University of Huddersfield

Differential Equations & Advanced Applications

University of Huddersfield

Differential Equations & Advanced Applications

Stavros Richard Christopoulos

Instructor: Stavros Richard Christopoulos

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Gain insight into a topic and learn the fundamentals.
Intermediate level

Recommended experience

1 week to complete
at 10 hours a week
Flexible schedule
Learn at your own pace
Gain insight into a topic and learn the fundamentals.
Intermediate level

Recommended experience

1 week to complete
at 10 hours a week
Flexible schedule
Learn at your own pace

What you'll learn

  • Apply product, quotient, and chain rules to solve real-world rate-of-change problems in science and business.

  • Use derivatives for optimization, identifying maxima, minima, and inflection points in practical applications.

  • Perform implicit and higher-order differentiation to model interdependent variables and dynamic systems.

  • Apply derivatives to gradient estimation, curve analysis, and optimization in data science and engineering.

Details to know

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Assessments

8 assignments

Taught in English
Recently updated!

February 2026

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There are 4 modules in this course

This week you will begin solving first-order linear ordinary differential equations using integrating factors. You can also explore how these equations model real-world systems and practice solving them step by step.

What's included

2 videos7 readings2 assignments

This week introduces you to second-order linear ODEs with constant coefficients. You will learn to solve them using characteristic equations and apply your understanding to model dynamic systems.

What's included

2 videos6 readings2 assignments

This week you will continue to explore second-order ODEs by applying initial and boundary conditions to find unique solutions. You will also explore integrating factors and real-world applications such as mechanical and electrical systems.

What's included

2 videos10 readings2 assignments

The focus in this module is moving to partial differentiation, where you will learn to compute partial derivatives for multivariable functions. You can then practice interpreting these derivatives in context and apply them to data modelling.

What's included

2 videos7 readings2 assignments1 plugin

Prepare for a degree

Taking this course by University of Huddersfield may provide you with a preview of the topics, materials and instructors in a related degree program which can help you decide if the topic or university is right for you.

Instructor

Stavros Richard Christopoulos
University of Huddersfield
2 Courses 154 learners

Offered by

University of Huddersfield

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