MATH 221-02 [5582], Fall 2011
Introduction to Linear Algebra
Course information
| Course: | MATH 221-02 [5582]:
Introduction to Linear Algebra |
| Time/Place: | MoWe 2:30pm-3:45pm, AC IV 151
|
| Instructor: | Dr.
Jacob Kogan
|
Grader: |
Nikhil Puranik
|
| Office: |
MP 426 |
|
|
| Phone: | 410-455-3297 |
| Email: |
kogan at math.umbc.edu |
|
puranik1@umbc.edu
|
| Office hours: |
Mo 3:45 PM-4:30 PM and by appointment
|
|
|
Textbook
Linear Algebra and Its Applications
(third edition) by Lay, Addison-Wesley, 2003.
Text webpage is
http://www.laylinalgebra.com.
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:
-
the algebra of linear equations and matrices,
-
the geometry of vector spaces,
-
algorithms for solving linear equations.
By the end of the class one should know:
-
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
Homework
-
Weekly homework will be assigned on Wednesday and collected the following
Wednesday.
-
The two lowest homework grades will be disregarded.
-
Please staple your homework, and present the problems in the order
assigned, if you want credit.
-
No late homework will be accepted.
Quizzes, Tests, and Grading
The final grade will be based on homework grades (20 pt),
four quizzes (20 pt each), and the comprehensive final (50 pt).
| Date |
Points |
Topic |
Solutions |
| Wednesday, February 16 |
20 pt |
Sec. 1.1-1.5
|
quiz 1
|
|
Wednesday, March 16
|
20 pt |
Sec. 1.7-1.9, 2.1-2.3, 4.1-4.2
|
quiz 2
|
|
Wednesday, April 13
|
20 pt |
Sec. 4.3-4.4, 5.1-5.3
|
quiz 3
|
|
Wednesday, May 4
|
20 pt |
Sec. 3.2, 3.3, 6.1, 6.2
|
quiz 4
|
|
Friday, May 20
|
50 pt |
material covered by 4 quizzes and Sec. 6.5
|
|
The final exam is from 1:00 pm through 3:00 pm on
Friday, May 20.
There will be no make up quizzes or tests.
Letter grade cutoffs are expected to be the following:
| Percentage |
≥ 90% |
89% ≥ and ≥ 80% |
79% ≥ and ≥ 70% |
69% ≥ and ≥ 60% |
59% ≥ |
| Letter Grade |
A |
B |
C |
D |
F |
Remember: Mathematics is NOT a spectator sport.
Read through the relevant section of the text (and look over
all
the assigned problems) before each lecture.
Homework assignments
HW1 due Wednesday, 02/09/11 starts here
- Sec. 1.1, p.11: 1, 3, 12, 17, 21, 23(a)
- Sec. 1.2, p.25: 10, 12, 14, 20, 31
- Sec. 1.3, p.37: 9, 10, 12, 14, 23(c,d), 24(c,d), 26
HW1 due Wednesday, 02/09/11 ends here
[solutions]
HW2 due Wednesday, 02/23/11 starts here
- Sec. 1.4, p.47: 2, 4, 6, 8, 9, 12, 13, 35;
- Sec. 1.5, p.55: 2, 8, 10, 12, 15, 18, 23(a,c,e), 35, 38;
HW2 due Wednesday, 02/23/11 ends here
[solutions]
HW3 due Wednesday, 03/02/11 starts here
- Sec. 1.7, p.71: 6, 8, 14, 18, 20, 21;
- Sec. 1.8, p.79: 2, 4, 9, 17, 19, 21(b,c), 25, 29, 36;
- Sec. 1.9, p.90: 8, 13, 22, 23, 24
HW3 due Wednesday, 03/02/11 ends here
[solutions]
HW4 due Wednesday, 03/09/11 starts here
- Sec. 1.9, p.90: 26, 32, 35;
- Sec. 2.1, p.116: 3, 5, 6, 12, 24, 26
- Sec. 2.2, p.126: 4, 9(a,b,c,d), 14, 16, 18, 31;
HW4 due Wednesday, 03/09/11 ends here
[solutions]
HW5 due Wednesday, 03/30/11 starts here
- Sec. 2.3, p.132: 2, 4, 8, 11(a, d,e), 12(a,b,c), 22 where H is a square matrix;
- Sec. 4.1, p. 223: 17, 21, 22, 32, 33
HW5 due Wednesday, 03/30/11 ends here
[solutions]
HW6 due Wednesday, 04/06/11 starts here
- Sec. 3.1, p.190: 36, 37, 41;
- Sec. 5.1, p.308: 2, 5, 19, 21(a, b, c), 22(b);
HW6 due Wednesday, 04/06/11 ends here
[solutions]
HW7 due Wednesday, 04/20/11 starts here
- Sec. 4.3, p.243: 3, 8, 13, 14, 21(b,c), 22(a,b,e)
- Sec. 5.2, p.317: 2, 4, 7, 8, 25
- Sec. 5.3, p.325: 6, 7, 12, 20, 21, 22(a,b)
HW7 due Wednesday, 04/20/11 ends here
[solutions]
HW8 due Wednesday, 04/27/11 starts here
- Sec. 3.2, p.199: 11, 13, 17, 19, 29, 34
- Sec. 6.1, p.382: 14, 16, 17, 20(d), 23, 31
- Sec. 6.2, p.392: 9, 13, 20
HW8 due Wednesday, 04/27/11 ends here
[solutions]
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.