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Matrix Algebra for Engineers

The Hong Kong University of Science and Technology via Coursera

29 Reviews 1473 students interested
  • Provider Coursera
  • Subject Algebra & Geometry
  • Cost Free Online Course (Audit)
  • Session Upcoming
  • Language English
  • Certificate Paid Certificate Available
  • Effort 3-4 hours a week
  • Start Date
  • Duration 4 weeks long
  • Learn more about MOOCs

Taken this course? Share your experience with other students. Write review

Overview

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This course is all about matrices, and concisely covers the linear algebra that an engineer should know. We define matrices and how to add and multiply them, and introduce some special types of matrices. We describe the Gaussian elimination algorithm used to solve systems of linear equations and the corresponding LU decomposition of a matrix. We explain the concept of vector spaces and define the main vocabulary of linear algebra. We develop the theory of determinants and use it to solve the eigenvalue problem.

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 and drop out. 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.

The mathematics in this matrix algebra course is presented at the level of an advanced high school student, but typically students would take this course after completing a university-level single variable calculus course. There are no derivatives or integrals in this course, but student's are expected to have a certain level of mathematical maturity. Nevertheless, anyone who wants to learn the basics of matrix algebra is welcome to join.

Lecture notes may be downloaded at
https://bookboon.com/en/matrix-algebra-for-engineers-ebook
or
http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf

Watch the course overview video at
https://youtu.be/IZcyZHomFQc

Syllabus

WEEK 1

MATRICES

 

WEEK 2

SYSTEMS OF LINEAR EQUATIONS

 

WEEK 3

VECTOR SPACES

 

WEEK 4

EIGENVALUES AND EIGENVECTORS

Taught by

Jeffrey R. Chasnov

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Reviews for Coursera's Matrix Algebra for Engineers
4.9 Based on 29 reviews

  • 5 stars 90%
  • 4 stars 10%
  • 3 star 0%
  • 2 star 0%
  • 1 star 0%

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  • 1
Anonymous
5.0 6 months ago
Anonymous completed this course.
Learning materials are very organized and each problem always comes with examples. Since I am taking some other courses, the volume is bit larger for me. I wish I get more pair of exercise and solution per topic and ideally this could be 6 weeks. One of highlight is to compute the least square problem (fitting something) using matrix algebra and solving eigenvalue problem. The instructor often mentions about benefit using those algorithm in terms of the efficiency & cost of computation. This is nice indication for me because I'm software engineer who often just "use" existing math libraries, and now I can imagine how they wrote them. I might write my own someday :D
Was this review helpful to you? Yes
Anonymous
5.0 5 months ago
Anonymous completed this course.
Excellent course, thanks so much! Really like the fact that the videos were backed by a comprehensive set lecture notes with problems AND solutions, including some proofs. This made consuming the concepts much easier. All in all a lot to swallow in this course, but great to get acquainted again (20+ years) with this subject matter. You have an excellent manner of teaching, Jeff. Thank you!
Was this review helpful to you? Yes
Anonymous
5.0 6 months ago
Anonymous completed this course.
Professor Jeff Chasnov is a great teacher and I hope I had known his course when I first studied matrix at college. He's clear and humorous, and explains the concepts and examples really well. He is the key point that I have committed and finished this course. Thank you Professor Jeff Chasnov!
Was this review helpful to you? Yes
Archana D
5.0 7 months ago
by Archana completed this course.
Course is excellent. Exercises are very good for practice and for clearing concepts.Exams covered all topics properly. Thanks for making such a wonderful course.
Was this review helpful to you? Yes
Mustafa S
5.0 5 months ago
by Mustafa completed this course.
This course is exactly what every Engineering student must take in the first or second year of their engineering career.

Recommended to all!
Was this review helpful to you? Yes
Anonymous
5.0 6 months ago
Anonymous completed this course.
The videos made me understand all the concepts. Those

videos are understanding and are very useful. I have learnt a lot from the course.
Was this review helpful to you? Yes
Anonymous
5.0 6 months ago
Anonymous completed this course.
Quite a good course, not very complex and very useful. Everyone who wants to learn some hands-on matrix knowledge can take this course.
Was this review helpful to you? Yes
Kais H
4.0 6 months ago
by Kais completed this course.
very good course its really useful and i learn so much through this course , thanks for all who is help us to learn more and more .
Was this review helpful to you? Yes
Anonymous
5.0 5 months ago
Anonymous completed this course.
HIghly recommended. Clear and concise. Just the right amount delivered in a lucid, clear style. Look out for Jeff's other courses.
Was this review helpful to you? Yes
Anonymous
5.0 3 weeks ago
Anonymous completed this course.
The course was very well presented in three ways.

