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                     
189 Physics Building                             (919)757-8428 (mobile)
Office Hours: after class, upon request
TA: Sam Lester,


Syllabus and Course Information

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.