MM507: Differential Equations (5 ECTS)

STADS: 13000701

Level
Bachelor course

Teaching period
The course is offered in the spring semester.
3rd quarter.

Teacher responsible
Email: achim@imada.sdu.dk

Timetable
Show entire timetable
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Comment:
Ubegrænset deltagerantal. 3. kvartal.

Prerequisites:
None

Academic preconditions:
The student must know the material of MM501 Calculus I.

Course introduction
To introduce modelling of problems from science and engineering by ordinary differential equations and to analyse and solve these equations.

Qualifications
Having completed the course successfully, the student can be expected to
• analyze and organize a domain or a situation with reference to mathematical modeling
• recognize problems which can be modeled by differential equations
• “read” the qualitative properties described by a model
• construct a mathematical model for a concrete problem
• find solutions analytical or numerical to ordinary differential equations by application of anappropriate tool
• to relate the solutions to the original problem

Expected learning outcome
After the course the student should be able to:

• formulate a differential equation as a model for a simple problem
• solve differential equations by methods taught in the course
• find steady states and analyse the asymptotic behaviour of simple systems of differential equations
• apply tools such as Maple to solve differential equations numerically

Subject overview
Ordinary differential equations, analytical and numerical solution methods, linear systems, the phase plane, non-linear systems including chaotic systems, examples of modelling and solutions of specific problems from science and engineering.

Literature

Meddeles ved kursets start.

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
Required assignments, pass/fail, internal evaluation by teacher.

Expected working hours
The teaching method is based on three phase model.

Forelæsninger: 24 timer
Eksaminatorier: 22 timer

Educational activities

Language
This course is taught in English, if international students participate. Otherwise the course is taught in Danish.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.