Skip to main content
UMN
Computer Science
4 credits

UMN CSCI 2011: Discrete Structures of Computer Science

CSCI 2011 is UMN's discrete math course for CS majors — logic, proof techniques, sets, functions, induction, counting, and graph basics. It's the first math course most students take where the answer is an argument, not a number, and it underpins everything from algorithms to theory of computation.

Fennie is independent and not affiliated with University of Minnesota Twin Cities. This is an unofficial study guide.

Build my CSCI 2011 study plan

What makes it hard

Proofs are the wall: students who've only done computational math have never had to construct an argument, and induction in particular feels circular until it suddenly doesn't. Homework can be survived by pattern-matching solutions, but exams ask for proofs of statements you haven't seen, which is a different skill entirely.

What you'll cover

  • Propositional and predicate logic
  • Proof techniques (direct, contradiction, contrapositive)
  • Mathematical induction
  • Sets, functions, and relations
  • Counting and combinatorics
  • Intro graph theory

The CSCI 2011 study guide

How to study for UMN CSCI 2011, step by step.

  1. 1

    Learn the logic notation cold in week one

    Quantifiers, implications, and negations are the alphabet of everything after. If translating between English and logic notation costs you effort, every proof in the course gets harder than it needs to be.

  2. 2

    Write proofs from scratch, never just read them

    Reading a proof and nodding teaches recognition; exams test production. For every technique, prove statements cold from a blank page, then compare against the model — the gap is your study list.

  3. 3

    Give induction a full week of deliberate practice

    Induction feels circular until the mental model clicks: assume the smaller case, prove one step. Do many inductive proofs across several days rather than one long confused session.

  4. 4

    Verbalize the why on counting problems

    Combinatorics errors come from miscounting structure — order versus not, repetition versus not. For every counting problem, say out loud which rule applies and why before computing.

  5. 5

    Re-prove homework problems before exams

    If you can't reproduce a homework proof from a blank page two weeks later, you pattern-matched it the first time. Re-proving old problems cold is the most honest exam prep this course allows.

  6. 6

    Space the proof practice with Fennie

    Upload your CSCI 2011 syllabus and Fennie's Daily Plan spaces proof-writing practice across weeks — induction given double runway — with exam-synced review and practice questions generated from your actual material. Free to start.

    Start my CSCI 2011 plan free

How Fennie helps with CSCI 2011

Fennie's Daily Plans space CSCI 2011's proof practice across weeks, because proof skill accumulates in sittings, not sessions — with induction given the extra runway it notoriously needs. Chat through a proof's structure step by step, asking why each move is justified, until constructing arguments stops feeling like guessing.

FAQ

Is CSCI 2011 at UMN hard?

It's many CS students' hardest early course because it's the first one graded on constructing arguments rather than computing answers. Students who practice writing proofs from scratch do fine; students who read solutions and nod get exposed on exams.

Why do CS majors need discrete math?

Algorithms, complexity, cryptography, and databases all run on discrete structures — logic, induction, counting, graphs. CSCI 4041 in particular assumes 2011's proof fluency, so mastery here pays forward directly.

How do I get better at proofs in CSCI 2011?

Volume and honesty: prove statements from a blank page, compare against model solutions, and re-prove old problems cold before exams. Reading proofs builds recognition; only writing them builds the production skill exams test.

Pass CSCI 2011 with a plan, not a cram

Upload your CSCI 2011 materials and Fennie generates a Daily Plan paced to your deadline — plus chat, flashcards, and quizzes built from the actual course content.

Get started free

More UMN courses