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Physics in the Arts Lecture S9 Fourier Analysis crepuscular tome steve here now Exam 3 is coming up Sunday April 26 date review sessions before exam 3 Wednesday April 29 posted on the Canvas home page Attend 1 review session also listed in the syllabus time TA room assigned Monday Tuesday April 27 2 00pm 4 00pm Anderson at class time 2 25pm or 3 30 Miguel pm Sterling 1333 Chamberlin 2241 April 28 5 00pm 7 00pm Rox Sterling 1333 Read book chapters 10 13 14 15 16 17 look at pdf files for all lecture slides on Canvas If you feel the need for more practice problems you can do all the problems at the end of book chapters 10 13 14 15 16 17 When you are done with each problem look up the solution in Chapter 21 and or ask us during the reviews or the office hours All relevant formulae and numbers for Exam 3 are given to you as shown on page 1 of Exam 3 Therefore there is no need to memorize any of them but you do need to know what the formulae mean and how to use them Cheating includes looking at notes books websites cell phones not even as a calculator talking to anyone else about the exam content or something completely different It doesn t matter to us what you are talking about if you talk you get a zero If you engage with anyone else talking to you you get a zero Any of the above will be considered cheating We will watch you and also record you during the exam so if you are caught cheating in any of the above ways you will get a zero for Exam 3 Bring a calculator a pencil a ruler Exam 3 Wednesday April 29th 2026 at your usual class time Location Bascom Hall 272 at 2 25 pm Location Chamberlin Hall 2241 at 3 30 pm McBurney students will be given more time and will do their exam in the lab 3124 Chamberlin Hall See separate e mail There will be 3 questions each worth 30 or 35 points so the total grade is 0 100 Each of the 3 questions will be graded identically by 1 of the 3 TAs so all grades are fair Exam 3 will be based on strings pipes musical scale and Fourier analysis To prepare for Exam 3 Do practice problems then look up solutions All problems and solution files are posted on the Canvas home page Attend 1 review session also listed in the syllabus review sessions before exam 3 Wednesday April 29 Sunday Monday Tuesday date April 26 April 27 time TA room assigned 2 00pm 4 00pm Anderson at class time 2 25pm or 3 30 Miguel pm Sterling 1333 Chamberlin 2241 April 28 5 00pm 7 00pm Rox Sterling 1333 Read book chapters 10 13 14 15 16 17 look at pdf files for all lecture slides on Canvas If you feel the need for more practice problems you can do all the problems at the end of book chapters 10 13 14 15 16 17 When you are done with each problem look up the solution in Chapter 21 and or ask us during the reviews or the office hours All relevant formulae and numbers for Exam 3 are given to you as shown on page 1 of Exam 3 Therefore there is no need to memorize any of them but you do need to know what the formulae mean and how to use them Cheating includes looking at notes books websites cell phones not even as Exam 3 cover page Synthesizing new tones Getty Images thestrangebrew co uk Robert Moog inventor of the synthesizer wikipedia Reminder superimposing waves 1 2 3 time s 4 T1 1s Reminder superimposing waves T2 1 33s T1 1s 1 1 2 2 3 3 time s 4 4 Reminder superimposing waves T2 1 33s T1 1s 1 1 1 2 2 2 T 4 s 3 3 3 time s 4 4 4 Reminder superimposing waves T2 1 33s T1 1s 1 1 1 2 2 2 T 4 s 3 3 3 time s 4 4 4 Reminder superimposing waves T2 1 33s T1 1s 1 1 1 2 2 2 T 4 s 3 3 3 time s 4 4 4 Reminder superimposing waves T2 1 33s T1 1s 1 1 1 2 2 2 T 4 s 3 3 3 time s 4 4 4 How to tell what intervals these are if given only the wave superposition in black Reminder superimposing waves Octave T2 1 33s Fourth T1 1s Fifth 1 1 1 2 2 2 T 4 s 3 3 3 time s 4 4 4 How to tell what intervals these are if given only the wave superposition in black Major Third Fourier Spectra 3 2 1 e d u t i l p m a 1 2 3 0 005 0 010 0 015 0 020 0 025 0 030 time s Fourier Spectra T 0 01 s f 1 T 100 Hz 0 005 0 010 0 015 0 020 0 025 0 030 time s 3 2 1 e d u t i l p m a 1 2 3 Fourier Spectra T 0 01 s f 1 T 100 Hz 0 005 0 010 0 015 0 020 0 025 0 030 time s 3 2 1 e d u t i l p m a 1 2 3 T 0 0067 s f 1 T 150 Hz Fourier Spectra T 0 01 s f 1 T 100 Hz amplitude 3 0 005 0 010 0 015 0 020 0 025 0 030 time s 3 2 1 e d u t i l p m a 1 2 3 T 0 0067 s f 1 T 150 Hz Fourier Spectra T 0 01 s f 1 T 100 Hz amplitude 3 amplitude 2 0 005 0 010 0 015 0 020 0 025 0 030 time s 3 2 1 e d u t i l p m a 1 2 3 T 0 0067 s f 1 T 150 Hz Fourier Spectra T 0 01 s f 1 T 100 Hz Amplitudes and frequencies are much easier to communicate with bar graph amplitude 3 amplitude 2 0 005 0 010 0 015 0 020 0 025 0 030 time s 3 5 3 0 2 5 2 0 1 5 1 0 0 5 0 0 e d u t i l p m a 3 2 1 e d u t i l p m a 1 2 3 T 0 0067 s f 1 T 150 Hz 0 50 100 150 200 frequency Hz Fourier Spectra T 0 01 s f 1 T 100 Hz Amplitudes and frequencies are much easier to communicate with bar graph amplitude 3 amplitude 2 0 005 0 010 0 015 0 020 0 025 0 030 time s 3 5 3 0 2 5 2 0 1 5 1 0 0 5 0 0 e d u t i l p …


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UW-Madison PHYSICS 109 - Fourier Analysis

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