Concise Modular Calculus 30 97

Determines partial fraction decomposition as the standard way to integrate rational functions. Computes examples with ...

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

Explains limits at infinity through long term behavior of functions and processes. Shows limit computation at infinity as well as the ...

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

Introduces power series as a way to represent functions. Explains the radius of convergence, the algebra, derivatives and ...

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

Incorporates major concepts of

Explains what

Visually illustrates the typical ways in which limits are used: Divisions by zero, defining derivatives, defining integrals and ...

Justifies the antiderivative form of the fundamental theorem of

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

Introduces the alternating series test and the limit comparison test. Shows how, for the partial sums of certain series, to estimate ...