FIU COT 3100: Discrete Structures

COT 3100 is the computer science department's discrete math course — logic, proof techniques, sets, functions, relations, counting, and graphs. FIU CS degree plans accept it interchangeably with MAD 2104, and one of the two is required before COP 3530 and CDA 3102.

Fennie is independent and not affiliated with Florida International University. This is an unofficial study guide.

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What makes it hard

Proof-writing is a skill most students have never been graded on, and induction in particular collapses under exam pressure for anyone who only watched proofs happen in lecture. The counting unit is the other reliable point-sink — problems that read identically can have different answers depending on whether order matters, and misreading that one detail flips everything.

What you'll cover

• Propositional and predicate logic
• Proof techniques and mathematical induction
• Sets, functions, and relations
• Combinatorics and counting
• Graphs and trees
• Modular arithmetic basics

The COT 3100 study guide

How to study for FIU COT 3100, step by step.

1
Write proofs from day one, not week eight
Reading a proof and producing one are different skills, and COT 3100 grades the second. Two or three written attempts a week, checked against solutions or a TA, builds the muscle exams demand.
2
Template your induction proofs
Base case, hypothesis, inductive step — write the skeleton before the content, every time. The structure is rigid, which means twenty practiced proofs make it routine.
3
Classify counting problems before solving them
Ordered or unordered, repetition or not — name the problem type in writing first. Most lost counting points are misclassification, not bad arithmetic.
4
Translate between logic and English daily
Take statements both directions: formalize English claims, then read formulas back as sentences. Predicate logic exam questions are translation tests in disguise.
5
Drill the proof habit with Fennie
Upload your COT 3100 materials and Fennie's Daily Plan spaces proof and counting practice across each week instead of the night before, with quizzes on induction and combinatorics generated from your actual notes. Free to start.
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How Fennie helps with COT 3100

Fennie's Daily Plans give COT 3100 the spaced repetition proof-writing requires — short practice blocks several times a week, which is how proof skill actually forms. Use chat to check your proof logic line by line before submitting, and drill generated counting problems sorted by type, the unit where most points vanish.

FAQ

Is COT 3100 hard at FIU?

It's abstract rather than computational, which makes it the first genuinely new kind of math most CS students have faced. Students who write proofs weekly do well; students who study by reading solved examples usually learn at the first exam that recognition isn't production.

Should I take COT 3100 or MAD 2104 at FIU?

FIU CS degree plans accept either. COT 3100 is taught in the computing school and leans toward CS framing; MAD 2104 is the math department's version. Check which fits your schedule and instructor preferences — downstream courses treat them identically.

Why do CS majors need discrete math?

It's the native reasoning of the field: algorithm correctness, running-time arguments in COP 3530, Boolean logic in CDA 3102, and every theory course after. Skipping the proof skills here means relearning them under worse conditions later.

Pass COT 3100 with a plan, not a cram

Upload your COT 3100 materials and Fennie generates a Daily Plan paced to your deadline — plus chat, flashcards, and quizzes built from the actual course content.

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More FIU courses

COP 2210 — Programming I

COP 2210 is FIU's first programming course, taught in Java — objects and classes, control flow, methods, arrays, strings, and file I/O. It's a 4-credit course with a required closed instructional lab, and it's the front door of the FIU computing majors, feeding directly into COP 3337.

COP 3337 — Programming II

COP 3337 is FIU's second programming course, deepening Java: inheritance, polymorphism, interfaces, exception handling, recursion, and an introduction to data structures. It's the bridge between writing programs that work and writing programs designed well, and it's a prerequisite for COP 3530 and CDA 3102.

COP 3530 — Data Structures

COP 3530 covers data organization and algorithm analysis — running time, abstract data types, linked lists, trees, sets, graphs, and sorting. It's the gateway to FIU's upper-division CS curriculum, and fittingly, the canonical data structures textbooks by Mark Allen Weiss were written by an FIU professor.

CDA 3102 — Computer Architecture

CDA 3102 covers the levels of organization in a computer: digital logic, machine and assembly language programming, and the design of memory, buses, the ALU, and the CPU, with virtual memory and I/O at the end. It's where FIU CS students find out what their Java has been running on all along.