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The Series Finale of Online Education: Coursera Acquires Udemy

$7.2 billion in combined revenue since 2020. $8 billion in lost market value. This merger marks the end of an era in online education.

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International Centre for Theoretical Sciences
Geometry and Topology in Quantum Mechanics - Mathematical Properties

Explore geometric phases in quantum mechanics, from foundational concepts to advanced topics like Berry phases and null phase curves, with applications in optics and condensed matter physics.
- YouTube
- 1 hour 55 minutes
- On-Demand
- Free Video
International Centre for Theoretical Sciences
Geometry and Topology of Surfaces - Lecture 1

Introductory lecture on geometry and topology of surfaces, covering polyhedrons, Euler numbers, and the Gauss-Bonnet theorem. Includes exercises and Q&A for university lecturers.
- YouTube
- 57 minutes
- On-Demand
- Free Video
International Centre for Theoretical Sciences
Introduction to Contact Geometry by Dheeraj Kulkarni

Explore contact geometry fundamentals, including Frobenius theorem, contactomorphisms, and Gray stability theorem. Learn about symplectic structures and their relation to contact manifolds.
- YouTube
- 1 hour 27 minutes
- On-Demand
- Free Video
Insights into Mathematics
Areas and Volumes for a Sphere - Universal Hyperbolic Geometry

Explore Archimedes' sphere formulas, rational turn angles, and Harriot's theorem. Learn key principles in spherical geometry and discover new ways to conceptualize angles and areas.
- YouTube
- 32 minutes
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Insights into Mathematics
The Cross Law in Universal Hyperbolic Geometry - Universal Hyperbolic Geometry - NJ Wildberger

Explores the Cross law in Universal Hyperbolic Geometry, proving it with a polynomial identity and demonstrating its application to equilateral triangles. Includes exercises and comparisons to Euclidean geometry.
- YouTube
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Insights into Mathematics
Euclid Book 1 Props VI-VIII - A Foundation for Geometry - Sociology and Pure Maths - N J Wildberger

Examines Euclid's Elements Book 1 Propositions VI-VIII, discussing proofs, logical issues, and questioning its suitability as a foundation for modern geometry. Explores alternatives and implications for mathematics.
- YouTube
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Canonical Structures Inside the Platonic Solids III - Universal Hyperbolic Geometry

Explore the rich symmetries of the dodecahedron through internal structures like handle sets, inscribed cubes, tetrahedra, and face diameters. Discover five-fold and six-fold symmetries in this fascinating Platonic solid.
- YouTube
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Insights into Mathematics
Canonical Structures Inside Platonic Solids II - Universal Hyperbolic Geometry

Explore symmetries and canonical structures within the cube, including 2-fold, 3-fold, and 4-fold symmetries. Gain insights into rigid motions and even/odd symmetries using graph theory concepts.
- YouTube
- 24 minutes
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Teaching Connections Between Algebra and Geometry I - A MANSW Presentation

Exploring connections between algebra and geometry, covering topics like Euclidean algorithm, continued fractions, and projective geometry. Aims to revitalize interest in geometry as a core subject for students.
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Relativistic Velocity, Core Circles, and Paul Miller's Protractor - Rational Geometry

Explores core circles in rational geometry, connecting projective and Euclidean geometry. Covers parametrization, quadrances, and theorems, bridging abstract concepts with practical applications.
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Absolute Versus Relative Measurements in Geometry - Rational Geometry Math Foundations

Explore the distinction between absolute and relative measurements in geometry, focusing on proportions and ratios. Learn about ancient Greek approaches and their relevance to modern mathematics.
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The Cyclic Quadrilateral Quadrea Theorem - Rational Geometry Math Foundations

Explore the Cyclic Quadrilateral Quadrea theorem, combining Brahmagupta's and Robbins' formulas for convex and non-convex cyclic quadrilateral areas. Includes numerical examples and algebraic analysis.
- YouTube
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International Mathematical Union
Geometry of PDEs

Explore the interplay between geometry and partial differential equations, examining optimal geometric structures, shape evolution, and their applications across science and mathematics.
- YouTube
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Explore geometric concepts like polyhedrons, volume, and surface area through interactive lessons. Master logical reasoning and problem-solving skills applicable to various fields and everyday life.
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