Concise Modular Calculus 82 97

(2/4 on Differentiation of Multivariable Functions) Derives the multivariable chain rule. Shows how to apply it to compute ...

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

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

Explains what

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

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

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

Explains how to compute probabilities and events with the normal distribution. Introduces standard normal random variables.

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

Congruence in a Modular Arithmetic System