Linear Algebra

课程详情

课程评价

spContent=“LInear Algebra” is a very important undergraduate mathematical course.
As Rene Descartes, a French mathematician said
"all problems can be transformed into mathematical problems, all mathematical problems can be transformed into algebraic problems, and all algebraic problems can be transformed into equations."

—— 课程团队

课程概述

Linear algebra is an important component of undergraduate mathematics. The course content covers fundamental concepts of linear algebra such as solving linear system of equations, vector/matrix algebraic theory, determinant and its properties, vector space, linear transformations, orthogonality, eigenvalues, eigenvectors and applications to linear differential equations, Least squares and projections. With its strong logic, abstract feature and wide applications, linear algebra mainly discusses the linear theory and method of the finite-dimensional linear space. With the fast development of science and technology, there are many problems in Big data, Artificial Intelligence, Cloud calculation etc. concerning the fundamental matrix theory and systems of linear equations.

The famous French mathematician called Rene Descartes said “all problems can be transformed into mathematical problems, and all mathematical problems can be transformed into algebraic problems, and all algebraic problems can be transformed into equations .” Therefore, once the equation problem has been solved, all problems will be solved!

Furthermore, elementary linear algebra is a valuable introduction to mathematical abstraction and logical reasoning because the theoretical development is

self-contained, consistent, and accessible to most students.

Thus, After learning this course, you will master not only matrix theory and systems of linear equations, vector space, eigenvalue etc., but also have the ability of matrix operation, matrix methods to solve some practical problems. We hope this course will help you to build the essential mathematics for the study of follow-up courses and other academic subjects, the further broadening of mathematical knowledge and the improvement of mathematical attainment.

Dear students, the main objective of this course is to develop students’ abstract thinking and to train the students’ practical ability.

授课目标

After learning this course, you will master not only matrix theory and systems of linear equations, vector space, eigenvalue etc., but also have the ability of matrix operation, matrix methods to solve some practical problems. We hope this course will help you to build the essential mathematics for the study of follow-up courses and other academic subjects, the further broadening of mathematical knowledge and the improvement of mathematical attainment.

课程大纲

预备知识

Caculus 1 and Primary Mathematics

证书要求

一，本课程学习环节包含：观看讲课视频、完成单元测验题、单元作业，参与课堂讨论，参加期末考试。

二、课程学习成绩由四部分构成：

（1）观看视频30%

（2）单元章节习题作业20%

（3）讨论（试题和讨论区）和测验作业20%

（4）课程考试：课程结束后，参加课程期末考试，占课程成绩的30%；

三、完成课程学习，成绩合格可付费申请证书。证书分两种等级：总评成绩再60-84分为合格zhe证书，总成绩在85-100分为优秀证书。

参考资料

Textbook: Steven J. Leon, Linear Algebra with Applications (Ninth Edition), China Machine Press, 2012

References:

(1)Elementary Linear Algebra, 7th Edition, Larson. Gilbert Strang,

(2) Introduction to Linear Algebra, 3th edition, Wellesley-Cambridge Press, 2003.

(3) Student Guide to Linear Algebra with Applications, ISBN 0-13-600930-1.

(4) A special Web site to accompany the 8th edition: www.pearsonhighered.com/leon

(5) The collection of software tools (M-files) downloaded from the ATLAST Web site:

www.umassd.edu/specialprograms/atlast