| Title (with PDF links) |
What is it? | Handed out or posted |
|---|---|---|
| The final exam | The final exam, in a somewhat more compact
form. A misprint in problem 7 where (Pi/2,3) was written instead of (2,3) has been corrected. The misprint was not noticed by the exam writer or by any of the students who took the exam! Formula sheets were handed out as suggested in the review material. Here is a discussion of the grades and the grading and here is how course grades were determined. | 12/23/2004 |
| Review material for the final exam | 12/6/2004 | |
| Two-dimensional PDE problems | Homework problems. I plan to spend the last class in
421:01 answering questions about the last
homework assignment and these problems. Students from 421:03 who are
free and want to participate are invited: Monday, December 13,
11:30-12:50, in SEC 216.
The version given out in 421:01 had mistakes in the
boundary conditions of problem 1. I'm sorry. It's fixed here.The version given out in both 421:01 and 421:03 had further mistakes in other boundary conditions. Thanks to Mr. Dow for calling attention to this. The errors may have occurred because the management cannot tell the difference between 1 and Pi. I think the errors have now been fixed. The management regrets the errors. A picture of the management is shown here. | 12/12/2004 |
| A two-dimensional heat flow example | Some pictures of a steady-state heat distribution on an idealized
square plate in the plane. The version given out in 421:01 had mistakes in the boundary conditions. I'm sorry. It's fixed here. | 12/6/2004 |
| Wave equation examples | Some Maple pictures of examples for the evolution of initial data using the wave equation and simple boundary conditions. | 11/30/2004 |
| Homework+extra credit problem | The homework assignment due on Tuesday, November 30, together with an optional problem which, if done correctly, will earn an extra 5 points on the final exam. | 11/23/2004 |
| Answers to Exam 2 | Answers to the first exam. Here is a discussion of the grades and the grading. | 11/23/2004 |
| Exam 2 | Exam 2, in a somewhat more compact form. Changes There are several changes in what's shown here from the exam as actually given. On question 2, there's only one part d) instead of two (!). Question 7 was not well written on the exam. I can't change that but I've added alternative wording that might have clarified the question. | 11/23/2004 |
| The formula sheet used on the second exam | The formula sheet actually given out with the exam. Its content was identical to the draft formula sheet. No suggestions for additions or changes were made. | 11/23/2004 |
| One heat flow example | An approximation to a boundary value problem for the heat equation is graphed for several small values of time. Some relevant Maple commands are also given. Please see also this page where there are more pictures (this was done after the lecture of 11/23). | 11/15/2004 |
| Review material for exam 2 | 11/11/2004 | |
| Fourier series examples | Here are some ways to compute partial sums of Fourier series using Maple, and some pictures of functions and some of these partial sums. | 11/3/2004 |
| Answers to Exam 1 | Answers to the first exam. Here is a discussion of the grades and
the grading. It includes some remarks all students
should read. A dreadful misprint in the answers has been corrected, thanks to Mr. Salvino. | 10/26/2004 |
| Exam 1 | Exam 1, in a somewhat more compact form. | 10/13/2004 |
| The formula sheet used on the exam | The formula sheet, including some RREF's, as was handed out on the exam. | 10/13/2004 |
| Review material for exam 1 | 9/30/2004 | |
| Draft formula sheet for the first exam | This is a preliminary version of a formula sheet for the first exam, to be given on Tuesday, October 12. Students should let me know, preferably by e-mail, about corrections or suggested additions to this formula sheet. | 9/30/2004 |
| The Entrance "exam" | The purpose of this assignment is to give insight to students very early in the course about some of the methods to be used. Familiarity with all of the material tested here is necessary for success in this course. Also students can see how the instructor grades. Solutions are due on Tuesday, September 7. | 8/31/2004 |
| Information sheet | A sheet to be passed out on the first day of class. | 8/31/2004 |
| Spring 2004 | A spring 2004 version of this course with a similar syllabus and the same instructor, but with a different text. The following items there may be useful for students: review problems, most with solutions; exams, most with solutions; and a detailed course diary with worked-out examples and useful links. | 5/14/2004 |