"Lec 16 - The Taylor Series and Other Mathematical Concepts" Fundamentals of Physics (PHYS 200) 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. 00:00 - Chapter 1. Derive Taylor Series of a Function, f as [Σ (0, ∞)fnxn/n!] 14:21 - Chapter 2. Examples of Functions with Invalid Taylor Series 17:30 - Chapter 3. Taylor Series for Popular Functions(cos x, ex,etc) 23:31 - Chapter 4. Derive Trigonometric Functions from Exponential Functions 31:41 - Chapter 5. Properties of Complex Numbers 42:40 - Chapter 6. Polar Form of Complex Numbers 50:04 - Chapter 7. Simple Harmonic Motions 01:03:07 - Chapter 8. Law of Conservation of Energy and Harmonic Motion Due to Torque Complete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses This course was recorded in Fall 2006.
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Channels: Physics (General)
Tags: Cartesian component Euler Newtonian mechanics Pythagorean theorem quantum Taylor series
Uploaded by: yalefunphysics ( Send Message ) on 28-08-2012.
Duration: 73m 39s
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Lec 1 - Course Introduction and Newtonian Mechanics
Lec 2 - Vectors in Multiple Dimensions
Lec 3 - Newton's Laws of Motion
Lec 4 - Newton's Laws (cont.) and Inclined Planes
Lec 5 - Work-Energy Theorem and Law of Conservation of Energy
Lec 6 - Law of Conservation of Energy in Higher Dimensions
Lec 8 - Dynamics of Multiple-Body System and Law of
Lec 9 - Rotations, Part I: Dynamics of Rigid Bodies
Lec 10 - Rotations, Part II: Parallel Axis Theorem
Lec 12 - Introduction to Relativity
Lec 13 - Lorentz Transformation
Lec 14 - Introduction to the Four-Vector
Lec 15 - Four-Vector in Relativity
Lec 17 - Simple Harmonic Motion
Lec 18 - Simple Harmonic Motion (cont.) and Introduction to Waves
Lec 20 - Fluid Dynamics and Statics and Bernoulli's Equation
Lec 22 - The Boltzmann Constant and First Law of Thermodynamics
Lec 23 - The Second Law of Thermodynamics and Carnot's Engine
Lec Last - The Second Law of Thermodynamics (cont.) and Entropy