STE005: Mathematical Reasoning
Definitions, theorems, and proof: learn to state ideas precisely, read structure, and write arguments you can stand behind.
Definitions — Being Precise
Week 1 · Module 5 · Lesson 1
Pin concepts down so informal language cannot slip past you: what a definition is for and how to use it.
Theorems, Lemmas, Propositions & Corollaries
Week 2 · Module 5 · Lesson 2
Understand how different kinds of results fit together in a mathematical paper or proof.
Proof Structures
Week 3 · Module 5 · Lesson 3
Direct proof, contradiction, and induction: recognize the skeleton of an argument before you fill in the details.
Common Proof Techniques in RS/ML
Week 4 · Module 5 · Lesson 4
Techniques that show up often in retrieval and machine learning work: how to spot and apply them.
Writing Your First Proof
Week 5 · Module 5 · Lesson 5
Turn a clear idea into written steps: structure, language, and checks that keep your proof readable.