Yang-Mills and the Mass GapPhysics·Research Seminar·Calculus & Analysis · Martin Hairer · Clay Mathematics InstituteMartin HairerClay Mathematics Institute—1:00:56
Preface: MIT Calculus Revisited - Single Variable Calculus18.01SC · Single Variable Calculus · Lec 1·Differential Equations (ODEs & PDEs) · Herbert Gross · MITHerbert GrossMIT—32:06
Fourier Series: From Joseph Fourier's Heat Equation to Complex EpicyclesMathematics·Standalone Lecture·Linear Algebra · Grant Sanderson · 3Blue1BrownGrant Sanderson3Blue1Brown4 ch24:47
Computer-Assisted Proofs in Fluid PDEs using Interval ArithmeticMathematics·Research Seminar·Control & Dynamical Systems · Tristan Buckmaster · Princeton UniversityTristan BuckmasterPrinceton University—56:08
Overdetermined Problems in GeometryMathematics·Research Seminar·Topology & Geometry · Rafe Mazzeo · Clay Mathematics InstituteRafe MazzeoClay Mathematics Institute—1:02:31
The Arithmetic of Differential EquationsMathematics·Research Seminar·Number Theory & Abstract Algebra · Daniel Litt · University of TorontoDaniel LittUniversity of Toronto—56:15
Reflecting on Neural ODEs at NeurIPS 2019AI & ML·Conference Talk·Calculus & Analysis · David Duvenaud · University of TorontoDavid DuvenaudUniversity of Toronto—21:02
Direction Fields and Integral Curves18.03 · Differential Equations · Lec 1·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MITArthur MattuckMIT—48:56
Why Laplace transforms are so usefulMathematics·Standalone Lecture·Differential Equations (ODEs & PDEs) · Grant Sanderson · 3Blue1BrownGrant Sanderson3Blue1Brown8 ch23:05
The Physics of Euler's Formula — Laplace Transform PreludeMathematics·Standalone Lecture·Differential Equations (ODEs & PDEs) · Grant Sanderson · 3Blue1BrownGrant Sanderson3Blue1Brown5 ch27:49
Koopman Operator Theory and Linear Representations of Nonlinear DynamicsEngineering·Research Seminar·Calculus & Analysis · Steve Brunton · University of WashingtonSteve BruntonUniversity of Washington—31:31
Forty Years of Differential Equations in the Claremont CollegesMathematics·Standalone Lecture·Differential Equations (ODEs & PDEs) · Robert Borrelli & Courtney Coleman · Harvey Mudd CollegeRobert Borrelli&Courtney ColemanHarvey Mudd College—1:00:45
Euler's Numerical Method for y'=f(x,y) and its Generalizations18.03 · Differential Equations · Lec 2·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MITArthur MattuckMIT—50:45
Parametric Curves in ℝ³MATH 53 · Multivariable Calculus · Lec 6·Topology & Geometry · Edward Frenkel · UC BerkeleyEdward FrenkelUC Berkeley—1:21:03
First-order Linear ODEs: Steady-state and Transient Solutions18.03 · Differential Equations · Lec 3·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MITArthur MattuckMIT—50:22
Introduction to the Laplace Transform; Basic Formulas18.03 · Differential Equations · Lec 18·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MITArthur MattuckMIT—47:40
Tangential and Normal VectorsMultivariable & Vector Calculus · Lec 8·Differential Equations (ODEs & PDEs) · Herbert Gross · MITHerbert GrossMIT—28:24
First-Order Substitution Methods: Bernoulli and Homogeneous ODEs18.03 · Differential Equations · Lec 4·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MITArthur MattuckMIT—50:14
First-order Autonomous ODEs: Qualitative Methods and Applications18.03 · Differential Equations · Lec 5·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MITArthur MattuckMIT—45:46
Complex Numbers and Complex Exponentials18.03 · Differential Equations · Lec 6·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MITArthur MattuckMIT—45:28