6120a Discrete Mathematics And Proof For Computer Science Fix May 2026
“6120A: Discrete Mathematics and Proof for Computer Science”
(with a focus on “fix” — likely meaning a corrected, revised, or definitive syllabus / topic guide)
The "fix" for common struggles in this course involves transitioning from rote calculation to formal symbolic reasoning and rigorous proof construction. Core Syllabus Overview
Elias looked at the symbol. It felt wrong. Using a hack in a class about mathematical purity? It was like using duct tape to repair a surgical scalpel. “Proof by example” – invalid except for existential
Since you mentioned a "fix," I've put together a post that addresses common "pain points" and how to overcome them. Surviving CS 6120: How to "Fix" Your Proof Game
Sets, Relations, and Functions: The language of mathematics used to define data structures. “Proof by example” – invalid except for existential
Fix for induction: Always show P(k) → P(k+1) without assuming P(k+1).
Many students and professionals struggle with understanding discrete mathematics and proof, citing the following challenges: “Proof by example” – invalid except for existential
Set Theory and Functions: Understanding how data is grouped and mapped. This is the mathematical foundation for databases and data structures.
8. Corrected (Fixed) Misconceptions Addressed Explicitly
- “Proof by example” – invalid except for existential claims.
- Induction starting at 0 vs 1 – always specify base case.
- Confusing converse vs contrapositive – only contrapositive is logically equivalent.
- “A function is invertible iff it’s one‑to‑one” – false; must be bijective.
- Big‑O misuse – “O(n) algorithm runs in ≤ n steps” – no, it’s asymptotic, not exact.
- Empty set membership – ∅ ≠ ∅.
- Relation vs function – every function is a relation, not conversely.