Mat137 syllabus PDF

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MAT 137Y – Calculus

Fall/Winter 2019-2020

Course Staff Instructors: Name

Section

E-mail

Office Hours

Jaimal Thind

LEC 0101

[email protected]

Tu 14, W 14, Th 10

LEC 0102

[email protected]

(Course Coordinator) Xiudi Tang

& Th 16 in DH 3025 Tu/Th drop in or appointment in DH 3019

Nadya Askaripour

LEC 0103

[email protected]

Tu 10, Th 11 in DH 3097A

Teaching Assisstants: Name

Sections

E-mail

Office Hours

Muhammad Kamal

TUT 0101, 0105

[email protected]

F 10-1 in DH 2027

Aslesha Pokhrel

TUT 0102

[email protected]

Tu 15 in DH 2027

David Scott

TUT 0103, 0106

[email protected]

M 15-18 in DH 2027

Motasem Suleiman

TUT 0104, 0107

[email protected]

Tu 17, Th 12-14 in DH 2027

Course Description A conceptual approach for students with a serious interest in mathematics. Geometric and physical intuition are emphasized but some attention is also given to the theoretical foundations of calculus. Material covers first a review of trigonometric functions followed by discussion of trigonometric identities. The basic concepts of calculus: limits and continuity, the mean value and inverse function theorem, the integral, the fundamental theorem, elementary transcendental functions, Taylor’s theorem, sequences and series, power series. Prerequisites

The prerequisite for the course is a minimum grade of 70% in both Grade 12 Ad-

vanced Functions (MHF4U) and Grade 12 Calculus and Vectors (MCV4U) . Students who do not have this prerequisite are allowed to take the course at their own risk, and are expected to learn certain relevant high school topics independently. There is NO NEED to fill out and/or submit a request for a waiver. Textbook.

Calculus in One Dimension vol I & vol II, by T. Holden. We will use Volume I in the

fall term, and Volume II in the winter term. The bookstore has copies of these books. They are sold independently, and you are encouraged to buy Volume I only, until you are sure you will continue in this course. (I.e. buy Volume I in September, and wait until January to buy Volume II.) There is no

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MAT 137Y – Calculus

Fall/Winter 2019-2020

cost difference for buying this way, and it saves you money if you decide not to take this course. Course Website.

You can access the MAT 137 course website through Quercus. Homework

assignments, messages, handouts and other important information will be posted on the website, so you should check it regularly. You will also be able to see your marks for the written homework assignments, quizzes and term tests online. Office Hours.

Please do not be hesitant to come ask us for help. The staff of MAT 137 are

available for extra help outside of class, during our scheduled office hours (see above for dates/times). In addition to these hours, before tests and exams we will hold extra office hours. The times and locations of these hours will be posted on the course webpage. If you cannot make any of the scheduled office hours, please let the instructor know, and hopefully an alternate meeting can be arranged. Tutorials.

Tutorials will begin the week of September 9. All students must be enrolled in a

tutorial section. You should only attend the tutorial you are enrolled in. The main purpose of the tutorial is to give you an opportunity to ask questions and work through examples together with your TA. To get the most from your tutorial, you should review the lecture material and try the assigned problems before your tutorial. Each week there will be a worksheet that your TA will have you work on, either in small groups or independently. Every other week you will write a quiz based on these problems. In addition, these problems will help you understand the material, solve your homework problems, and prepare for tests and exams. Late Drop-down.

There is no longer an option to drop down to MAT 135 after the first MAT

137 term test. The Registrar’s Office and Dean’s Office have decided that this shouldn’t be allowed anymore. The deadline to swtich calculus courses is September 19 (the last day to add or change sections of a course).

