MMAT5120 - Topics in Geometry - 2021/22
Announcement
- Course Outline (updated on Mar 4) [Download file]
- Tentative teaching schedule (updated on Mar 4) [Download file]
- Please submit your homework solutions via Blackboard (in a single PDF file). In case you haven't been added to the system yet, please email the lecturer.
- Lectures -- ZOOM Meeting ID: 956 1449 4318, Passcode: 039060.
- Quiz 1 (which covers materials up to Week 3) will be held on Feb 10 during 8pm - 10pm. The question paper will be posted on the course webpage and blackboard at 8pm on Feb 10. You need to submit your solutions in one single pdf file via Blackboard at or before 10pm on Feb 10.
- Assessment scheme updated as: Homework 40%, Quiz 10%, Final 50%; see the updated course outline.
- Two tutorial sessions added on Mar 10 and Apr 7; see the updated teaching schedule.
- The Final Examination (which covers materials from Week 4 - 12) will be held online on Apr 21, 2022 during 6:30pm - 9:30pm. The question paper will be posted on Blackboard at 6:30pm on Apr 21, 2022. You need to submit your solutions in one single pdf file via Blackboard at or before 9:30pm on Apr 21, 2022.
General Information
Lecturer
-
CHAN Kwok Wai
- Office: LSB 212
- Tel: 3943 7976
- Email:
Teaching Assistant
-
LAM Chin Hang Eddie
- Office: LSB 222B
- Tel: 3943 7963
- Email:
Time and Venue
- Lecture: Thu 6:30pm - 9:15pm, YIA LT9
Course Description
This course is intended to provide a brief, but solid, modern introduction to various basic geometries using analytic methods. In this term, we will focus on various plane geometries including some "non-Euclidean" geometries, with emphasis on the hyperbolic plane geometry. A brief introduction to solid Euclidean and hyperbolic geometries using quaternions will also be included if time allows.
Textbooks
- Lecture notes available at the course webpage.
References
- Modern Geometries. M. Henle, Prentice Hall, Inc., Upper Saddle River, NJ, 1997.
- A gateway to modern geometry, The Poincaré half-plane. S. Stahl, Second edition. Jones and Bartlett Publishers, Boston, MA, 2008.
Lecture Notes
- Week 1 (finalized)
- Week 2 (finalized)
- Week 3 (finalized)
- Week 4 (finalized)
- Week 5 (finalized)
- Week 6 (finalized)
- Week 7 (finalized)
- Week 8 (finalized)
- Week 9 (finalized)
- Week 10 (finalized)
- Week 11 (finalized)
- Week 12 (finalized)
- Week 13 - optional topics I
- Week 14 - optional topics II
Tutorial Notes
- Lecture 1 practice problems
- Lecture 1 practice problems solution (updated)
- Lecture 2 practice problems
- Lecture 2 practice problems solution
- Lecture 3 practice problems (updated)
- Lecture 3 practice problems solution
- Lecture 4 practice problems
- Lecture 4 practice problems solution (corrected)
- Lecture 5 practice problems
- Lecture 5 practice problems solution
- Lecture 6 practice problems
- Lecture 6 practice problems solution
- Lecture 7 practice problems
- Lecture 7 practice problems solution
- Lecture 8 practice problems (corrected)
- Lecture 8 practice problems solution
- Lectures 9 & 10 practice problems
- Lectures 9 & 10 practice problems solution (corrected)
- Lecture 11 practice problems
- Lecture 11 practice problems solution
- Lecture 12 practice problems
- Lecture 12 practice problems solution
Assignments
- Homework 1 (due on Mar 3)
- Homework 2 (due on Mar 24)
- Homework 3 (due on Apr 7)
- Homework 4 (due on Apr 21)
Quizzes and Exams
Solutions
Assessment Scheme
Homework | 40% | |
Quiz | 10% | |
Final | 50% |
Useful Links
- Recording for lecture on Jan 27 (Week 3)
- Recording for lecture on Feb 10 (Week 4)
- Recording for lecture on Feb 17 (Week 5)
- Recording for lecture on Feb 24 (Week 6)
- Recording for lecture on Mar 3 (Week 7)
- Recording for lecture + tutorial on Mar 10 (Week 8)
- Recording for lecture on Mar 17 (Week 9)
- Recording for lecture on Mar 24 (Week 10)
- Recording for lecture on Mar 31 (Week 11)
- Recording for lecture + tutorial on Apr 7 (Week 12)
- Recording for lecture on Apr 14 (Week 13)
- Recording for lecture on Apr 28 (Week 14)
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: April 28, 2022 20:40:27