MATH2040A - Linear Algebra II - 2019/20

Course Name: 
Course Year: 


  • Welcome to the course! Here is the course outline: [Download file]
  • Lectures on Oct 8 (Tue), Oct 10 (Thu), Oct 15 (Tue) and Oct 17 (Thu) will be cancelled.
  • Makeup lectures will be held on Sep 28 (Sat) and Oct 19 (Sat), both at LSB LT2 during 9:30am - 12:15pm.
  • No tutorial class in the first week.
  • Midterm 1 will be held from 7:30pm at LSB LT6 on Oct 11th (Fri), and covers will be up to Topic 6 (inclusive) of the course lectures; see the Review PDF [Download file]
  • [Cancelled] Midterm 2 will be held from 7:30pm at LSB LT6 on Nov 15th (Fri), and covers will be only Topics 7-12 (inclusive) of the course lectures; see the Review PDF [Download file]
  • 24 Nov: The grades of this course are determined according to the completed continuous assessment including 8 homework assignments and 1 midterm exam. Thereby the grades are computed by the formula [(H1+H2+…+H8)/8+M1*20%]*(100/30). The final grades will be discussed and approved in the assessment panel, and further will be announced in due course according to the arrangement of the university.

General Information


  • DUAN Renjun
    • Office: LSB 206
    • Tel: 3943-7977
    • Email:
    • Office Hours: 2:00pm-4:00pm each Thursday

Teaching Assistant

  • TSE Ka Nap
    • Office: LSB 232
    • Tel: 3943-5294
    • Email:
    • Office Hours: 2:00pm-4:00pm each Tuesday
  • CHEN Hongru
    • Office: LSB 232
    • Tel: 3943-5294
    • Email:
    • Office Hours: 10:00a.m.-12:00p.m. each Friday

Time and Venue

  • Lecture: Tu 10:30AM - 12:15PM, Science Centre L5; Th 4:30PM - 5:15PM, Mong Man Wai Bldg 710
  • Tutorial: Th 5:30PM - 6:15PM, Mong Man Wai Bldg 710

Course Description

This course is a continuation of Linear Algebra I (MATH 1030). It is a second course on linear algebra and will cover basic concepts of abstract vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalizability, operators on inner product spaces, orthogonality and Gram-Schmidt process, adjoint, normal and self-adjoint operators, spectral theorems, and if time permits, quadratic forms and Jordan canonical forms. More emphasis will be put on the theoretical understanding of basic concepts in linear algebra.


  • Friedberg, Insel and Spence, Linear algebra, 4th edition, Pearson.


  • Axler, Linear Algebra Done Right, 3rd edition, Springer.

Lecture Notes

Tutorial Notes


Quizzes and Exams


Assessment Scheme

Homework 10%
Midterm 1 (Oct 11th, Friday, from 7:30pm, LSB LT6) 20%
Midterm 2 (Nov 15th, Friday, from 7:30pm, LSB LT6) 20%
Final Exam (The date TBA by University) 50%

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: November 24, 2019 11:42:18