Ordinary Differential Equations
6.0 ECTS credits- First and higher order ordinary differential equations
- Systems of ordinary differential equations
- Modelling of chemical reaction kinetics and population dynamics, for example
- Methods for finding exact solutions
- Classic solution theory: qualitative methods for existence, uniqueness, and continuous dependency regarding initial conditions and parameters
- Analysis of solutions with the help of approximation theory: finite difference-approximation methods
- Lyapunov's stability theory
- Analysis of the large-time behavior of solutions and introduction to chaos theory.
Instruction is in the form of lectures and classes. Students carry out an assignment individually and present it orally and in writing.
- Systems of ordinary differential equations
- Modelling of chemical reaction kinetics and population dynamics, for example
- Methods for finding exact solutions
- Classic solution theory: qualitative methods for existence, uniqueness, and continuous dependency regarding initial conditions and parameters
- Analysis of solutions with the help of approximation theory: finite difference-approximation methods
- Lyapunov's stability theory
- Analysis of the large-time behavior of solutions and introduction to chaos theory.
Instruction is in the form of lectures and classes. Students carry out an assignment individually and present it orally and in writing.
Progressive specialisation:
G1F (has less than 60 credits in first鈥恈ycle course/s as entry requirements)
Education level:
Undergraduate level
Admission requirements
Mathematics 30 ECTS credits, including Linear Algebra 7.5 ECTS credits and Calculus and Geometry 7.5 ECTS credits completed and attended course Introduction to Analysis 7.5 ECTS credits, or equivalent.
Selection:
Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.
This course is included in the following programme
- Mathematics Programme (studied during year 2)