# Archive

[2024] [2023] [2022] [2021] [2020]Sorted by date. Here’s the archive page sorted by categories or by tags.

## 2024

- From Immigrant to Inventor - Mihajlo Pupin
- A circle and a hyperbola living in one plot
- Taylor series raised to a power
- A Brighter Summer Day
- Alternate notation for topology
- Third Easter in Oxford
- Perfect Days
- The Gudermannian
- A physical interepertation of trigonometric substitution
- Eighth Term at Oxford
- Using matrices to understand polynomials
- Visualising bifurications
- Visualising linear dynamical systems directly
- Visualising invertibility and diagonalisability of matrices
- Partial derivatives of the radius
- Understanding the hyperbolic plane with refraction
- Third Christmas in Oxford

## 2023

- Understanding potential wells
- Stock Game
- The Creative Act - Rick Rubin
- Understanding Green's theorem
- Font sizes from 4px to 99.9px
- Running a mathematics society in secondary school
- Another visualization of the second fundamental theorem of calculus
- Seventh Term at Oxford
- Calculus of inverse functions: Inverse function theorem and the Legendre transformation (Part I)
- Complex function plotter
- Graph sketching techniques
- Generalising function plots to topological spaces
- Pedagogically weaker notions of continuity
- Constructing homotopies using gravity
- Geometry of curves and projectile motion
- Second Summer in Oxford
- Euclidean algorithm and GL(2, Z)
- Understanding the dual space
- Networking to network - Phil Agre
- Understanding linear fractional transformations
- Applications of Lie Groups to Differential Equations
- Calculator Programming
- Compilation of miscellaneous tools
- Second Year at Oxford
- Introduction to symmetries and its applications
- Understanding the Jordan Normal Form
- Playing with the real projective plane
- Visualising composition series
- Visualising the group isomorphism theorems
- Second Easter in Oxford
- I Want to be a Mathematician - Paul Halmos
- Opportunities learning maths beyond the syllabus in HK
- Three ways of thinking about matrix multiplication
- Levi-Civita Symbol (Part II)
- Fifth Term at Oxford
- Structures closed under unions
- Levi-Civita Symbol (Part I)
- Structures closed under intersections
- Extending sequences into smooth functions using trignometric functions
- The Art of Doing Science and Engineering - Richard Hamming
- Interiors, closures and boundaries of topological spaces
- On Stun-locks
- Effort vs Quality
- Second Christmas in Oxford

## 2022

- DIY Pin Board of Tools and More
- LEON Discounts
- Technical aspects of tobylam.xyz
- Compilation of miscellaneous ideas
- HKDSE Physics and M2 (Part III)
- HKDSE Physics and M2 (Part II)
- HKDSE Physics and M2 (Part I)
- Euler's formula and compound angle formulae
- Fourth Term at Oxford
- Tackling Oxford Mathematics Interviews (Undergraduate)
- First Summer in Oxford
- Showing preservation of properties under multiplication via difference of squares
- Making a mathematics personal statement personal
- Audience and Tone of tobylam.xyz
- Inspirations for tobylam.xyz
- First Year at Oxford
- Second Term at Oxford
- Another example of pointwise but not uniform convergence

## 2021

- First Term at Oxford
- Tackling the Oxford MAT
- Choosing a college at Oxford (Undergraduate)
- Applying to Oxford Mathematics (Undergraduate)