University of Toronto DEPARTMENT OF MATHEMATICS
MAT 237y1y Assignment #2
Due date: October 15, 6:10p.m
Last Name:_ First Name_ _
Student #_Lecture Section _
(a) TOTAL MARKS: 50 (b) WRITE SOLUTIONS ON THE SPACE PROVIDED, USE THE REVERSE SIDE OF A PAGE TO C
MAT 237, Quiz 9 Mar/(m 9W TUT0201
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PART A: (2 marks)\Present a formula for fasF  nds in terms of a double integral. This is also known
as divergence theorem for R2.
1 5E aex
MAT 237

Quiz 9
Week of April 1
Quiz 7 will cover sections 5.2, 5.3, 5.4 written in the last 15 to 20 min of your tutorial. As before there
will be three parts in the quiz: denition, application, and proof.
Part A: Denitions and statements of theorems
5.
MAT 237

Quiz 7
Week of March 4
Quiz 7 will cover sections 4.2, 4.3, 4.4 as well as the end of section 4.1/ It will be written in the last 15
to 20 min of your tutorial. As before there will be three parts in the quiz: denition, application, and proof.
P
MAT 237, Quiz 1

Name
Tutorial
Quiz 1 will cover sections 1.1 and 1.2 and will be written in the last 15 to 20 min of your tutorial in the
week of Sep 24. There will be three parts in the quiz: part A asks you to provide a denition or statement
of a th
MAT 237

Quiz 2
Week of Oct 15
Quiz 2 will cover sections 1.3, 1.4 and 1.5 up to page 26. It will be written in the last 15 to 20 min of
your tutorial. As before there will be three parts in the quiz: denition, application, and proof.
Part A: Denitions a
MAT 237
Quiz 5
Week of Jan 21
Quiz 5 will cover sections 2.9, 2.10, 3.1. It will be written in the last 15 to 20 min of your tutorial. As
before there will be three parts in the quiz: denition, application, and proof.
Part A: Denitions and statements of t
MAT 237
Quiz 3
Week of Nov. 5
Quiz 3 will cover sections 1.6 (pages 30 and 31 only), 1.7 (excluding 1.30), and 2.1 (pages 43 to the top
of 47, then page 51). It will be written in the last 15 to 20 min of your tutorial. As before there will be three
parts
MAT237: Final exam, scope and preparation ideas
Final exam is accumulative, but substantially heavier on the latest material (4.2  5.8). The material
tested from the past appear in the context of the new material, so it is possible to think that the
ques
1. Chain rule
a) (5 marks) Consider the surface described by F (x, y, z ) = 0, and use chain
rule to prove that at any point (a1 , a2 , a3 ) a non zero F (a1 , a2 , a3 ) is
perpendicular to any tangent line to the surface that passes through any
point (a1
MAT237: Midterm test, scope and preparation ideas
Midterm test will take place Wed Dec. 19, 25 pm. at ES ( last names starting with AS please go
to ES1050, and last names starting with TZ please go to ES149). There will be no aids allowed, and
please b
MAT 237, PS 8
Due, Monday March 4, 2:00 pm.
in SS Math Aid Center

FAMILY NAME: FIRST NAME:
STUDENT ID:
Please note:
1. Your problem set must be submitted on this form. Please provide your nal, polished solutions in the
spaces provided. You may use bac
University of Toronto
MAT237Y1Y TERM TEST 3
Thursday, Feb.9, 2011
Duration: 90 minutes
No aids allowed
Instructions: There are 12 pages including the cover page and the extra sheet at the
back. Please answer all questions in the spaces provided (if you us
MAT237: Term test 2, scope and preparation ideas
Test 2 will take place Thursday Feb. 14, 8:109:50 am. at Ex 200 (same place as test 1,) with an
early seating of 7:209:00 at the same location. Note that the test is in the morning not in the evening.
Ple
MAT237: Term test 1, scope and preparation ideas
Test 1 will take place Thursday Nov. 15, 8:209:50 am. at Ex 200, with an early seating of 7:309:00
in the same location. Note that the test is in the morning not in the evening. Please make reservation
fo
list of proofs
for test 1
Here is a list of important proofs which are implicitly or explicitly presented in the textbook. Please read
and make sure all of these blocks of proofs are understood. You will be asked to reproduce some of these
proofs in test
MAT 237
Quiz 6
Week of Feb. 4
Quiz 6 will cover sections 3.2, 3.3, 3.4, 4.1 (up to page 152.) It will be written in the last 15 to 20 min
of your tutorial. As before there will be three parts in the quiz: denition, application, and proof.
Part A: Denition