UW-Madison CS 577: Introduction to Algorithms
CS 577 (officially COMP SCI 577) is UW-Madison's algorithms course, covering divide and conquer, greedy methods, dynamic programming, network flow, and NP-completeness, taught with proof-level rigor and widely regarded as the hardest required course in the CS major.
Fennie is independent and not affiliated with University of Wisconsin-Madison. This is an unofficial study guide.
What makes it hard
The homework is the legend: problem sets demand designing algorithms for problems you've never seen and proving them correct, which can absorb a full day per problem. Dynamic programming is the unit that breaks the most students, and exams compress the same design-and-prove skill into timed conditions. CS 240's proof fluency is assumed completely; gaps there become unaffordable here.
What you'll cover
- • Algorithm analysis and recurrences
- • Divide and conquer
- • Greedy algorithms and exchange arguments
- • Dynamic programming
- • Network flow
- • NP-completeness and reductions
The CS 577 study guide
How to study for UW-Madison CS 577, step by step.
- 1
Budget real time for every problem set
CS 577 homework problems can take hours each, and the productive struggle is the course. Start sets the day they release and spread attempts across days. Insight arrives between sessions, not during marathons.
- 2
Study paradigms as design templates
For each technique (divide and conquer, greedy, DP), internalize when it applies, what its correctness argument looks like, and its classic examples. Exams test recognizing which template fits a novel problem.
- 3
Give dynamic programming structured, repeated practice
Define the subproblem in words, write the recurrence, identify base cases, argue correctness: every time, in that order. DP is the course's famous wall and the discipline of that sequence is what gets students over it.
- 4
Practice proofs as part of every solution
An algorithm without a correctness argument is half credit at best. Write the exchange argument or induction every time you practice, because the proving is graded as heavily as the designing.
- 5
Re-solve classic problems cold before exams
Take the canonical problems from each unit and produce algorithm plus proof from a blank page under time. Exams compress homework skills into timed conditions, so train under them.
Today
Today's CS 577 plan
What a Fennie Daily Plan looks like for CS 577. Yours is built from your own syllabus and adapts every day to your deadlines and progress.
First plan free, no card required. Fennie is independent and unaffiliated with your school.
FAQ
Is CS 577 the hardest CS course at UW-Madison?
It's the most common nominee among required courses: homework demands designing and proving algorithms for novel problems, and dynamic programming breaks more students than any other unit. It's very passable with early problem-set starts and disciplined paradigm practice, and nearly impossible to cram.
How do I prepare for CS 577?
Make CS 240's proof techniques, induction especially, genuinely fluent before entering, since correctness arguments are half of every solution. During the course, start problem sets immediately and practice each paradigm's canonical problems until you can reproduce algorithm and proof cold.
Why is dynamic programming so hard in CS 577?
Because it requires inventing the right subproblem definition, which is a creative act with no mechanical recipe. The fix is disciplined structure (state the subproblem in words, write the recurrence, argue correctness) practiced across many problems until the invention step gets pattern support.
More UW-Madison courses
CS 200: Programming I
CS 200 (officially COMP SCI 200) is UW-Madison's first programming course, taught in Java. It covers variables, control flow, methods, arrays, and an introduction to objects, serving intended CS majors, data science students, and a large population just adding programming skills. It assumes no prior experience.
CS 300: Programming II
CS 300 (officially COMP SCI 300) is UW-Madison's object-oriented programming course in Java, covering classes, inheritance, interfaces, exceptions, recursion, and intro data structures like array lists and linked lists. It's one of the largest courses on campus, since it gates the CS major and serves data science, engineering, and statistics students besides.
CS 400: Programming III
CS 400 (officially COMP SCI 400) completes UW-Madison's programming sequence: data structures and their implementations (balanced search trees, hash tables, graphs) plus software development practices like version control, testing, and team projects, all in Java.
CS 240: Introduction to Discrete Mathematics
CS 240 (officially COMP SCI 240) is UW-Madison's discrete math course for the CS major: logic, proofs, induction, sets, functions, counting, recurrences, and graphs. It's the mathematical foundation that CS 577 and the theory electives build on.