Linear Algebra

MATH 3013

Time and Place: TR 10:30 - 11:45 am in PS 112
Professor: Igor E. Pritsker
Office: MSCS 519C
Office Hours: TR 12 - 1 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 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 19 1.1 3 The Geometry and Algebra of Vectors 5-19

R, Aug 21 1.2 18 Length and Angle: The Dot Product 3-9, 13-19, 25, 31, 41, 43, 49, 61

2 T, Aug 26 1.3 34 Lines and Planes 1-13, 23, 43

R, Aug 28 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 2 2.2 64 Direct Methods for Solving Linear Systems 17-21, 25-29, 35, 37

R, Sep 4 2.3 88 Spanning Sets and Linear Independence 1-5, 9-15

4 T, Sep 9 2.3 88 Spanning Sets and Linear Independence 23-29, 35-43

R, Sep 11 2.4 99 Applications 15-21

5 T, Sep 16 Review

R, Sep 18 Test 1

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

R, Sep 25 3.2 154 Matrix Algebra 3-7, 11, 13, 23, 29, 37, 39

7 T, Sep 30 3.3 163 The Inverse of a Matrix 1-5, 9-13, 25, 27, 31-39, 49-55

R, Oct 2 3.4 180 The LU Factorization 1, 3, 7, 9, 15, 19

8 T, Oct 7 3.5 191 Subspaces, Basis, Dimension, and Rank 1-15, 17-29

R, Oct 9 3.5 191 Subspaces, Basis, Dimension, and Rank 35-41, 45, 47, 51

9 T, Oct 14 3.6 211 Introduction to Linear Transformations 3-17, 21, 25

R, Oct 16 3.6 211 Introduction to Linear Transformations 31-39, 47-51

10 T, Oct 21 3.7 230 Applications 1-9, 45-59

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

11 T, Oct 28 4.2 263 Determinants 1-15, 23-31, 47-51, 57, 59

R, Oct 30 4.3 292 Eigenvalues and Eigenvectors of nxn Matrices 3-11, 15-19

12 T, Nov 4 4.4 301 Similarity and Diagonalization 1-17

R, Nov 6 Review

13 T, Nov 11 Test 2

R, Nov 13 5.1 368 Orthogonality in Rⁿ 7-19

14 T, Nov 18 5.2 378 Orthogonal Complements and Orthogonal Projections 1-5, 11-21

R, Nov 20 5.3 388 The Gram-Schmidt Process and the QR Factorization 1-9, 13-17

15 T, Nov 25 Fall Break

R, Nov 27 Fall Break

16 T, Dec 2 5.4 400 Orthogonal Diagonalization of Symmetric Matrices 1-11

R, Dec 4 Final Review

17 R, Dec 11 Final Exam (PS 112, 10:00-11:50 am)

Week	Date	Section	Page	Topic	Homework
1	T, Aug 19	1.1	3	The Geometry and Algebra of Vectors	5-19
1	R, Aug 21	1.2	18	Length and Angle: The Dot Product	3-9, 13-19, 25, 31, 41, 43, 49, 61
2	T, Aug 26	1.3	34	Lines and Planes	1-13, 23, 43
2	R, Aug 28	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 2	2.2	64	Direct Methods for Solving Linear Systems	17-21, 25-29, 35, 37
3	R, Sep 4	2.3	88	Spanning Sets and Linear Independence	1-5, 9-15
4	T, Sep 9	2.3	88	Spanning Sets and Linear Independence	23-29, 35-43
4	R, Sep 11	2.4	99	Applications	15-21
5	T, Sep 16	Review
5	R, Sep 18	Test 1
6	T, Sep 23	3.1	138	Matrix Operations	1-17, 23, 25
6	R, Sep 25	3.2	154	Matrix Algebra	3-7, 11, 13, 23, 29, 37, 39
7	T, Sep 30	3.3	163	The Inverse of a Matrix	1-5, 9-13, 25, 27, 31-39, 49-55
7	R, Oct 2	3.4	180	The LU Factorization	1, 3, 7, 9, 15, 19
8	T, Oct 7	3.5	191	Subspaces, Basis, Dimension, and Rank	1-15, 17-29
8	R, Oct 9	3.5	191	Subspaces, Basis, Dimension, and Rank	35-41, 45, 47, 51
9	T, Oct 14	3.6	211	Introduction to Linear Transformations	3-17, 21, 25
9	R, Oct 16	3.6	211	Introduction to Linear Transformations	31-39, 47-51
10	T, Oct 21	3.7	230	Applications	1-9, 45-59
10	R, Oct 23	4.1	254	Introduction to Eigenvalues and Eigenvectors	5-15, 23, 25
11	T, Oct 28	4.2	263	Determinants	1-15, 23-31, 47-51, 57, 59
11	R, Oct 30	4.3	292	Eigenvalues and Eigenvectors of nxn Matrices	3-11, 15-19
12	T, Nov 4	4.4	301	Similarity and Diagonalization	1-17
12	R, Nov 6	Review
13	T, Nov 11	Test 2
13	R, Nov 13	5.1	368	Orthogonality in Rⁿ	7-19
14	T, Nov 18	5.2	378	Orthogonal Complements and Orthogonal Projections	1-5, 11-21
14	R, Nov 20	5.3	388	The Gram-Schmidt Process and the QR Factorization	1-9, 13-17
15	T, Nov 25	Fall Break
15	R, Nov 27	Fall Break
16	T, Dec 2	5.4	400	Orthogonal Diagonalization of Symmetric Matrices	1-11
16	R, Dec 4	Final Review
17	R, Dec 11	Final Exam (PS 112, 10:00-11:50 am)