Media Summary: 2/2 on Change of Variables & Surface Area) Discusses the multivariable change of variable formula. Explains how to encode a ... Introduces three-dimensional coordinate systems. Shows how to represent points and figures in three dimensions using ... Explains the standard equations (vector, parametric and symmetric) of a line in three-dimensional space. Exhibits situations in ...
Concise Modular Calculus 93 97 - Detailed Analysis & Overview
2/2 on Change of Variables & Surface Area) Discusses the multivariable change of variable formula. Explains how to encode a ... Introduces three-dimensional coordinate systems. Shows how to represent points and figures in three dimensions using ... Explains the standard equations (vector, parametric and symmetric) of a line in three-dimensional space. Exhibits situations in ... Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ... Visually illustrates the typical ways in which limits are used: Divisions by zero, defining derivatives, defining integrals and ... Explains how the graph of a multivariable function is analogous to the graph of a function of one variable. Shows how a ...
1/2 on Change of Variables & Surface Area) Justifies the surface area formula for parametric surfaces. Computes, among other ... Explains how the Divergence Theorem is the mathematical manifestation of physical observations about the flux of the ... Introduces the standard equations of a plane (parametric, vector and scalar). Explains how to compute intersections between ... Explains how vector fields are the appropriate tool to describe the electric, magnetic and gravitational fields as well as flow fields.