3, 5, 9, 11, 15, 20, 23, 25
Set 3.2 2, 4, 6, 8, 10, 14, 16
Set 3.3 3
Set 3.4 2, 4, 6
Set 3.5 2, 3, 6, 8, 11, 12, 14, 16, 19, 21, 23, 26, 29, 30, 34, 36, 40, 42
Set 3.6 1, 2, 3, 4, 12, 16, 17, 18
Set 4.1 3, 13, 14, 18, 21, 30
Set 4.2 1, 3, 6, 11, 16, 20, 21
Set 4.3 1, 5, 7, 9
Set 4.4 3, 6, 8, 11, 13, 15, 16, 18, 20, 21, 22
Set 5.1 1, 2, 4, 7, 13, 14, 15, 16, 27
Set 5.2 2, 12, 13
Set 5.3 1, 6, 17, 18, 32, 33
Set 6.1 3, 4, 5, 9, 13, 14, 25, 28
Set 6.2 1, 3, 7, 8, 15, 16, 22
Set 6.3 1, 4, 5, 8, 17, 19, 22
Set 6.4 1, 3, 4, 5
Set 6.5 1, 3, 4, 5, 6, 12, 15, 21
Set 7.1 3, 6, 7, 8, 13, 14, 17
Set 7.2 1, 5, 11, 12

Required Homework Assignments
Hw1 Set 1.1: P. 20, 22; Set 1.2: P. 7, 9, 17, 25
Hw2 Set 2.1: P. 5, 17; Set 2.2: P. 6, 13, 18, 26; Set 2.3: P. 3, 25; Set 2.4: P. 7; Set 2.5: P. 24; Set 2.6, P. 6; Set 2.7, P. 22
Hw3 Set 3.1: P. 4, 10, 19; Set 3.2: P. 1, 18; Set 3.3: P. 3; Set 3.4: P. 3, 4; Set 3.5: P. 3, 13, 26; Set 3.6, P. 17
Hw4 Set 4.1: P. 3, 13, 14, 18, 21, 30; Set 4.2: P. 1, 3, 6, 11, 16, 20, 21
Hw5 Set 4.3: P. 1, 5, 7, 9; Set 4.4: P. 3, 6, 8, 11, 13, 15, 16, 18, 20, 21, 22
Hw6 Set 5.1: P. 1, 2, 4, 7, 13, 14, 15, 16, 27; Set 5.2: P. 2, 12, 13; Set 5.3: P. 1, 6, 17, 18, 32, 33
Hw7 Set 6.1: P. 3, 4, 5, 9, 13, 14, 25, 28; Set 6.2: P. 1, 3, 7, 8, 15, 16, 22; Set 6.3: P. 1, 4, 5, 8, 17, 19, 22
Hw8 Set 6.4: P. 1, 3, 4, 5; Set 6.5: P. 1, 3, 4, 5, 6, 12, 15, 21
Hw9 Set 7.1: P. 3, 6, 7, 8, 13, 14, 17; Set 7.2: P. 1, 5, 11, 12

Midterm, Final Exam, Homework Assignments
Midterm	40 pts (four problems)
Homework assignments	Some may require Matlab programming language
Final Exam	40 pts (four problems)
Midterm will be announced at least one week in advance

Grading Policy
Midterm	40 pts
Homework assignments	20 pts
Final Exam	40 pts
Total	100 pts
A: 90% and above; B: 80%-90%; C: 70%-80%; D: 60%-70%; E: below 60%.

Recommended Homework Assignments
Set 1.1	4, 6, 9, 11, 12, 13, 16, 17, 20, 22, 25, 28
Set 1.2	3, 5, 7, 9, 11, 12, 15, 17, 21, 23, 25, 26, 28, 31
Set 2.1	2, 3, 5, 7, 9, 15, 17, 19, 23, 24, 26, 29, 31, 32, 34
Set 2.2	3, 4, 6, 8, 13, 14, 16, 18, 20, 24, 26, 29, 30
Set 2.3	1, 3, 5, 7, 9, 12, 14, 18, 25, 27
Set 2.4	5, 7, 9, 15, 33
Set 2.5	1, 22, 24, 31
Set 2.6	6, 12, 15, 20
Set 2.7	2, 4, 6, 20, 22
Set 3.1	1, 3, 5, 9, 11, 15, 20, 23, 25
Set 3.2	2, 4, 6, 8, 10, 14, 16
Set 3.3	3
Set 3.4	2, 4, 6
Set 3.5	2, 3, 6, 8, 11, 12, 14, 16, 19, 21, 23, 26, 29, 30, 34, 36, 40, 42
Set 3.6	1, 2, 3, 4, 12, 16, 17, 18
Set 4.1	3, 13, 14, 18, 21, 30
Set 4.2	1, 3, 6, 11, 16, 20, 21
Set 4.3	1, 5, 7, 9
Set 4.4	3, 6, 8, 11, 13, 15, 16, 18, 20, 21, 22
Set 5.1	1, 2, 4, 7, 13, 14, 15, 16, 27
Set 5.2	2, 12, 13
Set 5.3	1, 6, 17, 18, 32, 33
Set 6.1	3, 4, 5, 9, 13, 14, 25, 28
Set 6.2	1, 3, 7, 8, 15, 16, 22
Set 6.3	1, 4, 5, 8, 17, 19, 22
Set 6.4	1, 3, 4, 5
Set 6.5	1, 3, 4, 5, 6, 12, 15, 21
Set 7.1	3, 6, 7, 8, 13, 14, 17
Set 7.2	1, 5, 11, 12

Required Homework Assignments
Hw1	Set 1.1: P. 20, 22; Set 1.2: P. 7, 9, 17, 25
Hw2	Set 2.1: P. 5, 17; Set 2.2: P. 6, 13, 18, 26; Set 2.3: P. 3, 25; Set 2.4: P. 7; Set 2.5: P. 24; Set 2.6, P. 6; Set 2.7, P. 22
Hw3	Set 3.1: P. 4, 10, 19; Set 3.2: P. 1, 18; Set 3.3: P. 3; Set 3.4: P. 3, 4; Set 3.5: P. 3, 13, 26; Set 3.6, P. 17
Hw4	Set 4.1: P. 3, 13, 14, 18, 21, 30; Set 4.2: P. 1, 3, 6, 11, 16, 20, 21
Hw5	Set 4.3: P. 1, 5, 7, 9; Set 4.4: P. 3, 6, 8, 11, 13, 15, 16, 18, 20, 21, 22
Hw6	Set 5.1: P. 1, 2, 4, 7, 13, 14, 15, 16, 27; Set 5.2: P. 2, 12, 13; Set 5.3: P. 1, 6, 17, 18, 32, 33
Hw7	Set 6.1: P. 3, 4, 5, 9, 13, 14, 25, 28; Set 6.2: P. 1, 3, 7, 8, 15, 16, 22; Set 6.3: P. 1, 4, 5, 8, 17, 19, 22
Hw8	Set 6.4: P. 1, 3, 4, 5; Set 6.5: P. 1, 3, 4, 5, 6, 12, 15, 21
Hw9	Set 7.1: P. 3, 6, 7, 8, 13, 14, 17; Set 7.2: P. 1, 5, 11, 12