Calculus and Linear Algebra for Commerce

University of Toronto Mississauga

Mathematics of finance, matrices and linear equations. Review of differential calculus; applications. Integration and fundamental theorem; applications. Introduction to partial differentiation; applications. NOTE: This course cannot be used as the calculus prerequisite for any 200-level MAT or STA course, except in combination with MAT233H5.
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MAT133Y5 Syllabus for Parker Glynn-Adey — Fall 2018

9/4/2018 Syllabus for MAT133Y5 Y LEC0101 20189:Calculus and Linear Algebra for Commerce 1/7
Course Syllabus
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Mat133 - Syllabus (Fall 2018 - Winter 2019)
Table of Contents
Course Description
Learning Objective and Expectations
Course Meetings
Office Hours
Math Help Centre
Calculus Readiness Assessment
Term Tests
Missing a Term Test
Final Exam
Evaluation Scheme
Course Materials
Course Website
Problem Sets
Email Policy
Academic Integrity
Academic Skills Centre
Fall Term
Winter Term
Course Descripon
MAT133 is a first year mathematics course designed for business and commerce students. It is a full credit course, and covers
Review of Precalculus,
Financial Mathematics,
Linear Algebra,
Discrete Mathematics,
Limits and Continuity,
Applications of Derivatives,
Applications of Integration
Multivariate Differentiation and Integration.
Learning Objecve and Expectaons
9/4/2018 Syllabus for MAT133Y5 Y LEC0101 20189:Calculus and Linear Algebra for Commerce 2/7
The successful student will leave the course with a fundamental understanding of the topics enumerated in the course description, in addition
to the applications of those topics to business and finance. This includes conceptual aspects as well as computational aspects of the course.
The student will be able to analyze a standard problem and present a logical argument to determine its solution. We expect the student to
engage the material honestly and thoughtfully.
Students should have a minimum of 70% in Grade 12 Advanced Functions or the equivalent from his/her corresponding secondary school.
Students who do not satisfy these prerequisites are allowed to take the course ``at their own risk,'' with the expectation that the student will fill
any gaps in their learning on their own time. Students taking this course without satisfying the prerequisites are not required to submit a
prerequisite waiver.
Course Meengs
The course will consist of weekly lectures and tutorials.
Lectures are an opportunity for students to learn the material, and to ask questions. Students are required to attend the lecture section of their
official enrollment. If a student wishes to change their lecture section attendance, then students are required to make the change of
lecture section official by contacting the UTM Registrar's Office.
This will be necessary in order to write the tests.
Section Instructor Email Room Time
LEC0102 Hossein
Ramandi hossein
KN 137 (Tues)
DV 2074 (Wed)
Tues 1300 - 1500
Wed 1500 - 1600
LEC0103 Tyler
Holden tyler.holden
DV 2072 (Tues)
IB 120 (Thurs)
Tues 1500 - 1600
Thurs 1500 - 1700
LEC0104 Parker
Glynn-Adey parker.glynn.adey
DV 2072 (Wed)
IB 120 (Fri)
Wed 1100 - 1200
Fri 1100 - 1300
LEC0105 TJ
Yusun tj.yusun
IB 120 (Wed)
DV 2074 (Fri)
Wed 1100 - 1300
Frid 1000 - 1100
Tutorials will consist of problem solving sessions, and represent an opportunity for students to receive feedback and assistance on their work.
As a general rule, students should feel free to attend any and as many tutorial sections as they choose, so long as this does not interfere with
the attendance of officially registered students. Tutorial rooms often change before the beginning of term, both in September and January. Be
sure to check the official timetable ( before your first tutorial to double
9/4/2018 Syllabus for MAT133Y5 Y LEC0101 20189:Calculus and Linear Algebra for Commerce 3/7
check your rooms.
For this reason, all students are required to enrol in a tutorial. Note that you may change the tutorial in which you are officially enrolled in as
often as you like before September 19, 2018.
Instructor/TA Office Hours
You are not required to attend the office hours for your instructor, and should feel free to visit as many as you like. However, you should prepare
ahead of time to make effective use of your time.
Instructor/TA Room Time
Parker Glynn-Adey DH 3031
Wed 1200 - 1300
Thurs 1400 - 1500
By appointment
Tyler Holden DH 3086
Tues 1200 - 1300 (General)
Thurs 1100 - 1200 (General)
By appointment
Hossein Ramandi DH 3097B Tues 1500 - 1600
TJ Yusun DH 3058 Thurs 1000 - 1230 (General)
Thurs 1330 - 1530 (General)
Math Help Centre
The Math Help Centre is run by TAs from multiple different mathematics courses, including each of the first year calculus courses. They will be
happy to help you with mathematics problems, regardless of which course you are from. It is located in DH 2027 and the hours can be found
here. (
Evaluation will consist of four components: the CRA, six (6) written assignments, four (4) term tests, and one (1) final examination.
