Welcome to Computing and Data Science

This course is about applied mathematics and leveraging computing to solve problems. The topics below are so vast that we could not properly cover any individual topic in a full year. Instead, this course aims to introduce fundamental concepts that you would be unlikely to see otherwise. Read more about this course.

Course Content

Foundations

Unit	Notes	Slides	Exercises
Introduction	Notes	Slides	Exercises
Number	Notes	Slides	Exercises
Logic and Circuits	Notes	Slides	Exercises
Sequent Sum	Notes	Slides	Exercises
Set Theory	Notes	Slides	Exercises
Dynamical Systems	Notes	Slides	Exercises
Graph Theory	Notes	Slides	Exercises
Combinatorics	Notes	Slides	Exercises
Prob & Stats	Notes	Slides	Exercises

Data and Applications

Unit	Slides	Exercises
Classification	Slides	Exercises
Machine Learning	Slides	Exercises
Computer Vision	Slides	Exercises
Regression	Slides	Exercises
Cryptography	Slides	Exercises

Numerical Computing with Data

Unit	Notes	Notebook	Exercises
Python and Colab Notebooks	Notes	Colab	Exercises
Elements of DS - Variables and Values	Notes	Colab	Exercises
Elements of DS - Times and Places	Notes	Colab	Exercises
Elements of DS - Lists and Arrays	Notes	Colab	Exercises
NumPy Arrays and Slicing	Notes	Colab	Exercises
Elements of DS - Loops and Files	Notes	Colab	Exercises
Elements of DS - Dictionaries	Notes	Colab	Exercises
Elements of DS - Plotting	Notes	Colab	Exercises
Elements of DS - DataFrames and Series	Notes	Colab	Exercises
Elements of DS - Distributions	Notes	Colab	Exercises
Elements of DS - Relationships	Notes	Colab	Exercises
Elements of DS - Regression	Notes	Colab	Exercises
Elements of DS - Resampling	Notes	Colab	Exercises
Elements of DS - Bootstrap Sampling	Notes	Colab	Exercises
Elements of DS - Hypothesis Testing	Notes	Colab	Exercises

©2025 Jedediyah Williams
This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. To view a copy of this license, visit https://creativecommons.org/licenses/by-nc-sa/4.0/.