# Scie1110 Great Ideas in Science

News

• (15/10/2018) The exam will cover the lectures I gave. These are (1) Number (2) Proof. The exam will not test Axiom.
• (14/9/2018) Exercise and Answer. The problems in the actual exam will be similar to the problems in the exercise (later part of exercise is actually previous exams).
• (14/9/2018) The math module exam will be three problems and open book. You can bring all the materials from the course (lecture note, exercise, answer) and nothing else.
• (12/9/2018) Lecture note updated. The main change is to clean up the discussion about conversion between bases and the divisibility rules. I hope the new explanation is much clearer.
• (3/9/2018) Starting on Friday, Sept 7, the venue will be changed permanently to room 4582.
• (4/7/2018) Course website. The schedule is updated. The subsequent links to materials will be updated.
• (4/7/2018) What is it like to understand advanced mathematics?.

Class for Math Module

Venue: 4582.

Schedule: Mondays 15:00-16:20 (Sept 3, 10, 17) and Fridays 10:30-11:50 (Sept 7, 14, 21).

Presentation:

Poster: December.

Manned poster presentation: December.

Group presentation: December.

Exam: TBA.

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

Material

Lecture note for the course.

Numbers

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.

Elements by Euclid