Ordinary Differential Equations I

5 credits

Syllabus, Bachelor's level, 1MA032

A revised version of the syllabus is available.
Code
1MA032
Education cycle
First cycle
Main field(s) of study and in-depth level
Mathematics G1F
Grading system
Pass with distinction, Pass with credit, Pass, Fail
Finalised by
The Faculty Board of Science and Technology, 9 November 2021
Responsible department
Department of Mathematics

Entry requirements

10 credits in mathematics. Participation in Linear Algebra II and in Several Variable Calculus, Several Variable Calculus, Limited Version, Several Variable Calculus M or Geometry and Analysis III. Several Variable Calculus, Several Variable Calculus, Limited Version or Several Variable Calculus M may also be taken in parallel with this course.

Learning outcomes

On completion of the course, 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.

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 equilibrium points, phase portraits, numerical solution methods.

Instruction

Lectures and problem solving sessions as well as a compulsory computer lab.

Assessment

Written examination (5 credit points) at the end of the course as well as a written report of the computer lab (0 credit points).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

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