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Brief Calculus
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This short text is designed more for self-study or review than for classroom use; full solutions are given for nearly all the end-of-chapter problems. For a more traditional text designed for classroom use, see Fundamentals of Calculus (http://www.lightandmatter.com/fund/). The focus is mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Numerical examples are given using the open-source computer algebra system Yacas, and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.

Subject:
Calculus
Material Type:
Textbook
Provider:
BCCampus
Provider Set:
BCCampus Open Textbooks
Author:
Benjamin Crowell
Date Added:
10/18/2014
CK-12 The Smarter Way to Learn (K-12 Math, Science & Much More!)
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100% Free, Personalized Learning for Every Student!

*FlexLets that allow you to catch up on math and science classes and give you the essentials
*Great for Math & Science (lessons and interactive activities!) K-12
*Click "Subjects" from the top menu to see what is available
*Spelling & Writing as well
*6 languages

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Material Type:
Activity/Lab
Reading
Date Added:
09/09/2018
Calculus: 2011 Calculus Ab Free Response #1A
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Many of you are planning on taking the Calculus AB advanced placement exam. These are example problems taken directly from previous years' exams. Even if you aren't taking the exam, these are very useful problem for making sure you understand your calculus (as always, best to pause the videos and try them yourself before Sal does).

Subject:
Calculus
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/03/2018
Calculus: 2 D Divergence Theorem
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This video looks at using Green's Theorem to establish a two dimensional version of the divergence Theorem.

Subject:
Calculus
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/28/2012
Calculus: 3-D Divergence Theorem Intuition
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An earlier tutorial used Green's theorem to prove the divergence theorem in 2-D, this tutorial gives us the 3-D version (what most people are talking about when they refer to the "divergence theorem"). We will get an intuition for it (that the flux through a close surface--like a balloon--should be equal to the divergence across it's volume). We will use it in examples. We will prove it in another tutorial.

Subject:
Calculus
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/03/2018
Calculus - AP Practice: BC Sample Questions
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The Calculus BC AP exam is a super set of the AB exam. It covers everything in AB as well as some of the more advanced topics in integration, sequences and function approximation. This tutorial is great practice for anyone looking to test their calculus mettle!

Subject:
Calculus
Material Type:
Activity/Lab
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
10/10/2018
Calculus: Antiderivatives and Indefinite Integrals
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You are very familiar with taking the derivative of a function. Now we are going to go the other way around--if I give you a derivative of a function, can you come up with a possible original function. In other words, we'll be taking the anti-derivative!

Subject:
Calculus
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/03/2018