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Stanford University - Understanding Einstein: The Special Theory of Relativity 

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Understanding Einstein: The Special Theory of Relativity
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Duration

81 hours

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Online

Difficulty level

Beginner

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Understanding Einstein: The Special Theory of Relativity
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  • Beginner Level
  • Approx. 81 hours to complete
  • English Subtitles: Arabic, French, Portuguese (European), Italian, Vietnamese, German, Russian, English, Spanish
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Understanding Einstein: The Special Theory of Relativity
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Coursera 
Course details

More about this course
  • 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!).
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Understanding Einstein: The Special Theory of Relativity
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Curriculum

Introduction to the Course, and Einstein in Context

Why take this course?

Course overview

How to succeed in the course

Rules of engagement

Math review

Week 1 introduction

Physics and Einstein circa 1900

To the miracle year

The miracle year

Course overview (outline)

How to succeed in the course (outline)

Rules of engagement (outline)

Math review (outline)

Week 1 introduction (outline)

Physics and Einstein circa 1900 (outline)

To the miracle year (outline)

The miracle year (outline)

Physics and Einstein circa 1900

To the miracle year

The miracle year

Week 1 final quiz

Events, Clocks, and Reference Frames

Week 2 introduction

Events, clocks, and observers (part 1)

Events, clocks, and observers (part 2)

Spacetime diagrams (part 1)

Spacetime diagrams (part 2)

Frames of reference (part 1)

Frames of reference (part 2)

Frames of reference (part 3)

A few more words on world lines

The Galilean transformation

Week 2 summary

Week 2 introduction (outline)

Events, clocks, and observers (part 1) (outline)

Events, clocks, and observers (part 2) (outline)

Spacetime diagrams (part 1) (outline)

Spacetime diagrams (part 2) (outline)

Frames of reference (part 1) (outline)

Frames of reference (part 2) (outline)

Frames of reference (part 3) (outline)

A few more words on world lines (outline)

The Galilean transformation (outline)

Week 2 problem set (optional)

Week 2 problem set solutions

Events, clocks, and observers (parts 1 and 2)

Spacetime diagrams (part 1)

Spacetime diagrams (part 2)

Frames of reference (part 1)

Frames of reference (part 2)

Frames of reference (part 3)

A few more words on world lines

The Galilean transformation

Week 2 final quiz

Ethereal Problems and Solutions

Week 3 introduction

Einstein's starting point: the two postulates

A few words about waves (part 1)

A few words about waves (part 2)

A few words about waves (part 3)

The Michelson-Morley experiment (part 1)

The Michelson-Morley experiment (part 2)

The Michelson-Morley experiment (part 3)

The Michelson-Morley experiment (part 4)

Stellar aberration

Ethereal solutions

Week 3 summary

Week 3 introduction (outline)

A note on "Einstein and God"

A note on wave-particle duality and the nature of light

Einstein's starting point: the two postulates (outline)

A few words about waves (part 1) (outline)

A few words about waves (part 2) (outline)

A few words about waves (part 3) (outline)

The Michelson-Morley experiment (part 1) (outline)

The Michelson-Morley experiment (part 2) (outline)

The Michelson-Morley experiment (part 3) (outline)

The Michelson-Morley experiment (part 4) (outline)

Stellar aberration (outline)

Ethereal solutions (outline)

Week 3 problem set (optional)

Week 3 problem set solutions

Einstein's starting point: the two postulates

A few words about waves (parts 1, 2, and 3)

The Michelson-Morley experiment (all parts)

Stellar aberration

Ethereal solutions

Week 3 final quiz

The Weirdness Begins

Week 4 introduction

The relativity of simultaneity (part 1)

The relativity of simultaneity (part 2)

The relativity of simultaneity (part 3)

The relativity of simultaneity (summary)

The light clock (part 1)

The light clock (part 2)

Exploring the Lorentz factor

Time dilation

Measuring length

What is not suspect

The invariant interval

A real-life example: the muon

Week 4 summary

Week 4 introduction (outline)

The relativity of simultaneity (diagram 1)

The relativity of simultaneity (diagram 2)

The relativity of simultaneity (diagram 3)

The relativity of simultaneity (leading clocks lag diagram)

The light clock (part 1) (outline)

The light clock (part 2) (outline)

Exploring the Lorentz factor (outline)

Time dilation (outline)

Measuring length (diagram)

What is not suspect (outline)

The invariant interval (outline)

A real-life example: the muon (outline)

Week 4 problem set (optional)

Week 4 problem set solutions

The relativity of simultaneity (parts 1 and 2)

The relativity of simultaneity (part 3)

The relativity of simultaneity (summary)

The light clock and exploring the Lorentz factor

Time dilation

Measuring length

What is not suspect, and the invariant interval

The muon

Week 4 final quiz

Spacetime Switches

Week 5 introduction

Units for the speed of light

Exploring time dilation and length contraction (part 1)

The Lorentz transformation (part 1)

The Lorentz transformation (part 2)

The Lorentz transformation (part 3)

Exploring the Lorentz transformation (part 1)

Exploring the Lorentz transformation (part 2)

Exploring the Lorentz transformation (part 3)

Leading clocks lag, revisited (a quantitative analysis)

Leading clocks lag, revisited (alternate shorter version)

Exploring time dilation and length contraction (part 2)

Combining velocities

Combining velocities, addendum

The ultimate speed limit

What happens with perpendicular velocities?