Marking Scheme Your final grade will be determined as follows: Written Homework

10%

Tutorial Quizzes

10%

Four Term Tests (4 @ 10% each)

40%

Final Exam

40%

Course Grade

100%

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MAT 137Y – Calculus

Fall/Winter 2019-2020

Term Tests • There will be 4 (four) term tests. The dates of the tests are as follows: Term Test #1 - October 25, 2019 Term Test #2 - November 22, 2019 Term Test #3 - February 7, 2020 Term Test #4 - March 20, 2020 • Tests will take place during the F 16-18 time slot for all LEC sections!! Please arrange your schedule now, to ensure you are available at the day/times above. Missing a Term Test.

There will be NO make-up tests. If you cannot show up for a test because

of illness or any other special reason, you should declare your absence on ROSI and provide documentation. For medical notes, you MUST use the official UTM Verification of Illness or Injury form, which can be downloaded from the course website. Please keep a copy of the form for your own records. The first time you miss a test, you can simply submit your documentation online (see course page for relevant link). If you miss further tests, you must bring your original documentation to the course coordinator, Jaimal Thind, within one week of the test and submit it online. The marking scheme will be adjusted as follows for students who have missed a test because of illness or any other (approved) legitimate reason. One missed test: The other tests will be worth 12% each and the final exam will be worth 44%. Two missed tests: The other two tests will be worth 15% each, and the final exam will be worth 50%. Three missed tests: The other test will be worth 20%, and the final exam worth 60%. If at some point you anticipate missing all four tests, you should come speak to the coordinator.

Final Exam The final exam of the course will take place during the examination period in April and will be 3 hours long. It will cover all the material from the course. The date, time, and location of the exam will be arranged by the Exam’s Office, and posted once it has been set. Page 3

MAT 137Y – Calculus

Fall/Winter 2019-2020

Homework Assignments There will be 10 written homework assignments throughout the course. These are to be submitted on our course page by 11.59pm on the date they are due. Late assignments are not accepted. Assignments will be posted on the course page.

Tutorial Quiz Each week in TUT your TA will give you some problems to work on, either independently or in small groups. You will be able to ask your TA questions about these problems, and get help working on them in real time. Every two weeks (roughly), there will be a short quiz based on these problems. If you are attending your TUT and taking part in the problem solving during TUT, then this quiz should not be very difficult. There are no make up quizzes. Please see the weekly schedule for quiz dates for your TUT section.

Help If you need help there are many resources available to you. Please come and ask us for help as soon as you need it. Try not to let yourself fall behind. Here are some options for help with mathematics. • All course staff have office hours, which are posted on the course page, and at the top of this document. • You will have opportunities to ask questions in Tutorials. • We have also posted some links in the course page to additional online material (videos, online resources, etc). These can be found in the “Math Help” section of the course page. • You may find working in a small study group can be very helpful. • The Academic Skills Centre also has much to offer. Here is a message from them: At the RGASC, we provide support and a variety of resources to help students develop their math/numeracy and scientific literacy skills. Math Drop-in Sessions - Robert Gillespie Academic Skills Centre (RGASC) Location: Manjiwe Nendamowinan (MN), Room 3251 (3rd floor) 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 (15-30 Page 4

MAT 137Y – Calculus

Fall/Winter 2019-2020

minutes) and offered on a first come, first served basis. More information: https://www.utm.utoronto.ca/asc/appointments-undergraduate. FSGs (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, done well. More information: https://www.utm.utoronto.ca/asc/facilitated-study-groups-fsgs.

Code of Behaviour / Plagiarism Students should become familiar with, and are expected to adhere to, the Code of Behaviour on Academic Matters which can be found in the U of T Calendar, or at: http://www.governingcouncil.utoronto.ca/policies/behaveac.htm More links concerning academic integrity to familiarize yourself with:

(Office of Student Academic Integrity)

http://www.artsci.utoronto.ca/osai http://www.utoronto.ca/academicintegrity/

(Academic Honesty)

http://www.writing.utoronto.ca/advice/using-sources/how-not-to-plagiarize (Advice on avoiding plagiarism) http://www.artsci.utoronto.ca/current/exams/reminder

Email Policy Before you send an email to course staff, please check if the answer to your question is in the syllabus or on the discussion board. If you’re question is administrative, please email the course coordinator (Jaimal Thind) rather than your instructor. All emails to course staff should come from your “utoronto” email account, and contain “MAT 137” in the subject heading.

