Linear Algebra and Analytic Geometry

Overview

Reviews

spContent=Linear Algebra is an important subject in applications and theories. It is essential in the following hot technology fields, such as Machine Learning, Big Data and Artificial Intelligence, and fundamental subjects, such as Quantum Mechanics, Multivariate statistics and Differential Equations. The contents studied in Linear Algebra will help you to learn your future courses. You also can enhance your logic thinking ability during the study of this course.

—— Instructors

About this course

Linear Algebra is a public basic course for science, engineering and management freshmen. We choose North America popular text book, “Linear Algebra and Its Applications” by David Lay as our text book. If you are planning to study abroad, this course will help you familiar with the material and improve your English. You will learn systems of linear equations, matrices, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality, least squares, symmetric matrices and quadratic forms. The material is different from the linear algebra course in China. It is easy to learn from systems of linear equations that we are familiar with. You will see more informations about linear transformations which will help you understand some essential concepts in linear algebra.

This course is taught by blackboard teaching method which indicate proof process clearly and easy to understand.

Objectives

Learn concepts in linear algebra, such as linear systems, matrices, vector spaces, eigenvectors and eigenvalues, quadratic forms. Master the abilities of solving a linear system, find the rank of a matrix, finding a basis for a vector space, determining if a matrix is diagonalizable. Enhance the logical thinking ability. Have an idea to use linear algebra solve problems in real life.

Syllabus

Prerequisites

High school math

References

"Linear Algebra and its Applications", David Lay, 4th ed.