
| Homework #1 question 5 |
| Homework #2 question 5 |
| Homework #2 question 6 |
| Homework #2 question 7 |
| Homework #2 question 8 |
| Homework #2 question 9 |
| Homework #3, page 48 question 5 |
| Homework #4 |
| Homework #19 Web page |
| Test (Version) | Questions | Answers |
| #1 (A) | questions | answers |
| #1 (B) | questions | answers |
| #1 (C) | questions | answers |
| #1 (D) | questions | answers |
| #2 (Practice) | questions | answers |
| #2 (A) | questions | answers |
| #2 (B) | questions | answers |
| #2 (C) | questions | answers |
| #2 (D) | questions | answers |
| #2 (E) | questions | answers |
| #3 (A) | questions | answers |
| Final (A) | questions | answers |
| Final (D) | questions | answers |
| Worksheet | Web Page | Comments |
| Fourier series | Fourier series | An example of Fourier series principally to show you how to use Maple. |
| Square waves and uncertainty | Square waves and uncertainty | A more sophisticated example of Fourier series: the Fourier series of a skinny square wave and of a squat square wave.. |
| Assignment #1 | Assignment #1 | First Maple assignment |
| Solution to part (a) | Solution to part (a) | Solution to part (a) of first Maple assignment |
| Solution to part (b) | Solution to part (b) | Solution to part (b) of first Maple assignment |
| Solution to part (c) | Solution to part (c) | Solution to part (c) of first Maple assignment |
| Assignment #2 | Assignment #2 | Second Maple assignment |
| Solution | Solution | Solution to second Maple assignment |
| Wave equation animation | Wave equation animation | An example of using animation and Fourier series to model waves. |
| Animation of heat in a disk | Animation of heat in a disk | Using Fourier-Bessel series and animation to model heat in a disk. |
| Hanging chain | Hanging chain | Using Bessel series and animation to model a hanging chain. Turn your monitor 90 degrees counterclockwise before viewing it. |
| Clamped beam frequencies | Clamped beam frequencies | Using Maple to find the frequencies of vibration of a beam which is rigidly fixed at both ends. |
| Vibrating beam | Vibrating beam | Using Sturm-Liouville theory to model a vibrating beam with simply fastened ends and one with clamped ends |
| Vibrating beam with a free end | Vibrating beam with a free end | Using Sturm-Liouville theory to model a vibrating beam with a clamped end and a free end. |
| Free particle | Free particle | Using eigenvectors and eigenvalues to find the lowest eigenfunction (the vacuum) for quantum mechanics of the free particle. This is really just to test the routines against exactly known results. |
| Potential well | Potential well | Using eigenvectors and eigenvalues to find the lowest eigenfunction (the vacuum) for quantum mechanics of the particle in a potential well, demonstrating quantum tunnelling. |
| Double well | Double well | The vacuum of a double well, showing that the particle is equally likely to be found inside either well, but very unlikely ever to be found in the middle. It "jumps" back and forth. |
| A Fourier series Java applet |
| A Gibbs phenomenon web page |
| A Discrete and Fast Fourier Transform web page |
| Fast Fourier Transform graphics web page |
| Links to Fourier Transform information |
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| George | A- |
| Happy dude | B+ |
| BenSmith82 | E |
| Scarlet | A |
| calvin | A |
| NA | A- |
| STAR | C |
| NA | E |
| 4496 | C- |
| 00184562 | C- |
| floss | C+ |
| donaji | C |
| Bobbers | D- |
| JITNEE | A- |
| NA | E |
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| NA | E |
| ham | B+ |
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| Class average | C |