PHYS 200 - Fundamentals of Physics I
Lecture 16 - The 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. (from oyc.yale.edu)
| Lecture 16 - The Taylor Series and Other Mathematical Concepts |
| Time | Lecture Chapters |
| [00:00:00] | 1. Derive Taylor Series of a Function |
| [00:14:21] | 2. Examples of Functions with Invalid Taylor Series |
| [00:17:30] | 3. Taylor Series for Popular Functions(cos x, ex, etc.) |
| [00:23:31] | 4. Derive Trigonometric Functions from Exponential Functions |
| [00:31:41] | 5. Properties of Complex Numbers |
| [00:42:40] | 6. Polar Form of Complex Numbers |
| [00:50:04] | 7. Simple Harmonic Motions |
| [01:03:07] | 8. Law of Conservation of Energy and Harmonic Motion Due to Torque |
| References |
| PHYS 200: Lecture 16 - The Taylor Series and Other Mathematical Concepts Instructor: Professor Ramamurti Shankar. Resources: Problem Set 8 and Solutions [pdf]. Transcript [html]. Audio [mp3]. Download Video [mov]. |
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