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Department of Mathematics, University of Toronto
MAT291H1F - Calculus III
Syllabus - Fall 2017
Brief Course Description
This is a first course in multivariable calculus, covering: functions of several variables and the
gradient, multiple integrals and the Jacobian, line integrals, Green's theorem, divergence and curl
of a vector field, surface integrals, Stokes' theorem and the divergence theorem (and how they
are applied in an application context), constrained max/min problems and the method of
Lagrange multipliers. Students will be required to solve standard computational problems and
understand the main concepts, definitions, and theorems in each section covered, including the
supplementary notes.
Developing your ability to think precisely and mathematically is an important objective. The
foundations of many courses you will take in your remaining two years are based on the material
that we will cover in this course. Your instructors and TAs are available for help should you
encounter any difficulty.
Lectures/Administrative Information
Section Time/Room Instructor Office
LEC01 T 11-12/MC252 F.P. Dawson SF1021H
R 11-12/MC252 dawson@ecf.utoronto.ca
F 11-12/MC252
LEC02 T 9-10/MC254 F.P. Dawson SF1021H
R 9-10/MC254 dawson@ecf.utoronto.ca
F 9-10/MC254
LEC03 T 1-2/MC254 Jiaqi Li BA6173
W 1-2/MC254 jqi.liu@utoronto.ca
F 1-2/MC254
The course coordinator is Professor Francis Dawson; his contact email address is
dawson@ecf.utoronto.ca. The course website can be found on Blackboard and will be
administered by Professor Francis Dawson. All announcements and handouts will be posted to
the website. Please visit the website regularly. The two instructors for the course will hold
weekly office hours. From time to time, your instructors or TAs may wish to contact you with
announcements via email. You are required to maintain a working utoronto.ca email address for
this course. It is crucial that your email on ROSI (which appears on blackboard) is a utoronto.ca
or equivalent email address.
Textbook
Briggs, Cochran and Gillett: Calculus for Scientists and Engineers: Early Transcendentals, 1st
edition (15 chapters); same book as last year.
Tutorials
Every student is registered in one Tutorial Section. You must attend the Tutorial Section to
which you have been assigned.
Those students attending Lecture Section 1 will be in either Tutorial Section 1 or 2.
Those students attending Lecture Section 2 will be in either Tutorial Section 3 or 4.
Those students attending Lecture Section 3 will be in either Tutorial Section 5 or 6.
Tutorials begin the week of September 12. There will be no tutorials or quiz the week of October
9 and no quizzes the week of October 30. During your tutorials your TA will discuss some
problems from the suggested homework problems in the first 1.5 hours of the tutorial.
Consequently, to get the most out of your tutorial you must keep up to date with the homework
and come prepared to ask questions, in case you have any. This is a relatively fast-paced course,
and regular attendance in your tutorial is an essential component of this course. The Schedule of
tutorials, assigned problems and Quiz coverage is described in a separate document entitled:
MAT291 Schedule 2017.
Quizzes
Each week, during the last 25-30 minutes of the tutorial session, except during the week of the
midterm and Thanksgiving week, there will be a quiz based on the assigned homework
problems. This is to encourage you to work through all the homework problems before attending
the tutorial, and help you get the most out of the course. No make-up quizzes will be offered.
There will be 9 formal quizzes and a Quiz 0 which is not mandatory but could be beneficial to
some students for the following reasons:
it will be used to identify those students who have not mastered some key material from
the previous year.
it will allow us to identify those students whose final course grade should be adjusted if
they are close to a threshold grade such as passing the course or achieving an honors
grade.
it will be of some assistance as background material for quiz 8 and quiz 9.
Quiz 0 will be assigned a grade of pass or fail.
We will only count your top 8 quiz marks. If for whatever reason you miss a quiz because of
sickness you will forfeit that quiz and we will count all quizzes. If you miss two quizzes then
your grade for the second missed quiz will be assessed as follows: we will compare your
performance on all of your quizzes to other students that performed similar to you. We will then
look at the grades of these students on the quiz that you missed. Your assessed grade on the
second missed quiz will be similar to one of these students.
