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Matrix Algebra for Engineers

The Hong Kong University of Science and Technology via Coursera

24 Reviews 1461 students interested
  • Provider Coursera
  • Subject Algebra & Geometry
  • Cost Free Online Course (Audit)
  • Session In progress
  • 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 24 reviews

  • 5 stars 88%
  • 4 stars 13%
  • 3 star 0%
  • 2 star 0%
  • 1 star 0%

Did you take this course? Share your experience with other students.

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  • 1
Anonymous
5.0 5 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 4 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 5 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 6 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 4 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 5 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 5 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 5 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 4 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
4.0 2 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 3 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 4 weeks 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
Mostafa A
5.0 3 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 a month 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 2 weeks 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
Anonymous
5.0 2 months ago
Anonymous completed this course.
Really good course to start linear algebra. Good intuition with good logic to understand the entire material. Instructor’s voice is also great to concentrate
Was this review helpful to you? Yes
Anonymous
5.0 2 months ago
Anonymous completed this course.
It was really helpful to get basic ideas of linear algebra. This course is beneficial for absolute beginners like me. This is the very useful course so far for me.
Was this review helpful to you? Yes
Anonymous
5.0 2 months ago
Anonymous completed this course.
This course is really well organized and comes with a pdf textbook that completely covers the lectures. The teacher did a great job of explaining the material.
Was this review helpful to you? Yes
Anonymous
5.0 3 months ago
Anonymous completed this course.
GREAT INSTRUCTOR; explains harder topics in an easy way. approaches problems in a great way and is able to create general rules for solving certain problems.
Was this review helpful to you? Yes
  • 1

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