Calculus Readiness Assessment
The Calculus Readiness Assessment (CRA) is a written test of your pre-calculus knowledge. It will be held Friday, September 21, 2018 from
1500 - 1700. Rooms will be announced closer to the date of the test. The assessment is based on secondary school material (excluding
calculus), and its purpose it to help you measure your readiness for university math courses. Your mark on the CRA will count as 6% of your
course mark. More information regarding the CRA will be made available closer to the date of the test.
There will be six (6) assignments posted regularly in each academic term. As per the letter of intent -- referred to in the research
statement -- students are divided into either Group A (even student numbers) or Group B (odd student numbers). Both groups will have access
to the assignments and solutions when posted. Group A students will be required to submit their work for evaluation in the Fall term (Sept-Dec),
while Group B will be required to submit their work for evaluation in the Winter term (Jan-Apr).
Each assignment will be worth 2% of the final mark. Assignments must be printed off from the website, and solutions supplied in the provided
space. Assignments will be due via Crowdmark on the dates below:
*General office hours are shared amongst other courses, and are not MAT133 specific.
1 - Appointments are required and are visible by clicking the link. If no appointment is scheduled, the instructor will still be available for drop-in office hours.
9/4/2018 Syllabus for MAT133Y5 Y LEC0101 20189:Calculus and Linear Algebra for Commerce 4/7
Assignment Fall Term (Group A) Winter Term (Group B)
Assignment 1 Fri, Sept 28 Fri, Jan 25
Assignment 2 Wed, Oct 17 Wed, Feb 6
Assignment 3 Fri, Oct 26 Fri, Feb 15
Assignment 4 Wed, Nov 7 Wed, Mar 6
Assignment 5 Fri, Nov 16 Fri, Mar 15
Assignment 6 Wed, Nov 28 Wed, Mar 27
You are encouraged to work together on assignments, but are required to write and submit your work independently of other classmates.
Term Tests
There will be two term tests each term for a total of four (4) Term Tests. They will be held on Fridays from 1500-1700, on the following days:
Friday, October 19, 2018,
Friday, November 23, 2018,
Friday, February 1, 2019,
Friday, March 15, 2019.
Your worst term test will be weighted at 6%, with all other term tests worth 12%
Missing a Term Test
If you are forced to miss a term test because of an illness or other extenuating circumstance, you must alert the course coordinator Tyler
Holden within 24 hours of the term test, and provide supporting documentation no later than one week after the term test. In particular, the
university has very precise procedures regarding documentation of sick notes ( , and a form for
extenuating circumstances.
Failure to adhere to any of these policies will result in your term test being assigned a grade of zero (0).
Students granted an exemption will have their marking scheme adjusted as follows:
One Exempted Test: The other three term tests will be reweighted to 12% each, with a 46% final exam.
Two or More Exempted Tests: Each written test will be worth 12%, with the weight from all missed tests reallocated to the final exam.
Final Examinaon
The final examination will take place during the August 2019 examination period and will be three (3) hours long. It will be cumulative, covering
all materials covered in the lectures, tutorials, and assigned work.
Evaluaon Scheme
6 % CRA + 12 % Assignments + 42% Term Tests + 40% Final Exam.
Course Materials
Course Website
The course website is located on Quercus ( . All announcements, documents, tutorial problems, and online quizzes can be
found there. It is the student's responsibility to check the course website regularly for new announcements.
9/4/2018 Syllabus for MAT133Y5 Y LEC0101 20189:Calculus and Linear Algebra for Commerce 5/7
[Mandatory] Tyler Holden's notes will be the primary resource for this class. All required material is present in these notes. These notes
can be printed at home or through a printing house, but students in the past have had problems because the notes look too similar to a
traditional textbook. If you would like to purchase a printed copy of the notes, the bookstore ( has them for sale
at a reasonable price.
[Optional] Any other first year financial mathematics textbook for exercise problems. One option includes:
Introductory Mathematical Analysis, (any edition) by Haeussler, Paul, and Wood.
In particular, note that the optional text is in its 14th edition. Older versions of these books are almost identical, and significantly more
affordable. As this last textbook is entirely optional, we recommend that students not buy this textbook, or at least wait until the
second week before deciding whether or not to buy a textbook.
Problem Sets
The end of each chapter from the notes includes exercise problems. These are designed to be practice questions specifically tailored to class
material, and you should answer them all to ensure your understanding of the material. Students are obviously free to do exercises from the
optional textbook as well. If you are ever in doubt whether an exercise problem from another source is appropriate, do not hesitate to ask your
TA in tutorial.
