Concise Modular Calculus 77 97

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

(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

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

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

Explains the standard equations (vector, parametric and symmetric) of a line in three-dimensional space. Exhibits situations in ...

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

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

(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 ...

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