Modelling with Differential Equations
Delft University of Technology
How do populations grow? How do viruses spread? What is the trajectory of a glider? Introduce yourself to the modelling cycle which includes: analyzing a problem, formulating it as a mathematical model, calculating solutions and validating your results.
About this Course
All models are (systems of) ordinary differential equations. In this course you will learn more about those by watching video lectures and reading short texts, and more importantly, by completing well-crafted hands-on exercises in which you can practice modeling yourself! You will also learn how to implement Euler's method in a (Python) program. In the verified track of this course you will additionally consolidate the new skills with graded problem sets about four other real-life applications. This course is aimed at Bachelor students from Mathematics, Engineering and Science disciplines. However it is for anyone who would want to use differential equations for solving real-world problems, including business owners, researchers and students.
What You'll Learn
- To follow the process of the mathematical modelling cycle: formulate a real-life problem, construct an appropriate mathematical model, calculate solutions and validate the results.
- Analyze and use (systems of) ordinary differential equations.
- Solve the ordinary differential equations and implement Euler's method in a (Python) program.
- Complete well-crafted problem sets on several interesting real-life applications to consolidate your new skills
Prerequisites
- Calculus (1st-order ordinary differential equations), some programming skills are helpful. This course is aimed at Bachelor students from Mathematics, Engineering and Science disciplines.
Instructors
Marleen Keijzer
Dr.
Dennis den Ouden-van der Horst
Lecturer, Mathematics
Iris Smit
Dr.
Kees Vuik
Professor, Numerical Analysis