MATH 221-05 [4763], Fall 2016
Introduction to Linear Algebra
Course information
Course: | MATH 221-05 [4763]:
Introduction to Linear Algebra |
Time/Place: | TuTh 2:30pm-3:45pm, MP 103
|
Instructor: | Dr.
Jacob Kogan
|
Grader: |
Thomas Petr
|
Office: |
MP 426 |
|
|
Phone: | 410-455-3297 |
Email: |
kogan at math.umbc.edu |
|
petrt1@umbc.edu
|
Office hours: |
TuTh 1:30 PM-2:30 PM and by appointment
|
|
|
Textbook
Linear Algebra and Its Applications
(fourth edition) by Lay, Addison-Wesley, 2012.
(the text is available, for example, from
alibris,
amazon,
barnes and noble,
cheapesttextbooks,
chegg,
fetchbook,
priority,
valorebooks).
Some useful material (including practice exams) can be found
here
and
here.
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 Thursday and collected the following
Tuesday.
-
Grading
:
The final grade will be based on
three midterms (33 pt each), and the comprehensive final (100 pt).
Date |
Points |
Topic |
Midterm |
Solutions |
Midterm 1, Thursday, September 29 |
33 pt |
Sec. 1.1-1.5, 1.7
|
midterm 1
|
midterm 1
|
Midterm 2, Thursday, October 27
|
33 pt |
Sec. 1.8, 1.9, 2.1-2.3
|
midterm 2
|
midterm 2
|
Midterm 3, Thursday, December 1
|
33 pt |
Sec. 4.1-4.6
|
midterm 3
|
midterm 3
|
Final, Thursday, December 15
|
100 pt |
Sec.
1.1-1.9,
2.1-2.3,
3.1-3.2,
4.1-4.6,
5.2-5.3
|
|
|
The final exam is on
Thursday, December 15 from 1 pm to 3 pm
There will be no make up 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.
old quizzes and solutions
Homework assignments
No HW assigned for September 6, 2016. The following is a
partial list of future homework assignments.
HW1 due Tuesday 09/13/16 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
- Sec. 1.3, p.32: 9, 10, 16, 12, 14, 23(c,d, e)
HW1 due Tuesday 09/13/16 ends here
HW2 due Tuesday 09/20/16 starts here
solutions
- Sec. 1.4, p.40: 2, 4, 6, 8, 9, 12, 13, 14, 22, 34, 35
- Sec. 1.5, p.47: 2, 13, 15, 38
HW2 due Tuesday 09/20/16 ends here
HW3 due Tuesday 09/27/16 starts here
solutions
- Sec. 1.5, p.47: 8, 10, 12, 18, 35
- Sec. 1.7, p.60: 6, 8, 14, 18, 20, 21, 33
HW3 due Tuesday 09/27/16 ends here
HW4 due Tuesday 10/04/16 starts here
solutions
- Sec. 1.8, p.68: 23, 26, 27, 30, 32, 36
- Sec. 1.9, p.78: 11, 15, 22, 34
HW4 due Tuesday 10/04/16 ends here
HW5 due Tuesday 10/11/16 starts here
solutions
- Sec. 2.1, p.100: 3, 5, 6, 12, 24, 26, 33
- Sec. 2.2, p.109: 4, 9(a,b,c,d), 14, 16, 18, 31
HW5 due Tuesday 10/11/16 ends here
HW6 due Tuesday 10/18/16 starts here
solutions
- Sec. 2.3, p. 115: 2, 4, 8, 11(a,d,e), 12(a,b,c), 21, 27, 33, 39.
HW6 due Tuesday 10/18/16 ends here
HW7 due Tuesday 10/27/16 starts here
solutions
- Sec. 4.1, p. 195: 16, 21, 22, 32, 33
- Sec. 4.2, p. 205: 6, 9, 14, 27, 28, 30
HW7 due Tuesday 10/27/16 ends here
no homework due Tuesday 11/01/16
HW8 due Tuesday 11/08/16 starts here
solutions
- Sec. 4.3, p.213: 3, 8, 13, 14, 21(b,c,d), 22(a,b,e), 25, 33
- Sec. 4.4, p.222: 3, 7, 10, 14, 22, 26;
HW8 due Tuesday 11/08/16 ends here
No class on November 15, 2016. Instead from 2:30 pm to 3:30 pm tune in to
where discoveries begin
HW9 due Tuesday 11/17/16 starts here
solutions
- 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;
HW9 due Tuesday 11/17/16 ends here
HW10 due Tuesday 11/22/16 starts here
solutions
- Sec. 3.1, p.167: 15, 33, 41
- Sec. 3.2, p.175: 20, 21, 22, 35, 37, 40, 41
HW10 due Tuesday 11/22/16 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.