Concise Modular Calculus 20 97

Computes a formula for the derivative of an inverse function. Presents the derivatives of the logarithm function, the inverse sine ...

Derives Snell's law of refraction as an application of parameter dependent optimization. All videos and slides for single variable ...

Incorporates major concepts of

Sketches the graph of a normal distribution with mean mu and standard deviation sigma. Note: Sigma is positive throughout.

Justifies the power rule and shows how it abbreviates the computation of derivatives. Computes tangent lines, growth behavior ...

Justifies l'Hospital's rule graphically. Computes limits of indeterminate forms that are quotients, products, differences and powers.

3/5 on

Introduces definite integrals as limits of Riemann sums. Shows how definite integrals are used to compute areas, displacements ...

Justifies how a derivative can be found implicitly when we cannot solve for y. Computes tangent lines via implicit differentiation ...

Outlines a structured procedure to find absolute minima and maxima of functions. Applies the procedure to discuss why soda cans ...

Explains what

4/5 on

Shows how integrals are used to compute the work that is required to lift a mass to the international space station, the work that is ...