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Covers the concept of graph sketching with a focus on connected components.
Semi-Definite Programming
Covers semi-definite programming and optimization over positive semidefinite cones.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Markov Chains and Applications
Explores Markov chains and their applications in algorithms, focusing on user impatience and faithful sample generation.
Green's Theorem in 2D: Applications
Explores the applications of Green's Theorem in 2D, emphasizing the importance of regular domains for successful integration.
Divergence Theorem: Flux Analysis in Closed Volumes
Explores the analysis of flux through closed volumes, emphasizing the cancellation of internal fluxes and the simplification of calculations.
Dynamics of Discrete Systems
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Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.

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