Media Summary: Introduces continuity graphically, symbolically and numerically. Discusses the four types of discontinuities (removable, jump, ... Shows how higher derivatives can be used to obtain more subtle information about a function than what the first derivative ... Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ...
Concise Modular Calculus 5 97 - Detailed Analysis & Overview
Introduces continuity graphically, symbolically and numerically. Discusses the four types of discontinuities (removable, jump, ... Shows how higher derivatives can be used to obtain more subtle information about a function than what the first derivative ... Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ... 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. Sketches the graph of a normal distribution with mean mu and standard deviation sigma. Note: Sigma is positive throughout.
Outlines a structured procedure to find absolute minima and maxima of functions. Applies the procedure to discuss why soda cans ... Defines and computes derivatives via difference quotients. Checks tangent line computations graphically. All videos and slides for ... Derives Snell's law of refraction as an application of parameter dependent optimization. All videos and slides for single variable ... Derives Green's Theorem as a two-dimensional version of Stokes' Theorem. Shows how Green's Theorem enables us to use line ...