Ordinary Differential Equations I
Syllabus, Bachelor's level, 1MA032
- Education cycle
- First cycle
- Main field(s) of study and in-depth level
- Mathematics G1F
- Grading system
- Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Finalised by
- The Faculty Board of Science and Technology, 11 June 2015
- Responsible department
- Department of Mathematics
Linear Algebra II. Several Variable Calculus or Geometry and Analysis III.
In order to pass the course (grade 3) the student should be able to
- give an account of basic concepts and definitions for differential equations;
- use methods for obtaining exact solutions of linear homogeneous and non-homogeneous differential equations;
- find and classify equilibrium points ;
- apply elementary power series techniques;
- describe some simple numerical solution techniques and be familiar with mathematical software for differential equations;
- use elementary methods for linear systems of differential equations.
Linear differential equations of order n, exact solutions, theorems of existence and uniqueness, power series solutions, systems of differential equations, nonlinear systems, classification of equilibrium points , phase portraits, numerical solution methods.
Lectures and problem solving sessions as well as a computer lab.
Written examination at the end of the course as well as a written report of the computer lab.
- Reading list valid from Autumn 2022
- Reading list valid from Autumn 2021
- Reading list valid from Autumn 2019
- Reading list valid from Autumn 2016
- Reading list valid from Spring 2015
- Reading list valid from Autumn 2013
- Reading list valid from Autumn 2012
- Reading list valid from Autumn 2010, version 2
- Reading list valid from Autumn 2010, version 1
- Reading list valid from Autumn 2007, version 2
- Reading list valid from Autumn 2007, version 1