University of Toronto

Department of Mathematics

MAT235Y1, Calculus II, 2020


Course Text:

Multivariable Calculus, 8th edition, by James Stewart


Teaching Mode: 

3hrs lectures per week

1hr tutorial per week (starting on Sept 15)


Evaluation:

• 3 Tests (50%): the highest test is worth 20%.

• 10 Quizzes (10%): 5 quizzes per semester, drop two lowest quiz from the Fall semester and one lowest quiz from the Winter semester.

• 10 Assigned Homework (5%): 5 assignments per semester.

• Final Exam (35%): cumulative.


Tentative Test Dates and Time


• Quiz and homework assignment schedule is available on Quercus and will be updated regularly.

• All tests will be set up on Quercus and Crowdmark.


MAT 235Y1 COURSE CONTENT


Chapter 10: Parametric Equations and Polar Coordinates (Sections 5, 1-4)

Chapter 12: Vectors and the Geometry of Space (Section 1-6)

Chapter 13: Vector Functions (Section 1,2 and 4)

Chapter 14: Partial Derivatives (Sections 1-8)

Chapter 15: Multiple Integrals (Sections 1-9)

Chapter 16: Vector Calculus (Sections 1-9)


Teaching Schedule and Suggested Problems

Fall
  Sections
  Suggested exercises
Week 1
  10.5, 10.1, 10.2
  10.5 :Sketching only for the following problems:1, 3, 5, 7, 11, 13, 15, 19, 21, 23, 25, 27, 29
  10.1 :1, 3, 7, 9, 11, 13, 15, 17, 25, 37, 39, 41
  10.2 :1, 5, 7, 11, 13, 15, 19, 25, 29, 31, 33, 41, 43, 61, 65
Week 2
  10.3, 10.4
  10.3 :1, 3, 5, 7, 9, 11, 15, 17, 19, 29, 33, 35, 43, 47, 55, 59, 61, 63
  10.4 :1, 3, 5, 7, 9, 11, 17, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 45, 47
Week 3
  12.1, 12.2
  12.1 :7, 9, 11, 13, 15, 17, 19, 21, 23, 25 − 37 (odd numbers), 39, 41
  12.2 :3, 7, 11, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 3541, 43, 45, 47
Week 4
  12.3, 12.4
  12.3 :5, 9, 11, 15, 19, 23, 25, 27, 29, 31, 39, 43, 45, 49, 51, 53, 61, 63
  12.4 :3, 5, 13, 19, 25, 27, 29, 33, 37, 45, 47, 49
Week 5
  12.5, 12.6
  12.5 :1, 3, 5, 7, 11, 13, 15, 17, 19, 21 − 39 (odd numbers), 45, 47, 53, 57, 61, 65, 67, 71, 73, 77
  12.6 :3, 5, 11 − 19 (odd numbers), 21, 23, 25, 27, 29, 31 − 37 (odd numbers), 45
Week 6
  13.1, 13.2, 13.4
  13.1 :1, 3, 11, 17, 27, 41
  13.2 :1, 5, 9, 11, 17, 21, 27, 37, 39
  13.4 :3, 9, 11, 13, 15, 19, 23, 25
Week 7
  14.1, 14.2
  14.1 :5, 9, 11, 15, 17, 19, 23, 29, 31, 33, 35, 39, 41, 43, 45, 47, 49, 53, 59, 63, 65, 67
  14.2 :5 − 21 (odd numbers), 25, 29, 31, 37, 39, 41
Week 8
  14.3, 14.4
  14.3 :3, 5, 7, 9, 15 − 99 (odd numbers)
  14.4 :1, 3, 5, 11, 17 − 45 (odd numbers)
Week 9
  14.5
  14.5 :3, 7, 11, 13, 15, 21, 25, 27, 29, 35, 39, 41, 43, 45, 47, 49, 51, 53, 55
Week 10
  14.6
  14.6 :5, 7, 9, 11 − 17 (odd numbers), 23 − 37 (odd numbers), 43, 45, 49, 51, 55, 59, 63, 65
Week 11
  14.7
  14.7 :3, 5 − 19 (odd numbers), 31 − 37 (odd numbers), 41 − 55 (odd numbers), 59
Week 12
  14.8
  14.8 :3 − 13 (odd numbers), 15, 17, 19, 21, 23, 29, 31 − 45 (odd numbers), 49


