Linear Algebra: DiagonalizationExplores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.
Geometry: Eulerian CircuitsExplores Eulerian circuits through the Königsberg bridges problem, leading to the development of graph theory and topology.
Linear Algebra: Canonical BasisExplores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.