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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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Professor Leonard
Calculus 3 - TNB (Frenet-Serret) Frames, Curvature, Torsion, Encapsulation

Explore TNB Frames, curvature, and torsion in vector calculus. Learn to compute Frenet-Serret frames, find osculating circles and planes, and perform vector encapsulation for 2D functions.
- YouTube
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World Science Festival
Curvature and Parallel Motion

Explore Einstein's theory of gravity through curvature mathematics. Brian Greene introduces key concepts and equations, offering insights into the universe's fundamental nature.
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Insights into Mathematics
Differential Geometry - Complete Course with Classical Curves, Surfaces, and Curvature Theory

Explore curves, surfaces, and curvature through classical and modern approaches, including projective geometry, algebraic methods, and computational visualization with GeoGebra.
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Harvard CMSA
Optimal Reach Estimation

Discover optimal reach estimation techniques for embedded submanifolds, exploring minimax theory, curvature estimation, and statistical convergence rates in geometric data analysis.
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Insights into Mathematics
Gauss's View of Curvature and the Theorema Egregium - Differential Geometry Lecture 35

Explores Gauss's curvature concept, Theorema Egregium, and discrete curvature in polyhedra. Covers Gauss-Rodrigues map, paraboloids, and the Gauss-Bonnet theorem for a comprehensive look at differential geometry.
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Insights into Mathematics
Curvature for the General Parabola - Differential Geometry Lecture 13

Explores curvature of general parabolas using projective geometry, focus-directrix definition, and local behavior. Introduces formulas for parabola curvature as a foundation for understanding curvature of general curves.
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Rational Curvature of a Polytope - Algebraic Topology Lecture 15

Introduces a new rational definition of polytope curvature, using turn-angle to connect curvature with Euler number. Explores opposite cones and applies Harriot's theorem on spherical triangles.
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Insights into Mathematics
Curvature, Turning Numbers and Winding Numbers - Differential Geometry

Explore curvature, turning numbers, and winding numbers in planar curves. Learn about irrational numbers and transcendental functions from an applied perspective using rational turn angles.
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Metrical Structure and Curvature of a Parabola - Differential Geometry

Explore metrical structures and curvature in differential geometry, focusing on parabolas. Learn about symmetric bilinear forms, relativistic geometries, and their applications in physics.
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Mathemaniac
The Clever Way Curvature is Described in Math - Gaussian and Mean Curvatures

Explore Gaussian and mean curvatures in differential geometry, focusing on the shape operator to understand surface curvature and its applications in minimal surfaces.
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Curvature for General Algebraic Surfaces - Differential Geometry Lecture 29

Explore curvature formulas for general algebraic surfaces, extending from paraboloids to general quadrics. Learn to compute curvatures for hypersurfaces in affine space.
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Rational Curvature of Polytopes and the Euler Number - Algebraic Topology Lecture 16

Explore the relationship between polyhedron curvature and Euler number using rational formulation. Learn about Harriot's theorem and analyze various polyhedra, including tetrahedron, cube, and dodecahedron.
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Quadratic Curvature for Algebraic Curves - Differential Geometry Lecture 15

Explores advanced formulas for curvature of algebraic surfaces in 3D space, focusing on the normal paraboloid as key to encoding quadratic metrical information and curvatures in general situations.
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Insights into Mathematics
The Triple Spread Formula, Circumcircles and Curvature - Rational Geometry Math Foundations

Explores the Triple spread formula in Rational Trigonometry, relating it to circumcircles and curvature. Connects projective geometry with one and two-dimensional geometries through core circles and quadratic curvature.
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Insights into Mathematics
Curvature for the General Paraboloid - Differential Geometry - NJ Wildberger

Novel approach to surface curvature using projective geometry and linear algebra. Explores paraboloid curvature through characteristic polynomials, offering insights for higher-dimensional generalizations.
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