MATH2040A  Linear Algebra II  2022/23
Announcement
 Aug 29: Welcome to the course. Here is the course outline [PDF]: [Download file]
 Sep 5: In the 1st week Tutorial Lecture on Sep 8th Thursday has changed to Course Lecture. Thus, the course lecture on Sep 8th will start from 4:30pm and end at 6:15pm.
 Sep 23: Be reminded that Test 1 will start at 1830 on October 12 Wed with duration 90 minutes (Venue: LSB LT6). It is a closebook test covering 6 topics from Topic 1 to Topic 6 (see the course review notes below).
 Nov 4: Be reminded that Test 2 will start at 1830 on November 16th Wed with duration 90 minutes (Venue: LSB LT6). It is a closebook test covering 6 topics from Topic 7 to Topic 12 (see the course review notes below).
General Information
Lecturer

Prof Renjun DUAN
 Office: LSB 206
 Tel: 3943 7977
 Email:
Teaching Assistant

Mr. Zongguang LI
 Office: LSB 232
 Tel: 3943 5294
 Email:

Mr. Kam Fai CHAN
 Office: LSB 232
 Tel: 3943 5294
 Email:
Time and Venue
 Lecture: Tuesday 10:3012:15 Yasumoto Int'l Acad Park LT2; Thursday 16:3017:15 Lady Shaw Bldg LT3
 Tutorial: Thursday 17:3018:15 Lady Shaw Bldg LT3
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, 4th edition, Pearson.
References
 Axler, Linear Algebra Done Right, 3rd edition, Springer.
Preclass Notes
Lecture Notes
 Topic01 (Vector space)
 Topic02 (Subspace)
 Topic03 (Span, Linearly independent)
 Topic04 (Basis, Dimension)
 Topic05 (Linear transformation)
 Topic06 (Dimension theorem)
 Topic07 (Matrix representation)
 Topic08 (Invertibility)
 Topic09 (Change of coordinates matrix)
 Topic10 (Eigenvector)
 Topic11 (Diagonalizability)
 Topic12 (CayleyHamilton Theorem)
 Topic13 (Inner product space)
 Topic14 (GramSchmidt orthogonalization)
 Topic15 (Orthogonal complement)
 Topic16 (Adjoint of a linear operator)
 Topic17 (Normal/Selfadjoint operator)
 Topic18 (Unitary/Orthogonal operator)
 Topic19 (Spectral decomposition)
Assignments
Quizzes and Exams
Solutions
Assessment Scheme
Homework (about ten times)  10%  
Test 1 (Time and date: 18302000 Oct 12 Wed; Venue: LSB LT6)  20%  
Test 2 (Time and date: 18302000 Nov 16 Wed; Venue: LSB LT6)  20%  
Final (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:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: November 29, 2022 14:50:44