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MATH 221-04 [2384], Fall 2018
Introduction to Linear Algebra

Course information

Course:	MATH 221-04 [2384]: Introduction to Linear Algebra
Time/Place:	TuTh 5:30pm-6:45pm, MP 104
Instructor:	Dr.  Jacob Kogan	Grader:	Ellen Gulian
Office:	MP 426
Phone:	410-455-3297
Email:	kogan at math.umbc.edu		egulian1@umbc.edu
Office hours:	TuTh 4:45 PM-5:30 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

• Problem 1
• Problem 2
• Problem 4

Homewore assignments

1. HW1 due Tuesday 09/11/18 starts here
   • 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 09/11/18 ends here
2. HW2 due Tuesday 09/18/18 starts here
   • Sec. 1.3, p.32: 9, 10, 16, 12, 14, 23(c,d, e), 29
   • Sec. 1.4, p.40: 2, 4, 6, 8, 9, 12, 13, 14, 22, 34, 35
   HW2 due Tuesday 09/18/18 ends here
3. no hw due 09/25/18
4. HW3 due Tuesday 10/02/18 starts here
   • Sec. 1.5, p.47: 2, 8, 10, 12, 13, 15, 18, 35, 38
   • Sec. 1.7, p.60: 6, 8, 14, 18, 20, 21, 30
   HW3 due Tuesday 10/02/18 ends here
5. HW4 due Tuesday 10/09/18 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 10/09/18 ends here
6. HW5 due Tuesday 10/16/18 starts here
   • Sec. 2.1, p.100: 3, 5, 6, 12, 24, 26
   • Sec. 2.2, p.109: 4, 9(a,b,c,d), 14, 16, 18, 31
   HW5 due Tuesday 10/16/18 ends here
7. HW6 due Tuesday 10/23/18 starts here
   • Sec. 2.3, p. 115: 2, 4, 8, 11(a,d,e), 12(a,b,c), 21, 27, 30, 39.
   • Sec. 4.1, p. 195: 16, 21, 22, 32, 30
   HW6 due Tuesday 10/23/18 ends here
8. HW7 due Tuesday 10/30/18 starts here
   • Sec. 4.2, p. 205: 6, 9, 14, 27, 28, 30
   • Sec. 4.3, p.213: 3, 8, 13, 14, 21(b,c,d), 22(a,b,e), 25, 30
   • Sec. 4.4, p.222: 3, 7, 14, 21, 22, 26;
   HW7 due Tuesday 10/30/18 ends here
9. HW8 due Tuesday 11/13/18 starts here
   • Sec. 4.4, p.222: 10;
   • Sec. 4.5, p.229: 3, 8, 10, 14, 15, 17, 19(a,d), 20(d)
   • Sec. 4.6, p.236: 2, 3, 7, 8, 9, 11, 18(a,c), 31, 32;
   • Sec. 3.1, p.167: 19, 20, 36, 41, 46 (for a 2X2 matrix A)
   HW8 due Tuesday 11/13/18 ends here
10. HW9 due Thursday 11/29/18 starts here
    • Sec. 3.1, p.167: 15, 30, 45, 46
    • Sec. 3.2, p.175: 6, 15, 17, 19, 22, 25, 27(a,c,d)
    HW9 due Thursday 11/29/18 ends here
11. No class on Tuesday 11/20/18 Happy Thanksgiving!

• Sec. 5.1, p.271: 7, 9, 17, 24, 26, 30.
• Sec. 5.2, p.279: 2, 4, 7, 8, 25
• Sec. 5.3, p.286: 6, 7, 12, 20, 21(a,b)

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.