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	§	Read	Use / Do
	1	The Arithmetic of Braids Combing Braids	Exercises - The Arithmetic of Braids
	2	The Arithmetic of Permutations (and Commutators)	Exercises - The Arithmetic of Permutations
	3	Powers, Exponents, and their Dependencies	Exercises - Powers, Exponents, and their Dependencies
	4	Roots - A Story of Two Notations	Exercises - Roots - A Story of Two Notations
	5	The Triangle of Power and Logarithms	Exercises - The Triangle of Power and Logarithms Exercises - Review Set A
	6	Functions and Mapping Diagrams/Transformation Figures	Exercises - Functions
	7	Alternate Bases and Polynomials	Exercises - Alternate Bases and Polynomials
	8	The Binomial Theorem Factoring and Eisenstein's Criterion	Exercises - Factoring, the Binomial Theorem, and Eisenstein's Criterion
	9	Developing an Algorithm to Divide Polynomials The Remainder, Factor, and Rational Roots Theorems	Exercises - Developing an Algorithm to Divide Polynomials
	10	Clocks, Groups, and Commutative Rings	Exercises - Clocks, Groups, and Commutative Rings
	11	The Field of Rational Expressions	Exercises - The Field of Rational Expressions
	12	Extending Fields and Related Root Tricks	Exercises - Extending Fields and Related Root Tricks
	13	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
	14	Graphs of Simple Functions, their Inverses, and Compositions	Exercises - Graphs of Simple Functions, their Inverses, and Compositions
	15	The Socks and Shoes Principle	Exercises - The Socks and Shoes Principle Exercises - Graphing With Transformations
	16	Equivalent Equations	Exercises - Equivalent Equations Exercises - Solving Equations (Mixed Review)
	17	Piecewise-Defined Functions Relations and Lambert's W Function Linear Functions & Mobius Transformations	Exercises - Piecewise-Defined Functions Exercises - Relations and Lambert's W Function Exercises - Linear Functions & Mobius Transformations
	18	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 Exercises - Solving Equations (Mixed Review 2)
	19	Another Extended Field: The Complex Numbers	Exercises - Another Extended Field: The Complex Numbers
	20	Measuring Angles of Rotation in a Dimensionless Way Complex Numbers Birth the Trigonometric Functions! Trigonometric Identities & More Complex Connections Graphing Trigonometric Functions and Their Inverses	Exercises - Measuring Angles of Rotation Exercises - Evaluating Trigonometric Functions Exercises - Trigonometric Identities Exercises - Inverse Trigonometric Functions Exercises - Graphing Trigonometric Functions Exercises - Solving Trigonometric Equations Exercises - Review of Trigonometry
	21	Solving the General Cubic Equation How Imaginary Numbers were Invented (Source: Veritasium)
	22	Solving the General Quartic Equation
	23	The Fundamental Theorem of Algebra
	24	The "Natural" Base and Hyperbolic Trigonometry
	25	Abel's Impossibility Theorem