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.
Este curso faz parte do Programa de cursos integrados Mathematics for Engineers
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Programa de cursos integrados Mathematics for EngineersUniversidade de Ciência e Tecnologia de Hong KongInformações sobre o curso
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Curso 1 de 5 no
Nível iniciante
Aprox. 20 horas para completar
Inglês
Legendas: Árabe, Francês, Portuguese (European), Italiano, Vietnamita, Alemão, Russo, Inglês, Espanhol
O que você vai aprender
Matrices
Systems of Linear Equations
Vector Spaces
Eigenvalues and eigenvectors
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
Certificados compartilháveis
Tenha o certificado após a conclusão
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Curso 1 de 5 no
Nível iniciante
Aprox. 20 horas para completar
Inglês
Legendas: Árabe, Francês, Portuguese (European), Italiano, Vietnamita, Alemão, Russo, Inglês, Espanhol
oferecido por
Universidade de Ciência e Tecnologia de Hong Kong
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.
Programa - O que você aprenderá com este curso
6 horas para concluir
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 horas para concluir
11 vídeos (Total 84 mín.), 27 leituras, 6 testes
4 horas para concluir
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 horas para concluir
7 vídeos (Total 71 mín.), 6 leituras, 4 testes
5 horas para concluir
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 horas para concluir
13 vídeos (Total 140 mín.), 14 leituras, 6 testes
5 horas para concluir
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 horas para concluir
13 vídeos (Total 120 mín.), 20 leituras, 5 testes
Avaliações
- 5 stars88,21%
- 4 stars10,43%
- 3 stars0,99%
- 2 stars0,16%
- 1 star0,19%
Principais avaliações do MATRIX ALGEBRA FOR ENGINEERS
por JR4 de ago de 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.
por SA5 de abr de 2019
Very informative and well organized. The faculty is very responsive when it comes to queries. This is the second course that I have taken by this faculty. Looking forward to more!
por JJ11 de ago de 2020
I took this course after taking all the classes related to it at Uni. Somehow all of it so easily simplied in this course that it's unbelievable. Looking foward to take more courses.
por CG2 de mar de 2019
Chasnov is outstanding! You will love the course but above all you will adore the way Chasnov marches on through the course and you are acquiring knowledge... He is a real instructor!
Sobre Programa de cursos integrados 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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