News

- (30/10/2017) The exam is open book. This means you can bring all the material from the math module, and calculator (which is unnecessary). However, you cannot use mobile phone or computer.
- (25/10/2017) Oral presentation on Friday, Dec 1, 10:00, in room 2130B. I will also grade the posters afterwards.
- (25/10/2017) Exercise. Answer. Not collected and graded.
- (25/10/2017) Lecture note updated.
- (11/10/2017) Final exam on Monday, Dec 11, 16:30-19:30, in LG5 multi-purpose room.
- (8/8/2017) Course website. The schedule is updated. The subsequence links to materials will be updated.
- (8/8/2017) What is it like to understand advanced mathematics?.

Class for Math Module

Venue: 2407.

Schedule: Mondays 15:00-16:20 (Nov 13, 20, 27) and Fridays 10:30-11:50 (Nov 10, 17, 24).

Presentation:

Poster: December 1-4.

Manned poster presentation: December 4, 10:00-12:00.

Group presentation: December 1, 10:00-13:00.

Exam: TBA.

Instructor: Min Yan, room 3487, mamyan@ust.hk, 23587442.

Material

Lecture note for the course.

Numbers

The Story of 1 by BBC. Is “one, two, many” a myth? from Number Warrior.

Numerical systems in different cultures, Numerical system in Quora (unlimited knowledge, one of my favorite sites).

Base of number system: Wiki, A tutorial on number system conversion, Another tutorial, Binary and hexadecimal number systems from Khan Academy.

Modular arithmetic: Wiki, A tutorial from Art of Problem Solving, Tutorial and exercise from Khan Academy.

Divisibility test: Quora, Wiki, Proof of divisibility test from Art of Problem Solving.

Color: There are several aspects of this fascinating topic. First is physical (electromagnetic radiation). Second is vision (human eye, and animal eye). Third is computer code (besides RGB, there is also CYMK). One can find lots of materials on the internet.

Power Sum: from MAA, a blog by Tim Gowers

Proof without Words: from MAA

Roman: Number system, Arithmetic, A blog.

Egypt: Number system, Lots of links to Egyptian fractions, A very detailed discussion on Egyptian fractions.

Elements by Euclid

Links

- Convergence, a journal published by MAA (Mathematical Association of America)
- Babylonian Math
- Egyptian Math