Here are some selected projects that I have done in college whereas some of them are through high school.
From Fall 2023, I have become the PILOT Leader for MATH302 Differential Equations and Applications (Introductory course ODEs). Throughout the semester, I have made review sheets and problem sheets that delves into the basic concepts of the subjects as well as innovating students with some delicate proofs, aiming to provide students with deeper understandings.
In the Summer 2024 term, I am organizing office hours and preparing for review sessions in an online adapted version of the MATH302 Differential Equations and Applications course. I have published the webpage at https://jhu-ode-pilot.github.io/SU24/.
From the Fall 2024 term, I will be the head leader for the PILOT learning project. In particular, I will be preparing the problem sets and the review sessions.
Innovative Extra Problems
Review Problem Set
Theorems Booklet
From High school, I am a competitor of Science Olympiad, whereas now in college, I have become an organizer. In the past year I have made problems and organized the JHSOI for Sound of Music (B) and State competition for Bridges (C). In 2024, I am in charge of State competition for Optics (B&C). Below are some selected questions and archives.
Optics Exam Questions for Regional Science Olympiad
Sound of Music Exam for Invitational Science Olympiad
Community Event designed Infographics
Recording for event It's About Time in CT 2022 State competition
Remembering those "old days" learning high school mathematics, I always remember myself lost for what mathematics looks like in college. In 2024, with a chance revisiting my high school during the Intercessions weeks at Hopkins, I have prepared some small lectures in some topics that high school students could comprehend. Eventually, I have developed some notes and slides about Cryptography and Rigor in Mathematics, as they appear in the below attachments.
Lecture Notes describing the backgrounds and algorithm
Lecture Slides for presentation during the day
Activity about a hands-on oppotunity for students
Lecture Notes describing some examples of rigors in mathematics
Slides accompanying the presentation itself.
My interests in mathematics started way before entering college. At the math club at my high school, I'd always want to see how I can represent things from different perspectives. Below are some documents I composed when I was the president of the club in my junior and senior year in high school.
2022 Earth Day Presentation
2022 Lunar New Year Challenge
Pieces of Lecture Notes about high school Algebra
Pieces of Lecture Notes about high school Geometry
Pieces of Lecture Notes about high school Number Theory
Being a candidate of the IB Diploma, I have attempted to explore physics and chemistry as well in my high school exposition. In exploring these subjects, I am fourtunate to learn more in experimental methods and ways of analyzing data. Below are some posters and presentations I made for the various projects.
Physics Poster on spring constants in composite systems
Physics Poster on analyzing friction on curved surfaces
Chemistry Presentation on structure of Artificial Sweeteners