• 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.

In the Verified Track, you will additionally:

• Complete well-crafted problem sets on several interesting real-life applications to consolidate your new skills

Module 1:

Introduction to the cycle of mathematical modelling. We will start describing a population of fish by a differential equation.

Verified Track : Two practice problems (filtering with sunscreen, mixing fluids) with other real-life applications to consolidate the theory learned.

Module 2:

Complete more modelling cycles by improving on the model and evaluating the consequences. Euler's method is introduced for solving ordinary differential equations. You will run Python simulations.

Verified Track : A new application to practice the theory: the spread of a flu epidemic.

Module 3:

Predator fish are added to the model. How do the populations interact? Systems of differential equations.

Verified Track : One more practice problem (electrical clock) to consolidate the theory learned about systems.

"Why do I need mathematics is no longer a question for me. So many phenomena and problems can be modelled using mathematics. I really enjoyed making a model to describe how the virus we studied spread. Every engineering or science student should take this course!"

"This course is excellent! I am an engineer, but have been working in another field for almost 2 decades, totally away from calculus, and this is exactly what I was looking for in order to brush up. I loved the videos and the questions as well. They are crafted in a very clever way to sediment concepts just learned."