Differential Equations

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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 [...]

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 [...]

Foundations of Quantum Mechanics (Coursera)

Jun 27th 2022
Foundations of Quantum Mechanics (Coursera)
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This course covers the fundamental concepts and topics of quantum mechanics which include basic concepts, 1D potential problems, time evolution of quantum states, and essential linear algebra. It provides undergraduate level foundational knowledge and build on them more advanced topics.

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 [...]

Initiation à la théorie des distributions (Coursera)

Jun 20th 2022
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 [...]

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 [...]

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 [...]

Introduction to Differential Equations (edX)

Jun 1st 2022
Introduction to Differential Equations (edX)
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Scientists and engineers understand the world through differential equations. You can too. Differential equations are the language of the models we use to describe the world around us. In this mathematics course, we will explore temperature, spring systems, circuits, population growth, and biological cell motion to illustrate how differential [...]
Jun 1st 2022
Course Auditing
94.00 EUR

Differential Equations: Fourier Series and Partial Differential Equations (edX)

Mar 23rd 2022
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 [...]

Transfer Functions and the Laplace Transform (edX)

Self Paced
Transfer Functions and the Laplace Transform (edX)
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An intro to the mysteries of the frequency domain and Laplace transform and how they're used to understand mechanical and electrical systems. This course is about the Laplace Transform, a single very powerful tool for understanding the behavior of a wide range of mechanical and electrical systems: from helicopters [...]