Concise Modular Calculus 92 97

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

1/5 on Vector

Explains what

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 ...

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

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

Defines improper integrals near vertical asymptotes. Finishes the discussion of the Gamma function. Introduces convergence tests ...

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

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

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

Computes a formula for the derivative of an inverse function. Presents the derivatives of the logarithm function, the inverse sine ...

(1/3 on Multivariable Optimization) Explains that, at the location of a relative maximum or minimum, the gradient of a multivariable ...