This site offers the opportunity for high school students to enter an algebra problem to see how it is best solved.
- Subject:
- Math
- Calculus
- Pre-Calculus
- Material Type:
- Activity/Lab
- Homework/Assignment
- Author:
- Mathway
- Date Added:
- 03/27/2020
377 Results
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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
Unrestricted Use
Public Domain
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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
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CC BY-NC-SA
This video covers integration to find average value of a function. using a graphing calculator to calculate definite integrals.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/09/2011
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CC BY-NC-SA
This video looks at approximating rate of change and total area under a curve. Trapezoidal sums to approximate integrals.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/08/2011
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CC BY-NC-SA
This video looks at the second fundamental theorem of calculus application.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/08/2011
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CC BY-NC-SA
This video looks at the equation of a tangent line and area between curves.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/08/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
This video looks at disk method to find the volume of a solid generated by rotation of a function.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/08/2011
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CC BY-NC-SA
This video looks at Taking derivatives and integrals of strangely defined functions.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/09/2011
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CC BY-NC-SA
This video looks at the absolute maximum over an interval. critical points and differentiability.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/09/2011
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CC BY-NC-SA
This video looks at Finding the points of inflection for a strangely defined function.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/09/2011
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CC BY-NC-SA
This video looks at the mean Value Theorem and differentiability.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/10/2011
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CC BY-NC-SA
This video looks at using a tangent line to extrapolate a function from a known initial condition.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/10/2011
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CC BY-NC-SA
This video looks at using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/10/2011
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CC BY-NC-SA
This video looks at solving a differential equation using separation of variables.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/10/2011
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CC BY-NC-SA
This video looks at the continuity of piecewise-defined functions.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/13/2011
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CC BY-NC-SA
This video looks at the derivative of a piecewise-defined function.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/13/2011
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This video looks at the average value of a piecewise-defined function on an interval.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/13/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
This video looks at the Velocity and acceleration vectors for particle.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/13/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
This video looks at the Position and slope of particle's path at a given time.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/13/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
This video looks at the arc length for a curve.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/14/2011
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CC BY-NC-SA
This video looks at the arc length of a function.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/14/2011
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CC BY-NC-SA
This video looks at the Volume of a solid of rotation and chain Rule for rates of change.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/14/2011
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CC BY-NC-SA
This video looks at the Taylor series approximation of sin(x).
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/14/2011
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CC BY-NC-SA
This video looks at the Taylor series for cos x at x=0.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/15/2011
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This video looks at calculating the 6th derivative at 0 from the Taylor series approximation.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/15/2011
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CC BY-NC-SA
This video looks at the Lagrange error bound for Taylor Polynomial approximation.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 09/16/2011
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CC BY-NC-SA
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
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CC BY-NC-SA
This 9-minute video lesson gives an antiderivative example.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 02/20/2011
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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
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This series of videos focusing on calculus covers sample questions from the A.P, Calculus AB and AC exams (both multiple choice and free answer).
- Subject:
- Calculus
- Material Type:
- Activity/Lab
- Provider:
- Khan Academy
- Provider Set:
- Khan Academy
- Date Added:
- 10/10/2018
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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
Conditional Remix & Share Permitted
CC BY-NC-SA
This video looks at another substitution with x=sin (theta).
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 02/12/2013
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Tnis 6-minute video lesson examines finding the antiderivative using u-substitution.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 02/20/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
This video looks at the antiderivative of hairier expression.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 01/28/2013
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CC BY-NC-SA
This video looks at the antiderivative of x^-1.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 01/28/2013
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CC BY-NC-SA
This video looks at the antiderivative of xcosx using integration by parts.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 01/28/2013
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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
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CC BY-NC-SA
This 9-minute video lectures covers Part 1a of the 2008 BC free response.
- Subject:
- Calculus
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 02/20/2011