Our final exam is scheduled for Thus, Dec. 6 at 8:30am, in IBLC261. Please try to arrive a few minutes earlier, so we can start on-time. You must bring your student ID or some other official form of identification that has a picture of you on it, because I am required to verify that you are indeed yourself. Cell phones must be turned off and put away with your belongings (your cell should not be on your person, so that there is no possible way to receive/transmit information during the exam). All work should be done on the exam notebooks that will be provided to you.

The exam will be 2.5h long, and will test all material discussed in this class up to (not including) Bessel functions. This includes the material already tested in the midterm, which may (and will) be tested again in the final exam. The weight will probably be about 1/4-1/3 on those older topics (ODEs and Fourier series), and about 2/3-3/4 on PDEs, including D'Alembert's solution. The PDE problems may be formulated in terms of cylindrical or spherical coordinates. If this is the case, I will provide the expression of the Laplacean and I will also make sure that after the separation of variables, you arrive at simple ODEs (either constant coefficients or Cauchy-Euler) which you have to know how to solve. Older exams contain examples of such a problem, and there are more examples in the textbook. I expect you to know everything else, such as the expression of Laplacean in cartesian coordinates, what are the various PDEs we studied (heat, wave, Poisson/Laplace), how to go about solving them, how to use orthogonality to find coefficients, etc.

No cheat sheet is allowed. I may decide to give you some formulae with the problem set, but there is no guarantee that I will do so and in any event, I will not tell you beforehand what these formulas may be. In preparing for the final, you should try to understand the underlying logic of the various solutions discussed in class and in the problem sets. The final exam problems will be quite similar to those, and in fact one problem will be identical to one homework problem. Study carefully the solutions I posted for the various homeworks from both this and previous years, and the various posted notes, and make sure your solutions agree with these. If they do not, come to office hours so we can settle the differences before the exam. There are plenty more examples in the textbook, if you need more practice.

Here and here are the final exams from the last 2 years, and here and here are the solutions. Scanned olutions for the worksheets are here and here. There is a high probability of typos in these, so if anything looks strange please email me asap, so I can verify them.

Talking to or looking at a neighbor's solution is not allowed, under any circumstances. All questions should be addressed to the invigilators. Attempts at academic misconduct will be severely penalized.

Here are the midterm solutions. I'll post more info about the grades here once I have it.

Office hours for the midterm are on: Monday (22nd) from 3:30(ish)-5pm; the usual hours on Tuesday (23rd) morning from 10:30-11:30 and extended hours in the evening 3:30(ish)-5; and additional hours Wed. (24th) in the evening, from 3:30(ish)-5. If you cannot come to any of these and would like to see me before the midterm, please email me asap so we can find some other suitable time.

The midterm will take place during our regular lecture on Thus, Oct 25. It will be 50 mins long and it will cover all material up to (but excluding) the D'Alambert solution for the 1D wave equation. Please let me know asap if you have any questions about what will be tested.

Note that in previous years the D'Alambert solution was included in the midterm material, which is why older midterms posted below have such questions. Ignore them for the time being -- I will test that material in the final exam.

There will be no make-up session for the midterm. If you do not write this midterm, your midterm grade will be zero. The only exception is for serious emergencies, for which I need to see corroborating evidence (doctor's note, etc).

No cheat sheet is allowed. I may decide to give you some formulas with the problem set, but there is no guarantee that I will do so and in any event, I will not tell you beforehand what these formulas may be. In preparing for the midterm, you should try to understand the underlying logic of the various solutions discussed in class and in the problem sets. The midterm problems should be quite similar to those. Study carefully the solutions I posted for the homeworks and the relevant worksheets, and make sure your solutions agree with these. If they do not, come to office hours so we can settle the differences before the exam. There are plenty more examples in the problem sets from the previous years and in the textbook, if you need more practice.

During the exam, cell phones must be turned off and put away with your belongings (your cell should not be on your person or within arm's length, so that there is no possible way to receive/transmit information during the exam). All work should be done on the exam notebooks that will be provided to you. You should write in pen, not pencil. If you prefer to write in pencil, then use a pen to write the final answers for each problem, so that there is no possible ground for discussion as to what was the final answer . If you make a mistake, just cross out (with a big X) the offending paragraph. If you change your mind and decide that the crossed-out work was actually correct, make a note near it "this is correct" and continue with the solution. Don't waste time erasing and trying to make things look nice -- of course, I prefer to see nicely written exams, but the essential aspect is that they are correct, the "messiness" will not affect the grade (provided that the solution can still be deciphered).

Here and here ais the midterms from '16 and '17. The solutions are here and here.

Talking to or looking at a neighbor's solution is not allowed, under any circumstances. All questions should be addressed to the invigilators. Attempts at academic misconduct will be severelypenalized.