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.
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課程信息
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第 1 門課程（共 5 門）
初級
完成時間大約為20 小時
英語（English）
字幕：阿拉伯語（Arabic）, 法語（French）, （歐洲人講的）葡萄牙語, 意大利語, 越南語, 德語（German）, 俄語（Russian）, 英語（English）, 西班牙語（Spanish）
您將學到的內容有
Matrices
Systems of Linear Equations
Vector Spaces
Eigenvalues and eigenvectors
可靈活調整截止日期
根據您的日程表重置截止日期。
可分享的證書
完成後獲得證書
100% 在線
立即開始，按照自己的計劃學習。
第 1 門課程（共 5 門）
初級
完成時間大約為20 小時
英語（English）
字幕：阿拉伯語（Arabic）, 法語（French）, （歐洲人講的）葡萄牙語, 意大利語, 越南語, 德語（German）, 俄語（Russian）, 英語（English）, 西班牙語（Spanish）
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香港科技大学
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.
授課大綱 - 您將從這門課程中學到什麼
完成時間為 6 小時
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.
完成時間為 6 小時
11 個視頻 （總計 84 分鐘）, 27 個閱讀材料, 6 個測驗
完成時間為 4 小時
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.
完成時間為 4 小時
7 個視頻 （總計 71 分鐘）, 6 個閱讀材料, 4 個測驗
完成時間為 5 小時
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.
完成時間為 5 小時
13 個視頻 （總計 140 分鐘）, 14 個閱讀材料, 6 個測驗
完成時間為 5 小時
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.
完成時間為 5 小時
13 個視頻 （總計 120 分鐘）, 20 個閱讀材料, 5 個測驗
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- 3 stars0.97%
- 2 stars0.16%
- 1 star0.18%
來自MATRIX ALGEBRA FOR ENGINEERS的熱門評論
由 JS 提供2022年1月16日
With regards to my course and program, this was relevant. Although I was behind on some weeks, it was because some of the topics were not in concurrence with my course, but this course really helped.
由 RH 提供2018年11月6日
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.
由 TL 提供2021年11月12日
Understood things in much more detailed point of view....topics covered we're really useful for my future pre-requisites.. Thankyou Jeff sir.. Really a great learning experience
由 CG 提供2019年3月2日
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!
關於 Mathematics for Engineers 專項課程
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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