Mathematics

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Formal & Physical Sciences Mathematics

Organisation of the course and brief introduction to Mathematical Epidemiology

Julien Arino

October 9, 2022 25 min

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Mathematical EpidemiologyEpidemiologyCourse Introduction

Formal & Physical Sciences Mathematics

Introduction to Mathematical Epidemiology: the SIS and Kermack and McKendrick epidemiological models

Julien A

October 9, 2022 94 min

★ ★ ★ ★ ☆ 4/5

Mathematical EpidemiologySIR ModelSIS Model

Humanities, Social Sciences & Thought Mathematics

What makes a great math explanation? | SoME2 results

3Blue1Brown

October 1, 2022 17 min

★ ★ ★ ★ ☆ 4/5

Math EducationSoME2Explanation

Formal & Physical Sciences Mathematics

How to lie using visual proofs

3Blue1Brown

July 3, 2022 18 min

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Visual ProofsMathematical RigorGeometry

Formal & Physical Sciences Mathematics

Learning About Quantum States 6: Central Limit Theorems and more for the RSK process on random words

Ryan O'Donnell

June 1, 2022 19 min

★ ★ ★ ★ ☆ 4/5

RSK ProcessCentral Limit TheoremQuantum State Tomography

Formal & Physical Sciences Mathematics

Learning About Quantum States 5: The Robinson--Schensted--Knuth Algorithm

Ryan O'Donnell

May 31, 2022 18 min

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RSK AlgorithmQuantum State TomographyYoung Diagrams

Formal & Physical Sciences Mathematics

Olympiad level counting (Generating functions)

3Blue1Brown (Grant Sanderson)

May 23, 2022 34 min

★ ★ ★ ★ ★ 5/5

Fonctions GénératricesRacines De L'unitéCombinatoire

Formal & Physical Sciences Mathematics

Mathematical Epidemiology - Practicum 03 - Analysis and study of stochastic models in R

Julien A

May 10, 2022 73 min

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Markov ChainsStochastic ModelsR Programming

Formal & Physical Sciences Mathematics

Mathematical Epidemiology - Practicum 02 - Model analysis, studying large-scale models in R

Julien A

May 10, 2022 100 min

★ ★ ★ ★ ☆ 4/5

Mathematical EpidemiologyR ProgrammingModel Analysis

Formal & Physical Sciences Mathematics

Mathematical Epidemiology - Lecture 09 - Some oddities and some recent mathematical models

Julien Arino

May 5, 2022 65 min

★ ★ ★ ★ ☆ 4/5

EpidemiologyMathematical ModelingR0

Formal & Physical Sciences Mathematics

Mathematical Epidemiology - Lecture 07 - Stochastic models

Julien Arino

May 4, 2022 60 min

★ ★ ★ ★ ☆ 4/5

Stochastic ModelsEpidemiologyMarkov Chains

Formal & Physical Sciences Mathematics

Mathematical Epidemiology - Practicum 01 - Introduction to R, getting data, solving ODE and fitting

Julien A

May 3, 2022 119 min

★ ★ ★ ★ ☆ 4/5

REpidemiologyODE

Formal & Physical Sciences Mathematics

Mathematical Epidemiology - Lecture 06 - Stochastic aspects in the spread of epidemics

Julien Arino

May 1, 2022 61 min

★ ★ ★ ★ ☆ 4/5

Stochastic ProcessesEpidemiologySojourn Times

Formal & Physical Sciences Mathematics

Mathematical Epidemiology - Lecture 04 - Group models

Julien Arino

April 29, 2022 29 min

★ ★ ★ ★ ☆ 4/5

Mathematical EpidemiologyGroup ModelsODE

Formal & Physical Sciences Mathematics

UofM - MATH2740 - Lecture 09 - Part 1 - SVD (an example by hand)

Julien A

April 28, 2022 32 min

★ ★ ★ ★ ☆ 4/5

SVDLinear AlgebraEigenvalues

Formal & Physical Sciences Mathematics

UofM - MATH2740 - Lecture 07 - Part 1 - Computing and using the QR factorisation

Julien A

April 28, 2022 53 min

★ ★ ★ ★ ☆ 4/5

QR FactorizationGram-SchmidtLeast Squares

Formal & Physical Sciences Mathematics

UofM - MATH2740 - Lecture 06 - Part 2 - QR factorisation (example)

Julien A

April 28, 2022 16 min

★ ★ ★ ★ ☆ 4/5

Gram-SchmidtQR FactorizationLinear Algebra

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 23 - Part 2 - Markov chains in R

