Announcements
We will keep announcements for MAT137 on Quercus only. By default, you should receive an email every time we post a new announcement on Quercus.
We will post all course materials (problem sets, tutorial worksheets, info about tests, videos, schedules...) here on this website.
Current relevant links
Office hours and contact info
Do you need help? Do you have questions? Do you want to talk to us? We encourage you to talk to any of the instructors or TAs in the course, not just your own. Our email addresses are below the calendar.
Locations and times for our office hours are likely to change during the year and on certain weeks. Always check the calendar below for the most up-to-date information.
For feedback on your proof writing, visit the proof clinic at the hours below.
Email addresses:
- Jean-Baptiste Campesato: campesat (at) math (dot) toronto (dot) edu
- Qin Deng: qin (dot) deng (at) mail (dot) utoronto (ca)
- Alfonso Gracia-Saz: alfonso (at) math (dot) toronto (dot) edu
- Francisco Guevara Parra: guevara (dot) guevaraparra (at) mail (dot) utoronto (dot) ca
- Jeffrey Im: jim (at) math (dot) toronto (dot) edu
- Ivan Khatchatourian: ivan (at) math (dot) toronto (dot) edu
- Boris Khesin: khesin (at) math (dot) toronto (dot) edu
Videos
We are creating short youtube videos that explain many of the concepts in the course. We expect you to watch these videos before coming to class. Your instructor will tell you what to watch for each day. If you come to lecture without having watched them, you won't get much out of it.
Pro-tip: The videos are hosted on YouTube. Like other YouTube videos, you can adjust their playback speeds to your preference.
Lecture and tutorial questions
To see the questions you worked on during lecture, see your section-specific page under the 'Resources' tab.
To see the questions you worked on during tutorial, see the 'Tutorials' tab.
Fall term schedule
- Playlist 1: Logic, quantifiers, conditionals, and proofs.
- 15 videos
- 6 lectures (including the first one)
- Textbook: Sections 1.1, 1.2, 1.3, 1.4
- Practice problems (from the textbook):
- Section 1.1: Problems 1, 2, 8
- Section 1.2: Problems 5, 10, 12
- Section 1.3: Problems 6, 8ab, 9
- Section 1.4: Problems 1, 3, 5
- Playlist 2: Limits and continuity
- 22 videos
- 9 lectures
- Textbook: Sections 1.8, 2.1, 2.2, 2.3, 2.4, 2.5
- Practice problems (from the textbook):
- Section 1.8: Problem 8
- Section 2.1: Problems 1, 2bc, 4bcdh, 5bcde, 7
- Section 2.2: Problems 1cdgj, 8bc, 10, 13d, 14, 19
- Section 2.3: Problems 2ac, 5, 10, 11ad
- Section 2.4: Problems 1b, 3, 5, 6, 8, 13
- Section 2.5: Problems 1ab, 4, 17abcde
- Playlist 3: Derivatives
- 20 videos
- 7 lectures
- Textbook: Sections 3.1, 3.2, 3.3, 3.4, 3.5, 3.7, 4.7
- Practice problems (from the textbook):
- Section 3.1: Problems 1a-c, 3a-c, 5ab, 17
- Section 3.3: Problems 1a-d, 2a, 4, 5, 10, 16a-e
- Section 3.4: Problems 1, 2, 3a-e, 3k-l, 4
- Section 3.5: Problems 1a-k, 3, 8a-e, 10, 15
- Section 3.6: Problems 5a-l, 9
- Section 3.7: Problems 4abd, 5abd, 7, 9cjlmn
- Section 4.7: All problems in this section are good. Do as many as you think you need to be comfortable with related-rates.
Many of these problems are computational. One of your goals is to compute derivatives quickly and without error. Depending how close or far you are to that goal, choose to do fewer or more of the problems we suggest.
- Playlist 4: Inverse functions and inverse trigonometric functions
- 8 videos
Note: The beginning of this playlist may appear unnecessarily complicated. The notions of codomain, range, and inverse are normally treated in a much simpler way in calculus. However, this causes confusion when you later encounter them in other math or CS courses. Thus, I have explained these concepts in the most general way first, before explaining the simplification we will be using in calculus.
- 3 lectures
- Textbook: Sections 1.5, 1.7, 3.6
- Practice problems (from the textbook):
- Section 1.7: Problems 1, 7, 8
- Section 3.6: Problems 5p-w, 7, 12, 13, 14
- Playlist 5: The Mean Value Theorem and applications
- 12 videos
- 4 lectures
- Textbook: Sections 4.1, 4.2, 4.3
- Practice problems (from the textbook):
- Section 4.1: Problems 1abcfq, 2acefg
- Section 4.2: Problems 1, 2, 4, 7, 10
- Section 4.3: Problems 1abde, 2acdfl
- Playlist 6: Application of the derivative
- 16 videos
- 6 lectures
- Textbook: Sections 4.4, 4.5, 4.6, 4.8, 4.9
- Practice problems (from the textbook):
- Section 4.9: Problems 1acd, 4, 9
In addition, to practice the computational side, do as many (or as few) as you need of the following:
- Section 4.4: Problem 1
- Section 4.5: Problem 1
- Section 4.6: Problem 1
- Section 4.8: Any
- Section 4.9: Problem 10
Winter term schedule
- Playlist 7: The definition of integral
- 12 videos
- 5 lectures
- Textbook: The textbook studies this topic in Sections 1.12, 5.1, 5.2, 5.3, 5.4. However, the analysis in the textbook is more advanced than what we need in this course, and is perhaps more appropriate for MAT157.
- As an alternative to the practice problems from the textbook, here is a list of practice problems more appropriate for us.
