Linear Algebra

MATH 3013

Time and Place: TR 1:30 - 2:45 p.m. in MSCS 422
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. Excessive absences will negatively impact your grade as explained below.

Attendance is mandatory in this class. If you miss four classes without a valid excuse, then each further absence without an excuse will result into losing two points of the final average of all class grades. In addition, missing a quiz will clearly decrease your average grade for quizzes.

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. The use of mobile phones is strictly forbidden in class, so they should be kept in silent mode and away from sight. Internet browsing on any electronic device is completely unacceptable during class time.

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 Class canceled

R, Jan 18 1.1 3 The Geometry and Algebra of Vectors 5-19

2 T, Jan 23 1.2 18 Length and Angle: The Dot Product 3-9, 13-19, 25, 31, 41, 43, 49, 61

R, Jan 25 1.3 34 Lines and Planes 1-13, 23, 43

3 T, Jan 30 2.1/2.2 58/64 Introduction to Systems of Linear Equations 2.1: 11-21, 33-37; 2.2: 5-13

R, Feb 1 2.2 64 Direct Methods for Solving Linear Systems 17-21, 25-29, 35, 37

4 T, Feb 6 2.3 88 Spanning Sets and Linear Independence 1-5, 9-15

R, Feb 8 2.3 88 Spanning Sets and Linear Independence 23-29, 35-43

5 T, Feb 13 2.4 99 Applications/Review 15-21

R, Feb 15 Test 1

6 T, Feb 20 3.1 138 Matrix Operations 1-17, 23, 25

R, Feb 22 3.2 154 Matrix Algebra 3-7, 11, 13, 23, 29, 37, 39

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

R, Feb 29 3.4 180 The LU Factorization 1, 3, 7, 9, 15, 19

8 T, Mar 5 3.5 191 Subspaces, Basis, Dimension, and Rank 1-15, 17-29

R, Mar 7 3.5 191 Subspaces, Basis, Dimension, and Rank 35-41, 45, 47, 51

10 T, Mar 12 3.6 211 Introduction to Linear Transformations 3-17, 21, 25

R, Mar 14 3.6 211 Introduction to Linear Transformations 31-39, 47-51

9 T, Mar 19 Spring Break

R, Mar 21 Spring Break

11 T, Mar 26 3.7 230 Applications 1-9, 45-59

R, Mar 28 4.1 254 Introduction to Eigenvalues and Eigenvectors 5-15, 23, 25

12 T, Apr 2 4.2 263 Determinants 1-15, 23-31, 47-51, 57, 59

R, Apr 4 4.3 292 Eigenvalues and Eigenvectors of nxn Matrices 3-11, 15-19

13 T, Apr 9 4.4 301 Similarity and Diagonalization 1-17

R, Apr 11 Review

14 T, Apr 16 Test 2

R, Apr 18 5.1 368 Orthogonality in Rⁿ 7-19

15 T, Apr 23 5.2 378 Orthogonal Complements and Orthogonal Projections 1-5, 11-21

R, Apr 25 5.3 388 The Gram-Schmidt Process and the QR Factorization 1-9, 13-17

16 T, Apr 30 5.4 400 Orthogonal Diagonalization of Symmetric Matrices 1-11

R, May 2 Final Review

17 R, May 9 Final Exam (MSCS 422, 2:00-3:50 p.m.)

Wk	Date	Sec	Page	Topic	Homework
1	T, Jan 16	Class canceled
1	R, Jan 18	1.1	3	The Geometry and Algebra of Vectors	5-19
2	T, Jan 23	1.2	18	Length and Angle: The Dot Product	3-9, 13-19, 25, 31, 41, 43, 49, 61
2	R, Jan 25	1.3	34	Lines and Planes	1-13, 23, 43
3	T, Jan 30	2.1/2.2	58/64	Introduction to Systems of Linear Equations	2.1: 11-21, 33-37; 2.2: 5-13
3	R, Feb 1	2.2	64	Direct Methods for Solving Linear Systems	17-21, 25-29, 35, 37
4	T, Feb 6	2.3	88	Spanning Sets and Linear Independence	1-5, 9-15
4	R, Feb 8	2.3	88	Spanning Sets and Linear Independence	23-29, 35-43
5	T, Feb 13	2.4	99	Applications/Review	15-21
5	R, Feb 15	Test 1
6	T, Feb 20	3.1	138	Matrix Operations	1-17, 23, 25
6	R, Feb 22	3.2	154	Matrix Algebra	3-7, 11, 13, 23, 29, 37, 39
7	T, Feb 27	3.3	163	The Inverse of a Matrix	1-5, 9-13, 25, 27, 31-39, 49-55
7	R, Feb 29	3.4	180	The LU Factorization	1, 3, 7, 9, 15, 19
8	T, Mar 5	3.5	191	Subspaces, Basis, Dimension, and Rank	1-15, 17-29
8	R, Mar 7	3.5	191	Subspaces, Basis, Dimension, and Rank	35-41, 45, 47, 51
10	T, Mar 12	3.6	211	Introduction to Linear Transformations	3-17, 21, 25
10	R, Mar 14	3.6	211	Introduction to Linear Transformations	31-39, 47-51
9	T, Mar 19	Spring Break
9	R, Mar 21	Spring Break
11	T, Mar 26	3.7	230	Applications	1-9, 45-59
11	R, Mar 28	4.1	254	Introduction to Eigenvalues and Eigenvectors	5-15, 23, 25
12	T, Apr 2	4.2	263	Determinants	1-15, 23-31, 47-51, 57, 59
12	R, Apr 4	4.3	292	Eigenvalues and Eigenvectors of nxn Matrices	3-11, 15-19
13	T, Apr 9	4.4	301	Similarity and Diagonalization	1-17
13	R, Apr 11	Review
14	T, Apr 16	Test 2
14	R, Apr 18	5.1	368	Orthogonality in Rⁿ	7-19
15	T, Apr 23	5.2	378	Orthogonal Complements and Orthogonal Projections	1-5, 11-21
15	R, Apr 25	5.3	388	The Gram-Schmidt Process and the QR Factorization	1-9, 13-17
16	T, Apr 30	5.4	400	Orthogonal Diagonalization of Symmetric Matrices	1-11
16	R, May 2	Final Review
17	R, May 9	Final Exam (MSCS 422, 2:00-3:50 p.m.)