MAT 137: Calculus!

University of Toronto 2017-2018

Below is the Test 1 page as it looked before the test. Click here to see solutions and comments after grading.


Time and location

The test will take place on Friday, October 20th, 4-6pm. The test actually starts at 4:10pm, but please show up at 4pm to have time to get settled.

If you were pre-approved to write at an alternate time, you should have already received an email with your location. For everybody else, your location depends on your last name:

  • Last name beginning with A to CA -- go to RW 117.
  • Last name beginning with CE to CU -- go to EX 320.
  • Last name beginning with D to F -- go to MS 2170.
  • Last name beginning with G to I -- go to EX 300.
  • Last name beginning with J to N -- go to EX 100.
  • Last name beginning with O to Q -- go to RW 110.
  • Last name beginning with R to S -- go to EX 310.
  • Last name beginning with T -- go to WI 1016.
  • Last name beginning with U to Z -- go to EX 200.

What is included

The test will include the introduction to logic (Playlist 1) and Limits and Continuity (Playlist 2 or Chapter 2 from the book).

You need to understand concepts and to be able to do computations. Keep in mind that when it comes to simple computations, there is no such thing as partial marks. You either can do them or you cannot.

You need to know the theory. Specifically, you need to be able to:

  • Give precise, exact definitions of concepts.
  • State theorems precisely. This includes the limit laws, the IVT, the EVT, and the Pinching Theorem/Squeeze Theorem.
  • Do simple proofs. We may ask you to reproduce a proof that we have shown you, or we may ask you to prove a new statement that you have not seen before. The proofs of the EVT and IVT are beyond the scope of this course.

How to prepare

Please do not ask us for practice tests. You do not need them. The questions we will ask you are no more difficult than the questions we explore in lectures, tutorials, problem sets, and the book. You already have enough material to learn the concepts and practice.

What you need to bring

On the day of the test, you need to bring your valid identification (preferably your TCard). Also, you will need to fill in the following information:

  • your first name;
  • your last name;
  • your student number;
  • your UTOR ID;
  • your @mail.utoronto.ca email address.
We will return papers electronically once they are graded using crowdmark. If this information is not correct, your paper may end up getting lost.

Calculators are neither allowed, nor needed in this test.

Rules during the test

  • Using any kind of electronics (including cell phones, iPods, calculators, or anything else) is forbidden. Attempting to use them, or even having them on your person, even if turned off, constitutes cheating. Leave any valuables you have underneath your chair, or in the front of the room, or even better, at home. Turn your cellphones off completely.
  • During the test, an invigilator will check your TCard and will scan your paper or will ask you to sign on a sign-in list.
  • You may not leave the room during the first hour of the test.
  • If you finish and want to leave early, you need to inform an invigilator first.
  • If you finish during the last 15 minutes, please remain quietly in your seat Continue to remain in your seat without talking to anyone until the invigilators have finished collecting all the papers and have told you that it is okay to leave. Talking to other students while invigilators are collecting the papers constitutes cheating.
  • This is not high-school. The rules for academic dishonesty are strict. Every year a handful of students are reported to OSAI and receive various penalties, which may range from an F in the course to expulsion from the University. We hate having to report such incidents. Please do not make us do it.

What happens if you have a conflict or cannot write the test?

For any questions, after reading the information below, contact the coordinator Alfonso Gracia-Saz.
  • What to do in case of academic conflict?
    An academic conflict is a regularly scheduled lecture, tutorial, or lab for a different course at the University of Toronto at the same time. In that situation, you should attend it instead of the test, and we will provide an alternative time or a make-up test.
    The deadline to request this accommodation has passed.

  • What to do in case of illness or injury?
    In case of illness or injury, please see a health care provider right away. You will need to have them fill the University of Toronto Verification of Illness or Injury form. Contact Alfonso as soon as you can (within 24 hours if at all possible, and certainly no later than a week before the test) and bring him the form as soon as it is available. You can email him the form, or give it to him in person in class, or during office hours. If it is going to take you longer to produce the form, email him earlier, and bring the form later when possible.

  • What to do if you need accommodation due to a disability?
    Please contact Accessibility Services, not us.

  • What happens if you miss the test without a justification or if you do not contact us on time to inform us?
    In that case, you will get zero on this test.

Need help?

Between all intructors and TAs in the course, there are 27 weekly hours of office hours.

Do not leave things for the last minute. If you leave your questions for the last couple of days, chances are we will have very limited time to talk to you. In addition, on the day of the test there will be no help of any kind: no office hours, no Math Aid Centre, no answers to emails.

Good luck! We will be thrilled if you all do very well.