MATH2040A  Linear Algebra II  2024/25
Announcement
 Aug 29: Welcome to the course. No tutorial in the first week. Here is the course outline [PDF]: [Download file]
General Information
Lecturer

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

Mr. Kam Fai CHAN
 Office: LSB 232
 Tel: 3943 5294
 Email:

Mr. Junhao ZHANG
 Office: LSB 232
 Tel: 3943 5294
 Email:
Time and Venue
 Lecture: Monday 15:3016:15 Mong Man Wai Bldg 710; Thursday 16:3018:15 Mong Man Wai Bldg 710
 Tutorial: Monday 16:3017:15 Mong Man Wai Bldg 710; Thursday 15:3016:15 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 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.
 Strang, Linear Algebra and Its Applications, 4th edition, Cengage Learning.
Preclass Notes
Lecture Notes
 LN01: Vector Space
 LN02: Subspace
 LN03: Span, Linearly (in)dependent
 LN04: Basis, (In)finitedimensional, Dimension
 LN05: Linear Transformations
 LN06: Null space, Range, Dimension Theorem
 LN07: Matrix Representation of a Linear Transformation
 LN08: Invertibility, Isomorphism
 LN09: Change of Coordinates
 LN10: Eigenvalue, Eigenvector, Diagonalizable Linear Transformation
Tutorial Notes
Assignments
Solutions
 Suggested solutions to Homework 1
 Suggested solutions to Homework 2
 Suggested solutions to Homework 3
 Suggested solutions to Homework 4
Assessment Scheme
Homework (about ten times)  10%  
Midterm Test (Time and date: 18302030 Oct 25 Friday; Venue: TBA)  40%  
Final (TBA by University)  50% 
Useful Links
 Axler, Linear Algebra Done Right, 3rd edition, Springer.
 Strang, Linear Algebra and Its Applications, 4th edition, Cengage Learning.
 Textbook via CUHK library
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: October 09, 2024 11:50:50