To succeed, you need to build a strong foundation in key areas. Here’s what the course will cover and what you need to know.
The course involves weekly problem sets, usually released on Tuesdays and due on Mondays.
Prove A ∩ (B ∪ C) ⊆ (A ∩ B) ∪ (A ∩ C) .
You are spending hours reading Wikipedia pages or watching disconnected YouTube videos instead of solving targeted problems. 2. The Core Pillars of CS 6120A (And How to Fix Them) Propositional and First-Order Logic To succeed, you need to build a strong
Do not just memorize definitions; draw visual representations. Use Venn diagrams for sets. Use coordinate grids or directed graphs (digraphs) to visualize relations.
The grading schema is designed to weigh theoretical understanding equally with practical application.
If you are currently falling behind, these three tactical changes can save your grade: Prove A ∩ (B ∪ C) ⊆ (A ∩ B) ∪ (A ∩ C)
If you see ax ≡ 1 (mod n) , you need an inverse. It exists iff gcd(a,n) = 1 . Use the Extended Euclidean Algorithm. Don’t guess. Practice it until mechanical.
," know instantly that the negation flips the quantifiers: "There exists a program such that for all inputs does not halt on Proof Techniques (The Core Mechanics)
is true. Use this when the definitions directly link the hypothesis to the conclusion (e.g., proving a number is even or odd). To prove , you prove The Core Pillars of CS 6120A (And How
It’s easy to feel like CS 6120A is "useless" math, but it is actually the foundation of high-level engineering: is the basis of circuit design and boolean search.
If you need to fix your standing in 6120A right now, abandon passive reading and implement these active study habits: Treat Proofs Like Code