Math 308 Euclidean Geometry

Announcements

(30 Nov) A note on Hyperbolic Geometry, Partial solution of practice problems for final and Cover page of Final Exam added.
(26 Nov) Lecture note of Wed of week 13 added. Solution of Homework 8 added.
(24 Nov) Lecture note of Mon of week 13 added. Final exam information updated. Some practice problems for final exam are posted.
(21 Nov) Lecture note of week 12 updated. Homework 8 updated(Q6 is removed). Due Monday, Nov 24 at noon.
(19 Nov) Lecture note of Wed of week 12 added.
(17 Nov) Lecture note of Mon of week 12 added.
(16 Nov) Lecture note of week 11 updated. Homework 8 added. Due Monday, Nov 24 at noon.
(12 Nov) Lecture note of Mon and Wed of week 11 added. Midterm 2 and its solution added.
(5 Nov) Lecture note of Mon of week 10 updated. Homework 7, Solution of Homework 6 and Cover page of Midterm 2 added.
(3 Nov) Answers of practice problems for midterm 2, Lecture note of Mon of week 10 added. Mistakes in Solution of Homework 5 fixed.
(31 Oct) Lecture note of week 9, Midterm 2 information updated. Some practice problems for midterm 2 are posted.
(29 Oct) Homework 6 added. Due Nov 5 at noon. Solution of Homework 5, Lecture note of Mon and Wed of week 9 added.
(24 Oct) Lecture note of week 8 added.
(22 Oct) Homework 5 added. Due Oct 29 at noon. Online references for Elements added under the section Useful Resources.
(18 Oct) Lecture note of week 7 added. Solution of Homework 4 added.
(11 Oct) Lecture note of week 6 added.
(8 Oct) Homework 4 added. Due Oct 15 at noon.
(7 Oct) Midterm 1 and its solution added.
(2 Oct) Lecture note of week 5, Solution of Homework 3, Solution of Practice Problems for Midterm 1 and Cover page of Midterm 1 added.
Solution of Homework 2 Q2 revised.
(28 Sep) As mentioned in class, Q6 and Q7 are removed from homework 3. You can find the updated homework 4 below.
Midterm 1 information updated. Some practice problems are posted.
(27 Sep) Lecture note of week 4 added.
(24 Sep) Homework 3 added. Due Oct 1 at noon. Lecture note of Monday added.
(19 Sep) Solution of Homework 1 added. Lecture note of week 3 added.
(17 Sep) Homework 2 added. Due Sept 24 at noon.
(14 Sep) Lecture note of week 2 added.
(9 Sep) Homework 1 added.  Due Sept 17 at noon. Friday office hours location changed to MATX1118.
(5 Sep) Lecture note of week 1 added.
(3 Sep) This is the first day of class!

Instructor

Man Chuen CHENG
Email: mccheng at math dot ubc dot ca
Office Hours:  Tue 3:30-5:30pm @MATX1102, Fri 10:30-11:30am @MATX1118

Course Information

Lecture: MWF 12-12:50pm @ Buchanan A102
Textbook: Roger Fenn, Geometry, Springer Undergraduate Mathematics Series. You can find the book at the University Bookstore.
Prerequisite: One of MATH 152, MATH 221, MATH 223 and one of MATH 220, MATH 226, CPSC 121.

Topics: In this course, we will study geometry from several different aspects. Topics covered include coordinate geometry, classical Euclidean geometry, solid geometry, polyhedra, linear and affine transformations. If time permits, we will also discuss projective, spherical geometry or other examples of non-Euclidean geometry. Here is the course outline.

Exams

Final exam will be held in LSK 201 at 3:30-6:00pm on Dec 2. No calculator, note or formula sheet is allowed. You must use compass and straightedge for construction problems. You can find the description of the materials covered and some practice problems with partial solution for the final exam. This is the cover page of final exam.

Midterm 2 will be at 1200-1250 pm on Nov 7. No calculator, note or formula sheet is allowed.
It will include materials covered in lectures up to Friday, Oct 31. Here is a description of Midterm 2.
This is the cover page of midterm 2.

Some preparation materials:
• Lecture note from week 5 to 9
• Online references (under the section Useful Resources below)
• HW 4-6
• Practice problems for midterm 2 (Answer)

Midterm 1 will be at 1200-1250 pm on Oct 3. No calculator, note or formula sheet is allowed.
It will include materials covered in lectures up to Friday, Sept 26.
This is the cover page of midterm 1.

Some preparation materials:

Homework

Homework will be posted on this page. There will be about 8 homework assignments, which are usually due on Wednesday at the beginning of the class. Homework contributes to 20% of the course grade. Your lowest grade among all the homework assignments will be dropped for final grade calculation. Late homework assignments receive a grade of 0.

HW1 Solution
HW2 Solution
HW3 Solution
HW4 Solution
HW5 Solution (Calculation mistakes in solution of Q3 is fixed on Nov 3)
HW6 Solution
HW7
HW8 Solution

While you are encouraged to discuss homework problems with other students, it is important for you to write down the solution on your own. Copying work of others is a violation of academic honesty and standards. Please refer to this link for more information on discipline for academic misconduct at UBC.

Lecture notes

Lecture notes will be uploaded at the end of each week.

week 1
week 2
week 3
week 4
week 5 (updated on 18 Oct: A mistake on page 99 is fixed. A new page 99.5 is added. Thank Ju Young Moon for pointing out the mistake.)
week 6
week 7
week 8
week 9
week 10
week 11
week 12
week 13

A note on hyperbolic geometry, which is an example of non-Euclidean geometry.

The final examination counts for 50% of the course grade. Each midterm counts for 15%, and the homework counts for 20%. All midterms and the final examination will be strictly closed book: no notes, formula sheets, or calculators will be allowed. Cheating will not be tolerated.  For information regarding UBC policy on student conduct and discipline, please click here.

Tentative Exam dates:
Midterm 1: Friday, Oct 3
Midterm 2: Friday, Nov 7
Final exam: TBA

Policies on Missed Midterm

Missing a midterm normally results in a mark of 0. Exceptions may be granted in two cases: prior consent of the instructor or a medical emergency. In the latter case, the instructor must be notified within 48 hours of the missed test, and presented with a doctor's note immediately upon the student's return to UBC.
There is no supplemental examination in this course. Students who miss midterm exam for a valid reason will have their final mark averaged proportionally over the other course material.

Useful Resources

An online reference for Euclid's Elements by David E. Joyce:
http://aleph0.clarku.edu/~djoyce/java/elements/toc.html

Math is fun: This page contains animations of many basic geometric constructions by compass and straightedge.
http://www.mathsisfun.com/geometry/constructions.html

Oliver Byrne's version of Elements with colored diagram
https://archive.org/stream/firstsixbooksofe00byrn#page/n33/mode/2up (First page of propositions.)