Concise Modular Calculus 94 97

Explains how the Divergence Theorem is the mathematical manifestation of physical observations about the flux of the ...

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 ...

Explains what

(2/6 on Integration of Multivariable Functions) Introduces Fubini's Theorem as a much needed tool to avoid constant use of ...

Explains how Stokes' Theorem is the mathematical manifestation of the observation that currents are surrounded by ...

Introduces three-dimensional coordinate systems. Shows how to represent points and figures in three dimensions using ...

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

Justifies the chain rule. Computes tangent lines, where a function is increasing or decreasing, graphs a function and solves an ...

Derives the scalar product as the appropriate tool to compute the work done by a constant force along a straight line of travel.

Justifies how a derivative can be found implicitly when we cannot solve for y. Computes tangent lines via implicit differentiation ...

Defines and computes derivatives via difference quotients. Checks tangent line computations graphically. All videos and slides for ...

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

Introduces integration by parts as the reversal of the product rule. Illustrates integration by parts as a process that can be used in ...

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