Welcome to my collection!
In this online portfolio, I document my college journey and share resources for students with similar mathematical goals. I hope you find the topics useful, and I welcome any feedback.
How to Navigate Each Course
Each of the courses below follow the structure as laid out in my college courses as I learn the material. However, this might feel differently from the way that the reader has learned it in the past or is learning in their current classes. As such, I've added a few navigation tools to help ease the search for wanted information.
Each course has a landing page to a table of contents. Clicking on any of the links will take you to a lesson, and at the end of each lesson are two links: a link to the next lesson in the collection, and a link back to the table of contents. There are also links embedded in some of the lessons for topics that you might want to reference, if necessary. Some of these embedded links are also available to topics that I have expanded on.
The solutions to these focus mainly on the methods and theories used to solve the problems rather than the calculations. If any calculations are incorrect, I would appreciate the feedback. Every day, I continue to dive deeper into the world of applied and discrete mathematics. These lessons may be updated to include more in depth analyses as a result.
NOTE: Unfortunately, the code for the graphs and diagrams that I have written do not render properly using a digital garden :( I will try to come up with a fix as soon as possible.
Thanks for stopping by!
Topics in Mathematics:
An Introduction to Ordinary Differential Equations
Topics in C.S.:
Programming with Java
Upcoming Projects:
Coming Spring 2025:
- Single Variable Calculus
- Matrix-Based Numerical Analysis and Scientific Computing
- An Introduction to Graph Theory
- An Introduction to Mathematical Cryptography
Coming Summer 2025:
- Multivariable Calculus
- Introduction to Linear Algebra
- Applied Probability and Statistics
More Upcoming Collections in Mathematics:
- Complex Variables
- Partial Differential Equations
- Advanced Calculus
- Calculus-Based Numerical Analysis and Scientific Computing
- Linear and Non-Linear Optimization
- Discrete Mathematics
More Upcoming Collections in Computer Science:
- Programming with Python
- Programming with Kotlin
- Programming with Swift
- Data Structures and Algorithms