This 7-minute video lesson looks at the proof that d/dx(x^n) = n*x^(n-1).
- Author:
- Khan, Salman
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This 18-minute video lesson uses the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1.
- Author:
- Khan, Salman
This video looks at the Proof of Fundamental Theorem of calculus.
- Author:
- Khan, Salman
This video looks at the Proof of special case of L'Hopital's Rule.
- Author:
- Khan, Salman
This 12-minute video lesson does both proofs in the same video to clarify any misconceptions that the original proof was \circular\.
- Author:
- Khan, Salman
This video covers Proving a limit using epsilon-delta definition.
- Author:
- Khan, Salman
This 10-minute video lesson considers why the quotient rule is the same thing as the product rule. As well as an introduction to the derivative of e^x, ln x, sin x, cos x, and tan x.
- Author:
- Khan, Salman
This video looks at the Quotient rule for derivative of tan x.
- Author:
- Khan, Salman
This video looks at the Quotient rule from product rule.
- Author:
- Khan, Salman
This video looks at the Rate of change of balloon height.
- Author:
- Khan, Salman
This video looks at the Rate of change of distance between approaching cars.
- Author:
- Khan, Salman
Solving rate-of-change problems using calculus.
This video looks at the Rectangular and trapezoidal Riemann approximations.
- Author:
- Khan, Salman
This video looks at Related rates of water pouring into cone.
- Author:
- Khan, Salman
Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course. The series was first released in 1970 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time.
- Author:
- Gross, Herbert
Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Multivariable Calculus is the second course in the series, consisting of 26 videos, 4 Study Guides, and a set of Supplementary Notes. The series was first released in 1971 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time.
- Author:
- Herbert Gross
Until now, we have been viewing integrals as anti-derivatives. Now we explore them as the area under a curve between two boundaries (we will now construct definite integrals by defining the boundaries). This is the real meat of integral calculus!
- Author:
- Khan, Salman
This 16-minute video shows that the line integral of a scalar field is independent of path direction.
- Author:
- Khan, Salman
This 10-minute video lesson provides a second example of using path independence of a conservative vector field to solve a line integral.
- Author:
- Khan, Salman
This 10-minute video lesson provides an introduction to the arithmetic and geometric series.
- Author:
- Khan, Salman