Difference between revisions of "General resources"
From UBCMATH WIKI
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====Desmos demos==== | ====Desmos demos==== | ||
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| − | ====Videos | + | {| |
| + | !style="width: 40px;"|Chapter | ||
| + | !style="width: 230px;"|Description | ||
| + | !style="width: 40px;"|Link | ||
| + | |- | ||
| + | |style="text-align: center;"|3 | ||
| + | |Graphs of the solution to the equations for a damped oscillator. | ||
| + | |style="text-align: center;"|[https://www.desmos.com/calculator/psy5r8hpln demo]. | ||
| + | |- | ||
| + | |style="text-align: center;"|3 | ||
| + | |A series of graphs of the solution to a second order ODE as the eigenvalues go from real to repeated to complex. | ||
| + | |style="text-align: center;"|[https://www.desmos.com/calculator/aqh17ebj1k demo] | ||
| + | |- | ||
| + | |style="text-align: center;"|3 | ||
| + | |Amplitude versus forcing frequency for a forced oscillator, showing resonance. | ||
| + | |style="text-align: center;"|[https://www.desmos.com/calculator/rbk5vped4d demo] | ||
| + | |- | ||
| + | |style="text-align: center;"|10 | ||
| + | |Fourier series approximation to a step function | ||
| + | |style="text-align: center;"|[https://www.desmos.com/calculator/imkvlerrnj demo] | ||
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| + | |} | ||
| + | ====Videos from various online sources==== | ||
*[http://www.youtube.com/watch?v=ib1vmRDs8Vw A numerical simulation of a large system of masses and springs] | *[http://www.youtube.com/watch?v=ib1vmRDs8Vw A numerical simulation of a large system of masses and springs] | ||
*[http://www.youtube.com/watch?v=VCERs0v1OoI A slow motion video of a tuning fork] - jump to 1:08 if you don't want to listen to the dorky British guys. | *[http://www.youtube.com/watch?v=VCERs0v1OoI A slow motion video of a tuning fork] - jump to 1:08 if you don't want to listen to the dorky British guys. | ||
Revision as of 16:49, 4 April 2014
Contents |
Supplemental notes
- Inverting $H(s)=\frac{1}{s(s^2+2s+10)}$ - pdf, video (part 1 - partial fraction decomposition), video (part 2 - inverting the parts).
Sources where you can find extra problems to work on
- Suggested problems, chapter by chapter from Boyce and DiPrima.
- MATH 256 Chem. and Bio. Eng focus (winter 2013) - including solutions to some old assignments problems, old midterms etc. Note that the content this year will be subtly different so some questions might not be relevant this year and some topics covered this year might not appear. Ask me if you want to confirm anything you aren't sure about.
- MATH 256 EE focus (Fall 2013) - same comment as above.
- MATH 256 (Winter 2004) - same comment as above.
Alternate textbooks
- Notes on Diffy Qs: Differential Equations for Engineers - a free online text that covers much (possibly all) of the material in this course.
- Paul's Online Math Notes - another free online text that covers much (possibly all) of the material in this course.
Demonstrations
Desmos demos
| Chapter | Description | Link |
|---|---|---|
| 3 | Graphs of the solution to the equations for a damped oscillator. | demo. |
| 3 | A series of graphs of the solution to a second order ODE as the eigenvalues go from real to repeated to complex. | demo |
| 3 | Amplitude versus forcing frequency for a forced oscillator, showing resonance. | demo |
| 10 | Fourier series approximation to a step function | demo |
Videos from various online sources
- A numerical simulation of a large system of masses and springs
- A slow motion video of a tuning fork - jump to 1:08 if you don't want to listen to the dorky British guys.
- One tuning fork driving another at resonance.
- Resonance for guitar players
- Can a biologist fix a radio? - Or, what I learned while studying apoptosis. This paper is a great read, either for biologists with a sense of humour or engineers trying to figure out how biologists operate.
