How to Think Algebra

Lecture Number	Part I	Part II	Part III
1	Number Systems I	Real Numbers I	Complex Numbers I
2	Number Systems II	Real Numbers II	Complex Numbers II
3	Abstraction and Magic Tricks	Real Numbers III	Complex Numbers III
4	Linear Equations I	Logarithms, Exponentials, Square Roots I	Sequences I
5	Linear Equations II	Logarithms, Exponentials, Square Roots II	Sequences II
6	Linear Equations and Coordinates III	Logarithms, Exponentials, Square Roots III	Power Series
7	Linear Equations and Coordinates IV	Polynomials I	Functions I
8	Data Analysis I	Polynomials II	Functions II
9	Data Analysis II	Polynomial III	Functions III
10	Basic Progressions I	Quadratics and Coordinates	Optimisation I
11	Basic Progressions II	Inequalities I	Optimisation II
12	Modular Arithmetic I	Inequalities II	Linear Algebra I
13	Modular Arithmetic II	Systems of Equations I	Linear Algebra II
14	Polynomials I	Systems of Equations II	Linear Algebra III
15	Polynomials II	Clever Substitutions I	Finite Groups and Combinatorics I
16	Quadratic Formula	Clever Substitutions II	Finite Groups and Combinatorics II