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.
Dieser Kurs ist Teil der Spezialisierung Spezialisierung Mathematics for Engineers
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Spezialisierung Mathematics for EngineersThe Hong Kong University of Science and TechnologyÃœber diesen Kurs
74.248 kürzliche Aufrufe
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Zertifikat zur Vorlage
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Beginnen Sie sofort und lernen Sie in Ihrem eigenen Tempo.
Kurs 1 von 5 in
Stufe „Anfänger“
Ca. 20 Stunden zum Abschließen
Englisch
Untertitel: Arabischer Raum, Französisch, Portugiesisch (europäisch), Italienisch, Vietnamesisch, Deutsch, Russisch, Englisch, Spanisch
Was Sie lernen werden
Matrices
Systems of Linear Equations
Vector Spaces
Eigenvalues and eigenvectors
Flexible Fristen
Setzen Sie Fristen gemäß Ihrem Zeitplan zurück.
Zertifikat zur Vorlage
Erhalten Sie nach Abschluss ein Zertifikat
100Â % online
Beginnen Sie sofort und lernen Sie in Ihrem eigenen Tempo.
Kurs 1 von 5 in
Stufe „Anfänger“
Ca. 20 Stunden zum Abschließen
Englisch
Untertitel: Arabischer Raum, Französisch, Portugiesisch (europäisch), Italienisch, Vietnamesisch, Deutsch, Russisch, Englisch, Spanisch
von
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.
Lehrplan - Was Sie in diesem Kurs lernen werden
6 Stunden zum Abschließen
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 Stunden zum Abschließen
11 Videos (Gesamt 84 min), 27 Lektüren, 6 Quiz
4 Stunden zum Abschließen
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 Stunden zum Abschließen
7 Videos (Gesamt 71 min), 6 Lektüren, 4 Quiz
5 Stunden zum Abschließen
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 Stunden zum Abschließen
13 Videos (Gesamt 140 min), 14 Lektüren, 6 Quiz
5 Stunden zum Abschließen
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 Stunden zum Abschließen
13 Videos (Gesamt 120 min), 20 Lektüren, 5 Quiz
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Top-Bewertungen von MATRIX ALGEBRA FOR ENGINEERS
von SK20. Aug. 2020
Great videos. The examples were very helpful. I did not come from a huge math background and I was still able to understand the course and do all the problems. Thank you very much.
von RH6. Nov. 2018
Very well-prepared and presented course on matrix/linear algebra operations, with emphasis on engineering considerations. Lecture notes with examples in PDF form are especially helpful.
von JR4. Aug. 2021
This is a carefully sequenced, content-rich introduction to Matrices; beware skimming over details: eg. the use of matrix formalism to solve the least squares problem is little short of magic.
von UB7. Juni 2020
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 . The videos made me understand all the concepts.
Ãœber den Spezialisierung Mathematics for Engineers
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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