Concise Modular Calculus 69 97

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

Explains what

(Alternative 1b/5 on Series) Introduces infinite series as a vehicle to simulate the "summation of infinitely many numbers." Explains ...

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

5/5 on

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

Explains how a parametric surface can be viewed as made up of parametric curves that are induced by a grid on the domain.

Outlines a structured procedure to find absolute minima and maxima of functions. Applies the procedure to discuss why soda cans ...

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 ...

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

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

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