Department of Mathematics University of Toronto MAT137Y, 2010-2011 Winter Session Please be reminded of the following rules.
Problem Set #5 Deadline: Thursday, November 18, 6:10 p.m. Assignment Posted/Revised: November 4, 2010
Required Information. The fr
Department of Mathematics University of Toronto MAT137Y, 2010-2011 Winter Session Please be reminded of the following rules.
Problem Set #4 Deadline: Thursday, November 4, 6:10 p.m. Assignment Posted/Revised: October 22, 2010
Required Information. The fro
MAT 137Y, 20092010 Winter Session, Solutions to Supplementary Problem Set #3 1. (SHE 12.5)
1 1 4. Given ak = (-1)k k ln k , we know that |ak | = k ln k diverges by the integral test (see 11.2 #21), but ak converges by the alternating series test, so the s
Department of Mathematics, University of Toronto MAT 137Y, 2009-10 Winter Session Suggested Problems. Do not hand in.
Problem Set Supplement #2 Not to be handed in.
Assignment Posted/Revised: March 1, 2010, 13:00
1. SHE 8.2: All odd numbered exercises 1-3
MAT 137Y 2009-10 Winter Session, Solutions to selected problems in Problem Set Supplement 2 5 e2x 1 dx = 2x )2 1 + (e 2 (ii) The integral involves power of trig functions, so (i) Let u = e2x dx, then du = 2e2x dx. Then
/4 0
du 1 = arctan e2x +C. 2 1+u 2
t
University of Toronto, MAT 137Y, 20092010 Problem Set Supplement #3 Not to be handed in. This assignment will not count towards your course mark. The following exercises cover new material which you are responsible for the nal exam. 1. SHE Section 12.5: 4
MAT 137Y, Limit Proofs and Some Examples We will do our first example at great length with much commentary and explanation. You should not regard it as a model for your proofs but as a guide to thinking through your solution. Example 1. Find a number > 0
Department of Mathematics University of Toronto MAT137Y, 2010-2011 Winter Session
Problem Set #1 Deadline: Thursday September 30, 6:10 p.m. Assignment Posted/Revised: September 16, 2010
Read the following instructions carefully! In contains guidelines on
MAT 137Y: Calculus!
Problem Set E
This problem set is contains some questions about the material covered in the last
two weeks of classes, which did not make it to any other problem set or tutorial. You
do not need to turn in any of these problems. and we
MAT 137Y: Calculus!
Problem Set 10.
Due in tutorial on March 31-April 1
Instructions:
You need to turn in this assignment in the tutorial in which you are enrolled.
Before you attempt this problem set, work through the practice problems for
sections 12.
MAT137Y1 - Calculus!
Test 3 Solutions
February 5th, 2014
1. Calculate
x3 ex dx
We do integration by parts three times. Each time we take dv = ex and u as
the rest.
x3 ex dx = x3 ex
3x2 ex dx
= x3 ex 3x2 ex +
6xex dx
= x3 ex 3x2 ex + 6xex
6ex dx
= x3 ex
Department of Mathematics University of Toronto MAT137Y, 2010-2011 Winter Session Please be reminded of the following rules.
Problem Set #12 Deadline: Thursday, March 24, 6:10 p.m. Assignment Posted/Revised: March 10, 2011
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Department of Mathematics University of Toronto MAT137Y, 2010-2011 Winter Session Please be reminded of the following rules.
Problem Set #11 Deadline: Thursday, March 10, 6:10 p.m. Assignment Posted/Revised: February 24, 2011
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Department of Mathematics University of Toronto MAT137Y, 2010-2011 Winter Session Please be reminded of the following rules.
Problem Set #2 Deadline: Thursday, October 7, 6:10 p.m. Assignment Posted/Revised: October 4, 2010
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Department of Mathematics University of Toronto MAT137Y, 2010-2011 Winter Session Please be reminded of the following rules.
Problem Set #2 Deadline: Thursday, October 28, 6:10 p.m. Assignment Posted/Revised: October 21, 2010
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Department of Mathematics University of Toronto MAT137Y, 2010-2011 Winter Session Please be reminded of the following rules.
Problem Set #6 Deadline: Thursday, November 25, 6:10 p.m. Assignment Posted/Revised: November 12, 2010
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Department of Mathematics University of Toronto MAT137Y, 2010-2011 Winter Session Please be reminded of the following rules.
Problem Set #7 Deadline: Thursday, January 27, 6:10 p.m. Assignment Posted/Revised: December 6, 2010
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Department of Mathematics University of Toronto MAT137Y, 2010-2011 Winter Session Please be reminded of the following rules.
Problem Set #8 Deadline: Thursday, February 3, 6:10 p.m. Assignment Posted/Revised: January 19, 2011
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Department of Mathematics University of Toronto MAT137Y, 2010-2011 Winter Session Please be reminded of the following rules.
Problem Set #9 Deadline: Thursday, February 10, 6:10 p.m. Assignment Posted/Revised: February 4, 2011
Required Information. The fr