Lecture 1: Mathematical Preliminaries A

Part 1 · Mathematical Preliminaries

Lecture: Monday, September 7, 2026

The first class begins with the course introduction and arrangement briefing, then continues directly into the first lesson.

Topics

• Probability and concentration inequalities
• Norms and geometry
• Compact singular-value decomposition and singular directions
• Hilbert spaces

Materials

• 📄 Lecture 1 Learning Sheet
• 📝 Lecture 1 Validation — Questions
• 📖 Lecture 1 Validation — With Solutions
• 📋 Lecture 1 Cheatsheet

Tutorial Notes

• Tutorial 1: Expectation, Bounds, and Covariance

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