I'm an exchange student from Taiwan and am doing a double major in finance and statistics back in my home university. I hope to study statistics in graduate school in the future. I've done some research in community detection on networks and am now trying to get into the field of causal inference.

Outside of academics, I enjoy eating, especially spicy food, though ironically, my stomach has a terrible heat tolerance. I cook quite a lot since I arrive in the US. I also enjoy playing table tennis, badminton and volleyball.

My final essay, which is some examples in counter examples in analysis. Enjoy:) math105_essay.pdf

This file contains a summary of the Definitions, Theorems, Lemmas, Corollaries we have gone through in class. This was inspired by Jianzhi. I remembered when I ask him how he does his homework, he says he lists all the related tools he'd learned, and I think it really helped a lot.

Notes math_105_notes.pdf

These are my lecture notes taken during class.

Lec 1 lecture01.pdf

Lec 2 lecture02.pdf

Lec 3 lecture03.pdf

Lec 4 lecture04.pdf

Lec 5 lecture05.pdf

Lec 6 lecture06.pdf

Lec 7 lecture07.pdf

Lec 8 lecture08.pdf

Lec 9 lecture09.pdf

Lec 10 lecture10.pdf

Lec 11 lecture11.pdf

Lec 12 lecture12.pdf

Lec 13,14 lecture1314.pdf

My thoughts on Lebesgue versus Riemann are included in Homework 4

Will update lecture notes and homework solutions in the future.

HW1 math_105_hw1.pdf

HW2 math_105_hw2.pdf

HW3 math_105_hw3.pdf

HW4 math_105_hw4.pdf

HW5 math_105_hw5.pdf

HW6 math_105_hw6.pdf + Summary of key steps in Lebesgue Theory brief_summary_of_key_steps.pdf

HW7 math_105_hw7.pdf

HW8 math_105_hw8.pdf (includes summary/thoughts of the little-wood's principle)

HW9 math_105_hw9.pdf

HW10 math_105_hw10.pdf

HW11 math_105_hw11.pdf

HW12 math_105_hw12.pdf