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Related lectures (48)

Green's Function: Theory and Applications Log in to Mediaspace to watch this video

Covers the theory and applications of Green's function in solving differential equations.

Fourier Transform: Concepts and Applications Log in to Mediaspace to watch this video

Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.

Numerical Integration Methods Log in to Mediaspace to watch this video

Explores numerical integration methods and their application in solving differential equations and simulating physical systems.

Differential Equations: Mathematical Complements Log in to Mediaspace to watch this video

Covers the definition of differential equations and their relation to functions and derivatives.

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

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Semi-groups of Contractions Log in to Mediaspace to watch this video

Explores semi-groups of contractions, discussing uniqueness theorems, maximum principles, and the infinitesimal generator.

Linear Differential Equations Log in to Mediaspace to watch this video

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Nonlinear Equations: Convergence and Taylor Polynomials Log in to Mediaspace to watch this video

Explores nonlinear equations, emphasizing convergence and Taylor polynomials for function approximation.

Functions Composition: Continuity & Elements Log in to Mediaspace to watch this video

Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.

Elliptic Partial Differential Equations Log in to Mediaspace to watch this video

Covers the model problem of elliptic PDEs with weak formulation and classical solutions.

Analytical Geometry: Lines Study Log in to Mediaspace to watch this video

Covers the analytical study of lines in a plane, focusing on equations and geometric interpretations.

Iso-parametric Formulation of Quad4 Element Log in to Mediaspace to watch this video

Explains the iso-parametric formulation of the quad4 planar element and the calculation of the stiffness matrix.

Two Phase Flow and Heat Transfer Log in to Mediaspace to watch this video

Covers the fundamentals of two-phase flow and heat transfer phenomena.

Numerical Integration: Trapezoidal Rule Log in to Mediaspace to watch this video

Covers numerical integration methods, focusing on the trapezoidal rule and iterative processes.

Linear Equations: Solving Systems and Matrices Log in to Mediaspace to watch this video

Covers solving linear equations, focusing on systems with zero, one, or infinite solutions, and introduces matrices as a powerful tool for efficient solution.

Local Inversion Theorem Log in to Mediaspace to watch this video

Explores the Local Inversion Theorem and extremum points in functions.

Parametrization by Arc Length Log in to Mediaspace to watch this video

Covers parametrization by arc length for representing curves with continuous differentiability.

Differentiability and Derivatives Log in to Mediaspace to watch this video

Revisits the definition of differentiability and the existence of derivatives for functions in open intervals.

Numerical Analysis: Nonlinear Equations Log in to Mediaspace to watch this video

Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.

Continuum Mechanics: Mass Conservation Log in to Mediaspace to watch this video

Explores mass conservation in continuum mechanics, covering stress, dynamics, constitutive laws, and solid deformation.

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