Linear Algebra

MATH 3013

Time and Place: TR 2:00-3:15 pm in ES 302
Professor: Igor E. Pritsker
Office: MSCS 519C
Office Hours: TR 10:30-11:30 am
Office Phone: 744-8220
E-mail: igor@math.okstate.edu
Web: http://www.math.okstate.edu/~igor/
Textbook: Linear Algebra, by David Poole, Brooks/Cole, 4th ed.

Grading: We shall have two semester tests and the Final Exam. The break up of your course grade is as follows:

Tests 1-2 50% (25% each)

Quizzes 10%

Final Exam 40%

Your grade will be determined according to the scale

A 90-100

B 80-89

C 70-79

D 60-69

F 59 and lower

Note that the above numbers are percentages of the highest possible score in the course.

Attendance is mandatory in this class.

Quizzes: Be prepared for short quizzes (1-2 problems, 10 minutes). They will be given without prior announcement. All quizzes are based on your home assignments. Two lowest quiz grades will be dropped. No make-up quizzes will be given regardless of the reason why a quiz was missed.

Homework will be assigned daily (see the schedule). It is required that you complete all homework. This is critical for your success in the course. In addition, all graded assignments are based on the homework problems.

Recommended Learning Method:

Before we start any section, read it in the textbook. Keep a list of questions you encounter while studying.
When we cover this material in class, ask me any prepared or unprepared question and resolve any difficulty you might have had.
Start working on the assigned homework immediately after we covered the necessary topics. It is helpful to read the text again before doing your homework, and in case you have difficulties with a problem.
Write down a detailed solution of every problem. Use tutorial assistance at MLSC and/or come to my office hours if needed.

Make-up Exams are given only in cases of serious illness or extreme emergency that prevents you from taking a test at the specified time. You have to contact me before the test and communicate all circumstances. Furthermore, you must appear in person, with supporting documents, to discuss the situation as soon as possible.

Technology: You may find that calculators and other electronic devices can sometimes simplify your computations. However, they are not essential for learning purposes, and their use will not be allowed during quizzes and tests.

MLSC stands for the Mathematics Learning Success Center located on the 5th floor of Edmon Low Library. You can receive invaluable tutoring help at MLSC.

University Syllabus Attachment: Contains drop deadlines and procedures, as well as many other important dates and university policies.

Brief Schedule
Chapter 1 Chapter 2 Test 1 Chapter 3 Chapter 4 Test 2 Chapter 5 Chapter 6 Final Exam

**Brief Schedule**
Chapter 1	Chapter 2	Test 1	Chapter 3	Chapter 4	Test 2	Chapter 5	Chapter 6	Final Exam

Notes: All homework problems below are to be assumed odd numbered, unless it is indicated otherwise.

Detailed Schedule
Wk Date Sec Page Topic Homework

1 T, Jan 16 1.1 3 The Geometry and Algebra of Vectors 5-19

R, Jan 18 1.2 18 Length and Angle: The Dot Product 3-9, 13-19, 25, 31, 41, 43, 49, 61

2 T, Jan 23 1.3 34 Lines and Planes 1-13, 23, 43

R, Jan 25 2.1/2.2 58/64 Introduction to Systems of Linear Equations 2.1: 11-21, 33-37; 2.2: 5-13

