Vancouver Island University
Department of Mathematics
Linear Algebra MATH 241
Instructor Dr. Lev V.
Idels
Fall 2023
Linear Algebra is a wonderful and powerful tool and has applications in
most areas of modern mathematics. Applications of Linear Algebra in
Computer Science are: Graphics, Image processing,
Cryptography, Machine Learning, Computer Vision, Graph-Algorithms, Quantum
Computation, Information Retrieval and Web Search.
Math 241 is a rigorous introduction to the LA, with an emphasis on proof writing
and abstract reasoning.
Topics include computing algorithms, matrix algebra, spaces
and subspaces, linear transformations, eigenvalues and eigenvectors, best
approximations, and elements of complex algebra. Applications to data science and
machine learning.
Read the following material. It describes how this course will be run.
You will be expected to be aware of everything on this document and to act
accordingly.
Textbook: Linear Algebra by
D. Lay 6th ed.
Pearson eText - CAD$49.99
https://www.pearson.com/store/p/linear-algebra-and-its-applications/P100003009885/9780136880929
180-day
subscription- USD$44.99
Permanent
download - USD$74.99
Course Name: Linear Algebra and Its Applications, 6th
Edition
Course ID: idels31874
Course Type: Student Course
Course Dates: Jan 06, 2022 - Jan 06, 2024
Enrollment Dates: Jan 06, 2022 - Jan 06, 2024
Course Materials: Linear Algebra and Its Applications
6th Edition
Lecture Notes: Lecture notes will not, in general, be provided. It is up to the student to attend class. At times my lectures may deviate from the book, so I encourage you to attend lectures regularly.
Office hours/tutorials are set on each Friday. If you need to see me outside of the announced office hours, please set
up an appointment with me, either by speaking to me before or after class, or
by sending me an email message (include "MATH 241” in the subject line,
please).
E-mail: lev.idels@viu.ca . Attend class if you
choose to take this class, you’ll need to attend. A good portion of the
material we cover will not be in your text. Don’t decide to take this class
without committing yourself to attending each and every
class. Office: Building 359 room 204.
Syllabus
for 2023
1.
Linear Systems 1.1-1.7.
2.
Matrix Algebra 2.1-2.5, 2.7.
3. Euclidian Vector
Spaces 2.8-2.9.
4. General Vector
Spaces 4.1-4.7.
5.
Linear Transformations 1.8-1.9, 8.1-8.3.
6.
Determinants 3.1-3.2.
7. Complex Algebra.
App B.
8. Eigenvalues and
Eigenvectors 5.1-5.4.
9. Best
Approximation 6.1, 6.4-6.5.
10. Machine learning
and linear models 6.6.
Homework. Each Thursday HW assignment
will be posted on D2L along with its Solution
Keys on Sunday. HW will not be graded or marked. Many of the exam questions will resemble the assigned homework
problems.
Grading and Tests. 4 midterms - 100%; that is, each Test is up to max 25% .
A.
Exam
dates are on Wednesdays: Sep 27, Oct 18,
Nov 15 and Dec 6.
B.
For each midterm test a Practice
Test will be posted on D2L with Solutions keys.
C.
After each Midterm Test its
Solution Keys will be posted on D2L.
D. All midterms are closed-book tests. Simple Sci calculators and a
self-made formulae sheets( only formulae!)
are allowed. The solution to a problem should be written bearing in mind that
you are communicating to a reader (me, in this case). Thus, an answer should
guide the reader toward the solution. The midterm tests are cumulative in nature.
E. There will be no make-up tests; if you have a medical reason for missing a midterm, then you must
provide me with a written request to be excused, and this must include a note
from a physician. In most cases, your score on the comprehensive part of the
final exam will be used in place of the missed work. If you have a question or concern about an assigned mark, please
bring it to my attention within 3 calendar days of the date when the midterm is
returned to the class. I will always answer your questions, but after 3 days I
won’t change your mark.
F. Last day
of classes Dec 8’23.
|
% |
90-10 |
85-89 |
80-84 |
76-79 |
72-75 |
68-71 |
64-67 |
60-63 |
55-59 |
50-54 |
0-49 |
|
Letter
Grade |
A+ |
A |
A- |
B+ |
B |
B- |
C+ |
C |
C- |
D |
F |
|
Grade
Point |
4.33 |
4.00 |
3.67 |
3.33 |
3.00 |
2.67 |
2.33 |
2.00 |
1.67 |
1.00 |
0.00 |
Which
of the above intervals contains your overall percentage, and nothing else
determines your grade. You get what you get!
Have Fun!