Author: TC

Hi! I’m Tim. I graduated from the Department of Physics at National Taiwan University, and I’ve been teaching international students for over 10 years.   Over the past decade, I’ve worked with students from all over the world to help them prepare for AP, IB, A-Level, SAT, ACT, and various high school math and physics courses. My goal is to make complex ideas easier to understand, and to help students feel more confident, whether they're catching up or aiming for top scores.   I specialize in 1-on-1 teaching because I believe every student learns at a different pace and with distinct needs. Lessons with me are always tailored to your pace and your goals. If you're serious about improving and want structured, clear guidance, I’d love to work with you.

Eigenvalues and Eigenvectors Made Easy: Visualize, Solve, and Master Linear Systems in IB Math

Eigenvalues and Eigenvectors

Eigenvalues and eigenvectors reveal the secret structure behind every transformation — from how buildings vibrate to how data patterns emerge. In this guide, you’ll see how to find them, interpret phase portraits, and understand what they tell us about stability, growth, and oscillation — all explained in clear, intuitive steps for IB Math AIHL and college students alike.

Continue Reading →