Differential Equations

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Initiation à la théorie des distributions (Coursera)

May 24th 2021
Initiation à la théorie des distributions (Coursera)
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Une fonction discontinue peut-elle être solution d'une équation différentielle? Comment définir rigoureusement la masse de Dirac (une "fonction" d'intégrale un, nulle partout sauf en un point) et ses dérivées? Peut-on définir une notion de "dérivée d'ordre fractionnaire"? Cette initiation aux distributions répond à ces questions - et à bien [...]
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Differential Equations for Engineers (Coursera)

This course is about differential equations and covers material that all engineers should know. Both basic theory and applications are taught. In the first five weeks we will learn about ordinary differential equations, and in the final week, partial differential equations. The course is composed of [...]
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Calculus: Single Variable Part 3 - Integration (Coursera)

Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal [...]
4
Average: 4 ( 3 votes )

Elastic Stability and Behavior of Members (edX)

May 10th 2021
Elastic Stability and Behavior of Members (edX)
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Learn elastic stability concepts including methods to evaluate stability including bifurcation method and energy methods. Learn the differential equations governing behavior of structural members, and use them for column buckling analysis. Stability is a critical design limit state for structural members and [...]
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Introduction to Ordinary Differential Equations (Coursera)

In this introductory course on Ordinary Differential Equations, we first provide basic terminologies on the theory of differential equations and then proceed to methods of solving various types of ordinary differential equations. We handle first order differential equations and then second order linear differential equations. We also discuss some [...]
10
Average: 10 ( 3 votes )

Analyse numérique pour ingénieurs (Coursera)

Ce cours contient les 7 premiers chapitres d'un cours donné aux étudiants bachelor de l'EPFL. Il est basé sur le livre "Introduction à l'analyse numérique", J. Rappaz M. Picasso, Ed. PPUR. Des outils de base sont décrits dans les 5 premiers chapitres. Les deux derniers chapitres abordent la question [...]
4
Average: 4 ( 3 votes )

Numerical Methods for Engineers (Coursera)

Numerical Methods for Engineers covers the most important numerical methods that an engineer should know. We derive basic algorithms in root finding, matrix algebra, integration and interpolation, ordinary and partial differential equations. We learn how to use MATLAB to solve numerical problems. Access to MATLAB [...]
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Differential Equations: Fourier Series and Partial Differential Equations (edX)

Apr 21st 2021
Differential Equations: Fourier Series and Partial Differential Equations (edX)
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Learn to use Fourier series to solve differential equations with periodic input signals and to solve boundary value problems involving the heat equation and wave equation. Differential equations are the mathematical language we use to describe the world around us. Many phenomena are not modeled by differential equations, but [...]
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Average: 1 ( 3 votes )
Apr 21st 2021
Course Auditing
63.00 EUR

Differential Equations: 2x2 Systems (edX)

Oct 7th 2020
Differential Equations: 2x2 Systems (edX)
Course Auditing
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In order to understand most phenomena in the world, we need to understand not just single equations, but systems of differential equations. In this course, we start with 2x2 systems. Differential equations are the language of the models we use to describe the world around us. Most phenomena require [...]
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Average: 8 ( 2 votes )

Mathematical Modelling Basics (edX)

Apply mathematics to solve real-life problems. Make a mathematical model that describes, solve and validates your problem. Improve your model. How do populations grow? How do viruses spread? What is the trajectory of a glider? Many real-life problems can be described and solved by mathematical [...]
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