====== Wei-Hsiang (Sean) Sun ====== 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. ======Essay====== My final essay, which is some examples in counter examples in analysis. Enjoy:) {{ :math105-s22:s:seansun:math105_essay.pdf|}} ====== Notes ====== 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 {{ :math105-s22:s:seansun:math_105_notes.pdf |}} These are my lecture notes taken during class. Lec 1 {{ :math105-s22:s:seansun:lecture01.pdf |}} Lec 2 {{ :math105-s22:s:seansun:lecture02.pdf |}} Lec 3 {{ :math105-s22:s:seansun:lecture03.pdf |}} Lec 4 {{ :math105-s22:s:seansun:lecture04.pdf |}} Lec 5 {{ :math105-s22:s:seansun:lecture05.pdf |}} Lec 6 {{ :math105-s22:s:seansun:lecture06.pdf |}} Lec 7 {{ :math105-s22:s:seansun:lecture07.pdf |}} Lec 8 {{ :math105-s22:s:seansun:lecture08.pdf |}} Lec 9 {{ :math105-s22:s:seansun:lecture09.pdf |}} Lec 10 {{ :math105-s22:s:seansun:lecture10.pdf |}} Lec 11 {{ :math105-s22:s:seansun:lecture11.pdf |}} Lec 12 {{ :math105-s22:s:seansun:lecture12.pdf |}} Lec 13,14 {{ :math105-s22:s:seansun:lecture1314.pdf |}} My thoughts on Lebesgue versus Riemann are included in Homework 4 ====== Homework Solutions ====== Will update lecture notes and homework solutions in the future. HW1 {{ :math105-s22:s:seansun:math_105_hw1.pdf |}} HW2 {{ :math105-s22:s:seansun:math_105_hw2.pdf |}} HW3 {{ :math105-s22:s:seansun:math_105_hw3.pdf |}} HW4 {{ :math105-s22:s:seansun:math_105_hw4.pdf |}} HW5 {{ :math105-s22:s:seansun:math_105_hw5.pdf |}} HW6 {{ :math105-s22:s:seansun:math_105_hw6.pdf |}} + Summary of key steps in Lebesgue Theory {{ :math105-s22:s:seansun:brief_summary_of_key_steps.pdf |}} HW7 {{ :math105-s22:s:seansun:math_105_hw7.pdf |}} HW8 {{ :math105-s22:s:seansun:math_105_hw8.pdf |}} (includes summary/thoughts of the little-wood's principle) HW9 {{ :math105-s22:s:seansun:math_105_hw9.pdf |}} HW10 {{ :math105-s22:s:seansun:math_105_hw10.pdf |}} HW11 {{ :math105-s22:s:seansun:math_105_hw11.pdf |}} HW12 {{ :math105-s22:s:seansun:math_105_hw12.pdf |}}