Mathematical Modeling Basics, Certificate | Part time online | Delft University of Technology (TU Delft) | Netherlands
2 months
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How do populations grow? How do viruses spread? What is the trajectory of a glider? Many real-life problems can be described and solved by mathematical models. In this Mathematical Modeling Basics course at Delft University of Technology (TU Delft), you will form a team with another student and work in a project to solve a real-life problem.


Key facts

You will learn to analyze your chosen problem, formulate it as a mathematical model (containing ordinary differential equations), solve the equations in the model, and validate your results. You will learn how to implement Euler's method in a Python program.

If needed, you can refine or improve your model, based on your first results. Finally, you will learn how to report your findings in a scientific way.

This Mathematical Modeling Basics course from Delft University of Technology (TU Delft) is mainly aimed at Bachelor students from Mathematics, Engineering and Science disciplines. However it will suit anyone who would like to learn how mathematical modeling can solve real-world problems.

What you'll learn:

  • To follow the process of the mathematical modeling cycle.
  • Formulate and specify a real-life problem.
  • Construct appropriate ordinary differential equations with relevant parameters and conditions.
  • Solve the ordinary differential equations and implement Euler's method in a (Python) program.
  • Validate the results of the calculation.
  • Write a scientific report in LaTeX about the mathematical model you construct.

Programme Structure

Course Syllabus:

  • Project: form a project team with another student.
  • Mathematical modeling cycle: Model a growing population of fish.
  • cycle of mathematical modeling. We will start describing a population of fish by a differential equation.
  • Project: you will choose an assignment and collect information about a real-life problem.
  • Mathematical modeling cycle: Complete more modeling cycles by improving on the model and evaluating the consequences. Euler's method is introduced for solving ordinary differential equations.
  • Project: Specify your real-life problem and choose values.
  • Mathematical modeling cycle: Predator fish are added to the model. How do the populations interact?
For more information please visit the progroamme website.

Key information


  • Part-time
    • 2 months

Start dates & application deadlines

You can apply for and start this programme anytime.





Academic requirements

We are not aware of any specific GRE, GMAT or GPA grading score requirements for this programme.

English requirements

We are not aware of any English requirements for this programme.

Other requirements

General requirements

  • Calculus (1st-order ordinary differential equations)
  • Experience with programming

Tuition Fee

To always see correct tuition fees
  • International

    Tuition Fee
    Based on the tuition of 0 EUR for the full programme during 2 months.
  • EU/EEA

    Tuition Fee
    Based on the tuition of 0 EUR for the full programme during 2 months.

Free | Earn certificate for $139


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Mathematical Modeling Basics
Delft University of Technology (TU Delft)
Mathematical Modeling Basics
Delft University of Technology (TU Delft)


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