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Overall Score : 96 / 100

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Course Description

This 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. We will also learn about systems of linear differential equations, including the very important normal modes problem. Finally, we will learn 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.

Instructor Details

Jeffrey R. Chasnov

Jeffrey R. Chasnov is a Professor of Mathematics at the Hong Kong University of Science and Technology, where he has been teaching since 1993. He is an expatriate American from New York and California, and earned his BA from UC Berkeley and PhD from Columbia University, with post-doctoral fellowships at NASA, Stanford, and Grenoble, France, and a sabbatical semester at Harvey Mudd College. He is the author of numerous research articles in fluid turbulence and mathematical biology, and has authored online textbooks and videos for his courses on differential equations, matrix algebra, mathematical biology and scientific computation. Before and after work, he enjoys family life, swimming and tennis, and takes great pleasure in his family's annual camping and skiing vacations.



48 total reviews

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By Neeraj K on 7-Apr-19

This a very helpful course. Very well designed. It is very helpful to have the instructor actively responding to queries. Learned a lot and in detail about the differential equations and its applications.

By Natan B on 15-May-19

excellent! this is a very introduction to differential equations, and every point is divided properly so it is easy to follow and the instructor is very patient to illustrate all the material, by the way , the handout could be printed, extremely convenient.

By Craig W on 23-May-19

I can't be thankful enough for this course. It was a life changing for me. Thank you VERY much!

By Galanomatis K on 16-Mar-19

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.

By Jos E D d S on 26-Mar-19


By Armando R E on 3-Apr-19

the course was very helpful to my career of learning

By carl r on 3-Apr-19

Thank you Prof. Chasnov. The lectures are really impressive and explain derivations throughly. I cannot enjoy more on a math course than this one.

By Felipe A M S on 2-Apr-19

it is very nice course to learn and very interesting

By on 3-Apr-19

Was amazing learning something new in this course under our beloved professor.

By Rolex M on 3-Apr-19

so good ,it helped me develope my mathematical skills

By Ina L on 6-Apr-19


By Mehdi H on 7-Apr-19

this course helped me a lot.