This 11-minute video lesson examines intuition of the gradient of a scalar field (temperature in a room) in 3 dimensions.
This 21-minute video lesson looks at Graphing functions using derivatives.
This 11-minute video lesson uses Green's Theorem to solve a line integral of a vector field.
This 7-minute video lesson provides Another example of applying Green's Theorem.
This 14-minute video lesson provides part 1 of the proof of Green's Theorem.
This 19-minute video lesson provides part 2 of the proof of Green's Theorem.
This video looks at seeing that Green's Theorem is just a special case of stokes' Theorem.
This video looks at identifying minima and maxima for x^3 - 12x - 5.
This video looks at the implicit derivative of e^(xy^2) = x - y.
This video looks at the implicit derivative of y = cos(5x - 3y).
This video looks at the implicit derivative of (x^2+y^2)^3 = 5x^2y^2.
This video looks at the implicit derivative of (x-y)^2 = x + y + 1.
Like people, mathematical relations are not always explicit about their intentions. In this tutorial, we'll be able to take the derivative of one variable with respect to another even when they are implicitly defined (like "x^2 + y^2 = 1").
This video looks at the improper integral with two infinite bounds.
This video looks at the indefinite integrals of x raised to a power.
This series of videos focusing on calculus covers indefinite integral as anti-derivative, definite integral as area under a curve, integration by parts, u-substitution, trig substitution.
This video covers inflection points.
This video covers integral of ln x.
This 8-minute video lessons gives an example of using trig substitution to solve an indefinite integral.
This 8-minute video lesson looks at another example of finding an anti-derivative using trigonometric substitution.