MATH 221-05 [3412], Spring 2018
Introduction to Linear Algebra
Course information
| Course: | MATH 221-05 [3412]:
Introduction to Linear Algebra |
| Time/Place: | TuTh 5:30pm-6:45pm, MP 101
|
| 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 4:45 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,
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. No late homework will be accepted.
-
Grading
:
The final grade will be based on
three quizzes (30 pt each), and the comprehensive final (100 pt).
| Date |
Points |
Topic |
Quiz |
Solutions |
| Quiz 1, Thursday, March 1 |
30 pt |
Sec. 1.1-1.5, 1.7-1.9, 2.1, 2.2
|
quiz 1
|
quiz 1
|
|
Quiz 2, Thursday, April 5
|
30 pt |
Sec. 2.3, 4.1-4.3
|
quiz 2
|
quiz 2
|
|
Quiz 3, Tuesday, May 8
|
30 pt |
Sec. 3.1-3.2, 4.4-4.6, 5.1-5.3, 6.1
|
quiz 3
|
quiz 3
|
|
Final, Thursday, May 17
|
100 pt |
material of 3 quizzes and Sec. 6.2, 6.3
|
final
|
final
|
The final exam is on
Thursday, May 17
from 6 pm to 8 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
-
HW1 due Tuesday 02/06/18 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
-
HW2 due Tuesday 02/13/18 starts here
solutions
- Sec. 1.3, p.32: 16, 12, 14, 23(c,d, e), 29
- Sec. 1.4, p.40: 2, 4, 6, 8, 9, 12, 13, 14, 22, 34, 35
- Sec. 1.5, p.47: 2, 8, 10, 12, 13, 15, 18, 35, 38
- Sec. 2.1, p.100: 3, 5, 6, 12, 24, 26
-
HW3 due Tuesday 02/20/18 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, 30
-
HW4 due Tuesday 02/27/18 starts here
solutions
- 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
-
No HW due Tuesday, March 6, 2018
-
HW5 due Tuesday 03/13/18 starts here
solutions
- 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 Thursday 03/29/18 starts here
solutions
- Sec. 4.2, p. 205: 6, 9, 14, 27, 28, 30
-
HW 7 due Tuesday 04/03/18 starts here
solutions
- Sec. 4.3, p.213: 3, 8, 13, 14, 21(b,c,d), 22(a,b,e), 25, 30
-
HW 8 due Tuesday 04/17/18 starts here
solutions
- Sec. 4.4, p.222: 3, 7, 10, 14, 22, 26;
- 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;
-
HW 9 due Tuesday 04/24/18 starts here
solutions
- Sec. 3.1, p.167: 15, 30, 41, 46 (for a 3X3 matrix A)
- Sec. 3.2, p.175: 6, 15, 17, 19, 22, 25, 27(a,c,d)
- Sec. 5.1, p.271: 7, 9, 17, 24, 26, 30.
-
HW 10 due Tuesday 05/01/18 starts here
solutions
- Sec. 5.2, p.279: 2, 4, 7, 8, 25
- Sec. 5.3, p.286: 6, 7, 12, 20, 21(a,b)
- Sec. 6.1, p.336: 2, 7, 10, 14, 16, 17, 20, 23, 31;
-
No HW due Tuesday, May 8, 2018. Get ready for the quiz.
Future Homework assignments
- 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, 17, 19;
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.