Email Policy
All emails must originate from a email address, and contain [MAT133] in the beginning of the subject. Failure to adhere to these
policies will result in your email not making it through our filters, and your email will not be read. You should address any administrative
questions to the course coordinator (Tyler Holden).
Academic Integrity
The student is responsible for being familiar with all aspects of academic integrity (
academic-integrity) .
If you have a learning need requiring accommodation, please refer to AccessABILITY resource centre
( .
Academic Skills Center
Robert Gillespie Academic Skills Centre (RGASC)
Location: The New North Building, Room 3251 (3rd floor)
The RGASC provides more than just writing support. They also offer a variety of resources to help students develop their numeracy and
scientific literacy skills.
Math Drop-in Sessions: Math drop-in sessions give students an opportunity to get more general assistance with the skills they need to
succeed in their math courses at UTM. These appointments are generally short and offered on a first come, first served basis, so be sure to
arrive early with specific questions in mind. The math drop-in schedule is available on the RGASC website
( .
Booked Appointments: You can consult with a Math and Scientific Literacy Strategist about techniques for improving your learning
approaches and making them work for you so that you succeed in your courses. Strategists can also help you with lab reports, problem-solving,
and test preparation. Book an appointment through the RGASC website ( .
Facilitated Study Groups: FSGs are a great way to help you improve your study skills and meet other students in your courses. Check out the
FSGs offered for various courses and other math and science courses get advice on study methods from students who have taken the course,
9/4/2018 Syllabus for MAT133Y5 Y LEC0101 20189:Calculus and Linear Algebra for Commerce 6/7
done well, and been trained by the RGASC on how to help you study. The FSG schedule and additional information will be posted soon on the
RGASC website ( .
Study tips
Common mistakes (and how to avoid them)
Fall Term Tentave Schedule
Week Section (Notes) Comments
Week 0 (Sept 3) Ch 1 Classes Start Sept 6
No Tutorials
Week 1 (Sept 10) Ch 1 Tutorials Begin
Week 2 (Sept 17) 2.1 - 2.2 CRA (Sept 21)
Week 3 (Sept 24) 2.3, 3.1 Assignment 1a due (Sept 28)
Week 4 (Oct 1) 3.2 - 3.4
Reading Week (Oct 8) Reading Week Reading Week
Week 5 (Oct 15) 3.4 - 3.5 Assignment 2a due (Oct 17)
Term Test 1 (Oct 19)
Week 6 (Oct 22) 3.6 - 3.7 Assignment 3a due (Oct 26)
Week 7 (Oct 29) 4.1 - 4.2
Week 8 (Nov 5) 4.3 - 4.4 Assignment 4a due (Nov 7)
Week 9 (Nov 12) 5.1 - 5.3 Assignment 5a due (Nov 16)
Week 10 (Nov 19) 5.4 Term Test 2 (Nov 23)
Week 11 (Nov 26) 5.5 Assignment 6a due (Nov 28)
Week 12 (Dec 3) 6.1
Winter Term Tentave Schedule
Week Topics Notes
Week 1 (Jan 7) 6.2 - 6.3 Classes Start Jan 7
No Tutorials
Week 2 (Jan 14) 6.4 Tutorials Begin
Week 3 (Jan 21) 7.1, 7.3 Assignment 1b due (Jan 25)
Week 4 (Jan 28) 7.4, 7.6 Term Test 3 (Feb 1)
Week 5 (Feb 4) 8.1 - 8.2 Assignment 2b due (Feb 6)
Week 6 (Feb 11) 8.3 - 8.4 Assignment 3b due (Feb 15)
Reading Week (Feb 19) Reading Week Reading Week
Week 7 (Feb 18) 9.1, 9.3
Week 8 (Mar 4) Ch 10 Assignment 4b due (Mar 6)
Week 9 (Mar 11) 11.1 - 11.3 Assignment 5b due (Mar 15)
Term Test 4 (Mar 15)
Week 10 (Mar 18) 11.4
Week 11 (Mar 25) 10.5 Assignment 6b due (Mar 27)
Week 12 (Apr 1) Buffer
9/4/2018 Syllabus for MAT133Y5 Y LEC0101 20189:Calculus and Linear Algebra for Commerce 7/7
Course Summary:
Date Details
This year, MAT133Y5Y will be part of a research study designed to test the efficacy of assignments in large first year courses. More information
can be found in the letter of intent . During the CRA, you will be given an opportunity to consent or deny participation within the study. Your
consent will be held in confidence from your instructors and simply allows the researchers to use your data. All data will be anonymized and
stored in a secure location on campus. Neither your grades, nor the evaluation scheme of the course will depend on your consent to the study.

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