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Fourier Series: Theory and Comparison
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Active Learning: Group Theory
Explores adjoint functors, points fixes, orbits, and non-trivial actions in group theory.
Equivalences of Categories
Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.
Fourier Transform: Concepts and Applications
Covers the Fourier transform, its properties, and applications in signal processing and differential equations, demonstrating its importance in mathematical analysis.
Dirichlet Theorem: Complex Fourier Coefficients
Covers the Dirichlet theorem and complex Fourier coefficients for periodic functions.
Homotopical Algebra
Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.
The Role of Symmetries
Delves into symmetries in physics, covering group theory, perturbation, and quantification.
Fourier Transform: Solution of Mock Exam
Covers the solution of a mock exam for Analysis III, focusing on Fourier coefficients and vector fields.
Covalent Bonding: Orbital Stability
Explores covalent bonding stability and orbital properties in molecules like H₂ and He.
Group Theory: Adjoint Functors and G-sets
Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.
Scaling & Renormalization in Statistical Mechanics
Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.
