This course is all about matrices, and concisely covers the linear algebra that an engineer should know. The mathematics in this course is presented at the level of an advanced high school student, but typically students should take this course after completing a university-level single variable calculus course. There are no derivatives or integrals in this course, but students are expected to have attained a sufficient level of mathematical maturity. Nevertheless, anyone who wants to learn the basics of matrix algebra is welcome to join.
This course is part of the Mathematics for Engineers Specialization
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Mathematics for Engineers SpecializationThe Hong Kong University of Science and TechnologyAbout this Course
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Course 1 of 5 in the
Beginner Level
Approx. 20 hours to complete
English
Subtitles: Arabic, French, Portuguese (European), Italian, Vietnamese, German, Russian, English, Spanish
What you will learn
Matrices
Systems of Linear Equations
Vector Spaces
Eigenvalues and eigenvectors
Flexible deadlines
Reset deadlines in accordance to your schedule.
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Course 1 of 5 in the
Beginner Level
Approx. 20 hours to complete
English
Subtitles: Arabic, French, Portuguese (European), Italian, Vietnamese, German, Russian, English, Spanish
Offered by
The Hong Kong University of Science and Technology
HKUST - A dynamic, international research university, in relentless pursuit of excellence, leading the advance of science and technology, and educating the new generation of front-runners for Asia and the world.
Syllabus - What you will learn from this course
6 hours to complete
MATRICES
Matrices are rectangular arrays of numbers or other mathematical objects. We define matrices and how to add and multiply them, discuss some special matrices such as the identity and zero matrix, learn about transposes and inverses, and define orthogonal and permutation matrices.
6 hours to complete
11 videos (Total 84 min), 27 readings, 6 quizzes
4 hours to complete
SYSTEMS OF LINEAR EQUATIONS
A system of linear equations can be written in matrix form, and can be solved using Gaussian elimination. We learn how to bring a matrix to reduced row echelon form, and how this can be used to compute a matrix inverse. We learn how to find the LU decomposition of a matrix, and how to use this decomposition to efficiently solve a system of linear equations with evolving right-hand sides.
4 hours to complete
7 videos (Total 71 min), 6 readings, 4 quizzes
5 hours to complete
VECTOR SPACES
A vector space consists of a set of vectors and a set of scalars that is closed under vector addition and scalar multiplication and that satisfies the usual rules of arithmetic. We learn some of the vocabulary and phrases of linear algebra, such as linear independence, span, basis and dimension. We learn about the four fundamental subspaces of a matrix, the Gram-Schmidt process, orthogonal projection, and the matrix formulation of the least-squares problem of drawing a straight line to fit noisy data.
5 hours to complete
13 videos (Total 140 min), 14 readings, 6 quizzes
5 hours to complete
EIGENVALUES AND EIGENVECTORS
An eigenvector of a matrix is a nonzero column vector that when multiplied by the matrix is only multiplied by a scalar, called the eigenvalue. We learn about the eigenvalue problem and how to use determinants to find the eigenvalues of a matrix. We learn how to compute determinants using the Laplace expansion, the Leibniz formula, or by row or column elimination. We also learn how to diagonalize a matrix using its eigenvalues and eigenvectors, and how this leads to an easy calculation of a matrix raised to a power.
5 hours to complete
13 videos (Total 120 min), 20 readings, 5 quizzes
Reviews
- 5 stars88.28%
- 4 stars10.38%
- 3 stars0.97%
- 2 stars0.16%
- 1 star0.18%
TOP REVIEWS FROM MATRIX ALGEBRA FOR ENGINEERS
by AWOct 17, 2021
Excellent course. The lectures and accompanying textbook and examples really helped to reinforce the material. Dr. Chasnov is a great teacher, and I plan to take more courses from him
by JPJan 12, 2021
It teaches quite a lot about the fundamentals of linear algebra. I do wish that there were more examples but maybe it also depends on the learner if they want to learn more problems.
by MLJun 27, 2020
very helpful course in the study of linear algebra. Strong concepts of matrices, character equations, vector spaces, sub spaces and many more interesting and challenging topics
by OTJan 4, 2020
Very good and straight-forward course. Very engineering-oriented (not many proofs). I had already learnt matrix algebra before so this was a good way to recall my previous knowledge.
About the Mathematics for Engineers Specialization
This specialization was developed for engineering students to self-study engineering mathematics. We expect students are already familiar with single variable calculus and computer programming. Students will learn matrix algebra, differential equations, vector calculus and numerical methods. MATLAB programming will be taught. Watch the promotional video!
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