This 8-minute video lesson presents an intuition (but not a proof) of the Squeeze Theorem. [Calculus playlist: Lesson 7 of 156]

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.

This series of videos focusing on calculus covers parameterizing a surface, surface integrals, stokes' theorem.

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.

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!

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.

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.

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.

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 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.

Discover what magic we can derive when we take a derivative, which is the slope of the tangent line at any point on a curve.

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 want proof that what we told you is actually true. That's what this tutorial tries to do!

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.

Short Description:
Note: This OpenStax book was imported into Pressbooks on August 20, 2019, to make it easier for instructors to edit, build upon, and remix the content. The OpenStax import process isn't perfect, so there are a number of formatting errors in the book that need attention. As such, we don't recommend you use this book in the classroom. This also means that, while the original version of this book is accessible, this Pressbooks copy is not. For information about how to get your own copy of this book to work on, see the Add Content part in the Pressbooks Guide. You can access the original version of this textbook here: Calculus Volume 1: OpenStax.

Long Description:
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration.

Please note that this title is published under a CC BY-NC-SA 4.0 license, which means that you are free to use and adapt, but not for commercial purposes. Changes you make need to be shared using this license.

Word Count: 204139

(Note: This resource's metadata has been created automatically as part of a bulk import process by reformatting and/or combining the information that the author initially provided. As a result, there may be errors in formatting.)

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

Short Description:
Note: This OpenStax book was imported into Pressbooks on August 7, 2019, to make it easier for instructors to edit, build upon, and remix the content. The OpenStax import process isn't perfect, so there are a number of formatting errors in the book that need attention. As such, we don't recommend you use this book in the classroom. This also means that, while the original version of this book is accessible, this Pressbooks copy is not. For information about how to get your own copy of this book to work on, see the Add Content part in the Pressbooks Guide. You can access the original version of this textbook here: Calculus Volume 2: OpenStax.

Long Description:
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates..

Please note that this title is published under a CC BY-NC-SA 4.0 license, which means that you are free to use and adapt, but not for commercial purposes. Changes you make need to be shared using this license.

Word Count: 11768

(Note: This resource's metadata has been created automatically as part of a bulk import process by reformatting and/or combining the information that the author initially provided. As a result, there may be errors in formatting.)

Short Description:
Note: This OpenStax book was imported into Pressbooks on August 7, 2019, to make it easier for instructors to edit, build upon, and remix the content. The OpenStax import process isn't perfect, so there are a number of formatting errors in the book that need attention. As such, we don't recommend you use this book in the classroom. This also means that, while the original version of this book is accessible, this Pressbooks copy is not. For information about how to get your own copy of this book to work on, see the Add Content part in the Pressbooks Guide. You can access the original version of this textbook here: Calculus Volume 2: OpenStax.

Long Description:
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates..

Please note that this title is published under a CC BY-NC-SA 4.0 license, which means that you are free to use and adapt, but not for commercial purposes. Changes you make need to be shared using this license.

Word Count: 190076

(Note: This resource's metadata has been created automatically as part of a bulk import process by reformatting and/or combining the information that the author initially provided. As a result, there may be errors in formatting.)

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.