Math 5: Schedule, topics and worksheets - FALL 2010

week	date	(reading)	daily topics, links & demos	worksheets
1	Sept 22 W	website	Periodic sounds, frequency, functions	funcs, soln
	23 Th X-hr	Resources page	Tool session: using audacity
	24 F	2.3, 3.1-3.2, 5.4-5.4.2	Pure tones, sinusoidal and circular motion. musical frequencies, addition formula (also here)	addn, soln
	27 M	3.3, 6.7	Combining tones, beats, perfect intervals	zerocross
2	29 W	2.8, 6.4.1	HW1 due. Fourier series (use this), the harmonic series, and the first of many auditory illusions
	30 Th X-hr	2.8.3	(catch-up lecture) Spectrogram, partials (touch tone info). Using praat	fourier
	Oct 1 F	2.8.3	Classroom 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 M	3.6-3.9, 3.10.2-3.13	Missing fundamental, Tuning systems (pythagorean, and just intonation)	pythag
3	6 W	2.5, 3.10.1, Benson Ch. 4	HW2 due. Complex sounds: perceived pitch (bells), Helmholtz theory of dissonance	diss
	7 Th X-hr	-	Quiz 1 (answers, 30 mins, start at 12:00pm, bring calculators)
	8 F		(no lecture: Alex away)
	11 M	4.20, 7.4.6, 7.8	Travelling waves, speed of sound, echoes, spacetime diagrams.
4	13 W	7.12	HW3 due. Doppler effect (applet) and the Hammond organ (Leslie)	doppler
	15 F	4.19.3-4.24.2	Loudness and intensity, decibels	dB
	18 M	1.2.2-4, 5.3, 8.1-8.3.1	Sounds sources: oscillators	accel
5	20 W	8.10.1	HW4 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 F		Complex vibration modes of extended bodies (eg two masses, Chladni plates)
	25 M	8.5-8.7.1	Modes of an elastic string. Plucked strings.	hitbar
6	27 W		HW5 due. Damping and excitation of strings, bowing.
	28 Th X-hr	-
	29 F	8.7.5	Plucked and bowed strings. Pipe resonances.
	Nov 1 M	8.7.4, 8.3.3	More pipes, stretched partials, Helmholtz resonator.	openclosed
7	3 W	8.9	HW6 due. Resonance.
	5 F	this	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 M	7.10, 7.13.2, 8.10.1, App.7	Singing. Architectural acoustics: reverberation and early reflections.
8	10 W		HW7 due. Derive Sabine's formula. Ray reflection, method of images.
	11 Th X-hr		Quiz 2 (35 mins, bring calculators) (answers)
	12 F	7.8, 7.11	Deadline to choose project topics. Multiple images and lattices. wave phenomena.	image
	15 M		Interference and diffraction of waves.
9	17 W		HW8 due. Human hearing: anatomy, frequency sensitivity.
	19 F		Human hearing: directional sensing, frequency masking.	direction
	22 M		electronic music recording and reproduction. sampling	sampling
	24 W - 28 Su: --------- Thanksgiving recess ---------
	29 M	-	Math in music composition, (Paganini 24th Caprice theme, Rachmaninov Rhapsody Op.43, inversion of melody)	groups
10	Dec 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.