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Modelling Real-World Problems with Differential Equations
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Modelling Real-World Problems with Differential Equations

Learn to model complex systems using differential equations in this hands-on 6-week course from DelftX.

Course Cost

₹ 11,803

Intermediate

Skill Level

6 Weeks

Self-paced lessons

Master the art of mathematical modelling using differential equations in this comprehensive course. Learn to analyze real-world problems, formulate them as mathematical models, calculate solutions, and validate results. Explore ordinary differential equations, systems of equations, and numerical methods like Euler's method. Gain practical experience through hands-on exercises and Python programming. This course is ideal for Bachelor students in Mathematics, Engineering, and Science, as well as professionals seeking to apply differential equations to solve real-world problems.

What you'll learn

  • Follow the mathematical modelling cycle to solve real-world problems

  • Analyze and utilize ordinary differential equations and systems of equations

  • Implement Euler's method for solving differential equations using Python

  • Apply differential equations to model population growth and virus spread

  • Develop skills in formulating complex real-life problems as mathematical models

  • Validate and interpret results of mathematical models

  • Understand the interaction of variables in systems of differential equations

  • Gain practical experience in scientific computing and numerical methods

Skills you'll gain

Mathematical Modeling
Differential Equations
Python Programming
Euler's Method
Systems of Equations
Numerical Methods
Scientific Computing
Applied Mathematics

This course includes:

PreRecorded video

Graded assignments, exams

Access on Mobile, Tablet, Desktop

Limited Access access

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There are 3 modules in this course

This course introduces students to the mathematical modelling cycle using differential equations. It covers formulating real-life problems, constructing appropriate mathematical models, calculating solutions, and validating results. Students learn to analyze and use ordinary differential equations and systems of equations. The course includes practical implementation of Euler's method using Python programming. Topics include population dynamics, epidemic modeling, and predator-prey systems. The verified track offers additional problem sets on real-life applications to consolidate learned skills. The course emphasizes hands-on practice through well-crafted exercises, allowing students to apply theoretical knowledge to practical scenarios.

Introduction to the cycle of mathematical modelling

Module 1

Improving models and introducing Euler's method

Module 2

Systems of differential equations

Module 3

Fee Structure

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Faculties

These are the expert instructors who will be teaching you throughout the course. With a wealth of knowledge and real-world experience, they're here to guide, inspire, and support you every step of the way. Get to know the people who will help you reach your learning goals and make the most of your journey.

Modelling Real-World Problems with Differential Equations

Intermediate

Skill Level

6 Weeks

Self-paced lessons

Course Cost

₹ 11,803

Completion

CERTIFICATE

Frequently asked Questions

Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.