Linear Algebra

MATH 3013

Time and Place: TR 1:30 - 2:45 pm in MSCS 445
Professor: Igor E. Pritsker
Office: MSCS 519C
Office Hours: TR 11 am - 12 pm
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 The Mathematics Learning Success Center (MLSC) offers a free in-person drop-in tutoring, no appointments necessary. The MLSC is located on the 5th floor of Edmon Low Library. See our website for more information: cas.okstate.edu/mlsc. The MLSC is a great place to meet with classmates to study. Our undergraduate tutors are trained to help you become an independent learner, so please bring your course materials and come ready to engage with the mathematics. This semester we are also offering online drop-in tutoring during our normal business hours. Use the link on our website to access tutoring via Zoom.

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 13 1.1 3 The Geometry and Algebra of Vectors 5-19

R, Jan 15 1.2 18 Length and Angle: The Dot Product 3-9, 13-19, 25, 31, 41, 43, 49, 61

2 T, Jan 20 1.3 34 Lines and Planes 1-13, 23, 43

R, Jan 22 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 27 2.2 64 Direct Methods for Solving Linear Systems 17-21, 25-29, 35, 37

R, Jan 29 2.3 88 Spanning Sets and Linear Independence 1-5, 9-15

4 T, Feb 3 2.3 88 Spanning Sets and Linear Independence 23-29, 35-43

R, Feb 5 2.4 99 Applications 15-21

5 T, Feb 10 Review

R, Feb 12 Test 1

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

R, Feb 19 3.2 154 Matrix Algebra 3-7, 11, 13, 23, 29, 37, 39

7 T, Feb 24 3.3 163 The Inverse of a Matrix 1-5, 9-13, 25, 27, 31-39, 49-55

R, Feb 26 3.5 191 Subspaces, Basis, Dimension, and Rank 1-15, 17-29

8 T, Mar 3 3.5 191 Subspaces, Basis, Dimension, and Rank 35-41, 45, 47, 51

R, Mar 5 3.6 211 Introduction to Linear Transformations 3-17, 21, 25

9 T, Mar 10 3.6 211 Introduction to Linear Transformations 31-39, 47-51

R, Mar 12 3.7 230 Applications 1-9, 45-59

10 T, Mar 17 Spring Break

R, Mar 19 Spring Break

11 T, Mar 24 4.1 254 Introduction to Eigenvalues and Eigenvectors 5-15, 23, 25

R, Mar 26 4.2 263 Determinants 1-15, 23-31

12 T, Mar 31 4.2 263 Determinants 47-51, 57, 59

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

13 T, Apr 7 4.4 301 Similarity and Diagonalization 1-17

R, Apr 9 Review

14 T, Apr 14 Test 2

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

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

R, Apr 23 5.3 388 The Gram-Schmidt Process and the QR Factorization 1-9, 13-17

16 T, Apr 28 5.4 400 Orthogonal Diagonalization of Symmetric Matrices 1-11

R, Apr 30 Final Review

17 R, May 7 Final Exam (MSCS 445, 2:00-3:50 pm)

Wk	Date	Sec	Page	Topic	Homework
1	T, Jan 13	1.1	3	The Geometry and Algebra of Vectors	5-19
1	R, Jan 15	1.2	18	Length and Angle: The Dot Product	3-9, 13-19, 25, 31, 41, 43, 49, 61
2	T, Jan 20	1.3	34	Lines and Planes	1-13, 23, 43
2	R, Jan 22	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 27	2.2	64	Direct Methods for Solving Linear Systems	17-21, 25-29, 35, 37
3	R, Jan 29	2.3	88	Spanning Sets and Linear Independence	1-5, 9-15
4	T, Feb 3	2.3	88	Spanning Sets and Linear Independence	23-29, 35-43
4	R, Feb 5	2.4	99	Applications	15-21
5	T, Feb 10	Review
5	R, Feb 12	Test 1
6	T, Feb 17	3.1	138	Matrix Operations	1-17, 23, 25
6	R, Feb 19	3.2	154	Matrix Algebra	3-7, 11, 13, 23, 29, 37, 39
7	T, Feb 24	3.3	163	The Inverse of a Matrix	1-5, 9-13, 25, 27, 31-39, 49-55
7	R, Feb 26	3.5	191	Subspaces, Basis, Dimension, and Rank	1-15, 17-29
8	T, Mar 3	3.5	191	Subspaces, Basis, Dimension, and Rank	35-41, 45, 47, 51
8	R, Mar 5	3.6	211	Introduction to Linear Transformations	3-17, 21, 25
9	T, Mar 10	3.6	211	Introduction to Linear Transformations	31-39, 47-51
9	R, Mar 12	3.7	230	Applications	1-9, 45-59
10	T, Mar 17	Spring Break
10	R, Mar 19	Spring Break
11	T, Mar 24	4.1	254	Introduction to Eigenvalues and Eigenvectors	5-15, 23, 25
11	R, Mar 26	4.2	263	Determinants	1-15, 23-31
12	T, Mar 31	4.2	263	Determinants	47-51, 57, 59
12	R, Apr 2	4.3	292	Eigenvalues and Eigenvectors of nxn Matrices	3-11, 15-19
13	T, Apr 7	4.4	301	Similarity and Diagonalization	1-17
13	R, Apr 9	Review
14	T, Apr 14	Test 2
14	R, Apr 16	5.1	368	Orthogonality in Rⁿ	7-19
15	T, Apr 21	5.2	378	Orthogonal Complements and Orthogonal Projections	1-5, 11-21
15	R, Apr 23	5.3	388	The Gram-Schmidt Process and the QR Factorization	1-9, 13-17
16	T, Apr 28	5.4	400	Orthogonal Diagonalization of Symmetric Matrices	1-11
16	R, Apr 30	Final Review
17	R, May 7	Final Exam (MSCS 445, 2:00-3:50 pm)