Linear Algebra and Space Analytic Geometry

Xiaozhou Li (李小舟)

Course Information

• Email: xiaozhouli@uestc.edu.cn

• Website: http://xiaozhouli.com

• http://xiaozhouli.com/teaching/la2021/index.html

• Offie: Innovation Center A-402.

• QQ Group: 727141544.

Textbook:

Linear Algebra its Applications,

by David C. Lay, Steven R. Lay and Judi J. McDonald. Fifth Edition, Pearson Education.

线性代数及其应用（原书第5版） by David C. Lay, Steven R. Lay and Judi J. McDonald.

机械⼯业出版社, 2018.

Reference book:

线性代数（第5版）

by Gilbert Strang. 清华⼤学出版社, .

Assessment Methods

• Examination (75%) - closed book mid term 20%, closed book final exam 55%

• Course work (15%) - homework, quizzes, attendance

• Project work (10%) - group project

Main Contents

• System of linear equations

• Matrices and operations

• Determinants

• Vector spaces

• Eigenvalues and Eigenvectors

• Quadratic forms and symmetric matrices

• Analytic geometry

Why? (Motivation)

Why? (Motivation)

• Very useful in modern society – Scientific research, engineering …

Some Applications of Linear Algebra

Linear Algebra Contributions to Boeing 787

Climate Simulations

cover the whole of Europe and the central Atlantic Ocean with a high-resolution grid size of only 2 km.

Some Applications of Linear Algebra

COVID-19

In these days, there is a necessity for us to make results available very quickly, even before publication.

Some Applications of Linear Algebra

Some Applications of Linear Algebra

Some Applications of Linear Algebra

Artificial Intelligence

Some Applications of Linear Algebra

Why? (Motivation)

• Very useful in modern society – Scientific research, engineering …

• Fundamental course for many other courses

• other mathematical courses,

• courses in science, technology, finance and management.

• Train you to have good abstractly reasoning ability. To think abstractly and mathematically.

How to Learn

• From asked to study to want to study

• Not only in class but also off class

• Not only knowledge but also ways to learn and to study (research, solve problem)

• Learn to be independent, to be free, to be responsible and to judge

• Establish your own character

How to Learn

• Not knowing the answer doesn't make one a fool; never wanting to question does.

Learning How to Learn

A Mind for NumbersBy Barbara Oakley