Entry requirements

Linear Algebra II. Several Variable Calculus or Geometry and Analysis III.

Learning outcomes

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.

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).