Lecture 1: Why Mathematics is Worth Knowing (Preview Content)

Lecture 2: What is Mathematics?

Lecture 3: Triangle Angle Sum Theorem (Preview Content)

Lecture 4a: Polygonal Tilings

Lecture 4b: Platonic Solids

Lecture 5: Existence of Irrational Numbers

Lecture 6: How Many Irrational Numbers are there?

Lecture 7: The Independence of the Parallel Postulate

Lecture 8: Impossible Constructions

Lecture 9: Three Fundamental Theorems

Lecture 10: Euler's Identity

Lecture 11: Fermat's Last Theorem

Lecture 12: Gödel's Incompleteness Theorems

Lecture 13a: A Handful of Unsolved Problems: The Infinite Depth of Mathematical Mystery

Lecture 13b: A Handful of Unsolved Problems: The Infinite Depth of Mathematical Mystery

End of Course Test: Classical Theorems and Proofs: An Introduction to Elegant Mathematics