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	§	Read	Use / Do
	1	The Arithmetic of Braids	Exercises - The Arithmetic of Braids
	2	Combing Braids
	3	The Arithmetic of Permutations (and Commutators)	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 Zero-Product Property, and Sign Analysis	Exercises - Roots of Polynomials, the Zero-Product Property, and Sign Analysis Exercises - Review Set B
	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	Exercises - Equivalent Equations
	18	Restricting Relations & Piecewise-Defined Functions Linear Functions & Mobius Transformations	Exercises - Restricting Relations & Piecewise-Defined Functions Exercises - Linear Functions & Mobius Transformations
	19	Quadratic Equations, Po-Shen Loh's Method, Depressed Terms, and Viete's Formulas	Exercises - Quadratic Equations, Po-Shen Loh's Method, Depressed Terms, and Viete's Formulas
	20	Another Extended Field: The Complex Numbers	Exercises - Another Extended Field: The Complex Numbers
	21	Complex Numbers Birth Trigonometry!	Exercises - Trigonometry Exercises - Review of Trigonometry
	22	Solving the General Cubic Equation How Imaginary Numbers were Invented (Source: Veritasium)
	23	Solving the General Quartic Equation
	24	The Fundamental Theorem of Algebra
	25	The "Natural" Base and Hyperbolic Trigonometry	Exercises - The "Natural" Base
	26	Abel's Impossibility Theorem