Skip to main content
Graph
Search
fr
en
Login
Search
All
Categories
Concepts
Courses
Lectures
MOOCs
People
Quizes
Exercises
Publications
Startups
Units
Show all results for
Home
Lecture
Theorem of the Average
Graph Chatbot
Related lectures (31)
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Improper Integrals: Convergence and Comparison
Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.
Green's Theorem: Understanding Rotations and Closed Paths
Explores Green's Theorem, rotations, closed paths, and integral signs.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Fundamental Theorem of Analysis: Integral (Part 2)
Explores the integral part of the Fundamental Theorem of Analysis with examples like y = cos(x).
Integration of CnR Class Functions
MOOC: Analysis I
MOOC: Analysis I (part 7) : Indefinite and definite integrals, integration (selected chapters)
Explains the integration of Taylor series for CnR class functions.
Multiple Integration: Fubini Theorem
Explores multiple integration in R², focusing on double integrals over closed rectangles and the Fubini theorem.
Analytic Continuation: Residue Theorem
Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.
Improper Integrals: Recap and Bounded Functions
Covers a recap of improper integrals and bounded functions.
Partial Derivatives: Derivative of an Integral with Parameter-dependent Bounds
Covers the derivative of an integral with parameter-dependent bounds and the gradient.
Curves with Poritsky Property and Liouville Nets
Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.
Angle Calculation on Regular Surfaces
Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.
Fubini's Theorem: Multiple Integrals
Log in to Mediaspace to watch this video
Explores Fubini's Theorem for multiple integrals, emphasizing the n=2 case.
Multivariable Integral Calculus
Log in to Mediaspace to watch this video
Covers multivariable integral calculus, including rectangular cuboids, subdivisions, Douboux sums, Fubini's Theorem, and integration over bounded sets.
Distributions and Derivatives
Log in to Mediaspace to watch this video
Covers distributions, derivatives, convergence, and continuity criteria in function spaces.
Green's Functions in Laplace Equations
Log in to Mediaspace to watch this video
Covers the concept of Green's functions in Laplace equations and their solution construction process.
Magnetostatics: Magnetic Field and Force
Log in to Mediaspace to watch this video
Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.
Analysis IV: Convergence Theorems and Integrable Functions
Log in to Mediaspace to watch this video
Covers convergence theorems and integrable functions, including the Lebesgue integral and Borel-Cantelli sets.
Curve Integrals: Gauss/Green Theorem
Log in to Mediaspace to watch this video
Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.
Riemann Integral: Properties and Generalization
Log in to Mediaspace to watch this video
Explores characterizations and generalizations of the Riemann integral, showcasing its properties and applications.
Previous
Page 1 of 2
Next
