Math 190:
The Mathematics of the Universe
Summer Term 2, July 9 - August 1, 2019
Physics 235, Monday through Friday, 10:00 a.m. - 12:05 p.m.
Professor
Hubert Bray
bray@math.duke.edu
189
Physics Building
(919)757-8428 (mobile)
Office
Hours: after class, upon request
TA: Sam Lester, samuel.lester@duke.edu
For Wednesday, July 10
Watch these videos:
3.01 The Rule of Pythagoras
3.02 Rotations and the Dot Product
3.03 Gauss's Geometry and Special Relativity
For Thursday, July 11
Watch these videos:
3.04 Special Relativity is a Minus Sign in the Rule of Pythagoras
3.05 The Light Cone
3.06 The Universality of the Speed of Light
For Friday, July 12
Watch these videos:
3.07 World Lines and the Twin "Paradox"
3.08 Boosts are Rotations in Space and Time
For Monday, July 15
Papers and presentations due.
For Tuesday, July 16
Watch these videos:
3.09 How Velocities Add
3.10 How Velocities Add, Part 2
For Wednesday, July 17
Watch these videos:
3.11 How Lengths Contract
3.12 The Train in the Tunnel Paradox
For Thursday, July 18
Watch these videos:
3.13 De Sitter Space: The Spacetime Unit Sphere of Special Relativity
3.14 Hyperbolic Space The Spacelike Unit Sphere of Special Relativity
For Friday, July 19
Watch these videos:
3.15 Time Travel and Alien Abduction
4.01 Intro to General Relativity
4.02 The Geometry of Black Holes
For Monday, July 22
Papers and presentations due.
For Tuesday, July 23:
View these slides: Presentation on Special and General Relativity
For Monday, July 29
Papers and presentations due.