 ยง  Read  Use / Do 
 1 
The Arithmetic of Braids

Exercises  The Arithmetic of Braids

 2 
Combing Braids

MORE CONTENT AND LINKS WILL BE ADDED DAILY  SO CHECK BACK ON THIS PAGE FREQUENTLY

 3 
The Arithmetic of Permutations

Exercises  The Arithmetic of Permutations

 4 
Powers, Exponents, and their Dependencies

Exercises  Powers, Exponents, and their Dependencies

 5 
Roots  A Story of Two Notations

Exercises  Roots  A Story of Two Notations

 6 
The Triangle of Power and Logarithms

Exercises  The Triangle of Power and Logarithms
Exercises  Review Set A

 7 
Functions and Mapping Diagrams/Transformation Figures

Exercises  Functions

 8 
Alternate Bases and Polynomials

Exercises  Alternate Bases and Polynomials

 9 
Factoring, the Binomial Theorem, and Eisenstein's Criterion

Exercises  Factoring, the Binomial Theorem, and Eisenstein's Criterion

 10 
Developing an Algorithm to Divide Polynomials

Exercises  Developing an Algorithm to Divide Polynomials

 11 
Clocks, Groups, and Commutative Rings

Exercises  Clocks, Groups, and Commutative Rings

 12 
The Field of Rational Expressions

Exercises  The Field of Rational Expressions

 13 
Extending Fields and Related Root Tricks

Exercises  Extending Fields and Related Root Tricks

 14 
Roots of Polynomials, the ZeroProduct Property, and Sign Analysis

Exercises  Roots of Polynomials, the ZeroProduct Property, and Sign Analysis

 15 
Graphs of Simple Functions, their Inverses, and Compositions

Exercises  Graphs of Simple Functions, their Inverses, and Compositions

 16 
The Socks and Shoes Principle

Exercises  The Socks and Shoes Principle

 17 
Equivalent Equations

 18 
Piecewise vs. Linear Functions & Mobius Transformations

 19 
Quadratic Equations, PenSho, and Depressed Terms

 20 
Vieta's Formulas

 21 
Another Extended Field: The Complex Numbers

 22 
Complex Numbers Birth Trigonometry!

 23 
Solving the General Cubic Equation

 24 
Solving the General Quartic Equation

 25 
The Fundamental Theorem of Algebra

 26 
Abel's Impossibility Theorem

 27 
Why is $e=2.71828$ a Natural Choice?

 28 
Series Expansions for Transcendental Functions

 29 
Hyperbolic Trigonometry and the Natural Log
