MATH 221-05 [3577], Spring 2016
Introduction to Linear Algebra
Course information
Course: | MATH 221-05 [3577]:
Introduction to Linear Algebra |
Time/Place: | TuTh 5:30pm-6:45pm, MP 106
|
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 4:30 PM-5:30 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 discussed 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, February 25 |
33 pt |
Sec. 1.1-1.5, 1.7, 2.1, and 2.2
|
midterm 1
|
midterm 1
|
Midterm 2, Thursday, March 31
|
33 pt |
Sec. 1.8, 1.9, 2.3, 4.1, 4.2, 4.3
|
midterm 2
|
midterm 2
|
Midterm 3, Tesday, May 3
|
33 pt |
Sec. 3.1-3.2, 4.4-4.7, 5.1-5.3, 6.1-6.4
|
midterm 3
|
midterm 3
|
Final, Thursday, May 12
|
100 pt |
|
|
|
The final exam is from
6:00 pm through 8:00 pm on
Thursday, May 12, 2016.
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 and next class material
Next class April 28, 2016
review before the mid term
HW1 due Tuesday 02/09/16 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 02/09/16 ends here
HW2 due Tuesday 02/16/16 starts here
solutions
Sec. 1.4, p.40: 2, 4, 6, 8, 9, 12, 13, 35;
Sec. 1.5, p.47: 2, 8, 10, 12, 15, 18, 35, 38
Sec. 2.1, p.100: 3, 5, 6, 12, 24, 26, 33
HW2 due Tuesday 02/16/16 ends here
HW3 due Tuesdaday 03/22/16 starts here
solutions
Sec. 2.2, p.109: 4, 9(a,b,c,d), 14, 16, 18, 31
Sec. 1.7, p.60: 6, 8, 14, 18, 20, 21, 33
HW3 due Tuesday 02/23/16 ends here
no homework is due Tuesday 03/01/16
HW4 due Tuesday 03/08/16 starts here
solutions
Sec. 1.8, p.68: 26, 27, 30, 32
Sec. 1.9, p.78: 11, 15, 22, 26, 34
HW4 due Tuesday 03/08/16 ends here
HW5 due Tuesday 03/22/16 starts here
solutions
Sec. 2.3, p. 115: 2, 4, 8, 11(a,d,e), 12(a,b,c), 21, 27, 33, 39.
Sec. 4.1, p. 195: 16, 21, 22, 32, 33
Sec. 4.2, p. 205: 6, 9, 14, 27, 28
HW5 due Tuesday 03/22/16 ends here
HW6 due Tuesday 03/29/16 starts here
solutions
Sec. 4.3, p.213: 3, 8, 13, 14, 21(b,c,d), 22(a,b,e), 25, 33
Sec. 4.5, 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;
HW6 due Tuesday 03/29/16 ends here
HW7 due Tuesday 04/12/16 starts here
solutions
Sec. 4.4, p.222: 3, 7, 10, 14, 22;
Sec. 4.7, p.242: 1, 6, 9,
Sec. 3.2, p.175: 20, 21, 22, 37, 41
HW7 due Tuesday 04/12/16 ends here
HW8 due Tuesday 04/19/16 starts here
solutions
Sec. 5.1, p.271: 7, 9, 17, 24.
Sec. 5.2, p.279: 2, 4, 7, 8, 25
Sec. 5.3, p.286: 6, 7, 12, 20, 21(a,b)
HW8 due Tuesday 04/19/16 ends here
HW9 due Tuesday 04/26/16 starts here
solutions
Sec. 6.1, p.336: 2, 7, 10, 14, 16, 17, 20, 23, 31;
Sec. 6.2, p.344: 3, 8, 12, 13, 16, 20, 23(a, e), 24;
Sec. 6.3, p.352: 4, 5, 8, 9, 11, 12, 21 (a, b, c, d);
Sec. 6.4, p.358: 5, 11;
HW9 due Tuesday 04/26/16 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.