Differential Equations
Full course description
In many Sciences, among which Physics, Chemistry, Biology, Computer Science and Economics, differential equations help to model processes of change. In this introductory course, we will focus on the basics of differential equations. In particular, we study first order differential equations as well as the solution set of higher order linear versions of these with constant coefficients. We will study a variety of techniques, including using the Laplace Transform. Finally we will solve systems of linear differential equations.
Course objectives
- To develop the insight that certain problems in natural sciences can be modelled through differential equations
- To be able to solve specific types of differential equations, including first- and second-order differential equations, and systems of linear differential equations.
Prerequisites
- MAT2006
Co-requisites:
- None
Recommended reading
Handouts will be distributed during the course (Canvas). Examples of books on (ordinary) differential equations are:
- An Introduction to Ordinary Differential Equations – J.C. Robinson – 2004 – Cambridge University Press;
- A first course in Differential Equations with Modelling Applications – D.G. Zill – 2013 – BROOKS/COLE Cengage Learning;
- Ordinary Differential Equations – W. Adkins and M. Davidson – 2012 – Springer;
- Onlinear dynamics and Chaos, 2nd Ed. – Steven H. Strogatz – 2015 – Westview Press.
MAT2008
Period 4
3 Feb 2025
4 Apr 2025
ECTS credits:
5.0Coordinators:
Teaching methods:
Lecture(s), PBL, SkillsAssessment methods:
Written exam, Attendance, Assessment