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Course Introduction and Newtonian Mechanics

By Ramamurti Shankar - Yale
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Lecture Description

Professor Shankar introduces the course and answers student questions about the material and the requirements. He gives an overview of Newtonian mechanics and explains its two components: kinematics and dynamics. He then reviews basic concepts in calculus through two key equations: x0 + v0t + ½ at2 and v2 = v02+ 2 a (x-x0), tracing the fate of a particle in one dimension along the x-axis.

Course Description

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Lecture Transcript and Reading Assignment

Course Index

  1. Course Introduction and Newtonian Mechanics
  2. Vectors in Multiple Dimensions
  3. Newton's Laws of Motion
  4. Newton's Laws (cont.) and Inclined Planes
  5. Work-Energy Theorem and Law of Conservation of Energy
  6. Law of Conservation of Energy in Higher Dimensions
  7. Kepler's Laws
  8. Dynamics of a Multiple-Body System and Law of Conservation of Momentum
  9. Rotations, Part I: Dynamics of Rigid Bodies
  10. Rotations, Part II: Parallel Axis Theorem
  11. Torque
  12. Introduction to Relativity
  13. Lorentz Transformation
  14. Introduction to the Four-Vector
  15. Four-Vector in Relativity
  16. The Taylor Series and Other Mathematical Concepts
  17. Simple Harmonic Motion
  18. Simple Harmonic Motion (cont.) and Introduction to Waves
  19. Waves
  20. Fluid Dynamics and Statics and Bernoulli's Equation
  21. Thermodynamics
  22. The Boltzmann Constant and First Law of Thermodynamics
  23. The Second Law of Thermodynamics and Carnot's Engine
  24. The Second Law of Thermodynamics (cont.) and Entropy