It is a belief of mine that Mathematics is to be shared among all. In this page, you will find my notes on some selective (applied) mathematics topics and some selective problems. These notes are not peer reviewed and are meant for education purpose only. If you spot any error (I am pretty sure there are), please feel free to let me know. Your contribution is greatly appreciated.
I started this project a few years back. One day, I was talking to an office mate about our PhD preliminary exams also known as QR exams. They complained about the lack of resources for QR reviews. Let's face it: reading a bunch of math books in a short period of time is stressful and definitely not the most efficient way of learning. Math notes, on the other hand, are much easier to follow. Motivated by this conversation, I began latex-ing some of my class notes. It is my hope that these notes can benefit not just myself, but all (applied) mathematicians.
Complex Variables (Notes) (Selected Problems)
Finite Difference Method (Notes) (Selected Problems)
Nonholonomic Mechanics and Control (Notes)
Partial Differential Equations I (Notes) (Selected Problems)
Point Set Topology (Notes)
Real Analysis I (Measure Theory on Euclidean Space) (Notes) (Selected Problems)
Real Analysis II (Notes) (Selected Problems)
Applied Functional Analysis (Notes) (Selected Problems)
Advanced ODE and Dynamical Systems (Notes) (Selected Problems)
Numerical Linear Algebra (Selected Problems)
Partial Differential Equations II (Notes) (Selected Problems)