Julien A

April 28, 2022 53 min

★ ★ ★ ★ ☆ 4/5

Markov ChainsR ProgrammingStochastic Processes

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 23 - Part 1- Absorbing Markov chains

Julien A

April 28, 2022 23 min

★ ★ ★ ★ ☆ 4/5

Markov ChainsAbsorbing StatesStochastic Processes

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 22 - Regular Markov chains

Julien A

April 28, 2022 69 min

★ ★ ★ ★ ☆ 4/5

Markov ChainsStochastic MatricesPrimitive Matrices

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 21 - Part 2 - Markov chains

Julien A

April 28, 2022 42 min

★ ★ ★ ★ ☆ 4/5

Markov ChainsStochastic ProcessesTransition Matrix

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 21 - Part 1 - Graph theory (Air transport in MB)

Julien A

April 28, 2022 34 min

★ ★ ★ ★ ☆ 4/5

Graph TheoryIgraphR

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 20 - Graph theory (Air transport in MB)

Julien A

April 28, 2022 68 min

★ ★ ★ ★ ☆ 4/5

Graph TheoryNetwork AnalysisR Programming

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 18 - Graph theory (Graph measures 2)

Julien A

April 28, 2022 62 min

★ ★ ★ ★ ☆ 4/5

Graph TheoryDensityConnectedness

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 17 - Part 2 - Graph theory (Graph measures 1)

Julien A

April 28, 2022 30 min

★ ★ ★ ★ ☆ 4/5

Graph TheoryGeodesic DistanceEccentricity

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 17 - Part 1 - Graph theory (Introduction to RMarkdown)

Julien A

April 28, 2022 34 min

★ ★ ★ ★ ☆ 4/5

R MarkdownGraph TheoryData Wrangling

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 16 - Part 2 - Graph theory (computer example)

Julien A

April 28, 2022 23 min

★ ★ ★ ★ ☆ 4/5

Graph TheoryIgraphR Programming

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 16 - Part 1 - Graph theory (associated matrices)

Julien A

April 28, 2022 49 min

★ ★ ★ ★ ☆ 4/5

Graph TheoryAdjacency MatrixDegree Matrix

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 14 - Part 2 - Graph theory (Spanning trees - igraph)

Julien A

April 28, 2022 10 min

★ ★ ★ ★ ☆ 4/5

Graph TheorySpanning TreesIgraph

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 14 - Part 1 - Graph theory (Cycles, spanning trees)

Julien A

April 28, 2022 62 min

★ ★ ★ ★ ☆ 4/5

Graph TheoryCyclesTrees

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 13 - Part 2 - Graph theory (Introduction to igraph)

Julien A

April 28, 2022 20 min

★ ★ ★ ★ ☆ 4/5

IgraphRGraph Theory

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 13 - Part 1 - Graph theory (Introduction)

Julien A

April 28, 2022 56 min

★ ★ ★ ★ ☆ 4/5

Graph TheoryMathematicsLecture

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 12 - Part 1 - PCA (computer example 2)

Julien A

April 28, 2022 33 min

★ ★ ★ ★ ☆ 4/5

PCAR ProgrammingData Science

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 11 - Part 3 - PCA (computer example 1)

Julien A

April 28, 2022 29 min

★ ★ ★ ★ ☆ 4/5

PCARLinear Algebra

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 11 - Part 2 - Examples of change of basis

Julien A

April 28, 2022 23 min

★ ★ ★ ★ ☆ 4/5

Linear AlgebraChange of BasisVector Spaces

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 09 - Part 2 - SVD and pseudo-inverse (example)

Julien A

April 28, 2022 36 min

★ ★ ★ ★ ☆ 4/5

SVDPseudo-InverseLinear Algebra

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 08 - Part1 - SVD (theory)

Julien A

April 28, 2022 60 min

★ ★ ★ ★ ☆ 4/5

SVDLinear AlgebraEigenvalues

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 08 - Part 2 - SVD (image compression in R)

Julien A

April 28, 2022 15 min

★ ★ ★ ★ ☆ 4/5

SVDImage CompressionR Programming

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 07 - Part 2 - SVD (theory)

Julien A

April 28, 2022 18 min

★ ★ ★ ★ ☆ 4/5

Singular Value DecompositionLinear AlgebraEigenvalues

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 06 - Part 1 - QR factorisation (theory)

Julien A

April 28, 2022 56 min

★ ★ ★ ★ ☆ 4/5

QR FactorizationOrthogonal MatricesLinear Algebra