Operations on LimitsExplores algebraic operations on limits of sequences and discusses the uniqueness of limits and properties of convergent and divergent sequences.
Hyperbolic GeometryIntroduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Convergence and Cauchy SequencesExplores convergence and Cauchy sequences, including the Bolzano-Weierstrass theorem and the properties of convergent sequences.
Cauchy-Folgen: InductionCovers Cauchy sequences, induction, recursive sequences, and convergence in mathematical analysis.
Cauchy SequencesExplores Cauchy sequences in real numbers, convergence criteria, and limit definitions.