Coursework

Coursework and Lecture Notes

During classes, I would always like to take notes by myself (but always hardly succeed), but if they get finished, I would try to upload them here.

1.Understanding Non-Euclidean Geometry

Starting with special geometric structures of complex plane, students will learn symmetry and conformality on complex transformations; the intriguing correspondence between the complex plane and a sphere; and Mobiüs transformation. Then students would be introduced to a number of amazing properties of Non-Euclidean Geometry from a modern point of view, including hyper-parallelism, non-Euclidean distance, constant curvature, and hyperbolic trigonometry.


Recommendation

The world would be a great place if I could write about everything I knew about, but alas I have a finite amount of time. So in addition to the stuff I have on this website, here’s a list of other resources I like.

Please notify me of any broken links, suggestions, etc. by email.

(Above paragraph is copied from Evan Chen…)

Geometry:

The only best suggestion is the book and website from Evan Chen. That’s all

Combinatorics:

Good enough for me (or easy enough) to read is the Olympiad combinatorics book from AoPs, by Pascal96

Number Theory:

No resource are really good enough(That’s why I would really want to write one)

Algebra

Inequalities: That’s fine la, they are fading out in Olympiad problems… but apparently a standard exposition is Olympiad Inequalities 

Functional Equation: Wait Evan Chen?

Polynomials, Sum/Product: …

General Lecture Notes:

That’s easier… For too much beginner, I recommend Lecture Notes for Mathematical Olympiad Course Junior Section online can be download. To an already know calculus person, I recommend Kin Y Li Lecture Notes for the course Mathematical Problem Solving