Concise Modular Calculus 13 97

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

Concise Modular Calculus 13 97 - Detailed Overview & Context

Justifies the power rule and shows how it abbreviates the computation of derivatives. Computes tangent lines, growth behavior ... 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 ... 6/6 on Surfaces in 3-D Space) Visualizes the limiting behavior for functions of two variables. Explains how limits of multivariable ... (1/4 on Differentiation of Multivariable Functions) Explains partial derivatives as derivatives of a function's traces. Notes that partial ... Computes areas under curves and areas between curves with the Fundamental Theorem of

Explains how to compute probabilities and events with the uniform distribution. All videos and slides for single variable Introduces the alternating series test and the limit comparison test. Shows how, for the partial sums of certain series, to estimate ... Introduces cumulative distribution functions as a tool to compute probabilities. Explains specifically how to use a standard normal ... (2/6 on Integration of Multivariable Functions) Introduces Fubini's Theorem as a much needed tool to avoid constant use of ... 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 ... Introduces three-dimensional coordinate systems. Shows how to represent points and figures in three dimensions using ...

Introduces the standard equations of a plane (parametric, vector and scalar). Explains how to compute intersections between ... Explains the comparison test and the ratio test. Presentation deliberately kept short to allow quick transition to power series. Illustrates the influence of probability in discrete games of chance. Introduces the ideas for probability functions and expected ... 2/2 on Change of Variables & Surface Area) Discusses the multivariable change of variable formula. Explains how to encode a ...