Differential Equations

 

 


 

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Dec 5th 2016

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 for students beginning in the engineering, physical, and social sciences.

Average: 6.5 (2 votes)
Nov 28th 2016

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 de la résolution numérique d'équations différentielles.

Average: 9 (1 vote)
Nov 14th 2016

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 d'autres.

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Jun 23rd 2016

Learn the mathematical theory of nonlinear differential equations and their application to systems such as the pendulum, the glider, and the weather. Phenomena as diverse as the motion of the planets, the spread of a disease, and the oscillations of a suspension bridge are governed by differential equations.

Average: 8 (2 votes)
Jun 8th 2016

Learn basic engineering mathematics and how to apply basic mathematics to solve engineering problems. The goal of this mathematics course is to provide high school students and college freshmen an introduction to basic mathematics and especially show how mathematics is applied to solve fundamental engineering problems.

Average: 10 (1 vote)
Jun 6th 2016

As a participant in this course, you’ll be introduced to mathematical models formulated in terms of ordinary and partial differential equations. It has been shown that symmetries help us to better understand methods of integration of differential equations and to find new classes of integrable equations.

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Feb 4th 2016

Learn the mathematical theory of ordinary differential equations and its application to biological and physical systems.

Average: 5.4 (5 votes)
Self Paced

This tutorial covers several mathematical techniques that are frequently used in complex systems science. The techniques are covered in independent units, taught by different instructors. Each unit has its own prerequisites. Note that this tutorial is meant to introduce students to various important techniques and to provide illustrations of their application in complex systems. A given unit is not meant to offer complete coverage of its topic or substitute for an entire course on that topic.

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Jan 13th 2015

Premier volet d’une série de cours consacrés aux équations d’évolution, ce cours introduit l’auditeur à la théorie des équations différentielles. Les équations différentielles ordinaires sont d’usage universel aujourd’hui, dans toutes les sciences et dans l’industrie. Ce cours permettra de se familiariser avec leur langage et leur théorie, et de maîtriser les principales techniques d’étude qualitative (comportement en temps grand, stabilité, approximation...).

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