Math From Scratch

We start to lay down the requirements of basis vectors.

We play with matrices and polynomials, looking for solutions to polynomials equations that come in matrix form.

Preliminary work with a two dimensional analogue for vectors.

Moving beyond the constraints of the number line.

Conceptually introducing, though not yet proving, the Fundamental Theorem of Algebra.

Examining the real number axioms and rejecting one of the list.

Examining the real number axioms and rejecting one of the list.

Finding the roots of quartic polynomials

Finding the roots of cubic polynomials

Finding the roots of linear and quadratic polynomials

Covering the rigorous definition of traditional polynomials

Covering the key elements of the order of algebraic operations and isolating variables

Defining three basic, critical and frequently neglected terms in algebra.

Defining the real numbers.

Defining limits and leading into complete sets.