Module 05

AI/ML Foundations

AI/ML Foundations

The Math That Makes AI Work

Linear algebra, calculus, and probability through hands-on Python code. No proofs, just the intuition that matters.

The Math That Makes AI Work

Frameworks like PyTorch and TensorFlow hide a lot of math, but the math doesn't go away. It just becomes invisible until something breaks. Understanding the mathematical foundations1 lets you debug training failures, read research papers, and make informed architectural decisions. This tutorial covers the essential concepts with Python code for each one.

Tutorial Goals

  • Linear Algebra — how data flows through AI models
  • Calculus — how models learn and improve
  • Probability & Statistics — how to handle uncertainty
  • Every concept implemented in Python code
  • Connections to real ML models you'll build next

Why Mathematics Matters

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References

Footnotes

  1. Mathematics for Machine Learning

  2. Essence of Linear Algebra

  3. The Matrix Calculus You Need for Deep Learning

  4. Why Momentum Really Works