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Calculus: Position Vector Valued Functions
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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]

Subject:
Calculus & Beyond
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Calculus - Sequences, Series and Function Approximation: Maclaurin and Taylor Series
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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.

Subject:
Calculus & Beyond
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
05/16/2019
Calculus (Student's Edition)
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CK-12 Foundation's Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.

Subject:
Calculus & Beyond
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
10/06/2009
Calculus - Surface Integrals and Stokes' Theorem: Parameterizing a Surface
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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.

Subject:
Calculus & Beyond
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
05/16/2019
Calculus - Surface Integrals and Stokes' Theorem: Proof of Stokes' Theorem
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CC BY-NC-SA
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You know what Stokes' theorem is and how to apply it, but are craving for some real proof that it is true. Well, you've found the right tutorial!

Subject:
Calculus & Beyond
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
05/16/2019
Calculus - Surface Integrals and Stokes' Theorem: Surface Integrals
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CC BY-NC-SA
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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.

Subject:
Calculus & Beyond
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
05/16/2019
Calculus - TI Activities (Student's Edition)
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CC BY-NC-SA
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CK-12's Texas Instrument Calculus Student Edition is a useful companion to a Calculus course, offering extra assignments and opportunities for students to understand course material through their graphing calculator.

Subject:
Calculus & Beyond
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Jordan, Lori
Date Added:
12/15/2010
Calculus - TI Activities (Teacher's Edition)
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CC BY-NC-SA
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CK-12's Texas Instruments Calculus Teacher's Edition is a useful companion to a Calculus course, offering extra assignments and opportunities for students to understand course material through their graphing calculator.

Subject:
Calculus & Beyond
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Jordan, Lori
Date Added:
12/17/2010
Calculus: Taking Derivatives
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CC BY-NC-SA
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This series of videos focusing on calculus covers calculating derivatives, power rule, product and quotient rules, chain rule, implicit differentiation, derivatives of common functions.

Subject:
Calculus & Beyond
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
05/16/2019
Calculus - Taking Derivatives: Chain Rule
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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.

Subject:
Calculus & Beyond
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
05/16/2019
Calculus - Taking Derivatives: Introduction To Differential Calculus
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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.

Subject:
Calculus & Beyond
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
05/16/2019
Calculus - Taking Derivatives: Proofs of Derivatives of Common Functions
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CC BY-NC-SA
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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!

Subject:
Calculus & Beyond
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
05/16/2019
Calculus (Teacher's Edition)
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CC BY-NC-SA
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CK-12 Calculus Teacher's Edition covers tips, common errors, enrichment, differentiated instruction and problem solving for teaching CK-12 Calculus Student Edition. The solution guide is available upon request.

Subject:
Calculus & Beyond
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Dreyfuss, Andrew
Narasimhan, Ramesh
Prolo, Jared
Date Added:
06/24/2011
Highlights in Calculus
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CC BY-NC-SA
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Highlights of Calculus is a series of short videos that introduces the basics of calculus—how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.

Subject:
Calculus & Beyond
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
High School Highlights
Author:
Gilbert Strang
Date Added:
10/22/2019
Multivariable Calculus
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CC BY-NC-SA
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This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.

Subject:
Calculus & Beyond
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
High School Highlights
Author:
Denis Auroux
Date Added:
10/22/2019
Precalculus 1 & 2 with Trigonometry
Unrestricted Use
CC BY
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Precalculus 1 & 2 / Trigonometry provides a study of functions and their graphs, including polynomial, rational, exponential, and logarithmic functions. Additionally, right-triangle trigonometry, trigonometric functions and their applications are covered.

Subject:
Calculus & Beyond
Mathematics
Trigonometry
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
David Lippman
Melonie Rasmussen
Date Added:
06/11/2019