Mathematics III - Ordinary Differential Equations

About this programme

This course provides an introduction into ordinary (i.e. one-variable) differential equations, their analytical and numerical solution techniques and the underlying theory, such as statements on the existence and uniqueness of solutions or their stability. In addition, a few examples of partial differential equations will be treated. Course contents: Linear differential equations with constant and variable coefficients, existence and uniqueness theorems, boundary value problems, Green's function, plane autonomous systems, stability and classification of critical points, examples of second order partial differential equations, separation of variables, transformation methods for differential equations, numerical solutions. The contents of the course may be applied in modelling in a number of fields, as for example Physics and Economy. The course consists of three elements, where one (theory) is compulsory and the student chooses one of the other two elements (project - theory, or project - numerical calculations) to complete. Examination for the course is done with a written (and, for higher grades, oral) examination, and written and oral presentation of the project (whether theory or numerical calculations). To pass the course, you must pass the theory element and one of the two project elements. The grade is decided by the grade on the theory element. To follow your passion. To be close to international career opportunities. To explore city and countryside. In Stockholm you can really get the best of both worlds.