(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.

Solution of Homework 2 added.

(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!

Email: mccheng at math dot ubc dot ca

Office Hours: Tue 3:30-5:30pm @MATX1102, Fri 10:30-11:30am @MATX1118

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.

You can download Midterm 2 and its solution here.

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:

- Section 2.1-2.9,5.1-5.7 (except for 2.6, 5.5) of the textbook
- HW 1-3
- Practice problems for midterm 1 (Answer)

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.

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.

Tentative Exam dates:

Midterm 1: Friday, Oct 3

Midterm 2: Friday, Nov 7

Final exam: TBA

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.

http://aleph0.clarku.edu/~djoyce/java/elements/toc.html

Math is fun:

http://www.mathsisfun.com/geometry/constructions.html

https://archive.org/stream/firstsixbooksofe00byrn#page/n33/mode/2up (First page of propositions.)

https://archive.org/details/firstsixbooksofe00byrn (It contains the link for downloading the book.)

Euclid's Elements of geometry by Richard Fitzpatrick

http://www.math.unipd.it/~candiler/didafiles/matdue/EuclidsElements.pdf

Perseus project's collection of Heath's comments from his English edition of Euclid

http://www.perseus.tufts.edu/hopper/text?doc=Perseus:text:1999.01.0086

Euclid: The Game: A game of geometric constructions using axioms, where you can gain new skills like constructing equilateral triangles as you progress. (Thank Marielle Ong for sharing.)

http://euclidthegame.com/

Regular polyhedron on wikipedia

http://en.wikipedia.org/wiki/Regular_polyhedron