Dear students. I am re-assigned out of this class effective immediately. All materials with this class for the entire semester are turned over to Dr. Biswas at abiswas@umbc.edu. Please stay well and healthy. Good Luck with the finals.

Dr. Kogan

UMBC bookstore textbook return rules and math lab

MATH 221-05 [3063], Spring 2020
Introduction to Linear Algebra

Course information

Course:	MATH 221-05 [3063]: Introduction to Linear Algebra
Time/Place:	TuTh 5:30pm-6:45pm, MP 101
Instructor:	Dr.  Jacob Kogan	Grader:	Ashley Copenhaver
Office:	MP 426
Phone:	410-455-3297
Email:	mathumbc at yahoo.com		ash35@umbc.edu
Office hours:	TuTh 6:45 PM-7:30 PM and by appointment

Textbook

Linear Algebra and Its Applications (fourth edition) by Lay, Addison-Wesley, 2012, and solution manual
(the text is available, for example, from alibris, amazon, barnes and noble, cheapesttextbooks, valorebooks).

Course Description

Linear Algebra deals with systems of linear equations, their fundamental properties, and transformations of vector spaces. The basic objects of the course are vectors and matrices.

Linear algebra techniques are widely used in many areas, such as mathematics, engineering, economics, finance. They are also cornerstones for a variety of advance classes in science and engineering. The course will describe basic basic concepts and tools of linear algebra.

We will try to cover the following material: Sections 1.1-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.6, 5.2-5.3, 6.1-6.4.
We may cover these topics in a different order. Depending on time we may cover more (or delete) topics.

Course Objectives

The following three topics will be emphasized:

1. the algebra of linear equations and matrices,
2. the geometry of vector spaces,
3. algorithms for solving linear equations.

• to characterize existence, uniqueness and solution sets of systems of linear equations via the row reduction algorithm,
• to perform matrix operations, including inverse and determinant computations,
• to characterize vector spaces or subspaces, and determine their dimension and matrix ranks,
• to compute eigenvectors and eigenvalues, and perform matrix diagonalization,
• concepts of orthogonality and orthogonal bases, carry out orthogonal transformations and projections.

Homework, Quizzes, Tests, and Grading

1. Homework : Weekly homework will be assigned on Thursday and collected the following Tuesday. No late homework will be accepted.
2. Grading : The final grade will be based on three quizzes (30 pt each), and the comprehensive final (100 pt).

1. fall 11
2. fall 13
3. fall 15

Homewore assignments

1. HW1 due Tuesday 02/04/20 starts here solutions
   • Sec. 1.1, p.10: 1, 3, 12, 17, 21, 23(a)
   • Sec. 1.2, p.21: 10, 12, 14, 20, 31
   HW1 due Tuesday 02/04/20 ends here
2. HW2 due Tuesday 02/11/20 starts here solutions
   • Sec. 1.3, p.32: 9, 10, 12, 14, 16, 23(c,d, e), 29
   • Sec. 1.4, p.40: 2, 4, 6, 8, 9, 12, 13, 14, 22, 34, 35
   HW2 due Tuesday 02/11/20 ends here
3. HW3 due Tuesday 02/18/20 starts here
   • Sec. 1.5, p.47: 2, 6, 8, 10, 12, 13, 15, 18, 35, 38
   • Sec. 1.7, p.60: 6, 8, 14, 16, 20, 31, 36, 39
   HW3 due Tuesday 02/18/20 ends here
4. HW4 due Tuesday 02/25/20 starts here
   • Sec. 1.8, p.68: 2, 4, 9, 17, 23, 26, 27, 30, 32, 36
   • Sec. 1.9, p.78: 11, 15, 22, 26, 34
   HW4 due Tuesday 02/25/20 ends here
5. HW5 due Tuesday 03/10/20 starts here
   • Sec. 2.2, p.109: 4, 9(a,b,c,d), 14, 16, 18, 31
   • Sec. 2.3, p. 115: 2, 4, 8, 11(a,d,e), 12(a,b,c), 21, 27, 30, 39.
   HW5 due Tuesday 03/10/20 ends here
6. HW6 due Tuesday 04/07/20 starts here
   • reading: Section 4.1, hw Sec. 4.1, p. 195: 16, 21, 22, 32, 30
   • reading: Section 4.2, hw Sec. 4.2, p. 205: 6, 9, 14, 27, 28, 30
   HW6 due Tuesday 04/07/20 ends here
7. HW7 due Tuesday 04/14/20 starts here
   • reading: Section 4.3, hw Sec. 4.3, p.213: 3, 8, 13, 14, 21(b,c,d), 22(a,b,e), 25, 30
   • reading: Section 4.4, hw Sec. 4.4, p.222: 3, 7, 10, 14, 21, 22, 26;
   HW7 due Tuesday 04/14/20 ends here
8. HW8 due Tuesday 04/21/20 starts here
   • reading: Section 4.5, hw Sec. 4.5, p.229: 3, 8, 10, 14, 15, 17, 19(a,d), 20(d)
   • reading: Section 4.6, hw Sec. 4.6, p.236: 2, 3, 7, 8, 9, 11, 18(a,c), 31, 32;
   HW8 due Tuesday 04/21/20 ends here

The Official UMBC Honors Code

By enrolling in this course, each student assumes the responsibilities of an active participant in UMBC's scholarly community in which everyone's academic work and behavior are held to the highest standards of honesty. Cheating, fabrication, plagiarism, and helping others to commit these acts are all forms of academic dishonesty, and they are wrong. Academic misconduct could result in disciplinary action that may include, but is not limited to, suspension or dismissal.

To read the full Student Academic Conduct Policy, consult the UMBC Student Handbook, the Faculty Handbook, the UMBC Integrity webpage www.umbc.edu/integrity, or the Graduate School website http://www.umbc.edu/gradschool/procedures/integrity.html.