The first, the educator was very clear and the presentation technique through the use of a window board was

excellent. The educator's hands on approach through exposition and examples is to be commended.

The second the material is presented in a fashion that was not simple but not too hard to grasp given

effort. The reinforcement through the use of quizzes, with solved examples, and examination though

the use of tests, without solved examples, works.

The Third, the excellent text accompanying the course is first class.

This is a high quality course.
Was this review helpful to you? Yes
Anonymous
4.0 3 months ago
Anonymous completed this course.
The course understood the needs of science and engineering subject, focus on the necessary part of the theory and skills that is necessary to understand the professions knowledge and literature and presents them in a very clear manner, which is something important that some maths courses trends to forget. The emphasis on the usefulness of matrix actually help different area to think in a clearer way specially the vector space concepts and this actually help students to appreciate the beauty of such theory and will be more willing to learn more harassing maths.
Was this review helpful to you? Yes
Duc T
5.0 4 months ago
by Duc completed this course, spending 4 hours a week on it and found the course difficulty to be medium.
This was an interesting course, and I learned a lot about matrix algebra. I also took another course of him, which is Fibonacci Numbers and the Golden Ratio. This is the second course of professor Jeffrey Chasnov that I took, and I really like both of his courses. I hope that professor Jeffrey Chasnov will create some more interesting math courses in the future.
Was this review helpful to you? Yes
Adam C
5.0 2 months ago
Adam completed this course, spending 8 hours a week on it and found the course difficulty to be medium.
This is a really good course about Matrix Algebra, there are exercises for particular lectures which really help understand concepts. The quality of videos is high and there are no mistakes in quizzes. I really appreciated it. I would not mind if the course was a bit longer but well everything good ends too quickly.
Was this review helpful to you? Yes
Anonymous
5.0 3 weeks ago
Anonymous completed this course.
It was a wonderful refresher of my fundamentals of Vector Algebra. The course is very well designed for online learning. The instructor is very knowledgeable, clear and concise. I would highly recommend the course for all learners - both new and advanced with interest in Mathematical fundamentals underlying Engineering.
Was this review helpful to you? Yes
Anonymous
5.0 5 days ago
Anonymous is taking this course right now.
Taking this course is paramount important as it is going to enable me to counter some other hard courses such as Physics and Statistics in the near future.It is also going to be an instrumental in pushing me ahead and help me deal with my careers like Geology,Mathematics,Physics and Statistics.
Was this review helpful to you? Yes
Anonymous
5.0 4 days ago
Anonymous completed this course.
The content is very detailed, and the exercises are complementary to the lectures. But the teacher's intonation is too mild, which makes it difficult to concentrate. I hope the teaching skills could be improved. Overall, This is a good course and I really learned a lot.
Was this review helpful to you? Yes
Mostafa A
5.0 4 months ago
by Mostafa completed this course, spending 4 hours a week on it and found the course difficulty to be medium.
Thanks to prof. Jeff, the matrices is now more understandable, he professionally explains each lecture, and the practices after each lecture are so helpful.

I am looking forward to enroll in more courses by prof. Jeff.
Was this review helpful to you? Yes
Gaetano P
5.0 2 months ago
by Gaetano completed this course, spending 4 hours a week on it and found the course difficulty to be medium.
Very nice course. Really well teached. The materials and exercises are well preented. Prof. Chasnov has explained the fundamental concepts of linear algebra in a clear and friendly way.

Excellent course.
Was this review helpful to you? Yes
Anonymous
5.0 a month ago
Anonymous completed this course.
Jef led us, step by step, to understand the matrix and its related subject. The course recalls me of what I have learnt years ago, which was an awful memory. Jef turned it into a very beautiful one.
Was this review helpful to you? Yes
Anonymous
4.0 2 months ago
Anonymous completed this course.
Some of the abstract concepts like the vector spaces were still hard to understand from a short video. But, overall I feel the course is very good to get a background on Matrix algebra.
Was this review helpful to you? Yes
  • 1

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