Definition of the exponential form. A basic example to understand the system of expressing any number into exponential form on the basis of another number.
Nice stuff - ideal to add to a lesson introducing standard form (scientific notation) - wish they'd written the numbers the conventional way round though!
"Chances are you've seen this symbol before, because it's one of the most well-known Egyptian symbols. It's called the Eye of Horus. It's been in the background of plenty of mummy movies, and been turned into a lot of necklace charms. Some people think it's writing. Actually, it's math."
LOG IN January 24th 9pm ET: http://tinyurl.com/MathFutureEvent
Music and mathematics have been linked together for thousands of years, but rarely have students had the opportunity to explore the many connections that exist between them. To try to fill this gap, Mike Thayer of Hyperbolic Guitars is developing a course. At the event, we will discuss the course outline, as well as math and music links in general.
All events in the Math Future weekly series: http://mathfuture.wikispaces.com/events
The recording will be at http://mathfuture.wikispaces.com/HyperbolicGuitarsCourse
Event challenge!
Help Mike find a resource - a web page, a video, a music piece - to go with one of the topics in the course outline. Full syllabus and details of the outline:
http://hyperbolicguitars.wikispaces.com/Math+%26+Music+Course
Major topics:
What is sound, anyway?
The physics of waves
The mathematics of waves
Resonance
Elasticity
The generation of sound by "simple" systems
The vibrating string
The vibrating rod
The vibrating plate (e.g., drumhead or cymbal)
Open and closed pipes
The Helmholtz resonator (--> the vocal chords)
White noise, pink noise
The concept of "timbre"
The perception of sound
Human listeners
Other "listeners": Digital recording
The interaction between the generator and the listener: the science of acoustics
What makes sound become music?
What does a listener "listen for" in music?
Basics of music and musical notation: Musical descriptions
Basics of music: Psycho-physical (auditory) descriptions
What makes sound "musical" (