Back to Differential Equations for Engineers

This is a course is about differential equations, and covers material that all engineers should know. We will learn how to solve first-order equations, and how to solve second-order equations with constant coefficients and also look at some fundamental engineering applications. We will learn about the Laplace transform and series solution methods. Finally, we will learn about systems of linear differential equations, including the very important normal modes problem, and how to solve a partial differential equation using separation of variables. This solution method requires first learning about Fourier series.
After each video, there are problems to solve and I have tried to choose problems that exemplify the main idea of the lecture. I try to give enough problems for students to solidify their understanding of the material, but not so many that students feel overwhelmed. I do encourage students to attempt the given problems, but if they get stuck, full solutions can be found in the lecture notes for the course.
Lecture notes may be downloaded at
http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf...

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1 Reviews

By Michael O'Loughlin

•Mar 16, 2019

This course is on the whole very well explained by the tutor. He explains very well how equations arise in physical situations, much better than you would find in a textbook. The course is very well structured and the videos are are of a convenient length, about 10 minutes each, so that we are not overloaded with material. I am not an engineer and it is only now that I have an understanding of resonance and realise that it is the amplitude of the vibration that increases with time that causes the breaking of a glass or the destruction of a bridge. Although I scored highly in all the module quizzes I found the course very tough. It is essential to do all the practice questions and the intermediate quizzes along the way. I also found it useful to pause the video and work out derivations either before or after the tutor had done so. The only quibble I have is that the tutor sometimes worked out too much in his head. Now this is fine for someone who is already proficient but is not fine for learners who are meeting the material for the first time. In my experience small little things can often block a learner's progress. In addition to the video material there is also a pdf document of the lectures which contains worked solutions to the problems. Thus is useful for checking your own solutions against.

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