Let's jump out of that boring (okay, it wasn't THAT boring) 2-D …
Let's jump out of that boring (okay, it wasn't THAT boring) 2-D world into the exciting 3-D world that we all live and breath in. Instead of functions of x that can be visualized as lines, we can have functions of x and y that can be visualized as surfaces. But does the idea of a derivative still make sense? Of course it does! As long as you specify what direction you're going in. Welcome to the world of partial derivatives!
This 8-minute video lecture demonstrates how to use a position vector valued …
This 8-minute video lecture demonstrates how to use a position vector valued function to describe a curve or path. [Calculus playlist: Lesson 133 of 156]
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!
Call and response has an important history in traditional West African music, …
Call and response has an important history in traditional West African music, especially in spiritual music and protest movements. Although the specific expression of this practice varies across the diaspora depending on the geographic location and musical lineage of practitioners, there are striking similarities in seemingly disparate locations, like the southern United States, Cuba, and northern Brazil. The preservation of call and response practices within these locations (and many others) suggests the importance of collectivity when healing from systemic oppression.
With this interest in mind, David Diaz invites students to join into this call and response by listening to and producing sounds and/or movements as they are comfortable. In joining a collective, there is also space for individuality, and even dissonance. In that interest, students can recognize the shared histories and practices that the music reveals, as well as the particularities of specific cultures and historical actors.
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.
Today's episode dives into the HOW of enthalpy. How we calculate it, …
Today's episode dives into the HOW of enthalpy. How we calculate it, and how we determine it experimentally...even if our determinations here at Crash Course Chemistry are somewhat shoddy.
Chapters: Hess' Law Calorimeter Calorimetry Specific Heat Capacity Calorimetry Sources of Error
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).
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