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**

Edukite courses are free to study. To successfully complete a course you must submit all the assignment of the course as part of the assessment. Upon successful completion of a course, you can choose to make your achievement formal by obtaining your Certificate at a cost of £49.

Having an Official Edukite Certification is a great way to celebrate and share your success. You can:

- Add the certificate to your CV or resume and brighten up your career
- Show it to prove your success

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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