Properties of X/GExplores the properties of the quotient space X/G when X is compact and sometimes separated.
Functions and IntegersCovers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.
Surfaces: The TorusExplores the definition of surfaces, focusing on the torus and its construction through various examples and morphic images.
Implicit Function TheoremCovers the Implicit Function Theorem for functions of two variables and explores graphical representations and tangent lines.
Implicit Functions TheoremExplores the Implicit Functions Theorem, demonstrating how to find solutions to equations like x²+y²=1 through implicit differentiation and function properties.