Math 5: Schedule, topics and worksheets - FALL 2010

Reading is optional sections from Musimathics book (on reserve); however, the lectures should be sufficient if you take good notes.

weekdate(reading) daily topics, links & demosworksheets
1Sept 22 W websitePeriodic sounds, frequency, functions funcs, soln
23 Th X-hrResources page Tool session: using audacity
24 F2.3, 3.1-3.2, 5.4-5.4.2Pure tones, sinusoidal and circular motion. musical frequencies, addition formula (also here) addn, soln
27 M3.3, 6.7Combining tones, beats, perfect intervals zerocross
229 W2.8, 6.4.1HW1 due. Fourier series (use this), the harmonic series, and the first of many auditory illusions
30 Th X-hr2.8.3(catch-up lecture) Spectrogram, partials (touch tone info). Using praat fourier
Oct 1 F2.8.3Classroom visit/discussion with Kronos Quartet! (have questions ready, listen to some of their music ahead of time)
2 Sa: Performance by Kronos Quartet, Hopkins center
4 M3.6-3.9, 3.10.2-3.13Missing fundamental, Tuning systems (pythagorean, and just intonation) pythag
36 W2.5, 3.10.1, Benson Ch. 4HW2 due. Complex sounds: perceived pitch (bells), Helmholtz theory of dissonancediss
7 Th X-hr-Quiz 1 (answers, 30 mins, start at 12:00pm, bring calculators)
8 F(no lecture: Alex away)
11 M4.20, 7.4.6, 7.8 Travelling waves, speed of sound, echoes, spacetime diagrams.
413 W7.12HW3 due. Doppler effect (applet) and the Hammond organ (Leslie) doppler
15 F4.19.3-4.24.2Loudness and intensity, decibelsdB
18 M1.2.2-4, 5.3, 8.1-8.3.1Sounds sources: oscillatorsaccel
520 W8.10.1HW4 due. Damping and Q-factor.decay
21 Th X-hr-practise exam problem session (practise problems, 2007 exam [solutions], 2008 exam [solutions], flashcards)
Midterm: Thursday Oct 21, 6-8 pm, Steele 008 (solutions)
22 FComplex vibration modes of extended bodies (eg two masses, Chladni plates)
25 M8.5-8.7.1 Modes of an elastic string. Plucked strings.hitbar
627 WHW5 due. Damping and excitation of strings, bowing.
28 Th X-hr-
29 F8.7.5Plucked and bowed strings. Pipe resonances.
Nov 1 M8.7.4, 8.3.3More pipes, stretched partials, Helmholtz resonator. openclosed
73 W8.9HW6 due. Resonance.
5 Fthis Human voice: speech, formants, vowels, singing. sopranos, von Kempelen's machine.
Colloquium talk by Kevin Short, UNH. Wilder 104 (Physics building), Friday Nov 5, 3:30pm. "A Mathematical Physicist at the Grammies?"
8 M7.10, 7.13.2, 8.10.1, App.7Singing. Architectural acoustics: reverberation and early reflections.
810 WHW7 due. Derive Sabine's formula. Ray reflection, method of images.
11 Th X-hrQuiz 2 (35 mins, bring calculators) (answers)
12 F7.8, 7.11 Deadline to choose project topics. Multiple images and lattices. wave phenomena. image
15 M Interference and diffraction of waves.
917 WHW8 due. Human hearing: anatomy, frequency sensitivity.
19 FHuman hearing: directional sensing, frequency masking. direction
22 Melectronic music recording and reproduction. samplingsampling
24 W - 28 Su: --------- Thanksgiving recess ---------
29 M-Math in music composition, (Paganini 24th Caprice theme, Rachmaninov Rhapsody Op.43, inversion of melody) groups
10Dec 1 W-Project Presentation Mini-Conference (in usual lecture slot)
2 Th X-hr-Finish Project Presentations. Exam review session. practise questions. 2007 final (solutions), 2008 final (solutions).
Final Exam: Sat Dec 4, 8-11 am, Steele 008. (solutions)
Project write-ups due at my office, 5pm, Tues Dec 7.