Logo TIB AV-Portal Logo TIB AV-Portal

16. The Taylor Series and Other Mathematical Concepts

Video in TIB AV-Portal: 16. The Taylor Series and Other Mathematical Concepts

Formal Metadata

Title
16. The Taylor Series and Other Mathematical Concepts
Title of Series
Part Number
16
Number of Parts
24
Author
License
CC Attribution - NonCommercial - ShareAlike 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor and the work or content is shared also in adapted form only under the conditions of this license.
Identifiers
Publisher
Release Date
2006
Language
English

Content Metadata

Subject Area
Abstract
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
Camera lens
Antenna diversity Scouting Measurement
Feedback