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assignment Уровень : Средний
chat_bubble_outline Язык : английский
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timer 24 час(ы) курса


All models are (systems of) ordinary differential equations. In this course you will learn more about those by watching video lectures and reading short texts, and more importantly, by completing well-crafted hands-on exercises in which you can practice modeling yourself!

You will also learn how to implement Euler's method in a (Python) program.

In the verified track of this course you will additionally consolidate the new skills with graded problem sets about four other real-life applications.

This course is aimed at Bachelor students from Mathematics, Engineering and Science disciplines. However it is for anyone who would want to use differential equations for solving real-world problems, including business owners, researchers and students.

  • To follow the process of the mathematical modelling cycle: formulate a real-life problem, construct an appropriate mathematical model, calculate solutions and validate the results.
  • Analyze and use (systems of) ordinary differential equations.
  • Solve the ordinary differential equations and implement Euler's method in a (Python) program.

In the Verified Track, you will additionally:

  • Complete well-crafted problem sets on several interesting real-life applications to consolidate your new skills

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Специальные требования

Calculus (1st-order ordinary differential equations), some programming skills are helpful. This course is aimed at Bachelor students from Mathematics, Engineering and Science disciplines.



Module 1:

Introduction to the cycle of mathematical modelling. We will start describing a population of fish by a differential equation.

Verified Track : Two practice problems (filtering with sunscreen, mixing fluids) with other real-life applications to consolidate the theory learned.

Module 2:

Complete more modelling cycles by improving on the model and evaluating the consequences. Euler's method is introduced for solving ordinary differential equations. You will run Python simulations.

Verified Track : A new application to practice the theory: the spread of a flu epidemic.

Module 3:

Predator fish are added to the model. How do the populations interact? Systems of differential equations.

Verified Track : One more practice problem (electrical clock) to consolidate the theory learned about systems.



Marleen Keijzer
Assistant Professor, Mathematics
TU Delft

Dennis den Ouden-van der Horst
Lecturer, Mathematics
TU Delft

Iris Smit
Lecturer, Mathematics
Delft University of Technology

Kees Vuik
Professor, Numerical Analysis
Delft Universtity of Technology



Delft University of Technology
Delft University of Technology



EdX est une plateforme d'apprentissage en ligne (dite FLOT ou MOOC). Elle héberge et met gratuitement à disposition des cours en ligne de niveau universitaire à travers le monde entier. Elle mène également des recherches sur l'apprentissage en ligne et la façon dont les utilisateurs utilisent celle-ci. Elle est à but non lucratif et la plateforme utilise un logiciel open source.

EdX a été fondée par le Massachusetts Institute of Technology et par l'université Harvard en mai 2012. En 2014, environ 50 écoles, associations et organisations internationales offrent ou projettent d'offrir des cours sur EdX. En juillet 2014, elle avait plus de 2,5 millions d'utilisateurs suivant plus de 200 cours en ligne.

Les deux universités américaines qui financent la plateforme ont investi 60 millions USD dans son développement. La plateforme France Université Numérique utilise la technologie openedX, supportée par Google.

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