This 13-minute video lesson provides an introduction to the Epsilon Delta Definition of a Limit.
- Author:
- Khan, Salman
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This 11-minute video lesson demonstrates how to use the epsilon delta definition to prove a limit.
- Author:
- Khan, Salman
This 8-minute video lesson looks at finding the equation of the line tangent to f(x)=xe^x when x=1.
- Author:
- Khan, Salman
This video looks at understanding the properties of the remainder or error function for an Nth degree Taylor approximation of a function.
- Author:
- Khan, Salman
This 12-minute video lesson looks at the rationale for Euler's Formula and Euler's Identity.
- Author:
- Khan, Salman
This video looks at evaluating the definite integral set up using the shell method.
- Author:
- Khan, Salman
This video looks at evaluating integral set up in the last video using washer method.
- Author:
- Khan, Salman
This video looks at showing that we didn't need to use stokes' Theorem to evaluate this line integral.
- Author:
- Khan, Salman
This video looks at Finishing up the line integral with a little trigonometric integration.
- Author:
- Khan, Salman
This video looks at evaluating simple definite integral.
- Author:
- Khan, Salman
This 10-minute video lesson provides even more examples using the chain rule.
- Author:
- Khan, Salman
This 11-minute video lesson provides an example of calculating a surface integral (part 1).
- Author:
- Khan, Salman
This 10-minute video lesson provides an example of calculating a surface integral (part 2).
- Author:
- Khan, Salman
This 10-minute video lesson provides an example of calculating a surface integral (part 3).
- Author:
- Khan, Salman
This 11-minute video lesson provides an example of taking a closed line integral of a conservative field.
- Author:
- Khan, Salman
This video looks at the expression for combined area of triangle and square.
- Author:
- Khan, Salman
This 23-minute video looks at a difficult but interesting derivative word problem
- Author:
- Khan, Salman
This video looks at Falling ladder related rates.
- Author:
- Khan, Salman
This video looks at Finding slope of tangent line with implicit differentiation.
- Author:
- Khan, Salman
You get the general idea that taking a definite integral of a function is related to evaluating the antiderivative, but where did this connection come from. This tutorial focuses on the fundamental theorem of calculus which ties the ideas of integration and differentiation together. We'll explain what it is, give a proof and then show examples of taking derivatives of integrals where the Fundamental Theorem is directly applicable.
- Author:
- Khan, Salman