Difference between revisions of "General resources"
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===Demonstrations=== | ===Demonstrations=== | ||
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| + | ====Desmos demos==== | ||
*[https://www.desmos.com/calculator/aqh17ebj1k Distinct, repeated and complex roots] - A Desmos demonstration of what happens as the roots of the characteristic equation go from real to complex. | *[https://www.desmos.com/calculator/aqh17ebj1k Distinct, repeated and complex roots] - A Desmos demonstration of what happens as the roots of the characteristic equation go from real to complex. | ||
*[https://www.desmos.com/calculator/psy5r8hpln Damped oscillations]. | *[https://www.desmos.com/calculator/psy5r8hpln Damped oscillations]. | ||
| + | *[https://www.desmos.com/calculator/rbk5vped4d Forced mass-spring system - Amplitude versus frequency] | ||
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| + | ====Videos I found online==== | ||
*[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. | ||
*[http://video.mit.edu/watch/tuning-forks-resonance-a-beat-frequency-11447/ One tuning fork driving another at resonance]. | *[http://video.mit.edu/watch/tuning-forks-resonance-a-beat-frequency-11447/ One tuning fork driving another at resonance]. | ||
*[http://www.youtube.com/watch?v=KpTGQ7db_ic Resonance for guitar players] | *[http://www.youtube.com/watch?v=KpTGQ7db_ic Resonance for guitar players] | ||
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===Resources of potential interest but not directly related to the course=== | ===Resources of potential interest but not directly related to the course=== | ||
*[http://www.cell.com/cancer-cell/retrieve/pii/S1535610802001332 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. | *[http://www.cell.com/cancer-cell/retrieve/pii/S1535610802001332 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. | ||
Revision as of 15:11, 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
- Distinct, repeated and complex roots - A Desmos demonstration of what happens as the roots of the characteristic equation go from real to complex.
- Damped oscillations.
- Forced mass-spring system - Amplitude versus frequency
Videos I found online
- 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.
