Concise Modular Calculus 74 97

6/6 on Surfaces in 3-D Space) Visualizes the limiting behavior for functions of two variables. Explains how limits of multivariable ...

Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ...

2/2 on Change of Variables & Surface Area) Discusses the multivariable change of variable formula. Explains how to encode a ...

Explains what

(4/6 on Integration of Multivariable Functions) Justifies how the integration over regions other than boxes is accomplished with ...

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

(1/6 on Integration of Multivariable Functions) Explains that double integrals are a method to compute volumes under graphs of ...

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

Explains limits at a point. Shows graphical, numerical and symbolic examples. Emphasizes computation that does not rely on ...

Introduces continuity graphically, symbolically and numerically. Discusses the four types of discontinuities (removable, jump, ...

Explains limits at infinity through long term behavior of functions and processes. Shows limit computation at infinity as well as the ...

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

Defines sequences as, well, sequences of numbers. Explains how the limit of a sequence governs the sequence's long-term ...