Linear Algebra

MATH 3013

Time and Place: TR 1:30 - 2:45 p.m. in MSCS 514
Professor: Igor E. Pritsker
Office: MSCS 519C
Office Hours: TR 10:30-11:30 a.m.
Office Phone: 744-8220
E-mail: igor@math.okstate.edu
Web: https://math.okstate.edu/people/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
Week Date Section Page Topic Homework

1 T, Aug 22 1.1 3 The Geometry and Algebra of Vectors 5-19

R, Aug 24 1.2 18 Length and Angle: The Dot Product 3-9, 13-19, 25, 31, 41, 43, 49, 61

2 T, Aug 29 1.3 34 Lines and Planes 1-13, 23, 43

R, Aug 31 2.1/2.2 58/64 Introduction to Systems of Linear Equations 2.1: 11-21, 33-37; 2.2: 5-13

3 T, Sep 5 2.2 64 Direct Methods for Solving Linear Systems 17-21, 25-29, 35, 37

R, Sep 7 2.3 88 Spanning Sets and Linear Independence 1-5, 9-15

4 T, Sep 12 2.3 88 Spanning Sets and Linear Independence 23-29, 35-43

R, Sep 14 2.4 99 Applications 15-21

5 T, Sep 19 Review

R, Sep 21 Test 1

6 T, Sep 26 3.1 138 Matrix Operations 1-17, 23, 25

R, Sep 28 3.2 154 Matrix Algebra 3-7, 11, 13, 23, 29, 37, 39

7 T, Oct 3 3.3 163 The Inverse of a Matrix 1-5, 9-13, 25, 27, 31-39, 49-55

R, Oct 5 3.4 180 The LU Factorization 1, 3, 7, 9, 15, 19

8 T, Oct 10 3.5 191 Subspaces, Basis, Dimension, and Rank 1-15, 17-29

R, Oct 12 3.5 191 Subspaces, Basis, Dimension, and Rank 35-41, 45, 47, 51

9 T, Oct 17 3.6 211 Introduction to Linear Transformations 3-17, 21, 25

R, Oct 19 3.6 211 Introduction to Linear Transformations 31-39, 47-51

10 T, Oct 24 3.7 230 Applications 1-9, 45-59

R, Oct 26 4.1 254 Introduction to Eigenvalues and Eigenvectors 5-15, 23, 25

11 T, Oct 31 4.2 263 Determinants 1-15, 23-31, 47-51, 57, 59

R, Nov 2 4.3 292 Eigenvalues and Eigenvectors of nxn Matrices 3-11, 15-19

12 T, Nov 7 4.4 301 Similarity and Diagonalization 1-17

R, Nov 9 Review

13 T, Nov 14 Test 2

R, Nov 16 5.1 368 Orthogonality in Rⁿ 7-19

14 T, Nov 21 Fall Break

R, Nov 23 Fall Break

15 T, Nov 28 5.2 378 Orthogonal Complements and Orthogonal Projections 1-5, 11-21

R, Nov 30 5.3 388 The Gram-Schmidt Process and the QR Factorization 1-9, 13-17

16 T, Dec 5 5.4 400 Orthogonal Diagonalization of Symmetric Matrices 1-11

R, Dec 7 Final Review

17 R, Dec 14 Final Exam (MSCS 514, 2:00-3:50 p.m.)

Week	Date	Section	Page	Topic	Homework
1	T, Aug 22	1.1	3	The Geometry and Algebra of Vectors	5-19
1	R, Aug 24	1.2	18	Length and Angle: The Dot Product	3-9, 13-19, 25, 31, 41, 43, 49, 61
2	T, Aug 29	1.3	34	Lines and Planes	1-13, 23, 43
2	R, Aug 31	2.1/2.2	58/64	Introduction to Systems of Linear Equations	2.1: 11-21, 33-37; 2.2: 5-13
3	T, Sep 5	2.2	64	Direct Methods for Solving Linear Systems	17-21, 25-29, 35, 37
3	R, Sep 7	2.3	88	Spanning Sets and Linear Independence	1-5, 9-15
4	T, Sep 12	2.3	88	Spanning Sets and Linear Independence	23-29, 35-43
4	R, Sep 14	2.4	99	Applications	15-21
5	T, Sep 19	Review
5	R, Sep 21	Test 1
6	T, Sep 26	3.1	138	Matrix Operations	1-17, 23, 25
6	R, Sep 28	3.2	154	Matrix Algebra	3-7, 11, 13, 23, 29, 37, 39
7	T, Oct 3	3.3	163	The Inverse of a Matrix	1-5, 9-13, 25, 27, 31-39, 49-55
7	R, Oct 5	3.4	180	The LU Factorization	1, 3, 7, 9, 15, 19
8	T, Oct 10	3.5	191	Subspaces, Basis, Dimension, and Rank	1-15, 17-29
8	R, Oct 12	3.5	191	Subspaces, Basis, Dimension, and Rank	35-41, 45, 47, 51
9	T, Oct 17	3.6	211	Introduction to Linear Transformations	3-17, 21, 25
9	R, Oct 19	3.6	211	Introduction to Linear Transformations	31-39, 47-51
10	T, Oct 24	3.7	230	Applications	1-9, 45-59
10	R, Oct 26	4.1	254	Introduction to Eigenvalues and Eigenvectors	5-15, 23, 25
11	T, Oct 31	4.2	263	Determinants	1-15, 23-31, 47-51, 57, 59
11	R, Nov 2	4.3	292	Eigenvalues and Eigenvectors of nxn Matrices	3-11, 15-19
12	T, Nov 7	4.4	301	Similarity and Diagonalization	1-17
12	R, Nov 9	Review
13	T, Nov 14	Test 2
13	R, Nov 16	5.1	368	Orthogonality in Rⁿ	7-19
14	T, Nov 21	Fall Break
14	R, Nov 23	Fall Break
15	T, Nov 28	5.2	378	Orthogonal Complements and Orthogonal Projections	1-5, 11-21
15	R, Nov 30	5.3	388	The Gram-Schmidt Process and the QR Factorization	1-9, 13-17
16	T, Dec 5	5.4	400	Orthogonal Diagonalization of Symmetric Matrices	1-11
16	R, Dec 7	Final Review
17	R, Dec 14	Final Exam (MSCS 514, 2:00-3:50 p.m.)