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Related lectures (30)
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Analyse IV: Laurent Series and Singularities
Covers Laurent series, singularities, and meromorphic functions, addressing convergence, holomorphicity, and residue theorem applications.
Trigonometric Equations: Sinus and Cosinus
Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.
Classification of PDEs: Linear, Semi-linear, Quasi-linear
Explores the classification of PDEs into linear, semi-linear, and quasi-linear types, emphasizing the properties of their solutions.
Algebraic Operations and Parity Functions
Covers algebraic operations and parity functions, emphasizing even and odd functions in a symmetric domain.
Fourier Series: Convergence and Dirichlet Theorem
Covers Fourier series convergence, Dirichlet theorem, and applications in signal processing.
Residues and Singularities
Covers the calculation of residues, types of singularities, and applications of the residue theorem in complex analysis.
Laurent Series: Definition and Properties
Covers the definition and properties of Laurent series, including convergence and function expansion.
Elliptic Partial Differential Equations
Covers the model problem of elliptic PDEs with weak formulation and classical solutions.
Calculus of Variations and Euler's Elastica
Explores the calculus of variations and Euler's Elastica in the context of beam equilibrium and inextensible elastic curves under large rotations.
Shor Algorithm: Quantum Factorization
Explores the Shor algorithm for quantum factorization and its application in finding function periods.