The latest *Math From Scratch* lesson is available here.

# math from scratch

July 1, 2014

## Math From Scratch #45: Introducing Basis Vectors

W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

June 1, 2014

## Math From Scratch #44: Exploring Matrix Polynomials

W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

The latest chapter of *Math From Scratch* can be found here, and introduces the idea of matrix solutions to polynomial equations.

May 1, 2014

## Math From Scratch 43: Introducing Matrices

W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

Our latest installment of *Math From Scratch* includes the introduction to matrices, including their addition, subtraction, multiplication and division.

April 1, 2014

## Math From Scratch Lesson 42: n-tuples, Vectors, and more

W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

The latest chapter of Math From Scratch includes introductions to *n*-tuples, vectors, vector spaces and a quick introduction to inner products.

March 1, 2014

## Math From Scratch, Lesson 41 – “Fundamental Theorem of Algebra”

W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

This month, we introduce, but do not yet prove, the Fundamental Theorem of Algebra. You can read it all here.

February 1, 2014

## Math From Scratch #40: Introducing New Algebras

W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

Now that we can work with complex numbers, we can identify new algebras using these objects while working towards graphing.

January 1, 2014

## Math From Scratch 39: Losing the Axiom of Inequality

W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

The latest chapter of Math From Scratch is ready here, and details the exact justifications for removing the Axiom of Inequality, also known as the well-ordering principle, and then introduce the new axiom that replaces it.

December 1, 2013

## Math From Scratch 38: Solving Quartic Equations

W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

We continue from where we left off last month, and define the roots of quartic polynomials. You can find the latest chapter of Math From Scratch right here.

November 1, 2013

## Math From Scratch 37: Solving Cubic Polynomials

W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

We continue from where we left off last month, and define the roots of cubic polynomials. You can find the latest chapter of Math From Scratch right here.

July 31, 2014

## Math From Scratch Delay

W. Blaine Dowler math from scratch Bureau 42 Teaches

Unfortunately, “Math From Scratch” will be taking an unscheduled break. It will come back, I assure you; I enjoy making it far too much. I tried to go without volume breaks and shouldn’t have; things got suddenly much, much busier at work this month, and I discovered when writing the August entry that there are several assumptions and prerequisites that I missed in my original outline that require restructuring. I hope to have things back on track for October, and I apologize for the delay.