Take away message: it is in your interest to attend quizzes. You will improve your odds at doing
better than if you missed the quiz.
Quiz solutions prior to the midterm will be posted before the midterm and the solutions to the
remaining quizzes will be posted at the end of term.
Also, in the last half hour of the tutorial, prior to writing the quiz, you will be requested to pack
all books, bags and coats away, either at the front or back of the room. The quiz question will be
written on the blackboard and you should bring a piece of paper with you. Do not forget to write
out your name and student number on the piece of paper.
The TAs responsible for conducting the tutorial, administering the quizzes in the last half hour of
the tutorial and grading your quizzes are listed as follows:
Tut Time Tutorial TA Email
Sect Rm
01 T 9-11 GB 404 Ryan Koh ryan.koh@mail.utoronto.ca
02 T 9-11 GB 120 Dinseh Siewnarine dinesh.siewnarine@mail.utoronto.ca
03 R 1-3 SF 3202 Zacharie Leger zacharie.leger@mail.utoronto.ca
04 R 1-3 ESB149 Antoine Lesage-Landry alandry@ece.utoronto.ca
05 W 9-11 BA 1190 Fadime Bekmambetova fadime.bekmambetova@mail.utoronto.ca
06 W 9-11 GB 304 Zhongfa Liao zhongfa.liao@mail.utoronto.ca
Midterm Exam
There will be one 110 minute midterm exam to be held on Wednesday Nov 1 from 6:10-8 pm.
Details of room assignments for the midterm will be posted on the course website before the
exam date. There will be no make-up exam. The cover page of the midterm exam will have a
box on it in which you must indicate your tutorial section number. Please do not forget to enter
this number on the cover page of the midterm exam. You will lose 5% of your midterm grade
if you put in the incorrect tutorial number or leave it out altogether. Any concerns regarding
the grading of the midterm should be directed to Antoine Landry. He can be contacted by email
at: alandry@ece.utoronto.ca
No solutions for the midterm nor prior midterms will be posted. You can discuss what you did
incorrectly with the tutorial assistant assigned to your section.
Final Exam
A summary of what the final exam will cover will be posted on the last week of term. No
solutions to prior final exams will be posted.
Remarking Procedure
Your midterm exam and quizzes will be returned to you in the tutorial section in which you are
registered, usually within one week of being written/submitted. All questions regarding grading
of quizzes should be directed towards the TA assigned to grading your quiz and not to your
instructor. In some instances you may feel that you have been graded unfairly. If you have
written your midterm/quiz in pencil, then you must submit a request for regrading (with written
justification) before the end of the tutorial in which the work was returned. If you have
written your midterm/quiz in pen, then within three days of the work being returned to you,
you can do the following:
1. First compose a short note justifying why your grade should be changed. We will not
respond to frivolous requests. An addition error is an obvious reason for a remark.
2. Email your justification for a grade increase to the TA assigned to grading your quiz, or
to Antoine Landry for the midterm and make an appointment with him/her if he/she
agrees that a remark is warranted. Please note that regrading may result in your mark
being lowered.
Missed Term Work
If you miss a quiz or midterm deadline for a legitimate and serious reason which you can
document, you must submit an online Term Work Petition via the Engineering Portal. Please
scan your medical documentation and attach it to your petition. All of this documentation
must be submitted online no later than 7 days after the date of the quiz/midterm exam. For
situations other than sickness you should contact the Undergraduate Office to confirm that the
reason for your absence is admissible. If accepted, you must submit a petition online.
Marking Scheme
Your final mark will be calculated as follows:
Share of Final Mark Deliverable
30% Quizzes
30% Midterm
40% Final Exam
Cell Phone Policy
Please put your cell phone or communication device in the off-state during lectures. You are
permitted to take pictures of the blackboard material.
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