In this course we will seek to “understand Einstein,” especially focusing on the special theory of relativity that Albert Einstein, as a twenty-six year old patent clerk, introduced in his “miracle year” of 1905. Our goal will be to go behind the myth-making and beyond the popularized presentations of relativity in order to gain a deeper understanding of both Einstein the person and the concepts, predictions, and strange paradoxes of his theory. Some of the questions we will address include: How did Einstein come up with his ideas? What was the nature of his genius? What is the meaning of relativity? What’s “special” about the special theory of relativity? Why did the theory initially seem to be dead on arrival? What does it mean to say that time is the “fourth dimension”? Can time actually run more slowly for one person than another, and the size of things change depending on their velocity? Is time travel possible, and if so, how? Why can’t things travel faster than the speed of light? Is it possible to travel to the center of the galaxy and return in one lifetime? Is there any evidence that definitively confirms the theory, or is it mainly speculation? Why didn’t Einstein win the Nobel Prize for the theory of relativity?
About the instructor: Dr. Larry Lagerstrom is the Director of Academic Programs at Stanford University’s Center for Professional Development, which offers graduate certificates in subjects such as artificial intelligence, cyber security, data mining, nanotechnology, innovation, and management science. He holds degrees in physics, mathematics, and the history of science, has published a book and a TED Ed video on "Young Einstein: From the Doxerl Affair to the Miracle Year," and has had over 30,000 students worldwide enroll in his online course on the special theory of relativity (this course!).
Week 1: Introduction to the Course, and Einstein in Context
What's included
9 videos8 readings4 assignments
Show info about module content
9 videos•Total 149 minutes
Why take this course?•7 minutes
Course overview•17 minutes
How to succeed in the course•21 minutes
Rules of engagement•11 minutes
Math review•24 minutes
Week 1 introduction•8 minutes
Physics and Einstein circa 1900•26 minutes
To the miracle year•18 minutes
The miracle year•16 minutes
8 readings•Total 22 minutes
Course overview (outline)•5 minutes
How to succeed in the course (outline)•2 minutes
Rules of engagement (outline)•2 minutes
Math review (outline)•2 minutes
Week 1 introduction (outline)•2 minutes
Physics and Einstein circa 1900 (outline)•5 minutes
To the miracle year (outline)•2 minutes
The miracle year (outline)•2 minutes
4 assignments•Total 120 minutes
Physics and Einstein circa 1900•30 minutes
To the miracle year•30 minutes
The miracle year•30 minutes
Week 1 final quiz•30 minutes
Events, Clocks, and Reference Frames
Module 2•11 hours to complete
Module details
Week 2: Events, Clocks, and Reference Frames
What's included
11 videos12 readings9 assignments
Show info about module content
11 videos•Total 174 minutes
Week 2 introduction•11 minutes
Events, clocks, and observers (part 1)•15 minutes
Events, clocks, and observers (part 2)•10 minutes
Spacetime diagrams (part 1)•18 minutes
Spacetime diagrams (part 2)•15 minutes
Frames of reference (part 1)•18 minutes
Frames of reference (part 2)•16 minutes
Frames of reference (part 3)•11 minutes
A few more words on world lines•11 minutes
The Galilean transformation•18 minutes
Week 2 summary•32 minutes
12 readings•Total 230 minutes
Week 2 introduction (outline)•2 minutes
Events, clocks, and observers (part 1) (outline)•2 minutes
Events, clocks, and observers (part 2) (outline)•2 minutes
Spacetime diagrams (part 1) (outline)•2 minutes
Spacetime diagrams (part 2) (outline)•2 minutes
Frames of reference (part 1) (outline)•2 minutes
Frames of reference (part 2) (outline)•2 minutes
Frames of reference (part 3) (outline)•2 minutes
A few more words on world lines (outline)•2 minutes
The Galilean transformation (outline)•2 minutes
Week 2 problem set (optional)•180 minutes
Week 2 problem set solutions•30 minutes
9 assignments•Total 270 minutes
Events, clocks, and observers (parts 1 and 2)•30 minutes
