CU Boulder CSCI 2824: Discrete Structures
CSCI 2824 is CU Boulder's discrete math course for CS majors — logic, proof techniques, set theory, induction, counting, and graph theory. It's most students' first encounter with writing mathematical proofs, and it underpins the algorithms course that follows.
Fennie is independent and not affiliated with University of Colorado Boulder. This is an unofficial study guide.
Build my CSCI 2824 study planWhat makes it hard
It's a different kind of hard than programming: there's no compiler to check your work, and 'I followed the lecture' doesn't translate to producing a proof from a blank page. Induction is the famous wall, and grading rewards precise logical writing — hand-wavy arguments that feel right lose points students don't see coming.
What you'll cover
- • Propositional and predicate logic
- • Proof techniques (direct, contradiction, contrapositive)
- • Mathematical induction
- • Set theory and functions
- • Counting and combinatorics
- • Graph theory basics
The CSCI 2824 study guide
How to study for CU Boulder CSCI 2824, step by step.
- 1
Write proofs from scratch, never just read them
Following a proof in lecture and producing one cold are different skills, and CSCI 2824 grades the second. For every example you study, close the notes and rebuild it from the claim alone.
- 2
Master the logic unit completely
Quantifiers, implications, and negation rules are the grammar of every proof that follows. Ambiguity here compounds into lost points all semester — drill until translating English to logic is automatic.
- 3
Give induction triple the practice you think it needs
It's the course's famous wall because the inductive step requires using an assumption you haven't proven, which feels illegal until it doesn't. Volume of varied induction problems is the only fix.
- 4
Get feedback on your proof writing early
The gap between a correct idea and a rigorous write-up is where grades leak. Bring drafted proofs to office hours in the first month, before bad habits set in.
- 5
Treat counting problems as setup puzzles
Combinatorics errors are almost always misreading the scenario — ordered versus unordered, repetition or not. Practice classifying the problem type before reaching for a formula.
- 6
Keep the reps consistent with Fennie
Upload your CSCI 2824 materials and Fennie's Daily Plan schedules proof practice daily with induction given extra runway, plus quizzes built from your actual course content to check the logic foundations. Free to start.
Start my CSCI 2824 plan free
How Fennie helps with CSCI 2824
Fennie's Daily Plans schedule the daily proof reps CSCI 2824 actually requires, with induction given the extended runway it deserves and review synced to exams. Chat walks through why a proof works — or where yours breaks — step by step, building the precise reasoning the graders reward.
FAQ
Is CSCI 2824 at CU Boulder hard?
It's a sharp left turn from programming courses: no compiler feedback, and exams demand producing rigorous proofs from a blank page. Students who practice writing proofs cold handle it; students who only read solutions consistently don't.
How do I get better at proofs in CSCI 2824?
Rebuild every example proof from just the claim with notes closed, and get feedback on your write-ups early — the gap between a right idea and a rigorous proof is where points leak. Give induction several times the practice of other topics.
Why is discrete math required for computer science?
It's the math computing actually runs on: logic mirrors program correctness, induction mirrors recursion, and graphs and counting power the algorithms course directly. CSCI 3104 assumes 2824's proof skills fluently.
Pass CSCI 2824 with a plan, not a cram
Upload your CSCI 2824 materials and Fennie generates a Daily Plan paced to your deadline — plus chat, flashcards, and quizzes built from the actual course content.
Get started freeMore CU Boulder courses
CSCI 1300 — Computer Science 1: Starting Computing
CSCI 1300 is CU Boulder's first programming course for CS majors and minors, taught in C++ — variables, control flow, functions, arrays, and intro object concepts — with weekly recitations and a project-heavy assignment load. It's the gate into the rest of the CSCI core.
CSCI 2270 — Computer Science 2: Data Structures
CSCI 2270 is the second course in CU Boulder's CS core — linked lists, stacks, queues, binary search trees, hash tables, and graphs, implemented in C++ with pointers and manual memory management. It's the course Boulder CS students most often name as the major's first real filter.
CSCI 2400 — Computer Systems
CSCI 2400 takes CU Boulder CS students below the language level — data representation, C and assembly, the memory hierarchy, and how programs actually execute — built around a famous sequence of hands-on labs including the bomb lab, where you defuse a binary by reading its assembly.
CSCI 3104 — Algorithms
CSCI 3104 is CU Boulder's algorithms course — design paradigms like divide-and-conquer, greedy, and dynamic programming, plus graph algorithms and complexity analysis — sitting at the top of the CS core and assuming both CSCI 2270's structures and CSCI 2824's proofs.