- Playlist 8: The Fundamental Theorem of Calculus
- 7 videos
- 3 lectures
- Textbook: Sections 5.5, 5.6
- Practice problems (from the textbook):
- Section 5.5: Problems 1a-i, 2, 5ae, 6, 7
- Section 5.6: Problems 1abf, 2, 7a, 9, 10
- Playlist 9: Integration methods
- 15 videos , but many are supplementary (extra examples).
Also, we are skipping Videos 9.13, 9.14.
- 4 lectures
- Textbook: Sections 6.1, 6.2, 6.3, 6.5
- As practice problems, do as many or as few problems from the above 4 sections from the textbook as you master all the integration methods.
- Playlist 10: Applications of the integral
- 2 videos
- 2 lectures
In videos and lecture you will study volumes. In Tutorial 16, you will learn other applications of the integral.
- Textbook: Sections 7.4, 7.5
- Practice problems (from the textbook):
- Section 7.4: Problems 1a, 2ackno, 7
- Section 7.5: Problems 1afmop
- Playlist 11: Sequences
- 8 videos
- 4 lectures
- Textbook: Sections 8.1, 8.2
- Practice problems (from the textbook):
- Section 8.1: Problems 2h-l, 3e-k, 6, 7, 8,
- Section 8.2: Problems 2acd, 3, 4, 6, 7, 10, 18, 19
- Playlist 12: Improper integrals
- 10 videos
- 3 lectures
- Textbook: Sections 7.8, 7.9
- Practice problems (from the textbook):
- Section 7.8: Problems 1a-c, 3, 4, 6a-d, 8, 11, 14, 15
- Section 7.9: Problems 2, 3a-e, 4
- Playlist 13: Series
- 19 videos
- 7 lectures
- Textbook: Sections 8.3, 8.4, 8.5, 8.6, 8.7
- Practice problems (from the textbook):
- Section 8.3: Problems 2, 3, 4b
- Section 8.4: Problems 1cdef, 2
- Section 8.5: Problems 1abdegmo, 4
- Section 8.6: Problems 1ae, 2abcdfh, 10
- Section 8.7: Problems 1, 2, 3, 5
- Playlist 14: Power series and Taylor series
- 15 videos
- 8 lectures
- Textbook: Sections 9.1, 9.2, 9.3, 9.4
- Practice problems (from the textbook):
- Section 9.1: Problems 1, 2
- Section 9.2: Problems 1, 2, 4
- Section 9.3: Problems 2, 3, 7, 8, 9
- Section 9.4: Problems 1, 2, 3, 4, 8
Problem Sets
Useful links:
The actual problem sets
The rest of the due deadlines are
tentative:
- Problem Set 10 -- due Thursday, April 4
Tutorials
If there is a discrepancy between Quercus and ACORN, your correct tutorial is the one on Quercus. I have created "groups" on Quercus for each tutorial. To join a tutorial or to switch tutorials, simply change groups on Quercus, and ignore whatever ACORN says.
Unlike for lectures, you may only attend the tutorial section you are enrolled in.
List of TAs and Tutorial Rooms.
What is your tutorial? How to change/enrol in a tutorial?
- Access MAT137 on Quercus.
- Click on "People".
- Choose the "Groups" tab
- Now you can see what your tutorial is. You may join a tutorial if you do not have one, and you may switch tutorials.
- Ignore whatever ACORN says.
For more details, see here.
Need help? Email Alfonso.
Tutorial Worksheets
- Tutorial 1 (September 17-18) -- Logic
- Tutorial 2 (September 24-25) -- Proofs
- Tutorial 3 (October 1-2) -- The definition of limit
- No tutorial on Thanksgiving
- Tutorial 4 (October 15-16) -- Limit computations
- Tutorial 5 (October 22-23) -- Linear approximations and Newton's method
- Tutorial 6 (October 29-30) -- Computation of derivatives
- Tutorial 7 (November 12-13) -- Related rates
- Tutorial 8 (November 19-20) -- Inverse trigonometric functions
- Tutorial 21 (March 25-26) -- coming soon
- Tutorial 22 (April 1-2) -- coming soon
Tests
We will post detailed information on each test about three weeks before it happens.
If you have a conflict, contact the coordinator Alfonso Gracia-Saz at least one week before the test.
- Test 1 took place on Friday, 19 October 2018.
Test-instructions page, as it looked before the test.
Test-results page, including solutions and comments.
- Test 2 will took place on Friday, 30 November 2018.
Test-instructions page, as it looked before the test.
Test-results page, including solutions and comments.
- Test 3 will take place on Thursday, 7 February 2019, 6:10-8pm.
Test-instructions page, as it looked before the test.
Test-results page, including solutions and comments.
- Test 4 will take place on Friday 22 March 2019, 4:10-6pm (confirmed).
Regrade requests for tests
First read the sample solutions carefully and any comments we have posted. If, after that, you think we have made an error in your grading:
- Email admin137 (at) math (dot) toronto (dot) edu ONLY
- Email from your utoronto email account.
- Use the subject line "MAT137 - Test N - Regrade request".
- In the body of the email, include your full name, your student number, your utoronto email address, a link to your graded paper, and a clear explanation of the error your think we made. We will not reply to any request that does not include this information.
Do not include any attachments or screenshots.
- Keep in mind that we may re-read the whole paper, and your grade may go up or down.
Deadlines:
- Test 1:
- Submit your request by November 5.
- You will get a reply by November 15.
- Test 2:
- Submit your request by December 15.
- You will get a reply by December 22.
- Test 3:
- Submit your request by February 20.
- You will get a reply by February 27.