Spacetime diagrams (part 1)•30 minutes
Spacetime diagrams (part 2)•30 minutes
Frames of reference (part 1)•30 minutes
Frames of reference (part 2)•30 minutes
Frames of reference (part 3)•30 minutes
A few more words on world lines•30 minutes
The Galilean transformation•30 minutes
Week 2 final quiz•30 minutes
Ethereal Problems and Solutions
Module 3•10 hours to complete
Module details
Week 3: Ethereal Problems and Solutions
What's included
12 videos15 readings6 assignments
Show info about module content
12 videos•Total 203 minutes
Week 3 introduction•12 minutes
Einstein's starting point: the two postulates•22 minutes
A few words about waves (part 1)•18 minutes
A few words about waves (part 2)•8 minutes
A few words about waves (part 3)•18 minutes
The Michelson-Morley experiment (part 1)•16 minutes
The Michelson-Morley experiment (part 2)•19 minutes
The Michelson-Morley experiment (part 3)•12 minutes
The Michelson-Morley experiment (part 4)•25 minutes
Stellar aberration•10 minutes
Ethereal solutions•19 minutes
Week 3 summary•25 minutes
15 readings•Total 242 minutes
Week 3 introduction (outline)•2 minutes
A note on "Einstein and God"•5 minutes
A note on wave-particle duality and the nature of light•5 minutes
Einstein's starting point: the two postulates (outline)•2 minutes
A few words about waves (part 1) (outline)•2 minutes
A few words about waves (part 2) (outline)•2 minutes
A few words about waves (part 3) (outline)•2 minutes
The Michelson-Morley experiment (part 1) (outline)•2 minutes
The Michelson-Morley experiment (part 2) (outline)•2 minutes
The Michelson-Morley experiment (part 3) (outline)•2 minutes
The Michelson-Morley experiment (part 4) (outline)•2 minutes
Stellar aberration (outline)•2 minutes
Ethereal solutions (outline)•2 minutes
Week 3 problem set (optional)•180 minutes
Week 3 problem set solutions•30 minutes
6 assignments•Total 180 minutes
Einstein's starting point: the two postulates•30 minutes
A few words about waves (parts 1, 2, and 3)•30 minutes
The Michelson-Morley experiment (all parts)•30 minutes
Stellar aberration•30 minutes
Ethereal solutions•30 minutes
Week 3 final quiz•30 minutes
The Weirdness Begins
Module 4•12 hours to complete
Module details
Week 4: The Weirdness Begins
What's included
14 videos15 readings9 assignments
Show info about module content
14 videos•Total 215 minutes
Week 4 introduction•7 minutes
The relativity of simultaneity (part 1)•7 minutes
The relativity of simultaneity (part 2)•11 minutes
The relativity of simultaneity (part 3)•16 minutes
The relativity of simultaneity (summary)•12 minutes
The light clock (part 1)•12 minutes
The light clock (part 2)•26 minutes
Exploring the Lorentz factor•7 minutes
Time dilation•22 minutes
Measuring length•22 minutes
What is not suspect•13 minutes
The invariant interval•23 minutes
A real-life example: the muon•8 minutes
Week 4 summary•30 minutes
15 readings•Total 244 minutes
Week 4 introduction (outline)•2 minutes
The relativity of simultaneity (diagram 1)•2 minutes
The relativity of simultaneity (diagram 2)•2 minutes
The relativity of simultaneity (diagram 3)•2 minutes
The relativity of simultaneity (leading clocks lag diagram)•2 minutes
The light clock (part 1) (outline)•2 minutes
The light clock (part 2) (outline)•2 minutes
Exploring the Lorentz factor (outline)•2 minutes
Time dilation (outline)•2 minutes
Measuring length (diagram)•10 minutes
What is not suspect (outline)•2 minutes
The invariant interval (outline)•2 minutes
A real-life example: the muon (outline)•2 minutes
Week 4 problem set (optional)•180 minutes
Week 4 problem set solutions•30 minutes
9 assignments•Total 270 minutes
The relativity of simultaneity (parts 1 and 2)•30 minutes
The relativity of simultaneity (part 3)•30 minutes
The relativity of simultaneity (summary)•30 minutes
The light clock and exploring the Lorentz factor•30 minutes
Time dilation•30 minutes
Measuring length•30 minutes
What is not suspect, and the invariant interval•30 minutes
The muon•30 minutes
Week 4 final quiz•30 minutes
Spacetime Switches
Module 5•14 hours to complete
Module details
Week 5: Spacetime Switches
What's included
17 videos16 readings10 assignments
Show info about module content
17 videos•Total 272 minutes