3 T, Jan 30 2.2 64 Direct Methods for Solving Linear Systems 17-21, 25-29, 35, 37

R, Feb 1 2.3 88 Spanning Sets and Linear Independence 1-5, 9-15

4 T, Feb 6 2.3 88 Spanning Sets and Linear Independence 23-29, 35-43

R, Feb 8 2.4 99 Applications/Review 15-21

5 T, Feb 13 Test 1

R, Feb 15 3.1 138 Matrix Operations 1-17, 23, 25

7 T, Feb 27 3.2 154 Matrix Algebra 3-7, 11, 13, 23, 29, 37, 39

R, Mar 1 3.3 163 The Inverse of a Matrix 1-5, 9-13, 25, 27, 31-39, 49-55

8 T, Mar 6 3.4 180 The LU Factorization 1, 3, 7, 9, 15, 19

R, Mar 8 3.5 191 Subspaces, Basis, Dimension, and Rank 1-15, 17-29

9 T, Mar 13 3.5 191 Subspaces, Basis, Dimension, and Rank 35-41, 45, 47, 51

R, Mar 15 3.6 211 Introduction to Linear Transformations 3-17, 21, 25

10 T, Mar 20 Spring Break

R, Mar 22 Spring Break

11 T, Mar 27 3.6 211 Introduction to Linear Transformations 31-39, 47-51

R, Mar 29 3.7 230 Applications 1-9, 45-59

12 T, Apr 3 4.1 254 Introduction to Eigenvalues and Eigenvectors 5-15, 23, 25

R, Apr 5 4.2 263 Determinants 1-15, 23-31, 47-51, 57, 59

13 T, Apr 10 4.3 292 Eigenvalues and Eigenvectors of nxn Matrices 3-11, 15-19

R, Apr 12 4.4 301 Similarity and Diagonalization/Review 1-17

14 T, Apr 17 Test 2

R, Apr 19 5.1 368 Orthogonality in Rⁿ 7-19

15 T, Apr 24 5.2 378 Orthogonal Complements and Orthogonal Projections 1-5, 11-21

R, Apr 26 5.3 388 The Gram-Schmidt Process and the QR Factorization 1-9, 13-17

16 T, May 1 5.4 400 Orthogonal Diagonalization of Symmetric Matrices 1-11

R, May 3 Final Review

17 T, May 8 Final Exam (ES 302, 2:00-3:50 p.m.)

Wk	Date	Sec	Page	Topic	Homework
1	T, Jan 16	1.1	3	The Geometry and Algebra of Vectors	5-19
1	R, Jan 18	1.2	18	Length and Angle: The Dot Product	3-9, 13-19, 25, 31, 41, 43, 49, 61
2	T, Jan 23	1.3	34	Lines and Planes	1-13, 23, 43
2	R, Jan 25	2.1/2.2	58/64	Introduction to Systems of Linear Equations	2.1: 11-21, 33-37; 2.2: 5-13
3	T, Jan 30	2.2	64	Direct Methods for Solving Linear Systems	17-21, 25-29, 35, 37
3	R, Feb 1	2.3	88	Spanning Sets and Linear Independence	1-5, 9-15
4	T, Feb 6	2.3	88	Spanning Sets and Linear Independence	23-29, 35-43
4	R, Feb 8	2.4	99	Applications/Review	15-21
5	T, Feb 13	Test 1
5	R, Feb 15	3.1	138	Matrix Operations	1-17, 23, 25
7	T, Feb 27	3.2	154	Matrix Algebra	3-7, 11, 13, 23, 29, 37, 39
7	R, Mar 1	3.3	163	The Inverse of a Matrix	1-5, 9-13, 25, 27, 31-39, 49-55
8	T, Mar 6	3.4	180	The LU Factorization	1, 3, 7, 9, 15, 19
8	R, Mar 8	3.5	191	Subspaces, Basis, Dimension, and Rank	1-15, 17-29
9	T, Mar 13	3.5	191	Subspaces, Basis, Dimension, and Rank	35-41, 45, 47, 51
9	R, Mar 15	3.6	211	Introduction to Linear Transformations	3-17, 21, 25
10	T, Mar 20	Spring Break
10	R, Mar 22	Spring Break
11	T, Mar 27	3.6	211	Introduction to Linear Transformations	31-39, 47-51
11	R, Mar 29	3.7	230	Applications	1-9, 45-59
12	T, Apr 3	4.1	254	Introduction to Eigenvalues and Eigenvectors	5-15, 23, 25
12	R, Apr 5	4.2	263	Determinants	1-15, 23-31, 47-51, 57, 59
13	T, Apr 10	4.3	292	Eigenvalues and Eigenvectors of nxn Matrices	3-11, 15-19
13	R, Apr 12	4.4	301	Similarity and Diagonalization/Review	1-17
14	T, Apr 17	Test 2
14	R, Apr 19	5.1	368	Orthogonality in Rⁿ	7-19
15	T, Apr 24	5.2	378	Orthogonal Complements and Orthogonal Projections	1-5, 11-21
15	R, Apr 26	5.3	388	The Gram-Schmidt Process and the QR Factorization	1-9, 13-17
16	T, May 1	5.4	400	Orthogonal Diagonalization of Symmetric Matrices	1-11
16	R, May 3	Final Review
17	T, May 8	Final Exam (ES 302, 2:00-3:50 p.m.)