Department of Mathematics, University of Toronto
MAT223H1S - Linear Algebra I
Brief Course Description
Welcome to MAT223H1S Linear Algebra I. This sheet answers the most common questions about the course.
Please take a few minutes to read this course information handout carefully and keep a copy for your records.
This is the ▯rst undergraduate course in linear algebra taken by students from a variety of disciplines. The
course covers: systems of linear equations, matrix algebra, vector geometry, vector spaces, rank, orthogo-
nality, introduction to linear transformations, determinants, eigenvalues and eigenvectors, diagonalization.
Throughout the course, you will have an opportunity to develop your problem solving, reasoning, and logic
skills. Students will be required to be able to solve standard computational problems in each section covered,
understand all theoretical concepts involved, and be able to do simple, short proofs of particular statements.
You will see some interesting and exciting material in this course. If you run into some trouble along the
way, please do not hesitate to contact your instructor or TA for help.
Section Time Lecture Room Instructor O▯ce
L0101 T1-3, W1 SS 2135 S. Rayan BA 6256
L0201 T1-3, R1 MP 202 S. Uppal ES 3145
L0301 T1-3, F1 SS 2117 F. Murnaghan BA 6266
L5101 T6-9 SS 2117 P. Samuelson ES 2143
L5102 W6-9 LM 159 M. Mota BA 6168
The course coordinator is S. Uppal - email: [email protected]
O▯ce hours: Tuesdays 3:10-4pm, Wednesdays 12:10-2:00pm, or by appointment.
The course Blackboard website is accessible through the main UofT portal - https://portal.utoronto.ca. All
announcements and handouts will be posted on the course website. Please visit the website regularly.
Your ▯nal grade will be calculated by the following formula:
Midterm Exam I & Midterm Exam II - 40% (combined), Quizzes - 10%, Final Exam - 50%.
Bernard Kolman, David Hill: Elementary Linear algebra with Applications, 9th edition. There is also a
Students Solution Manual for the 9th edition should you wish to purchase it.
1 of 6 Tutorials and Quizzes
Every student should be registered in one tutorial section. You must register in one of the tutorial
time slots through ROSI before the end of the second week of classes. By the end of the second
week of classes tutorial locations will be posted on the course website.
Tutorials begin the 3rd week of classes. During your tutorials your TA will discuss tutorial problems" which
will be posted on the course website each Friday before your tutorial the following week. The problems are
based on the suggested homework problems (see Weekly Schedule below), emphasize the most important
concepts, and are meant to help prepare you for the exams. Feel free to ask questions about the problems
you have most di▯culty with. Tutorials are an integral part of the course and should be regarded as just as
important as lectures.
There will be nine, 10-15 minute quizzes and the end of almost every tutorial (see Weekly Schedule below).
The quiz will consist of one of two problems based on the suggested problems/tutorial problems for that
week. Students are expected to provide their own paper to write the quiz. The marking for the quiz will be
out of 2 with 2 being given for a perfect or nearly perfect answer (minor mathematical mistakes); 1 being
given for incorrect answers that show a good degree of understanding of the material; and 0 for everything
else. Only your best 7 out of the 9 quizzes will count. Each student must attend their assigned
tutorial to write their quiz otherwise your grade will be recorded as 0.
There will be two 90 minute midterm exams common to all sections tentatively scheduled Friday February
15, and Friday March 22 from 4:10:-5:40pm with an early sitting from 2:30pm-4:00 pm for those with a
ict. Con▯rmation of exam dates and times will be posted on the course website as soon as possible.
If you have a legitimate con
ict and need to register for the early sitting of the exams, contact the course
coordinator. There will be no make-up exams. Exact details about exam coverage etc will be posted
on the website roughly two weeks before the test date.
Midterm I & II account for 40% of your ▯nal grade combined. The higher of your two midterm exam grades
will account for 25% of your ▯nal grade; the lower 15%. This only applies to students who write both exams.
If you only write one midterm exam due to illness, it will count for 20% of your ▯nal grade and your ▯nal
exam will count for 70% of your ▯nal grade.
If you miss the midterm for a legitimate reason which you can document, your grading scheme will be
adjusted by increasing the ▯nal exam component of your mark. The documentation must be submitted to
the course coordinator no later than 7 days after the date of the exam/quiz otherwise your grade for the
exam/quiz will be recorded as zero. From the Faculty of Arts & Science:
"You will need o▯cial documentation that con▯rms you were unable to do what you were supposed to do
on the dates you were supposed to do it, i.e., documentation must indicate incapacity, and give the dates or
period a▯ected. Generally speaking, the stronger your documentation, the stronger your case...Those doc-
tors notes with Patient was ill or O▯ work scribbled on little prescription pads wont be accepted. Also, the
Medical Certi▯cate must indicate that the doctor diagnosed and treated you when you were ill; it cannot
just report that you told the doctor after-the-fact that you were ill previously."
Generally, an illness must be serious enough that it prevents you from writing an exam. For example, a
headache is not su▯cient to warrant absence. The only accepted note is a fully completed University of
Toronto Medical Certi▯cate. You can ▯nd a copy of the form here:
2 of 6 It must be original and completed by a quali▯ed medical doctor (e.g., not an acupuncturist, chiropractor, or
other health care professional). The doctors OHIP registration number must be provided on the note.
Under no circumstances can the ▯nal exam count for more than 80% of your ▯nal mark.
Questions and Answers Website
This term we will be using Piazza for class discussion. Piazza is a free platform for instructors and TAs to
e▯ciently manage out-of-class Q&A. On the class dashboard, students can post questions and collaborate
Wikipedia- style to edit responses to these questi