One topic in basic calculus that you may not have seen before that is that of the Taylor expansion of a function. It is a series that can be used in stead of the actual function around a certain x-value for easier calculations.
From playlist Biomathematics
Free ebook http://tinyurl.com/EngMathYT A lecture showing how to compute Taylor polynomials. Plenty of examples are discussed and solved. Such ideas are used in approximation of functions and are seen in university mathematics.
From playlist A second course in university calculus.
Maclaurin series and applications
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook Basic example on Maclaurin series and some applications. In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's deriv
From playlist A second course in university calculus.
Free ebook http://tinyurl.com/EngMathYT A lecture that introduces Taylor series (and Maclaurin series) and shows how to calculate them. Plenty of examples are discussed and solved. Such ideas are seen in university mathematics.
From playlist A second course in university calculus.
How to Compute a Maclaurin Polynomial
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook What is a Maclaurin polynomial? In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point
From playlist A second course in university calculus.
In this video, I give a very neat and elegant proof of Taylor’s theorem, just to show you how neat math can be! It is simply based on repeated applications of the fundamental theorem of calculus. Enjoy! Note: The thumbnail is taken from https://i.redd.it/kv7lk5kn31e01.jpg
From playlist Calculus
In this video I repeat the look at the Taylor expansion of e to the power x so that you can become familiar with it. Calculating the derivative of the Taylor expansion of e to the power x, just gives you the Taylor expansion of e to the power x!
From playlist Biomathematics
Richard Taylor "Reciprocity Laws" [2012]
Slides for this talk: https://drive.google.com/file/d/1cIDu5G8CTaEctU5qAKTYlEOIHztL1uzB/view?usp=sharing Richard Taylor "Reciprocity Laws" Abstract: Reciprocity laws provide a rule to count the number of solutions to a fixed polynomial equation, or system of polynomial equations, modu
From playlist Number Theory
Contract Law 65 IV Taylor v Caldwell
IV. Contract Performance G. Excuse for Impracticability Taylor v. Caldwell (theater fire) To access case file, copy and paste link into browser - ianayres.com/sites/default/files/files/Taylor%20v_%20Caldwell.docx These video lectures are taken from Prof. Ayres’ Coursera Courses: Americ
From playlist American Contract Law
How Taylor Swift (Legally) Changed Music Forever ft. Rick Beato
⭐️ Get my videos early & ad free (plus my exclusives!) only on Nebula. Save $10 per year! https://legaleagle.link/getnebula ⭐️ Warning: Contains Taylor Swift Puns. 🍋 Use code LEGALEAGLE14 for up to 14 FREE MEALS across your first 5 HelloFresh boxes plus free shipping at https://legaleagl
From playlist Legal Entertainment!
Quid Pro Quo? Taylor and Vindman testify (Real Law Review)
⭐️ Get my videos early & ad free (plus my exclusives!) only on Nebula. Save $10 per year! https://legaleagle.link/getnebula ⭐️ Was there a quid pro quo? What is a quid pro quo? What’s the big deal. Legal Eagles get 2 months of unlimited learning on Skillshare for FREE: https://legaleagl
From playlist Law Review News!
Multivariable Taylor Polynomials
Free ebook http://tinyurl.com/EngMathYT A lecture on how to calculate Taylor polynomials and series for functions of two variables. Such ideas are useful in approximation of functions. We show where the polynomial representation comes from.
From playlist Mathematics for Finance & Actuarial Studies 2
The Assassination of Kentucky Governor, William Goebel
On January 30, 1900, William Goebel was walking to the Old State Capitol in Frankfurt, Kentucky, to meet with the legislature regarding the results of a contested gubernatorial election. As he reached the stairs to the building, a shot rang out. The story of the only sitting governor in U
From playlist History without War
Contract Law 68 V Taylor v Johnston
V. Remedies A. Right to Suspend Performance Taylor v. Johnston (premature breeding cancellation) To access case file, copy and paste link into browser - ianayres.com/sites/default/files/files/Taylor%20v_%20Caldwell.docx These video lectures are taken from Prof. Ayres’ Coursera Courses:
From playlist American Contract Law
Why a Woman was the first to go over the Niagara Falls in a barrel - IT'S HISTORY
Go to https://curiositystream.thld.co/ITSHISTORY_1221 and use code ITSHISTORY to save 25% off today, that’s only $14.99 a year. Thanks to Curiosity Stream for sponsoring today’s video. Niagara Falls is by far one of the most incredible wonders in the world— attracting millions to bask in
From playlist New York History
Second-Order Ordinary Differential Equations: Solving the Harmonic Oscillator Four Ways
Here we introduce the second-order ordinary differential equation (ODEs) for a mass on a spring. In Newton's Second Law, F=ma, the acceleration a is the second derivative of the position x(t), giving a second order differential equation. We solve this equation four ways: 1) by guessing t
From playlist Engineering Math: Differential Equations and Dynamical Systems
MIT RES.TLL-004 Concept Vignettes View the complete course: http://ocw.mit.edu/RES-TLL-004F13 Instructor: Peter Dourmashkin This video leads students through modeling the regular, non-linear pendulum with a differential equation. We explore why solutions to a differential equation are an
From playlist MIT STEM Concept Videos
YOU CAN'T USE EULER'S IDENTITY TO PROVE THE ANGLE SUM IDENTITIES! | Tricky Parts of Calculus, Ep. 4
I give multiple proofs of the angle sum identities sin(x+y) = sin(x)cos(y) + sin(y)cos(x) and cos(x+y) = cos(x)cos(y) - sin(x)sin(y) from different perspectives. I stress that a very common presentation of these formulas based on Euler's identity e^(ix) = cos(x) + i sin(x) is circular and
From playlist Math
Contract Law 66 IV Krell v Henry
IV. Contract Performance G. Excuse for Impracticability Krell v. Henry (frustration) To access case file, copy and paste link into browser - ianayres.com/sites/default/files/files/Krell%20v_%20Henry.docx These video lectures are taken from Prof. Ayres’ Coursera Courses: American Contr
From playlist American Contract Law
12_1_1 Introduction to Taylor Polynomials
An introduction to expand a function into a Taylor polynomial.
From playlist Advanced Calculus / Multivariable Calculus