Linear Algebra

MATH 3013

Time and Place: TR 3:00 - 4:15 in NRD 024
Professor: Igor E. Pritsker
Office: MSCS 519C
Office Hours: TR 11:30-12:30
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. OSU encourages you to wear a mask indoors in public settings regardless of whether you are fully vaccinated, consistent with the current CDC recommendations. This is especially important in classrooms and laboratories because people are together for long periods of time. Wearing a mask during class not only protects you but also helps protect those around you who may be more vulnerable. This is a simple way we can look out for all members of the Cowboy family. If you feel sick, do not attend class. Contact University Health Services at 405-744-7665 immediately and communicate with me as soon as possible about any work you miss.

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 11 1.1 3 The Geometry and Algebra of Vectors 5-19

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

2 T, Jan 18 1.3 34 Lines and Planes 1-13, 23, 43

R, Jan 20 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 25 2.2 64 Direct Methods for Solving Linear Systems 17-21, 25-29, 35, 37

R, Jan 27 2.3 88 Spanning Sets and Linear Independence 1-5, 9-15

4 T, Feb 1 2.3 88 Spanning Sets and Linear Independence 23-29, 35-43

R, Feb 3 Class canceled

5 T, Feb 8 2.4 99 Applications/Review 15-21

R, Feb 10 Test 1

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

R, Feb 17 3.2 154 Matrix Algebra 3-7, 11, 13, 23, 29, 37, 39

7 T, Feb 22 3.3 163 The Inverse of a Matrix 1-5, 9-13, 25, 27, 31-39, 49-55

R, Feb 24 Class canceled

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

R, Mar 3 3.5 191 Subspaces, Basis, Dimension, and Rank 1-15, 17-29

9 T, Mar 8 3.5 191 Subspaces, Basis, Dimension, and Rank 35-41, 45, 47, 51

R, Mar 10 3.6 211 Introduction to Linear Transformations 3-17, 21, 25

10 T, Mar 15 Spring Break

R, Mar 17 Spring Break

11 T, Mar 22 3.6 211 Introduction to Linear Transformations 31-39, 47-51

R, Mar 24 3.7 230 Applications 1-9, 45-59

12 T, Mar 29 4.1 254 Introduction to Eigenvalues and Eigenvectors 5-15, 23, 25

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

13 T, Apr 5 4.3 292 Eigenvalues and Eigenvectors of nxn Matrices 3-11, 15-19

R, Apr 7 4.4 301 Similarity and Diagonalization 1-17

14 T, Apr 12 Review

R, Apr 14 Test 2

15 T, Apr 19 5.1 368 Orthogonality in Rⁿ 7-19

R, Apr 21 5.2 378 Orthogonal Complements and Orthogonal Projections 1-5, 11-21

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

R, Apr 28 5.4 400 Orthogonal Diagonalization of Symmetric Matrices / Final Review 1-11

17 R, May 5 Final Exam (NRD 024, 2:00-3:50 p.m.)

Wk	Date	Sec	Page	Topic	Homework
1	T, Jan 11	1.1	3	The Geometry and Algebra of Vectors	5-19
1	R, Jan 13	1.2	18	Length and Angle: The Dot Product	3-9, 13-19, 25, 31, 41, 43, 49, 61
2	T, Jan 18	1.3	34	Lines and Planes	1-13, 23, 43
2	R, Jan 20	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 25	2.2	64	Direct Methods for Solving Linear Systems	17-21, 25-29, 35, 37
3	R, Jan 27	2.3	88	Spanning Sets and Linear Independence	1-5, 9-15
4	T, Feb 1	2.3	88	Spanning Sets and Linear Independence	23-29, 35-43
4	R, Feb 3	Class canceled
5	T, Feb 8	2.4	99	Applications/Review	15-21
5	R, Feb 10	Test 1
6	T, Feb 15	3.1	138	Matrix Operations	1-17, 23, 25
6	R, Feb 17	3.2	154	Matrix Algebra	3-7, 11, 13, 23, 29, 37, 39
7	T, Feb 22	3.3	163	The Inverse of a Matrix	1-5, 9-13, 25, 27, 31-39, 49-55
7	R, Feb 24	Class canceled
8	T, Mar 1	3.4	180	The LU Factorization	1, 3, 7, 9, 15, 19
8	R, Mar 3	3.5	191	Subspaces, Basis, Dimension, and Rank	1-15, 17-29
9	T, Mar 8	3.5	191	Subspaces, Basis, Dimension, and Rank	35-41, 45, 47, 51
9	R, Mar 10	3.6	211	Introduction to Linear Transformations	3-17, 21, 25
10	T, Mar 15	Spring Break
10	R, Mar 17	Spring Break
11	T, Mar 22	3.6	211	Introduction to Linear Transformations	31-39, 47-51
11	R, Mar 24	3.7	230	Applications	1-9, 45-59
12	T, Mar 29	4.1	254	Introduction to Eigenvalues and Eigenvectors	5-15, 23, 25
12	R, Mar 31	4.2	263	Determinants	1-15, 23-31, 47-51, 57, 59
13	T, Apr 5	4.3	292	Eigenvalues and Eigenvectors of nxn Matrices	3-11, 15-19
13	R, Apr 7	4.4	301	Similarity and Diagonalization	1-17
14	T, Apr 12	Review
14	R, Apr 14	Test 2
15	T, Apr 19	5.1	368	Orthogonality in Rⁿ	7-19
15	R, Apr 21	5.2	378	Orthogonal Complements and Orthogonal Projections	1-5, 11-21
16	T, Apr 26	5.3	388	The Gram-Schmidt Process and the QR Factorization	1-9, 13-17
16	R, Apr 28	5.4	400	Orthogonal Diagonalization of Symmetric Matrices / Final Review	1-11
17	R, May 5	Final Exam (NRD 024, 2:00-3:50 p.m.)