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
This course includes:
PreRecorded video
Graded assignments, exams
Access on Mobile, Tablet, Desktop
Limited Access access
Shareable certificate
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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.
Frequently asked Questions
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