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Related lectures (51)

Integration by Substitution Log in to Mediaspace to watch this video

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Fourier Inversion Formula Log in to Mediaspace to watch this video

Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.

Harmonic Functions: Properties and Mollification Log in to Mediaspace to watch this video

Covers the properties of harmonic functions and the concept of mollification.

Implicit Functions Theorem Log in to Mediaspace to watch this video

Covers the Implicit Functions Theorem, providing a general understanding of implicit functions.

Existence of y: Proofs and EDO Resolution Log in to Mediaspace to watch this video

Covers the proof of the existence of y and the resolution of EDOs with practical examples.

Approximation by Smooth Functions Log in to Mediaspace to watch this video

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Finite Element Analysis Log in to Mediaspace to watch this video

Covers the fundamentals of finite element analysis, including traction and interpolation functions.

Newton Method: Data Interpolation Log in to Mediaspace to watch this video

Covers the Newton method for finding zeros of functions using data interpolation.

Partial Derivatives and Functions Log in to Mediaspace to watch this video

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Mathematical Notations and Functions in General Physics Log in to Mediaspace to watch this video

Introduces mathematical notations and functions essential for general physics.

Differentiation and Coordinate Changes in Multivariable Functions Log in to Mediaspace to watch this video

Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.

Continuity and Limits Log in to Mediaspace to watch this video

Explores continuity and limits, emphasizing their relationship and practical applications in function analysis.

Uniform Continuity: Definitions and Examples Log in to Mediaspace to watch this video

Explores uniform continuity in functions, covering definitions, examples, and properties.

Taylor Polynomials: Calculating Limits and Derivatives Log in to Mediaspace to watch this video

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.

Calculus of Variations: Ground States in Quantum Mechanics Log in to Mediaspace to watch this video

Covers the Calculus of Variations to find ground states in quantum mechanics by minimizing energy, discussing the Euler Lagrange equation and the Fundamental Theorem of Young Measure Theory.

Taylor Series: Convergence and Applications Log in to Mediaspace to watch this video

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Mock Exam: Solutions to the open question Log in to Mediaspace to watch this video

Explores solutions to an open question from a mock exam, focusing on series convergence and function properties.

Barycentric Coordinates: Interpolation and Basis Functions Log in to Mediaspace to watch this video

Explores barycentric coordinates, interpolation, and basis functions in the context of linear systems.

Introduction to Analysis Log in to Mediaspace to watch this video

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Calculus of Variations: Some Topics Log in to Mediaspace to watch this video

Covers fundamental topics in calculus of variations, including minimizers and the Euler-Lagrange equation.

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