Concise Modular Calculus 97 97

(5/6 on Integration of Multivariable Functions) Derives the formula for integration in polar coordinates. Explains how to compute ...

Derives Green's Theorem as a two-dimensional version of Stokes' Theorem. Shows how Green's Theorem enables us to use line ...

4/5 on Vector

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

Explains what

4/5 on

(3/6 on Integration of Multivariable Functions) Justifies how the integration over regions other than rectangles is accomplished ...

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

Defines improper integrals near vertical asymptotes. Finishes the discussion of the Gamma function. Introduces convergence tests ...

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

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

Explains how the graph of a multivariable function is analogous to the graph of a function of one variable. Shows how a ...

Introduces the standard equations of a plane (parametric, vector and scalar). Explains how to compute intersections between ...