Week 5 introduction•10 minutes
Units for the speed of light•8 minutes
Exploring time dilation and length contraction (part 1)•26 minutes
The Lorentz transformation (part 1)•22 minutes
The Lorentz transformation (part 2)•17 minutes
The Lorentz transformation (part 3)•29 minutes
Exploring the Lorentz transformation (part 1)•17 minutes
Exploring the Lorentz transformation (part 2)•12 minutes
Exploring the Lorentz transformation (part 3)•6 minutes
Leading clocks lag, revisited (a quantitative analysis)•30 minutes
Leading clocks lag, revisited (alternate shorter version)•17 minutes
Exploring time dilation and length contraction (part 2)•17 minutes
Combining velocities•25 minutes
Combining velocities, addendum•3 minutes
The ultimate speed limit•10 minutes
What happens with perpendicular velocities?•12 minutes
Week 5 summary•10 minutes
16 readings•Total 238 minutes
Week 5 introduction (outline)•2 minutes
Units for the speed of light (outline)•2 minutes
Exploring time dilation and length contraction (part 1) (outline)•2 minutes
The Lorentz transformation (part 1) (outline)•2 minutes
The Lorentz transformation (part 2) (outline)•2 minutes
The Lorentz transformation (part 3) (outline)•2 minutes
Exploring the Lorentz transformation (part 1) (outline)•2 minutes
Exploring the Lorentz transformation (part 2) (outline)•2 minutes
Exploring the Lorentz transformation (part 3) (outline)•2 minutes
Leading clocks lag, revisited (outline)•2 minutes
Exploring time dilation and length contraction (part 2) (outline)•2 minutes
Combining velocities (outline)•2 minutes
The ultimate speed limit (outline)•2 minutes
What happens with perpendicular velocities? (outline)•2 minutes
Week 5 problem set (optional)•180 minutes
Week 5 problem set solutions•30 minutes
10 assignments•Total 300 minutes
Units for the speed of light•30 minutes
Exploring time dilation and length contraction (part 1)•30 minutes
The Lorentz transformation (parts 1, 2, and 3)•30 minutes
Exploring the Lorentz transformation (parts 1, 2, and 3)•30 minutes
Leading clocks lag, revisited•30 minutes
Exploring time dilation and length contraction (part 2)•30 minutes
Combining velocities•30 minutes
The ultimate speed limit•30 minutes
What happens with perpendicular velocities?•30 minutes
Week 5 final quiz•30 minutes
Breaking the Spacetime Speed Limit
Module 6•11 hours to complete
Module details
Week 6: Breaking the Spacetime Speed Limit
What's included
11 videos11 readings8 assignments
Show info about module content
11 videos•Total 167 minutes
Week 6 introduction•5 minutes
Spacetime diagrams revisited (part 1a)•16 minutes
Spacetime diagrams revisited (part 1b)•8 minutes
Spacetime diagrams revisited (part 2)•13 minutes
Spacetime diagrams revisited (part 3)•21 minutes
Spacetime diagrams revisited (part 4)•18 minutes
Spacetime diagrams revisited (part 5)•11 minutes
Regions of spacetime•29 minutes
Faster than light?•16 minutes
Cause and effect, or vice versa?•13 minutes
Week 6 summary•15 minutes
11 readings•Total 228 minutes
Week 6 introduction (outline)•2 minutes
Spacetime diagrams revisited (parts 1a and 1b) (outline)•2 minutes
The Leland Stanford Junior University, commonly referred to as Stanford University or Stanford, is an American private research university located in Stanford, California on an 8,180-acre (3,310 ha) campus near Palo Alto, California, United States.
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Excellent course -- one of the best I've ever taken! It is unsurprisingly not an easy topic, but the concepts are explained very well, and the assignments are relevant to grasping the ideas.
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Reviewed on Aug 6, 2020
It is an excellent course. Just the right thing for a person who truly wants to understand the basics of the Special Theory of Relativity. The teaching style of the instructor is also amazing.
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Reviewed on Apr 1, 2017
I enjoyed this course very much. Professor Larry Randles Lagerstrom made a difficult subject easy to understand. Especially for a fellow who at 85 has forgotten a lot of what he learned in college.
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