Handouts

Personal handouts written, and some stuff. If you find a typo, please contact me.


Competition Math

  • Intermediate Counting (New!)

    Intermediate counting on AMC to low-AIME level. Includes complementary counting, PIE, circular permutations, and stars and bars.

  • Sequences

    Sequences on AMC to AIME level. Includes basic sequences, telescoping and recursions.

  • Coordinate Geometry

    Coordinate bashing on AMC to AIME level.

  • Systems of Equations

    Techniques to solve complicated (mostly nonlinear) systems of equations.

  • Complex Numbers

    Complex numbers on AIME level. Includes roots of unity and relationships to trigonometry.

  • Techniques for the AIME

    Useful techniques of bashing and guessing for the AIME.

Solution Writeups

  • AMC 12A 2023

    My solutions of AMC 12A 2023 after taking the exam, with the help of Ian Baek.

  • AMC 12B 2023

    My solutions of AMC 12B 2023 after taking the exam, with the help of Ian Baek.


Other Stuffs

  • Dirichlet's Theorem on Arithmetic Progressions

    Theorem that there are infinitely many primes in any arithmetic progressions if the first term and the difference is relatively prime. A paper written in Foundations of Mathematics (TAMU MATH 300) taken in fall 2024. Uses basic analytic number theory.

  • Numerical Solutions to Laplace's Equation

    Approximating the solution to the Laplace’s equation. Presentation in Applied Mathematics Project taken in Korean Minjok Leadership Academy, fall 2023.

  • Laplace Transforms

    Laplace transforms for ODEs, covers all topics covered in elementary engineering mathematics.