MATH2040A - Linear Algebra II - 2018/19
Announcement
- Aug 28: Welcome to the course web. Here is the outline of the course: [Download file]
- Aug 29: No tutorial class in the first week; Classes (from 08:30 to 13:15) on Sept 3rd has been suspended due to the Inauguration Ceremony for Undergraduates that morning.
- Sept 27: Reminder: Midterm 1 will be held on Oct 8 (Mon) at 7:30pm in LSB LT1. Materials up to Chapter 1 and HW 3 will be covered.
- Oct 3: Two make-up lectures have been fixed in today's class. One is on Oct 5 (Friday), 6:30pm-9:00pm (Venue=LSB LT3), and the other is on Oct 13 (Saturday), 9:30am-11:30am (Venue=LSB C1)
- Oct 31: Midterm Two will be held on Nov 12 (Mon) at 7:30pm in LSB LT1. Covers are up to Topic 10 (Eigenvalue&eigenvector) and Homework 7.
General Information
Lecturer
-
DUAN Renjun
- Office: LSB 206
- Tel: 3943 7977
- Email:
- Office Hours: 9:00AM-10:15AM every Monday or by appointment
Teaching Assistant
-
CHEUNG Hang
- Office: LSB 222A
- Tel: 3943 3575
- Email:
-
WONG Siu Fung
- Office: AB1 407A
- Tel: 3943 3721
- Email:
-
YAU Yu Tung
- Office: AB1 505
- Tel: 3943 4298
- Email:
Time and Venue
- Lecture: Mon 10:30am - 12:15pm at LHC 106 and Wed 1:30pm - 2:15pm at ICS L1 (LHC=Y.C. Liang Hall, ICS=Institute of Chinese Studies)
- Tutorial: Wed 12:30pm - 1:15pm at ICS L1
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.
Textbooks
- Friedberg, Insel and Spence, Linear algebra, Pearson (4th edition)
References
- Axler, Linear Algebra Done Right, 3rd edition, Springer.
Lecture Notes
- Topic1 (Vector space)
- Topic2 (Subspace)
- Topic3 (Span & linear independence)
- Topic4 (Basis & dimension)
- Topic5 (Linear transformation)
- Topic6 (Null space, range, and dimension theorem)
- Topic7 (Matrix representation of a linear transformation)
- Topic8 (Invertibility&Isomorphism)
- Topic9 (Change of coordinates)
- Topic10(Eigenvalue&Eigenvector)
- Topic11(Diagonalizability)
- Summary on diagonalizability
- Topic12(Invariant subspace and Cayley-Hamilton theorem)
- Topic13(Inner product space)
- Topic14(GS orthogonalization)
- Topic15(Orthogonal complement)
- Topic16(Adjoint of a linear operator)
- Topic17(Normal operator and self-adjoint operator)
- Topic18(Unitary operator and orthogonal operator)
- Topic19(Spectral decomposition)
Tutorial Notes
- Tutorial 3 (updated on Oct 2)
- Tutorial 5 (updated on Oct 13)
- Tutorial 6 (updated on Oct 19)
- Tutorial 9 (updated on Nov 16)
- Tutorial 11 (updated on Dec 6)
- Tutorial 12 (updated on Dec 3)
Assignments
- Homework 1 (due on Sep 13)
- Homework 2 (due on Sep 20)
- Homework 3 (due on Sep 27)
- Homework 4 (due on Oct 11)
- Homework 5 (due on Oct 18; updated on Oct 12)
- Homework 6 (due on Oct 25)
- Homework 7 (due on Nov 1)
- Homework 8 (due on Nov 8)
- Homework 9 (due on Nov 15)
- Homework 10 (due on Nov 22)
- Homework 11 (due on Nov 29)
- Homework 12 (due on Dec 4) Note: This is due on Tuesday instead of Thursday!
Solutions
- Homework 1 Solution
- Homework 2 Solution
- Homework 3 Solution
- Homework 4 Solution
- Homework 5 Solution (updated Sec 2.3 Q4 and Q17 on 29/10)
- Midterm 1 Solution
- Homework 6 Solution
- Homework 7 Solution
- Homework 8 Solution (updated Q13 on 14 Nov)
- Homework 9 Solution
- Midterm 2 Solution
- Homework 10 Solution
- Homework 11 Solution
- Homework 12 Solution
Assessment Scheme
See University Blackboard | % |
Useful Links
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: January 04, 2019 17:37:24