<progress id="16e0o"></progress><span id="16e0o"></span>

  1. <track id="16e0o"><video id="16e0o"></video></track>
    <ruby id="16e0o"><output id="16e0o"></output></ruby>

      面向工程師的矩陣代數

      Matrix Algebra for Engineers

      This course is all about matrices, and concisely covers the linear algebra that an engineer should know.

      香港科技大學

      Coursera

      數學與統計

      簡單(初級)

      13 小時

      Sponsored\Ad:本課程鏈接由Coursera和Linkshare共同提供
      • 英語
      • 1371

      課程概況

      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
      youtu.be/IZcyZHomFQc

      課程大綱

      周1
      完成時間為 7 小時
      MATRICES
      In this week's lectures, we learn about matrices. Matrices are rectangular arrays of numbers or other mathematical objects and are fundamental to engineering mathematics. We will 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.
      11 個視頻 (總計 84 分鐘), 25 個閱讀材料, 5 個測驗

      周2
      完成時間為 3 小時
      SYSTEMS OF LINEAR EQUATIONS
      In this week's lectures, we learn about solving a system of linear equations. A system of linear equations can be written in matrix form, and we can solve using Gaussian elimination. We will learn how to bring a matrix to reduced row echelon form, and how this can be used to compute a matrix inverse. We will also learn how to find the LU decomposition of a matrix, and how to use this decomposition to efficiently solve a system of linear equations.
      7 個視頻 (總計 71 分鐘), 6 個閱讀材料, 3 個測驗

      周3
      完成時間為 6 小時
      VECTOR SPACES
      In this week's lectures, we learn about 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 will learn some of the vocabulary and phrases of linear algebra, such as linear independence, span, basis and dimension. We will 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.
      13 個視頻 (總計 140 分鐘), 14 個閱讀材料, 5 個測驗

      周4
      完成時間為 6 小時
      EIGENVALUES AND EIGENVECTORS
      In this week's lectures, we will learn about determinants and the eigenvalue problem. We will learn how to compute determinants using a Laplace expansion, the Leibniz formula, or by row or column elimination. We will formulate the eigenvalue problem and learn how to find the eigenvalues and eigenvectors of a matrix. We will 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.

      Magoosh
      聲明:MOOC中國發布之課程均源自下列機構,版權均歸他們所有。本站僅作報道收錄并尊重其著作權益,感謝他們對MOOC事業做出的貢獻!(排名不分先后)
      • Coursera
      • edX
      • OpenLearning
      • FutureLearn
      • iversity
      • Udacity
      • NovoEd
      • Canvas
      • Open2Study
      • Google
      • ewant
      • FUN
      • IOC-Athlete-MOOC
      • World-Science-U
      • Codecademy
      • CourseSites
      • opencourseworld
      • ShareCourse
      • gacco
      • MiriadaX
      • JANUX
      • openhpi
      • Stanford-Open-Edx
      • 網易云課堂
      • 中國大學MOOC
      • 學堂在線
      • 頂你學堂
      • 華文慕課
      • 好大學在線CnMooc
      • 以及更多...
      本平臺部分課程由Coursera、Udemy及其推廣聯盟服務商Linkshare共同提供,本平臺合法享有相應的推廣收益。

      © 2008-2018 MOOC.CN 慕課改變你,你改變世界

      丁香五月婷婷