Ordinary Differential Equations I
Syllabus, Bachelor's level, 1MA032
- Code
- 1MA032
- Education cycle
- First cycle
- Main field(s) of study and in-depth level
- Mathematics G1F
- Grading system
- Pass with distinction (5), Pass with credit (4), Pass (3), Fail (U)
- Finalised by
- The Faculty Board of Science and Technology, 15 March 2007
- Responsible department
- Department of Mathematics
Entry requirements
Several Variable Calculus, Linear Algebra II
Learning outcomes
In order to pass the course (grade 3) the student should be able to
Higher grades, 4 or 5, require a higher level of proficiency. The student should be able to solve problems of greater complexity, i.e. problems requiring a combination of ideas and methods for their solution, and be able to give a more detailed account of the proofs of important theorems and by examples and counter-examples be able to motivate the scope of various results. Requirements concerning the student's ability to present mathematical arguments and reasoning are greater.
Content
Linear differential equations of order n, exact solutions, theorems of existence and uniqueness, power series solutions, systems of differential equations, nonlinear systems, classification of fixpoints, phase portraits, numerical solution methods.
Instruction
Lectures and problem solving sessions.
Assessment
Written and, possibly, oral examination at the end of the course. Moreover, compulsory assignments may be given during the course.
Reading list
- Reading list valid from Autumn 2024
- 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