Analyse II 2021: Course Organization

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Related lectures (34)

Green's Functions in Laplace Equations Log in to Mediaspace to watch this video

Covers the concept of Green's functions in Laplace equations and their solution construction process.

Complex Integration and Cauchy's Theorem Log in to Mediaspace to watch this video

Discusses complex integration and Cauchy's theorem, focusing on integrals along curves in the complex plane.

Generalized Integrals: Definition and Applications Log in to Mediaspace to watch this video

Covers the definition and applications of generalized integrals in advanced analysis, including real functions, differential equations, and multiple integrals.

Complex Analysis: Derivatives and Integrals Log in to Mediaspace to watch this video

Provides an overview of complex analysis, focusing on derivatives, integrals, and the Cauchy theorem.

Fields Deriving from a Potential Log in to Mediaspace to watch this video

Explores fields deriving from a potential, emphasizing integral and linear aspects.

Comparison Series and Integrals Log in to Mediaspace to watch this video

Explores the relationship between series and integrals, highlighting convergence criteria and function examples.

Principal Value of an Integral: Examples Log in to Mediaspace to watch this video

Covers examples of principal value of an integral with sin functions and singularities.

Residue Theorem: Cauchy's Integral Formula and Applications Log in to Mediaspace to watch this video

Covers the residue theorem, Cauchy's integral formula, and their applications in complex analysis.

Residue Theorem: Calculating Integrals on Closed Curves Log in to Mediaspace to watch this video

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Matricizations and Alternating Least Squares Log in to Mediaspace to watch this video

Covers matricizations, ALS method, and tensor decomposition, emphasizing the alignment of fibers in matrices.

Magnetostatics: Magnetic Field and Force Log in to Mediaspace to watch this video

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Residue Theorem: Applications in Complex Analysis Log in to Mediaspace to watch this video

Discusses the residue theorem and its applications in calculating complex integrals.

Boundary Conditions for D and E: Capacitance and Dielectrics Log in to Mediaspace to watch this video

Explores boundary conditions for D and E at material interfaces and in capacitors, emphasizing the impact of dielectrics.

Analysis 2: Horizontal Domains and Integrals Log in to Mediaspace to watch this video

Explores horizontal domains in R², integrals, and center of mass calculations in different mass distributions.

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