Media Summary: Justifies the antiderivative form of the fundamental theorem of Justifies the power rule and shows how it abbreviates the computation of derivatives. Computes tangent lines, growth behavior ... (Alternative 1b/5 on Series) Introduces infinite series as a vehicle to simulate the "summation of infinitely many numbers." Explains ...
Concise Modular Calc 33 97 - Detailed Analysis & Overview
Justifies the antiderivative form of the fundamental theorem of Justifies the power rule and shows how it abbreviates the computation of derivatives. Computes tangent lines, growth behavior ... (Alternative 1b/5 on Series) Introduces infinite series as a vehicle to simulate the "summation of infinitely many numbers." Explains ... Outlines a structured procedure to find absolute minima and maxima of functions. Applies the procedure to discuss why soda cans ... Discusses improper integrals over infinite intervals. Computes the escape velocity from the Earth. Computes and estimates ... Derives Snell's law of refraction as an application of parameter dependent optimization. All videos and slides for single variable ...
Computes areas under curves and areas between curves with the Fundamental Theorem of Defines absolute extrema and solves optimization problems, including minimization of distances. All videos and slides for single ... Defines improper integrals near vertical asymptotes. Finishes the discussion of the Gamma function. Introduces convergence tests ... 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.