Week 5 summary

Week 5 introduction (outline)

Units for the speed of light (outline)

Exploring time dilation and length contraction (part 1) (outline)

The Lorentz transformation (part 1) (outline)

The Lorentz transformation (part 2) (outline)

The Lorentz transformation (part 3) (outline)

Exploring the Lorentz transformation (part 1) (outline)

Exploring the Lorentz transformation (part 2) (outline)

Exploring the Lorentz transformation (part 3) (outline)

Leading clocks lag, revisited (outline)

Exploring time dilation and length contraction (part 2) (outline)

Combining velocities (outline)

The ultimate speed limit (outline)

What happens with perpendicular velocities? (outline)

Week 5 problem set (optional)

Week 5 problem set solutions

Units for the speed of light

Exploring time dilation and length contraction (part 1)

The Lorentz transformation (parts 1, 2, and 3)

Exploring the Lorentz transformation (parts 1, 2, and 3)

Leading clocks lag, revisited

Exploring time dilation and length contraction (part 2)

Combining velocities

The ultimate speed limit

What happens with perpendicular velocities?

Week 5 final quiz

Breaking the Spacetime Speed Limit

Week 6 introduction

Spacetime diagrams revisited (part 1a)

Spacetime diagrams revisited (part 1b)

Spacetime diagrams revisited (part 2)

Spacetime diagrams revisited (part 3)

Spacetime diagrams revisited (part 4)

Spacetime diagrams revisited (part 5)

Regions of spacetime

Faster than light?

Cause and effect, or vice versa?

Week 6 summary

Week 6 introduction (outline)

Spacetime diagrams revisited (parts 1a and 1b) (outline)

Spacetime diagrams revisited (part 2) (outline)

Spacetime diagrams revisited (part 3) (outline)

Spacetime diagrams revisited (part 4) (outline)

Spacetime diagrams revisited (part 5) (outline)

Regions of spacetime (outline)

Faster than light? (outline)

Cause and effect, or vice versa? (outline)

Week 6 problem set (optional)

Week 6 problem set solutions

Spacetime diagrams revisited (parts 1a and 1b)

Spacetime diagrams revisited (part 2)

Spacetime diagrams revisited (parts 3 and 4)

Spacetime diagrams revisited (part 5)

Regions of spacetime

Faster than light?

Cause and effect, or vice versa?

Week 6 final quiz

Paradoxes to Ponder

Week 7 introduction

Cause and effect: spacetime diagram

The pole in the barn paradox

The pole in the barn: spacetime diagram

How objects contract

Spaceships on a rope

The twin paradox (part 1)

The twin paradox (part 2)

The twin paradox (part 3)

The twin paradox (part 4)

Week 7 summary

Week 7 introduction (outline)

Cause and effect: spacetime diagram (outline)

The pole in the barn paradox (outline)

The pole in the barn: spacetime diagram (outline)

How objects contract (outline)

Spaceships on a rope (outline)

The twin paradox (part 1) (outline)

The twin paradox (part 2) (outline)

The twin paradox (part 3) (outline)

The twin paradox (part 4) (outline)

Week 7 problem set (optional)

Week 7 problem set solutions

Cause and effect: spacetime diagram

The pole in the barn paradox and spacetime diagram

How objects contract, and spaceships on a rope

The twin paradox (parts 1-4)

Week 7 final quiz

To the Center of the Galaxy and Back

Week 8 introduction

Traveling the galaxy (part 1)

The famous equation

Traveling the galaxy (part 2)

The happiest thought

The bending of light

Final comments

Week 8 summary

Course recap

Week 8 introduction (outline)

Traveling the galaxy (part 1) (outline)

The famous equation (outline)

Traveling the galaxy (part 2) (outline)

The happiest thought (outline)

The bending of light (outline)

Final comments (outline)

Suggested books for further reading

Week 8 problem set (optional)

Week 8 problem set solutions

Traveling the galaxy (part 1)

The famous equation

Traveling the galaxy (part 2)

The happiest thought

The bending of light

Final comments

Week 8 final quiz

Understanding Einstein: The Special Theory of Relativity
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    May 25, 2024
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