Concise Modular Calculus 80 97

(6/6 on Integration of Multivariable Functions) Explains the formulas for integration in cylindrical and spherical coordinates. Shows ...

(1/4 on Differentiation of Multivariable Functions) Explains partial derivatives as derivatives of a function's traces. Notes that partial ...

(5/6 on Integration of Multivariable Functions) Derives the formula for integration in polar coordinates. Explains how to compute ...

Explains what

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

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

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

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 ...

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

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

Modular

Reviews polar coordinates. Explains cylindrical and spherical coordinates and how to transform points and equations from these ...