Lectures (Video)

- 1. Introduction and Newtonian Mechanics
- 2. Vectors in Multiple Dimensions
- 3. Newton's Laws of Motion
- 4. 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 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. Taylor Series and Other Mathematical Concepts
- 17. Simple Harmonic Motion
- 18. Introduction to Waves
- 19. Waves
- 20. Fluid Dynamics, Statics and Bernoulli's Equation
- 21. Thermodynamics
- 22. Boltzmann Constant and First Law of Thermodynamics
- 23. Second Law of Thermodynamics and Carnot's Engine
- 24. Entropy

## Fundamentals of Physics - Lecture 16

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Lecture 16 - Taylor Series and Other Mathematical Concepts
The lecture covers a number of mathematical concepts. The Taylor series is introduced and its properties discussed, supplemented by various examples. Complex numbers are explained in some detail, especially in their polar form. The lecture ends with a discussion of simple harmonic motion.
Prof. Ramamurti Shankar
PHYS 20 Fundamentals of Physics (Fall, 2006) (Yale University: Open Yale) http://oyc.yale.edu Date accessed: 2009-04-11 License: Creative Commons BY-NC-SA |

### Lecture Material

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