courses:order:rforder

Unit: Rotating Reference Frames

Reference Frames (40 minutes)

Overview (Lecture: 5 minutes)
Inertial Frames (SWBQ: 10 minutes)
Galilean Transformations (Lecture: 10 minutes)
Linear Acceleration (SGA or SWBQ: 15 minutes)

2-D Rotations (110 minutes)

Merry-Go-Round (Kinesthetic Activity: 10 minutes)
2-d relative time derivatives (Lecture: 30 minutes)
Coriolis and Centrifugal Accelerations (SGA or SWBQ: 10 minutes; can also be done as a kinesthetic activity)
Turntable Hockey (Maple worksheet: 50 minutes)
Linear Motion (Lecture: 10 minutes)

3-D Rotations (160 minutes)

East is not East (SWBQ: 10 minutes)
Rocket from the North Pole (SGA: 10 minutes)
3-d relative time derivatives (Lecture: 30 minutes)
Earth Hockey I (SGA [web animations]: 40 minutes)
Centrifugal and Coriolis forces (Lecture: 10 minutes)
Earth hockey II (Maple worksheet: 60 minutes)

Motion Relative to Earth (40 minutes)

Direction of Gravity (Lecture: 10 minutes)
Applications (Lecture: 10 minutes)
Foucault Pendulum (Lecture: 20 minutes)

Unit: Special Relativity

Basics of Special Relativity (45 minutes)

Galilean Spacetime Diagrams (SWBQ: 20 minutes)
Postulates of Special Relativity (Lecture: 15 minutes)
Consequences of Special Relativity (Lecture: 10 minutes)

Lorentz Transformations (95 minutes)

Time Dilation and Length Contraction (Lecture: 5 minutes)
Paradoxes I (SGA: 45-80 minutes)
Parable I (Lecture: 10 minutes)

Spacetime Geometry (150 minutes)

Parable II (Lecture: 10 minutes)
Spacetime (Lecture: 5 minutes)
Trigonometry (SWBQ: 5 minutes)
Circle Trig (Lecture: 10 minutes)
Hyperbola Trig (Lecture: 15 minutes)
Spacetime Intervals (Lecture: 5 minutes)
Right Triangles (SWBQ: 10 minutes)
Length Contraction (SWBQ: 30 minutes)
Time Dilation (Lecture: 5–10 minutes)
Angles and Speeds (Lecture: 20 minutes)
Paradoxes II (SGA: 20 minutes)
Resolving Paradoxes with Spacetime Diagrams (Lecture: 10 minutes)

Unit: Relativistic Mechanics

Relativistic Mechanics (50 minutes)

Addition Formula from Lorentz Transformation (Lecture: 10 minutes)
Proper Time (Lecture: 20 minutes)
4-velocity and 4-momentum (Lecture: 10 minutes)
Rest Mass and Kinetic Energy (Lecture: 10 minutes)

Relativistic Dynamics (150 minutes)

Energy, Mass, Momentum (SWBQ: 10 minutes)
Massless Particles (Lecture: 5 minutes)
Cosmic Rays (SGA: 45 minutes)
Newtonian conservation laws (Lecture: 10 minutes)
Relativistic conservation laws (Lecture: 20 minutes)
Mass is not Conserved (SGA: 10 minutes)
Straight Line is Longest (Lecture: 10 minutes)
Discussion of collision activity (Lecture: 10 minutes)
Energy-Momentum in Different Frames (SGA or SWBQ: 30 minutes)

Unit: Relativistic Electromagnetism

Relativistic E&M (85 minutes)

Magnetism via Special Relativity (Lecture: 15 minutes)
Lorentz Transformations for Electromagnetism (Lecture: 30 minutes)
Lorentz Transformations for Electromagnetism (SGA: 45 minutes)
Tensor Description of Electromagnetism (Lecture: 40 minutes)

Unit: Transition to General Relativity

Course Summary (10 minutes)

Course Summary (Lecture: 10 minutes)

General Relativity (30 minutes)

Tidal Effects (Lecture: 10 minutes)
Geometry of General Relativity (Lecture: 10 minutes)
Uniform Acceleration and Black Holes (Lecture: 10 minutes)

Miscellaneous Topics (10 minutes)

Doppler effect (SGA: 10 minutes)