Some notes about the final exam coverage. This year's exam has a greater emphasis on separation of variables than the 2009 final. Thus you should be careful when assuming that just because a topic was not covered on the 2009 exam, then it will not be covered in 2010. For example we covered amongst new material section 4.5 and higher dimensional separation of variables. Feel free to email me. Also if you want to communicate by skype, then email me, and I will give you my skype address.
Your Assignment 10's and other uncollected work is available from the Applied Math Office MC 255.
Examinable Assignment 11 Material Part A and Part B material are examinable (except for the part B material on convolutions). Part C material is not examinable. The new material given in the later parts of Assignment 11 D will not be examined. However questions related to numerics throughout the course/assignments/midterm/quiz are possible.
One Page Notes allowed on Final: One side of an 8.5 x 11 Sheet (front side only) of 12 pt (minimum) size writing allowed. In particular handwriting and equations should be no smaller than that on page 27 of Logan; and have no more than 5 lines per inch. Failure to meet these criteria or to hand in your info sheet will incur a penalty. Note that your exam is on Tuesday December 14 2:00 pm SSC 3014. For this and other exam times see UWO Exam Schedule
Selected Assignment 11 Solutions:
Soln A Soln Bab Soln Bc Soln C
Final Exam 2009 : Exam Solutions
Fourier Transform Lecture Nov 29 - Dec 1, 2010
Assignment 11 is now available is now in final form.
Please note that you are allowed to hand in Assignment 10 in groups of two. Just put the two names on the Assignment (and the bonus if you do it)
Note that in Assignment 10 C(d) the formula that you need for (d) that solves 4.1 128/4 is incorrectly given in the posted Chapter 4 solutions. The correct version is available on pages 7 and 8 of the posted solutions for assignment 8: Pg 7 Pg 8 Material on higher dim separation of diffusion equation from lecture on Nov 24, 2010 Maple worksheet for animation of heat solutions (.mpl file)
Assignment 10 is now in final form (Thursday - a number of changes have been made - please down load the most recent version).
Material for Section 4.5 (Bessel's Equation): Samuli's lectures on Bessel's equation (.pdf file) Maple worksheet for Bessel Lecture (.mpl file) Assignment 9 Solution comments: A B C
Assignment 9 is now available. Class handout on Piano and PDE (.pdf file)
A couple of refs on pianos and math: how a piano works frequencies corresponding to piano keys
Mathematics of Music Web Site (flute etc)
Note Our TA German Kalugin, in addition to his usual office hour, will run the Thursday help hour in SH 1310.
Note Quiz 5 will be on Monday Nov 22.
Assignment 8 Solution comments: Pg 1 Pg 2 Pg 3 Pg 4 Pg 5 Pg 6 Pg 7 Pg 8 Pg 9 Pg 10 Pg 11 Pg 12 Quiz 4 Solution Pg 1 Quiz 4 Solution Pg 2
Note that to decrease the emphasis on Maple in Quiz 4 I took the maximum of your score via the original grading scheme with 4 points for the Maple question, and with respect to the new grading scheme where the Maple question was worth 2.5 points. File on 4.3 Radiation Flux BC (.mpl file) Black-Scholes PDE link for Assignment 8 bonus problem
Summary on separation of the wave equation at beginning of lecture (Oct 3, 2010)
Assignment 8 is now available.
Assignment 7: Note that you will have access to Maple and also to the course maple worksheets. Only one question will be relevant to Maple
Solution to A 3.3/1 Solution to C
Sturm Liouville Theorem Handout (Nov 1, 2010)
2010 Midterm Exam 2010 Midterm Solutions
Tommorrow you will be able to pick up your midterms from German Kalugin TA, at MC 275 A, between 1:30 - 3:30 pm. If this time is not convenient, please email him at: gkalugin [at] uwo.ca to arrange another time.
Unless otherwise announced, in the event of a strike, German will run his office hours as usual - Tuesday 1:30 pm to 2:30 pm. for the next few weeks. By the end of Tuesday Nov 2, I should also have posted some additional materials on the web.
Assignment 7 is now available. Note that there is a quiz on this material on Friday November 5, and you will have access to Maple.
Operators versus not using operators (Oct 28 2010)
Note that I updated the Solution below at 1 pm, Wed Oct 27. I corrected part C, and improved the presentation.
