Media Summary: Explains how the graph of a multivariable function is analogous to the graph of a function of one variable. Shows how a ... Visually illustrates the typical ways in which limits are used: Divisions by zero, defining derivatives, defining integrals and ... Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ...
Concise Modular Calculus 68 97 - Detailed Analysis & Overview
Explains how the graph of a multivariable function is analogous to the graph of a function of one variable. Shows how a ... Visually illustrates the typical ways in which limits are used: Divisions by zero, defining derivatives, defining integrals and ... Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ... Introduces three-dimensional coordinate systems. Shows how to represent points and figures in three dimensions using ... Justifies how a derivative can be found implicitly when we cannot solve for y. Computes tangent lines via implicit differentiation ... Explains limits at a point. Shows graphical, numerical and symbolic examples. Emphasizes computation that does not rely on ...
(1/4 on Differentiation of Multivariable Functions) Explains partial derivatives as derivatives of a function's traces. Notes that partial ... Derives the scalar product as the appropriate tool to compute the work done by a constant force along a straight line of travel. Explains how to compute probabilities and events with the exponential distribution. All videos and slides for single variable ... Explains how a parametric surface can be viewed as made up of parametric curves that are induced by a grid on the domain.