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In this course, students will learn to analyze the chosen problem, formulate it as a mathematical model (containing ordinary differential equations), solve the equations in the model, and validate the results. Along with this, it will emphasize on how to follow the process of the mathematical modeling cycle, formulate and specify a real-life problem and construct appropriate ordinary differential equations with relevant parameters and conditions.

### Assessment

This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

### Certification

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Course Credit: TU Delft

### Course Curriculum

 Module: 01 1.1 Why mathematical modelling? 00:04:00 Example 1: Wind gusts around a building 1 00:01:00 Example 1: Wind gusts around a building 2 00:01:00 Example 2: Sediment in an estuary 00:01:00 Modelling cycle 00:03:00 The modelling cycle in this course 00:04:00 Mathematical model 00:06:00 Calculation 1: Direction field & Equilibrium solution 00:06:00 Calculation 2: Phase line & Stability 00:04:00 Specify your problem 00:04:00 Module: 02 2.1 Mathematical model 00:05:00 2.3 Calculation (Euler’s method) 00:05:00 2.3 Calculation (with Python) 00:08:00 3.1 Interaction Mathematical model 00:05:00 3.1 Interaction Calculation 00:05:00 3.3 Calculation (saddle points and nodes) 00:06:00 4.1 Introduction to scientific writing 00:03:00 4.3 Introduction 00:02:00 4.4 References and citations 00:02:00 Assessment Submit Your Assignment 00:00:00 Certification 00:00:00

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