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MAT 137Y – Calculus

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Course Outline - Fall Term Week

Topics/ Sections Covered

Info

0

Basics

No TUTs

(Sept 5)

1.1, 1.2

1 (Sept 9-15) 2

Logic and Proof

TUTs begin

1.3, 1.4

HW#1 due Sept 15

Inequalities and Absolute Value, Functions

(Sept 16-22)

1.5, 1.6 , 1.8, 1.9

3

Inverse Functions

Quiz for Tuesday TUTs

1.7, 1.10

HW #2 due Sept 29

4

Limits

Quiz for Thursday TUTs

(Sept 30-Oct 6)

2.1-2.3

5

Limits

Quiz for Tuesday TUTs

(Oct 7-13)

2.1-2.3

HW #3 due Oct 13

(Sept 23-29)

Reading Week Oct 14-20 - No Classes 6 (Oct 21-27) 7 (Oct 28-Nov 3) 8 (Nov 4-10) 9 (Nov 11-17) 10 (Nov 18-24) 11 (Nov 25-Dec 1) 12 (Dec 2-4)

Continuity and IVT

TERM TEST # 1

2.4, 2.5

4pm-6pm on Oct 25

The Derivative

Quiz for Thursday TUTs

3.1, 3.2 Differentation Rules

Quiz for Tuesday TUTs

3.3, 3.4

HW #4 due Nov 10

Chain Rule, Implicit Differentation

Quiz for Thursday TUTs

3.5-3.7 Related Rates, Max/Min

TERM TEST # 2

4.7, 4.1

4-6pm on Nov 22

MVT and more Max/Min and Concavity

HW #5 due Dec 1

4.2, 4.3 L’Hopital’s Rule 4.4-4.6

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MAT 137Y – Calculus

Fall/Winter 2019-2020

Course Outline - Winter Term Week 1 (Jan 6-12) 2

Topics/ Sections Covered

Info

Areas, Distances & Riemann Sums

TUTs begin

5.1, 5.2 The Riemann Integral and its Properties

HW #6 due Jan 19

The Antiderivative (Jan 13-19) 3 (Jan 20-26) 4 (Jan 27-Feb 2) 5 (Feb 3-9) 6 (Feb 10-16)

5.2, 5.4 (not 5.4.3), 5.5 The Fundamental Theorem of Calculus

Quiz for Tuesday TUTs

5.6 Substitutions & Integration by Parts

Quiz for Thursday TUTs

6.1, 6.2

HW #7 due Feb 2

Trig Integrals & Trig Substitutions

TERM TEST #3

6.3, 6.4

4-6pm on Feb 7

Partial Fractions

Quiz for Tuesday TUTs

6.5 Reading Week Feb 17-23 - No Classes

7 (Feb 22-Mar 1) 8 (Mar 2-8) 9

Areas & Volumes

Quiz for Thursday TUTs

7.1, 7.4, 7.5

HW #8 due Mar 1

Improper Integrals & Sequences

Quiz for Tuesday TUTs

7.8, 7.9, 8.1 Sequences & Series

Quiz for Thursday TUTs

8.2, 8.3, 8.4

HW # 9 Due Mar 15

Convergence Tests

TERM TEST #4

(Mar 16-22)

8.5, 8.6, 8.7

4-6pm on Mar 20

11

Power Series

Quiz for Tuesday TUTs

9.1

HW #10 due Mar 29

12

Taylor Series

Quiz for Thursday TUTs

(Mar 30 - Apr 5)

9.2, 9.3, 9.4

(Mar 9-15) 10

(Mar 23-29)

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