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The Series Finale of Online Education: Coursera Acquires Udemy

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Mathematical Analysis
Calculus of Variation

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Master advanced optimization techniques for physics, engineering, and mathematical analysis through variational principles and functional inequalities. Access specialized lectures from IPAM, UCLA, and leading mathematics institutes on YouTube, covering conservation laws, stability theory, and geometric optimization problems.

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Institute for Pure & Applied Mathematics (IPAM)
Calculus of Variations in Probability and Geometry

Explore advanced mathematical techniques connecting calculus of variations, probability theory, and geometric inequalities through expert lectures on isoperimetric problems and applications.
- YouTube
- 11 hours 14 minutes
- On-Demand
- Free Video
Hausdorff Center for Mathematics
Regularity of Free Boundaries in Obstacle Problems - Lecture IV

Explore advanced concepts in free boundary problems, focusing on regularity in obstacle problems. Learn key results, current research, and open challenges in this mathematical field.
- YouTube
- 54 minutes
- On-Demand
- Free Video
Institute for Pure & Applied Mathematics (IPAM)
Variational Proofs of Isoperimetric Inequalities

Explore variational proofs of isoperimetric inequalities, their generalizations, and open problems in this advanced mathematics lecture by Steven Heilman at IPAM's workshop.
- YouTube
- 31 minutes
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- Free Video
Institute for Pure & Applied Mathematics (IPAM)
Eigenvalue Estimates for P-Laplace Problems & Domains in Fermi Coordinates

Explore explicit and sharp eigenvalue estimates for Neumann p-Laplace eigenvalues in domains represented in Fermi coordinates, presented by Barbara Brandolini at IPAM's Calculus of Variations workshop.
- YouTube
- 26 minutes
- On-Demand
- Free Video
Institute for Pure & Applied Mathematics (IPAM)
On Ulam's Problem 19 and Related Problems - IPAM at UCLA

Explore uniqueness problems related to Ulam's Problem 19 from the Scottish book, presented by Dima Ryabogin at IPAM's Calculus of Variations workshop.
- YouTube
- 26 minutes
- On-Demand
- Free Video
Institute for Pure & Applied Mathematics (IPAM)
On a Conjectural Symmetric Version of the Ehrhard Inequality

Explores a conjectural symmetric version of Ehrhard's inequality for Gaussian measures, discussing minimizers, equality cases, and connections to Brascamp-Leib inequality on convex sets.
- YouTube
- 24 minutes
- On-Demand
- Free Video
Institute for Pure & Applied Mathematics (IPAM)
Singularities and Diffeomorphism - IPAM at UCLA

Explore singularities and diffeomorphism in calculus of variations, covering special cases, classification, and applications in probability and geometry.
- YouTube
- 32 minutes
- On-Demand
- Free Video
BIMSA
Optimal Immersions in the Calculus of Variations of Surfaces

Explore innovative minmax techniques for optimal surface immersions, including recent progress on Yau, Willmore, and 16π conjectures in calculus of variations.
- YouTube
- 1 hour 5 minutes
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- Free Video
Centrum Fizyki Teoretycznej PAN
Symmetries, Conservation Laws and Variational Principles - Part III

Explore symmetries, conservation laws, and variational principles in mathematics, focusing on Noether Theorems and their applications in various geometric structures and physical systems.
- YouTube
- 1 hour 15 minutes
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Centrum Fizyki Teoretycznej PAN
Symmetries, Conservation Laws and Variational Principles - Part II

Explore advanced mathematics of Noether Theorems in calculus of variations, covering symmetries, conservation laws, and variational principles. Gain insights into differential geometric structures and their applications.
- YouTube
- 1 hour 6 minutes
- On-Demand
- Free Video
Centrum Fizyki Teoretycznej PAN
Symmetries, Conservation Laws and Variational Principles

Explore symmetries, conservation laws, and variational principles in mathematics, focusing on Noether Theorems and their applications in calculus of variations and differential geometry.
- YouTube
- 54 minutes
- On-Demand
- Free Video
NPTEL-NOC IITM
Functional Optimization Examples and Calculus of Variations - Part 2

Explore advanced functional optimization concepts through calculus of variations, focusing on practical examples and mathematical applications.
- YouTube
- 29 minutes
- On-Demand
- Free Video
NPTEL-NOC IITM
Functional Optimization: Introduction to Calculus of Variations - Part 1

Explore fundamental concepts of functional optimization through calculus of variations, focusing on practical examples and mathematical principles.
- YouTube
- 25 minutes
- On-Demand
- Free Video
BIMSA
Variational Problems with a Convexity Constraint and Twisted Harnack Inequality

Explore advanced variational problems involving convexity constraints and discover the twisted Harnack inequality in this mathematical analysis presentation.
- YouTube
- 1 hour 2 minutes
- On-Demand
- Free Video
Society for Industrial and Applied Mathematics
Exploring Variational Functions - Calculus of Variations and Geometric Measure Theory

Dive into variational problems and bounded Hessian functions with Luigi Ambrosio. Explore the intersection of Calculus of Variations and Geometric Measure Theory, inspired by machine learning insights.
- YouTube
- 48 minutes
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