MATH2040B  Linear Algebra II  2022/23
Announcement
 Welcome to the course! No tutorial in the first week. Here is the course outline: [Download file]
 Please submit your Homework via Blackboard .
 Midterm 1 will take place during lecture time (1:302:15pm) on February 22. This is a closebook exam covering the first 2 chapters of the textbook; you should also consult Week 15 of the Lecture notes.
 Midterm 2 will take place during lecture time (1:302:15pm) on March 29. This is a closebook exam covering the first 5 chapters of the textbook (with an emphasis on Section 5.1 and 5.2). Calculator is not permitted/needed.
General Information
Lecturer

Prof. Zhongtao WU
 Office: LSB 216
 Tel: 39438578
 Email:
Teaching Assistant

Mr. Kam Fai CHAN
 Office: LSB 232
 Tel: 39435294
 Email:

Mr. Haiyu CHEN
 Office: AB1 614
 Tel: 39434109
 Email:
Time and Venue
 Lecture: Mo 11:30AM  1:15PM; We 1:30PM  2:15PM, Y.C. Liang Hall 103
 Tutorial: Mo 1:30PM  2:15PM; We 12:30PM  1:15PM, Y.C. Liang Hall 103
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 GramSchmidt process, adjoint, normal and selfadjoint 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.
Textbooks
 Friedberg, Insel and Spence, Linear algebra, Pearson (4th edition)
References
 Axler, Linear Algebra Done Right, 3rd edition, Springer
Lecture Notes
Tutorial Notes
 0.1 Last year tutorial notes
 0.2 tutorial 0 general information
 1. tutorial 1 vector space, span and linear independence
 2. tutorial 2 basis and dimension
 3. tutorial 3 linear maps, nullspace, range, ranknullity
 4. tutorial 4 matrix representation and change of basis
 5. tutorial 5 eigenvalue, eigenspace, diagonalizability, invariant subspace, Cayley Hamilton (updated)
 6. tutorial 6 Inner product spaces and their operators (updated)
Assignments
 HW1, due Jan 23
 HW2, due Feb 6
 HW3, due Feb 20
 HW4, due Mar 13
 HW5, due Mar 27
 HW6, due Apr 10
 HW7, due Apr 24
Quizzes and Exams
Solutions
Assessment Scheme
Homework  10%  
Midterm 1 (February 22)  20%  
Midterm 2 (March 29)  20%  
Final Exam  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:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: April 19, 2023 14:29:49