Academic Discipline

Mathematics

Linear algebra, real and complex analysis, topology, differential geometry, probability, combinatorics, and number theory.

18courses132standalone talks428total lectures

Subfields

All Mathematics428 Calculus & Analysis164 Linear Algebra107 Topology & Geometry59 Category Theory, Topos Theory & Set Foundations56 Probability & Information Theory39 Combinatorics & Graph Theory34 Control & Dynamical Systems31 Convex Optimization21 Formal Methods & Type Theory20 Number Theory & Abstract Algebra18 Statistical Learning & Causality7 Algorithmic Information & Coding Theory5 Cryptography4 Computational Complexity3

Linear Algebra— Vector spaces, Gaussian elimination, eigenvalues and spectral theory, SVD, and matrix factorizations.

12 topics

All Linear Algebra Gaussian Elimination & Matrix Systems28 Vector Spaces & Subspaces28 Eigenvalues & Spectral Theory20 Orthogonality & Least Squares15 Singular Value Decomposition (SVD)8 Double Integrals3 Matrix Operations3 Matrix Representation3 Change of Variables2 Inverse Matrix2 LU Decomposition2 Matrix Inverse2

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Fourier Series: From Joseph Fourier's Heat Equation to Complex Epicycles

Mathematics·Standalone Lecture·Linear Algebra · Grant Sanderson · 3Blue1Brown

Grant Sanderson

3Blue1Brown

24:47

Orthogonal Projections for a Restricted Family of Directions

Mathematics·Research Seminar·Linear Algebra · Hong Wang · Clay Mathematics Institute

Hong Wang

Clay Mathematics Institute

55:39

Hard Lefschetz Theorem and Hodge-Riemann Relations for Combinatorial Geometries

Mathematics·Research Seminar·Statistical Learning & Causality · June Huh · Institute for Advanced Study

June Huh

Institute for Advanced Study

58:19

Dot product

18.02 · Multivariable Calculus · Lec 1·Calculus & Analysis · Denis Auroux · MIT

Denis Auroux

MIT

38:40

Determinants; cross product

18.02 · Multivariable Calculus · Lec 2·Calculus & Analysis · Denis Auroux · MIT

Denis Auroux

MIT

52:51

Polar Coordinates & Vector Algebra

MATH 53 · Multivariable Calculus · Lec 4·Calculus & Analysis · Edward Frenkel · UC Berkeley

Edward Frenkel

UC Berkeley

1:16:59

Multiple Integrals in 2D; Change of Variables and Jacobians

Undergraduate Student Lectures · Lec 12·Calculus & Analysis · Sarah Waters · University of Oxford

Sarah Waters

University of Oxford