Informações principais
Sobre o conteúdo
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.MATH226x is an introduction to the mathematical theory of ordinary differential equations. This course follows a modern dynamical systems approach to the subject. In particular, equations are analyzed using qualitative, numerical, and if possible, symbolic techniques.
MATH226 is essentially the edX equivalent of MA226, a one-semester course in ordinary differential equations taken by more than 500 students per year at Boston University. It is divided into three parts. MATH226.1 is the first of these three parts.
In MATH226.1, we will discuss biological and physical models that can be expressed as differential equations with one or two dependent variables. We will discuss geometric/qualitative and numerical techniques that apply to all differential equations. When possible, we will study some of the standard symbolic solution techniques such as separation of variables and the use of integrating factors. We will also study the theory of existence and uniqueness of solutions, the phase line and bifurcations for first-order autonomous systems, and the phase plane for two-dimensional autonomous systems. The techniques that we develop will be used to analyze models throughout the course.
For additional information on obtaining credit through the ACE Alternative Credit Project, please visit here.
Programa de estudos
- The mathematical theory of ordinary differential equations and its application to biological and physical systems
- How to analyze equations using qualitative, numerical, and symbolic techniques
- Modeling via differential equations
Instrutores
- Paul Blanchard
- Kyle Vigil
Criador do conteúdo

Plataforma

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.