MATH2040B - Linear Algebra II - 2022/23

Announcement

• Welcome to the course! No tutorial in the first week. Here is the course outline: [Download file]
• Please submit your Homework via Blackboard .
• Midterm 1 will take place during lecture time (1:30-2:15pm) on February 22. This is a close-book exam covering the first 2 chapters of the textbook; you should also consult Week 1-5 of the Lecture notes.
• Midterm 2 will take place during lecture time (1:30-2:15pm) on March 29. This is a close-book exam covering the first 5 chapters of the textbook (with an emphasis on Section 5.1 and 5.2). Calculator is not permitted/needed.

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General Information

Lecturer

• Prof. Zhongtao WU
  • Office: LSB 216
  • Tel: 3943-8578
  • Email:

Teaching Assistant

• Mr. Kam Fai CHAN
  • Office: LSB 232
  • Tel: 3943-5294
  • Email:
• Mr. Haiyu CHEN
  • Office: AB1 614
  • Tel: 3943-4109
  • Email:

Time and Venue

• Lecture: Mo 11:30AM - 1:15PM; We 1:30PM - 2:15PM, Y.C. Liang Hall 103
• Tutorial: Mo 1:30PM - 2:15PM; We 12:30PM - 1:15PM, Y.C. Liang Hall 103

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

• Week 1
• Week 2
• Week 3
• Week 4
• Week 5
• Week 6
• Week 7
• Week 8
• Week 9,10
• Week 11
• Week 12

Tutorial Notes

• 0.1 Last year tutorial notes
• 0.2 tutorial 0 general information
• 1. tutorial 1 vector space, span and linear independence
• 2. tutorial 2 basis and dimension
• 3. tutorial 3 linear maps, nullspace, range, rank-nullity
• 4. tutorial 4 matrix representation and change of basis
• 5. tutorial 5 eigenvalue, eigenspace, diagonalizability, invariant subspace, Cayley Hamilton (updated)
• 6. tutorial 6 Inner product spaces and their operators (updated)

Assignments

• HW1, due Jan 23
• HW2, due Feb 6
• HW3, due Feb 20
• HW4, due Mar 13
• HW5, due Mar 27
• HW6, due Apr 10
• HW7, due Apr 24

Quizzes and Exams

• Midterm 1 solution
• Midterm 1 question
• Midterm 2 questions and solutions

Solutions

• HW1 Sol
• HW2 Sol
• HW3 Sol
• HW4 Sol
• HW5 Sol
• HW6 Sol
• HW7 Sol

Assessment Scheme

Homework		10%
Midterm 1 (February 22)		20%
Midterm 2 (March 29)		20%
Final Exam		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.

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Assessment Policy

Last updated: April 19, 2023 14:29:49