MMAT5540 - Advanced Geometry - 2016/17

Announcement

• A typo was found in lecture note chapter 4(a), for Exercise 4.2.1, the answer should be 4*pi*R/(1-R^2) and the length or the arc on the diagram should be 2*pi/3.
• The due date of assignment is postponed to 27 Apr.
• Make up class: 6:30pm-9:15pm, 27 Apr, WMY 301,
• Final exam: 7pm-9pm, 4 May, WMY 403
• The final examination will cover materials from chapter 1 to 3.5 (Hilbert plane) and chapter 4

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General Information

Lecturer

• Dr. CHAN Kai Leung
  • Office: LSB 222A
  • Tel: 3943 7969
  • Email:

Teaching Assistant

• Mr. Ka Ho WONG
  • Office: LSB 228
  • Tel: 3943 7955
  • Email:

Time and Venue

• Lecture: 18:30-21:15 Thursday, LT4 Yasumoto International Academic Park

Course Description

The course is intended to discuss important geometric structures, including Euclidean Geometry, Analytical Geometry, Non-Euclidean Geometry. Further topics may be selected from Transformational Geometry, Projective Geometry, Geometric Symmetries, or Finite Geometry. (Not for undergraduate students, students in the MSc. Programme in Mathematics, and students who have taken MAT5011, 5012, 5031, 5032, 5051, 570S, 6xxx and 7xxx.)

Textbooks

• Robin Hartshorne, Geometry: Euclid and Beyond
• Euclid's Elements of Geometry, translated by Richard Fitzpatrick (Book 1)

References

• K.T. Leung and L.C. Chen, Elementary Set theory (Part 1)

Lecture Notes

• Chapter 0: Overview
• Chapter 1: Euclid's Elements
• Chapter 2: Quick Review
• Chapter 3: Hilbert's Axioms (part 1)
• Chapter 3: Hilbert's Axioms (part 2)
• Chapter 4: Poincare Disk Model (part 1)
• Chapter 4: Poincare Disk Model (part 2)
• Supplementary notes on Definite integration

Assignments

• Assignment 1 (due date: 16 Feb)
• Assignment 2 (due date: 23 Feb)
• Supplementary Exercise 1 (No need to submit)
• Assignment 3 (due date: 16 Mar)
• Supplementary Exercise 2 (No need to submit)
• Supplementary Exercise 3 (No need to submit)
• Supplementary Exercise 4 (No need to submit)
• Assignment 4 (due date: 20 Apr)
• Supplementary Exercise 5 (No need to submit)

Quizzes and Exams

• Quiz 1
• Quiz 2

Solutions

• Solution to Assignment 1
• Solution to Assignment 2
• Solution to Quiz 1
• Solution to Assignment 3
• Solution to Quiz 2
• Solution to Assignment 4

Assessment Scheme

Assignments		10%
Quiz 1 (2 Mar)		20%
Quiz 2 (6 Apr)		20%
Final Examination (7pm - 9pm, 4 May)		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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Last updated: April 24, 2017 13:59:53