Selected Solutions for Assignment 6 (updated Wed Oct 27 at 1pm)
Additional Notes on Symmetry: Symmetry Notes (Oct 26 2010)
Miscellaneous Solutions for Assignment 4: Gratefully acknowledged are: Michael Adams; Marcus Sturm (Problem B, modeling the string); Xuefei Chen (C: 1.2.2, 1.7.7, 1.8.1-1.8.3) for the following solutions: Pg 1 Pg 2 Pg 3 Pg 4 Pg 5 Pg 6 Pg 7 Pg 8 Pg 9 Lecture on Fourier Series 2 (Oct 25, 2010) Quiz 3 Solutions
Assignment 6 is now available. Lecture on Fourier Series 1 (Oct 22, 2010) Notes at start of lecture on Oct 18/2010 Selected Solutions for Assignment 5
2009 Midterm Exam: Note that material for 1(e) and Q4 (Laplace transform) is not needed for your 2010 midterm.
Mid 09 and Solutions: Pg 1 of Exam Pg 2 of Exam
Soln Pg 1 Pg 2 Pg 3 Pg 4 Pg 5 Pg 6 Pg 7
Half Page of handwritten Notes allowed on Midterm: One half of an 8.5 x 11 Sheet (front side only) of 12 pt (minimum) size writing allowed. In particular handwriting and equations should be no smaller than that on page 27 of Logan; and have no more than 5 lines per inch. Failure to meet these criteria or to hand in your info sheet will incur a penalty. Please show me your sheets in class on Wednesday or Friday, if you're not sure. [If you have already made up your sheet; and its too small; we can reduce the space covered to less than 1/2 page]. Helpful Maple Commands for Assignment 5
Assignment 5 is now available. Midterm: SSC 3014, Friday October 29 2010: 7 - 10pm. Please let me know by email asap if you can't attend for valid reason. Quiz 2 Solutions
Assignment 4 is now available.
printing from MyVLab saving from MyVLab
OH Thursdays: 1:30 - 2:30 in SH 1310 from now (Oct 7 on)
Note that Friday's lectures will all be in SH 1310 from now (Oct 7) on
Some Assignment 3 Solutions: Part A B and C
OH on Tuesdays: 1:30 - 2:30 TA German Kalugin - held in MC 275D, email: gkalugin [at] uwo.ca
Correction to formula in lectures: Note the following correction to the PDE ut = D uxx + c ux, that I gave in the lecture on Wednesday Sept 29, with corresponding source solution (1.24) on pg 29 of the text. The PDE should be changed to ut = D uxx - c ux, ie. to (1.23) on page 29 of the text where it is correctly given.
Reminder: Quiz 2 is on Friday Oct 8.
Assignment 3 is now available. Maple Intro Lecture
The lecture today, Friday October 1st, will be 1:30 - 2:30 in SH 1310. As an additional incentive there will be detailed help on the bonus problem for Assignment 2, and an introduction to Maple (used in the lab quiz).
Office Hour: Every Thursday starting Sept 30 in SH 1310
There have been difficulties in accessing MyVLab for the Bonus problem in Maple. Hence I am postponing the hand-in of the problem until Monday, October 4, next week, in class. MyVLab Maple is now fixed.
Hint for 1.2/Q12*: The difficult thing in this question, is that its not possible to solve the problem completely explicitly. A hint is that it is possible to solve it in terms of the anti-derivative F(x) of f(x), i.e. in terms of F(x) such that F'(x) = f(x).
I was asked a lot about 1.2/Q8* so I am giving the solution below (it is also now not a * problem, since I have given it now in detail: Solution to 1.2/Q8 on pq 16
Note: you will be allowed to work in pairs on the bonus problem on Assignment 2 (and only on this assignment). Hand in printouts and don't email worksheets (handwritten form of the commands is OK for this assignment). Solution to 1.2/Q7 on pq 16 Quiz 1 Solutions Assignment 2 is now available. Reminder Quiz 1 is Friday Sept 24 in class in SH 3307
Miscellaneous Assignment 1 Solutions: Some Assignment 1 Solutions Solutions for Assignment 1 Part C (.pdf file) C (Maple input commands as a .mpl file) Assignment 1 is now available. Some Solutions for Chapters 1, 2, 3, 4, 5 of the Book (Note that Chapter 3, and 4 are misleadingly titled Chaper 1) Chapter 1 Solutions Chapter 2 Solutions Chapter 3 Solutions Chapter 4 Solutions Chapter 5 Solutions Quiz 1 is on Friday Sept 24 in class. Note that Quizzes will alternate each friday, with hand in assignments, unless otherwise announced. If you did not get the survey in class, I would be grateful if you could print, fill out, and return it to me in class:
