In an effort to begin going through my sizable math book collection, I will post self-contained lecture notes (with accompanying video lectures). The goal is so that anyone with the necessary prerequisites should be able to self-study from these notes.
The inspiration for this undertaking comes from Paul’s online lecture notes. Paul’s notes have been monumentally helpful for students such as myself going through their lower-division calculus sequence. In turn, I hope that these notes are able to help someone out there.
Note: These notes are solely of my creation and as such, may contain errors. If you notice any mistakes in my notes, please contact me via email:
(my first name)@khangtong.com
Below are all the in-progress and completed lecture notes I’ve created:
Introduction to Probability with Applications (in progress) – A rigorous yet approachable introduction to probability theory.
Geometry (in progress) – Picking up right where high school left off, learn about the beautiful world of geometry through a Kleinian view.
Intermediate Linear Algebra (planned) – A second year course in Linear Algebra. Can also serve as an advanced first exposure to the subject.
Mathematical Statistics (planned) – An exciting introduction to the world of mathematical statistics with interesting examples.
Advanced Calculus (planned) – Going beyond what is traditionally taught in a lower-division calculus sequence, we will explore additional topics in calculus. For completeness, these notes can also be used to supplement a traditional calculus course.
Complex Analysis (planned) – What could be cooler than calculus with imaginary numbers?
Teaching Assistant
I’ve had the privilege of being a teaching assistant for some courses at UCSD. Here are my discussion notes:
MATH 10B – Calculus II.
MATH 11 – Calculus-based introductory probability and statistics.
MATH 18 – Linear Algebra.
Student Evaluations
| MATH 10B | Spring 2022 |
| MATH 11 | Fall 2021 |
| MATH 18 | Winter 2021 |
| MATH 20C | Fall 2022 |
| MATH 18 | Winter 2023 |
Fun Stuff
Below are some posts about cool math applications!
To Catch a Serial Killer: Rossmo’s Formula – Featured in the pilot episode of the TV show Numb3rs, this formula was developed to help find the residence of serial killers.
Textbook Solutions
Below is a collection of my worked out solutions to textbook exercises to aid in self-study. Use at your own risk as there’s likely to be mistakes.
Ross, Kenneth A. Elementary Analysis: The Theory of Calculus (very incomplete) last updated: 3/14/21