6.084 Syllabus

Goals of this course

Assignments

Assignments will include reading memos and problem sets.

Plan

We will discuss the techniques from column B, roughly one per week, by applying them to diverse problems (an approximate list is in column A).

Techniques Problems
  • Divide and conquer
  • Flow (conservation of stuff)
  • Scaling and proportional reasoning
  • Dimensional analysis
  • Opportunism
  • Extreme cases
  • Balancing competing terms
  • Discretization
  • Everything is a spring
  • Random walks
  • Low-entropy expressions
  • What is the spacing between pits on a CD?
  • How can an index card be made to glide? How far can a 747 fly on a full tank? Why are hummingbirds tiny?
  • How does the period of a pendulum depend on amplitude?
  • By what angle does gravity bend light?
  • How many barrels of oil does the US import every year?
  • What is the budget of MIT?
  • What is the typical gas mileage for a car?
  • How much does CO2 increase the earth's temperature?
  • How fast (and why) does the earth's rotation axis precess?
  • How does the note produced by a wood (or steel) block depend on its thickness and length?
  • What is the average rainfall over the surface of the earth?
  • Why are raindrops roughly 0.3 cm in radius?
  • How is neutron-star crust like jello?
  • Why do stars twinkle?
  • How fast do tidal waves travel? How fast do ripples travel?


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