Mathematics 3F03 Advanced Dierential Equations, Fall 2013
ASSIGNMENT 3
Version of October 17, 2013 @ 16:18
This assignment is due Friday, October 25, 2013, in the appropriately labelled locker on
the bottom oor of Hamilton Hall next to HH-105, before 1:30
Mathematics 3F03 Advanced Dierential Equations, Fall 2013
INSTRUCTORS SOLUTIONS TO ASSIGNMENT 1
September 22, 2013 @ 23:11
1
Stability on the Phase Line
For four functions f (x), we are asked to nd all equilibria of x = f (x), determine their
stability, a
Mathematics 3F03 Advanced Dierential Equations, Fall 2012
INSTRUCTORS SOLUTIONS TO ASSIGNMENT 2
October 17, 2012 @ 23:04
1
Pages 5758, Exercise 2(i), (iii) and (v).
For each of the following systems of the form X = AX,
(a) Find the eigenvalues and eigenve
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Mathematics 3F03 Advanced Differential Equations Prof. David Earn
TERM TEST #2 22 November 2011
Duration: 90 minutes
Notes:
No calculators, notes, scrap paper, or aids of any kind are permitted.
You are welcome to use multiple colours in sketches, but p
PRINTED BY: David Earn <[email protected]>. Printing is for personal, private use only. No part of this book may be reproduced or transmitted without publisher's
prior permission. Violators will be prosecuted.
PRINTED BY: David Earn <[email protected]
Course information
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Mathematics 3F03
Advanced Di
Because I had to repeat some of my comments for question 4 several times, I wrote this comment file.
In each section of Q4, if there was a problem, I either wrote a comment on your paper, or, wrote only
C1, C2, etc, and you can look up the appropriate com
Comments on Test 2
Chai Molina
November 30, 2012
Question 2
Mark breakdown for parts (a)-(e), respectively: 3, 2, 3, 5, 2.
1. Defining symbols: In part (a), some students used F to denote the given
vector field, F (t, x, y) = (y x5 , y x5 )T . In part (d)
Mathematics 3F03 Advanced Differential Equations
ASSIGNMENT 1
This assignment is due Thursday, September 22, 2011, in the appropriately labelled
locker on the bottom floor of Hamilton Hall next to HH-105, before the building closes.
Late assignments will
PRINTED BY: David Earn <[email protected]>. Printing is for personal, private use only. No part of this book may be reproduced or transmitted without publisher's
prior permission. Violators will be prosecuted.
PRINTED BY: David Earn <[email protected]
Math 3F03, Fall 2014
Assignment 2
This assigment is due on Wednesday, October 15, in class at the beginning of lecture. Late assigments will
not be graded.
You must show your work and justify your assertions carefully in order to receive full credit.
Page
Mathematics 3F03 Advanced Dierential Equations, Fall 2013
ASSIGNMENT 2
This assignment is due Friday, October 4, 2013, in the appropriately labelled locker on
the bottom oor of Hamilton Hall next to HH-105, before 1:30pm.
Late assignments will NOT be grad
Mathematics 3F03 Advanced Dierential Equations, Fall 2013
ASSIGNMENT 1
This assignment is due Friday, September 20, 2013, in the appropriately labelled locker
on the bottom oor of Hamilton Hall next to HH-105, before 1:30pm.
Late assignments will NOT be g
Mathematics 3F03 Advanced Dierential Equations
ASSIGNMENT 4
This assignment is due Friday 15 November 2013, in the appropriately labelled locker
on the bottom oor of Hamilton Hall next to HH-105, before 1:30pm.
Late assignments will NOT be graded. See the
Mathematics 3F03 Advanced Dierential Equations Prof. David Earn
SOLUTIONS TO TERM TEST #2 26 November 2012
Duration: 60 minutes
Notes:
No calculators, notes, scrap paper, or aids of any kind are permitted.
This test consists of two pages and includes 3
Mathematics 3F03 Advanced Dierential Equations
ASSIGNMENT 5
This assignment is due Friday 22 November 2013, in the appropriately labelled locker
on the bottom oor of Hamilton Hall next to HH-105, before 1:30pm.
Late assignments will NOT be graded. See the
Mathematics 3F03 Advanced Dierential Equations Prof. David Earn
TERM TEST #1, PART 1 SOLUTIONS 30 October 2012
Duration: 50 minutes
Notes:
No calculators, notes, scrap paper, or aids of any kind are permitted.
This part of the test consists of two pages
Math 3F03, Fall 2014
Assignment 1
This assigment is due on Monday, September 29, in class at the beginning of lecture. Late assigments will
not be graded.
You must show your work and justify your assertions carefully in order to receive full credit.
Page
Math 3F03, Fall 2014 Midterm Exam 1
Name:
Student Number:
Instructions
No calculators, notes, or books are permitted during this exam.
This test consists of ve questions and 25 points.
All answers and work must be written in your exam booklet. Make sur
tion damps out and the pendulum comes to rest at its stable equilibrium.
This example shows how far we can go with pictureswithout invoking any
difficult formulas, we were able to extract all the important features of the pendu
lums dynamics. It would be
Math 3F03, Fall 2014 Midterm Exam 2
Name:
Student Number:
Instructions
No calculators, notes, or books are permitted during this exam.
This test consists of ve questions and 25 points.
All answers and work must be written in your exam booklet. Make sur
Mathematics 3F03 Advanced Differential Equations
ASSIGNMENT 3
This assignment is due Friday, October 21, 2011, in the appropriately labelled locker on
the bottom floor of Hamilton Hall next to HH-105, before 2:20pm.
Late assignments will NOT be graded. Se
Mathematics 3F03 Advanced Differential Equations
ASSIGNMENT 2
This assignment is due Friday, October 7, 2011, in the appropriately labelled locker on
the bottom floor of Hamilton Hall next to HH-105, before 4:30pm.
Late assignments will NOT be graded. See