MATH2040B  Linear Algebra II  2016/17
Announcement
 There is no tutorial class in the first week.
 Practice problem set 1 has been posted. If you do not yet have a copy of the textbook, the relevant pages have been scanned below (it requires a password, which you should have received through email if you have registered on CUSIS).
 Practice problem set 2 has been posted.
 Practice problem set 3 has been posted.
 Practice problem set 4 has been posted.
 Classroom rearrangement: Wednesday's lecture will be held at Lady Shaw Building C1 from 10:30am12pm (instead of NAH 115)
 Practice problem set 5 has been posted.
 The first midterm will take place on Oct 18 (Tue) 7:309:00pm at LSB LT1. It will cover all the topics from the beginning of the course up to the (including) CayleyHamilton Theorem). This corresponds to Chapter 14, 5.1, 5.2 and 5.4 of the textbook. Please go to the test venue on time and bring your student ID.
 Practice problem set 6 has been posted.
 Practice problem set 7 has been posted.
 Practice problem set 8 has been posted.
 The second midterm will take place on Nov 15 (Tue) 7:309:00pm at LSB LT1. It will cover all topics all the topics in Sec 6.16.4 in the textbook (except least square approximation and minimal solution in Sec 6.3). That's, the materials in the lecture notes up to Lecture 19(1).
 Practice problem set 9 has been posted.
 Practice problem set 10 has been posted.
 Practice problem set 11 has been posted.
General Information
Lecturer

Ronald Lok Ming LUI
 Office: LSB 207
 Tel: 39437975
 Email:
Teaching Assistant

LEUNG LIU Yusan
 Office: LSB 222B
 Tel: 3943 7963
 Email:
 Office Hours: Tue 12:303:15PM; Wed 2:305:15PM; Thurs 2:304:15PM

GU Dalin
 Office: AB1 407B
 Tel: 3943 3720
 Email:
 Office Hours: Mon 8:30AM11:30PM; Tue 8:30AM11:30AM; Fri 3:305:30PM

LAM Ming Fai
 Office: LSB 222C
 Tel: 3943 8570
 Email:
 Office Hours: Mon 11:30AM2:15PM; Thurs 2:30PM4:15PM; Fri 1:304:15PM
Time and Venue
 Lecture: We 10:30AM  12:15PM (LSB C1); Th 10:30AM  11:15AM (LBS LT4)
 Tutorial: Th 11:30AM  12:15PM (LSB LT4)
Course Description
This is a continuation of MATH1030. Topics include: linear mapping and its matrix representation, eigenvalues and eigenvectors, inner product spaces, GramSchmidt process, Jordan canonical forms.
Textbooks
 "Linear Algebra (4th ed)" by S. Friedberg, A. Insel and L. Spence, Prentice Hall
Lecture Notes
 Lecture 1: Revision (1)
 Lecture 2: Revision (2)
 Lecture 3: Revision (3)
 Lecture 4: Eigenvalues and eigenvector: Definition
 Lecture 5: Eigenvalues and eigenvectors: Computation
 Lecture 6: Properties of eigenvectors
 Lecture 7: Eigenspaces
 Lecture 8: Necessary and sufficient conditions for diagonalizability
 Lecture 9: More about diagonalization
 Lecture 10: Direct sum and invariant subspaces
 Lecture 11: More about invariant subspaces
 Lecture 12: Inner Product Space (Definition)
 Lecture 13: More about inner product space
 Lecture 14: Orthogonal basis
 Lecture 15: GramSchmidt process and orthogonal complement
 Lecture 16: More about orthogonal complement and adjoint of linear operators
 Lecture 17: Adjoint of linear operators and normal operators
 Lecture 18: More about normal operators
 Lecture 19(1): Selfadjoint operarators
 Lecture 19(2): Unitary and orthogonal operators
 Lecture 20: More about unitary matrix and orthogonal linear operators
 Lecture 21: Unitarily/Orthogonally equivalent
 Lecture 22: Orthogonal projection
 Lecture 23: Jordan Canonical Form (Part 1)
 Lecture 24: Jordan Canonical Form (Part 2)
 Lecture 25: Jordan Canonical Form (Part 3)
 Lecture 26: Jordan Canonical Form (Part 4)
Tutorial Notes
 Tutorial Note 1
 Tutorial Note 2
 Tutorial Note 3
 Tutorial Note 4
 Tutorial Note 5
 Tutorial Note 6
 Tutorial Note 7
 Tutorial Note 8
 Tutorial Note 9
 Tutorial Note 10
 Tutorial Note 11
Assignments
 Practice Problem Set 1 (no need to turn in, solution will be posted next week)
 Scanned Practice Problem Set 1 (Password protected)
 Practice Problem Set 2
 Scanned Practice Problem Set 2
 Practice Problem Set 3
 Scanned Practice Problem Set 3
 Practice Problem Set 4
 Scanned Practice Problem Set 4
 Practice Problem Set 5
 Scanned Practice Problem Set 5
 Practice Problem Set 6
 Scanned Practice Problem Set 6
 Practice Problem Set 7
 Scanned Practice Problem Set 7
 Practice Problem Set 8
 Scanned Practice Problem Set 8
 Practice Problem Set 9
 Scanned Practice Problem Set 9
 Practice Problem Set 10
 Scanned Practice Problem Set 10
 Practice Problem Set 11
 Scanned Practice Problem Set 11
Solutions
 Solution of Practice Problem Set 1 (Written by TA, for reference only)
 Solution of Practice Problem Set 2 (Written by TA, for reference only)
 Solution of Practice Problem Set 3 (Written by TA, for reference only)
 Solution of Practice Problem Set 4 (Written by TA, for reference only)
 Solution of Practice Problem Set 5 (Written by TA, for reference only)
 Solution of Practice Problem Set 6 (Written by TA, for reference only)
 Solution of Practice Problem Set 7 (Written by TA, for reference only)
 Solution of Practice Problem Set 8 (Written by TA, for reference only)
 Solution of Midterm 1 (Written by TA, for reference only)
 Solution of Practice Problem Set 9 (Written by TA, for reference only)
 Solution of Practice Problem Set 10 (Written by TA, for reference only)
 Solution of Midterm 2 (Written by TA, for reference only)
 Solution of Practice Problem Set 11 (Written by TA, for reference only)
Assessment Scheme
Tutorial classwork  5%  
Midterm 1 (7:30pm 9pm, October 18 at LSB LT1)  22.5%  
Midterm 2 (7:30pm  9pm, November 15 at LSB LT1)  22.5%  
Final  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.
Last updated: December 02, 2016 10:00:47