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Cardinality and Countably Infinite Sets

Cardinality is a term used to describe the size of sets. Set A has the same cardinality as set B if a bijection exists between the two sets. We write this as |A| = |B|. One important type of cardinality is called “countably infinite.”

Cryptography: How the Internet We Love Almost Never Existed

Resources -The internet we love almost never existed.

Completing the Square

A brief discussion about what completing the square is and what we use it for. Focuses on using the technique for other reasons than solving equations.

Find the Vertex by Using the Quadratic Formula

The Quadratic Formula is primarily used to identify the roots (\(x\)-intercepts) of a quadratic function

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Modular Arithmetic & Fermat’s Little Theorem

Modular arithmetic is a way of counting in which the numbers wrap around after reaching a certain value.

Algebraic Rings

An algebraic ring is one of the most fundamental algebraic structures. It builds off of the idea of algebraic groups

Algebraic Groups

One of the most fundamental algebraic structures in mathematics is the group. A group is a set of elements

L’Hospital’s Rule

L’Hospital’s Rule is a useful way to evaluate tricky limits. It is most often used for limits of indeterminate form