Timeline for How to motivate and present epsilon-delta proofs to undergraduates?
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| Feb 18, 2012 at 11:01 | comment | added | Ronnie Brown | Following on from this answer, contrast the volume knob and tuning knob on a radio. We expect the volume to change continuously, a small turn gives a small variation in volume, whereas a small variation of the tuning knob gives a large change in output, as we want. Of course the output is a signal, so how do you measure change in a signal? This leads to the ideas of the difference between a sup norm and an integral norm: for example, speedometers tend to use an integral norm, so that the speedo does not react to every little change. | |
| Feb 17, 2012 at 18:33 | history | answered | Kiu | CC BY-SA 3.0 |