Winter
  Sections
  Suggested exercises
Week 1
  15.1, 15.2
  15.1 :3, 11, 13, 15 − 43 (odd numbers), 47, 49
  15.2 :1 − 31(odd numbers), 35, 37, 39, 45 − 61 (odd numbers), 65
Week 2
  15.3, 15.4
  15.3 :1 − 41 (odd numbers)
  15.4 :3 − 9 (odd numbers, only mass), 27
Week 3
  15.5, 15.6
  15.5 :3, 5, 7, 9, 11, 21
  15.6 :3 − 21 (odd numbers), 27, 31, 33, 35
Week 4
  15.7, 15.8
  15.7 :1 − 11 (odd numbers), 17 − 25 (odd numbers), 29
  15.8 :1 − 13 (odd numbers), 17 − 27 (odd numbers), 35, 41, 43
Week 5
  15.9
  15.9 :1 − 19 (odd numbers), 23, 25, 27
Week 6
  16.1, 16.2
  16.1 :3, 5, 9, 11, 13, 15, 17, 21, 25, 23, 25, 29, 33
  16.2 :1 − 25 (odd numbers), 39, 41, 47, 49
Week 7
  16.2, 16.3
  16.3 :1 − 35 (odd numbers)
Week 8
  16.4, 16.5
  16.4 :1 − 13 (odd numbers), 19, 21, 27, 29, 31
  16.5 :1, 3, 7, 9, 11, 13, 17, 19, 21, 25, 26, 31, 33, 35
Week 9
  16.6, 16.7
  16.6 :1, 3, 5, 13, 19 − 25 (odd numbers), 33, 35, 39 − 49 (odd numbers), 61
  16.7 :5 − 31 (odd numbers), 47
Week 10
  16.7, 16.8
  16.8 :1 − 9, 11(a) − 19 (odd numbers)
Week 11
  16.8, 16.9
  16.9 :1 − 13 (odd numbers), 17, 23, 25, 27, 29, 31
Week 12
  Final exam review
  2018 final exam

Evaluation Guideline

1. All quizzes, term tests and the final exam will be online and open-book unless there is a notice of change on Quercus, and students are allowed to use calculators.

2. Remarking policy : If a test is submitted for remarking, the entire test may be remarked, allowing the possibility that a student may receive a lower mark on any or all questions. Requests for remarking tests must be submitted by email to (TBA, available later) within 1 week of the date when test results are released via crowdmark (for full-answer questions). For example, if test results are released on Oct 23, the deadline for requesting remarking is Oct 30, 11:59pm. More detailed information about remarking will be available on the announcement and by email near the release date.

3. You must bring your UofT Photo ID to the term tests and the final exam.


Missed Test, Quiz and Assignment

1. Students who have a test or class conflict are allowed to write a make-up test later upon the submission of their official class schedule with their name on it. The coordinator will make an announcement of submission deadline for each test in advance on Quercus.

2. Students who cannot be present for a test because of serious illness must contact their instructors as soon as possible, and no later than one week after returning to class. They must also report their absence through online absence declaration on Acorn.

3. Besides illness or a test or class conflict, only very serious reasons, properly documented, can be considered as valid excuses for missing an evaluation and writing a make-up test. For more information on this, consult the Academic Calendar.

4. There will be two or three versions of each quiz on various days and times. There is no make-up quiz. Please read Quiz Information on Quercus for further information.

5. There is no make-up assignment.


Tutorial Procedure

1. Tutorial questions will be posted on Quercus in advance, so that students can have a chance to solve the problems before tutorial.

2. TAs will explain the main points and concepts of tutorial questions on top of the required techniques to solve the problems. Also they will answer any questions related to tutorial problems.


Regulations

1. We do not tolerate any academic misconduct. Please read the student academic integrity at www.artsci.utoronto.ca/osai/students

2. No math questions will be answered by e-mail.