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: edc@imada.sdu.dk

Timetable
Show entire timetable
Show personal time table for this course.

Prerequisites:
None

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

Course introduction
The students will be introduced to the modeling of problems from natural and technical sciences by ordinary differential equations and trained in analyzing and solving the resulting equations with reference to quantitative and qualitative properties.

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


Subject overview
Phases of the modeling process, ordinary differential equations, linear systems, the phase plane, non-linear system of ordinary differential equations – including chaotic systems, analytical and numerical methods, examples of modeling and solutions of concrete problems from natural and technical sciences.

Literature

Meddeles ved kursets start.

Syllabus
See syllabus.

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
Oral exam. Project exam. External marking. Examination only when the course has been taught. Examination at other times is only possible after an application to the study board.

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

Forelæsninger 20 timer
Øvelser 30 timer

Educational activities

Language
No recorded information about the language used in the course.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.