MATH2040B - Linear Algebra II - 2020/21

Course Name: 
Linear Algebra II
Teacher: 
Prof. Ronald Lok Ming LUI
Course Year: 
2020/21
Term: 
1

Announcement

  • There will be no tutorial classes in the first week.
  • Homework 1 has been posted. The question can be found in the textbook: Friedberg, Insel and Spence, Linear algebra, 4th edition, Pearson. Please submit your homework on the Blackboard. It is due on Sept 18 (next Friday) before 11:59pm.
  • Instruction on the submission of homework on Blackboard. [Download file]
  • Homework 2 has been posted.
  • Arrangement for the midterm examinations
     
    The midterm examinations will be arranged as below. 
    1. Midterm 1 will be held on October 9, 2020 (Friday) and Midterm 2 will be held on November 6, 2020 (Friday). Please mark it down on your calendar. Midterm 1 will be held about three weeks from now.
    2. Midterm examinations will be conducted online using "Blackboard" as a "take-home exam" with a 24 hours limit. For midterm 1, the examination question will be available on October 9, 2020 at 10:00am and the deadline for submission (via "Blackboard") is October 10, 2020 at 10:00am. It is expected that the paper can be finished within 3 hours. As such, the 24-hour limit should allow enough flexibility. 
    3. Midterm 1 will cover materials taught from Week 1 to Week 4.
     

     

  • Homework 3 has been posted.
  • Please be informed that there a minor typo in Q2 in Part II: "Prove that {w1, w2, ..., wm} is a basis for V if and only if ..." The typo has been indicated in red, namely, n should be m in the updated file. Please download the updated file
  • Homework 5 has been posted.It is due next Monday 19/10 before 1159PM.
  • Adjustment for the Lecture and Tutorial session on Oct 20 and Oct 22
     
    The following adjustment for our lecture and tutorial sessions will be made this week:
     
    Tuesday (20/10): I will give a lecture from 4:30pm to 6pm. Therefore, there will be no tutorial session on Tuesday. Please join the lecture at: https://cuhk.zoom.us/j/93644920819
     
    Thursday (22/10): There will be a tutorial session from 10:30am to 11:15am. Please join the tutorial session at: https://cuhk.zoom.us/j/2341862084
    And Prof. Renjun Duan will substitute me for a lecture from 11:30am to 12:15pm. Please join the lecture at: https://cuhk.zoom.us/j/93644920819
  • Homework 6 has been posted.
  • Homework 7 has been posted.
  • Please be reminded that we will have midterm 2 next Friday (November 6). The coverage of the midterm will be from Lecture 6 p.11 to Lecture 12. That is, Section 2.1 to Section 5.1 in the textbook.
  • Midterm 2 will be conducted online using "Blackboard" as a "take-home exam" with a 24 hours limit. The examination question will be available on November 6, 2020 at 10:00am and the deadline for submission (via "Blackboard") is November 7, 2020 at 10:00am. It is expected that the paper can be finished within 3 hours. As such, the 24-hour limit should allow enough flexibility.
  • Homework 8 has been posted.
  • Homework 9 has been posted.
  • Statistics of Midterm 1 scores: Mean: 90.625; SD: 9.9; Median: 93
  • No lecture on Nov 19 due to the graduation ceremony.
  • The final examination will start at 10:00am on December 18th, 2020. The exam will take 24 hours and hence will end at 10:00am on the next day December 19th 2020. Please mark the time and date in your calendar. It will be an open-book test and the answers should be submitted in Blackboard. Further details will be announced in due course.
  • Homework 10 has been posted.
  • Homework 11 has been posted. There is no need for submission. The solution will be posted few days later.
  • Statistics of Midterm 2: Mean = 90.0625; Median= 90.5; SD = 6.59041
  • Reminder: Final Exam on December 18, 2020
     
    Please be reminded that there will be an online final exam on December 18, 2020 starting at 10am. Please find below some hints about the final exam:
    • The final exam will cover all taught materials of the textbook or equivalently Lecture 1 to Lecture 24 of the course lectures (with emphasis on Lecture 13 to Lecture 24).
    • The exam will start at 10am, December 18th (Friday) and the question paper will be uploaded to the course website and Blackboard on time.
    • Print out the front page as well as enough copies of the provided template of answer sheets. You may do this earlier than the starting time of the exam. You may use other kinds of paper sheets with format similar to the provided one.
    • Start each answer on a fresh page and write the number of the question attempted at the top of the page.
    • The exam will take 24 hours, so it will end at 10am, December 19th (Saturday). Please submit your work (the signed front page and all complete answer sheets) in one electric file (PDF is better) online through Blackboard on or before the due time. You are kindly reminded to prepare your submission earlier than the due time and double check if the submission is successfully made. Late submission will not be accepted.

General Information

Lecturer

  • Ronald Lok Ming LUI
    • Office: LSB 207
    • Tel: 39437975
    • Email:

Teaching Assistant

  • Chenran Lin
    • Email:

Time and Venue

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, 4th edition, Pearson.

Lecture Notes


Tutorial Notes


Assignments

  • Homework 1: Sec 1.2: 8, 11, 13, 17, 21; Sec 1.3: 10, 19, 20, 23, 24 (Due on Sept 18 before 6pm. Please upload your solution to blackboard)
  • Homework 2: Sec 1.4: 5 (e), (g), 6, 12, 13, 15; Sec 1.5 2(d),(h),(j), 9, 14, 16, 19 (Due on Sept 25 before 1159PM)
  • Homework 3: Sec 1.6: 4, 11, 12, 14, 15, 20, 23, 24, 26, 31 (Due on Oct 2 before 11:59PM)
  • Homework 4: Sec 2.1: 2, 4, 12, 13, 14, 15, 16, 17, 19, 20 (Due on Oct 9 before 1159PM)
  • Homework 5: Sec 2.1: 28, 29; Sec 2.2: 2 c), f), 5, 8, 11, 13; Sec 2.3: 3, 9, 11 (Due on Oct 19 before 1159PM)
  • Homework 6: Sec 2.4: 2(d),(e), 7, 15,16, 17; Sec 2.5: 2(b),(d), 3(a),(c),(d), 4, 6(b),(c), 7 (Due on Oct 26 before 1159PM)
  • Homework 7: Sec 5.1: 2(c), (f), 3(c), (d), 4(g), (h), 6, 8, 15, 20, 22 (Due on Nov 2 before 1159PM)
  • Homework 8: Sec 5.2: 2(f), 3(b), 7, 10, 17; Sec 5.4: 2(e), 5, 11, 13, 19 (Due on Nov 16 before 1159PM)
  • Homework 9: Sec 6.1: 9,10, 11, 12, 15; Sec 6.2: 2(g), (i), 6, 8, 14, 17 (Due on Nov 23 before 1159PM)
  • Homework 10: Sec 6.3: 3(b), (c), 6, 8, 9, 13, 14; Sec 6.4: 2(c), (d), 6, 7, 9, 11 (Due on Dec 4 before 1159PM)
  • Homework 11: Sec 6.5: 2(c), (d), (e), 6, 7, 12, 13; Sec 6.6: 2, 4, 6, 7, 10 (No need for submission. The answer will be posted few days later)

Quizzes and Exams


Solutions


Assessment Scheme

Homework 10%
Midterm 1 (October 9, 2020) 20%
Midterm 2 (November 6, 2020) 20%
Final examination (December 18, 2020) 50%

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: December 18, 2020 09:42:01