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Calculus: Simple Riemann Approximation Using Rectangles
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In this tutorial, we'll think about how we can find the area under a curve. We'll first approximate this with rectangles (and trapezoids)--generally called Riemann sums. We'll then think about find the exact area by having the number of rectangles approach infinity (they'll have infinitesimal widths) which we'll use the definite integral to denote.

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/03/2018
Calculus: Slope and Slope of a Tangent Line
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This 16-minute video lesson covers the Calculus-Derivative: Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line).

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Calculus: Squeeze Theorem
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If a function is always smaller than one function and always greater than another (i.e. it is always between them), then if the upper and lower function converge to a limit at a point, then so does the one in between. Not only is this useful for proving certain tricky limits (we use it to prove lim (x Œ_ 0) of (sin x)/x, but it is a useful metaphor to use in life (seriously). :) This tutorial is useful but optional. It is covered in most calculus courses, but it is not necessary to progress on to the "Introduction to derivatives" tutorial.

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/03/2018
Calculus: Stokes' Theorem Intuition
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CC BY-NC-SA
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Stokes' theorem relates the line integral around a surface to the curl on the surface. This tutorial explores the intuition behind Stokes' theorem, how it is an extension of Green's theorem to surfaces (as opposed to just regions) and gives some examples using it. We prove Stokes' theorem in another tutorial. Good to come to this tutorial having experienced the tutorial on "flux in 3D".

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/03/2018
Calculus: Stokes' Theorem Proof Part 1
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CC BY-NC-SA
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This video covers The beginning of a proof of stokes' theorem for a special class of surfaces. Finding the curl of our vector field.

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
12/29/2012