In this tutorial, we will learn to approximate differentiable functions with polynomials. …
In this tutorial, we will learn to approximate differentiable functions with polynomials. Beyond just being super cool, this can be useful for approximating functions so that they are easier to calculate, differentiate or integrate. So whether you will have to write simulations or become a bond trader (bond traders use polynomial approximation to estimate changes in bond prices given interest rate changes and vice versa), this tutorial could be fun. If that isn't motivation enough, we also come up with one of the most epic and powerful conclusions in all of mathematics in this tutorial: Euler's identity.
You can parameterize a line with a position vector valued function and …
You can parameterize a line with a position vector valued function and understand what a differential means in that context already. This tutorial will take things further by parametrizing surfaces (2 parameters baby!) and have us thinking about partial differentials.
Finding line integrals to be a bit boring? Well, this tutorial will …
Finding line integrals to be a bit boring? Well, this tutorial will add new dimension to your life by explore what surface integrals are and how we can calculate them.
This series of videos focusing on calculus covers calculating derivatives, power rule, …
This series of videos focusing on calculus covers calculating derivatives, power rule, product and quotient rules, chain rule, implicit differentiation, derivatives of common functions.
You can take the derivatives of f(x) and g(x), but what about …
You can take the derivatives of f(x) and g(x), but what about f(g(x)) or g(f(x))? The chain rule gives us this ability. Because most complex and hairy functions can be thought of the composition of several simpler ones (ones that you can find derivatives of), you'll be able to take the derivative of almost any function after this tutorial. Just imagine.
The topic that is now known as "calculus" was really called "the …
The topic that is now known as "calculus" was really called "the calculus of differentials" when first devised by Newton (and Leibniz) roughly four hundred years ago. To Newton, differentials were infinitely small "changes" in numbers that previous mathematics didn't know what to do with. Think this has no relevence to you? Well how would you figure out how fast something is going *right* at this moment (you'd have to figure out the very, very small change in distance over an infinitely small change in time)? This tutorial gives a gentle introduction to the world of Newton and Leibniz.
We told you about the derivatives of many functions, but you might …
We told you about the derivatives of many functions, but you might want proof that what we told you is actually true. That's what this tutorial tries to do!
Calligraphy Qallam offers visitors information about the Arabic alphabet, various styles of …
Calligraphy Qallam offers visitors information about the Arabic alphabet, various styles of scripts, and the process and history of calligraphy. It offers tutorial videos which demonstrate the various shapes of the Arabic characters both within one script and between different scripts. There is also a "script quiz" which allows visitors to test their ability to recognize different calligraphic scripts. The site also includes a blog and a forum where topics surrounding calligraphy are discussed.
Es una presentación de Power Point de contenido narrativo acompañado con imágenes …
Es una presentación de Power Point de contenido narrativo acompañado con imágenes que ilustran la informacón.El tema propuesto es el Cambio de Paradigma en la utilización del Barbijo a nivel mundial en contexto de pandemia COVID-19.
This art history video discussion examines Robert Campin's (also called the Master …
This art history video discussion examines Robert Campin's (also called the Master of Flemalle) "Christ and the Virgin," c. 1430-35, oil and gold on panel, 11-1/4 x 17-15/16 inches / 28.6 x 45.6 cm (Philadelphia Museum of Art).
This learning video uses a simple analog setup to explore why earthquakes …
This learning video uses a simple analog setup to explore why earthquakes are so unpredictable. The setup is simple enough that students should be able to assemble and operate it on their own with a teacher's supervision. The teaching approach used in this module is known as the 5E approach, which stands for Engagement, Exploration, Explanation, Elaboration, and Evaluation. Over the course of this lesson, the basic mechanisms that give rise to the behavior of the simple analog system are explained, and further elaboration helps the students to apply their understanding of the analog system to complex fault systems that cause earthquakes
In this course, we will seek to interpret capitalism using ideas from …
In this course, we will seek to interpret capitalism using ideas from biological evolution: firms pursuing varied strategies and facing extinction when those strategies fail are analogous to organisms struggling for survival in nature. For this reason, it is less concerned with ultimate judgment of capitalism than with the ways it can be shaped to fit our more specific objectives for the natural environment, public health, alleviation of poverty, and development of human potential in every child. Each book we read will be explicitly or implicitly an argument about good and bad consequences of capitalism.
This art history video discussion examines Caravaggio's "Calling of St. Matthew," oil …
This art history video discussion examines Caravaggio's "Calling of St. Matthew," oil on canvas, c. 1599-1600 (Contarelli Chapel, San Luigi dei Francesi, Rome).
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