CS 573: Stuff You Already Know

This page lists several basic mathematical concepts, data types, data structures, and algorithms with links to coresponding Wikipedia pages. Almost all of these topics are covered in CS 173 and CS 225, our undergraduate discrete mathematics and data structures classes. We assume that everyone taking CS 573 is already familiar with everything on this list, or at least has the intellectual maturity to learn it on the fly. (We recommend using an actual textbook to learn any of these concepts for the first time; the Wikipedia Cloud makes some very strange choices.)


Mathematics

For a solid introduction to most of these topics, I strongly recommend Eric Lehman and Tom Leighton's extensive lecture notes for the Mathematics for Computer Science course at MIT.


Abstract data types


Data structures

You may use any of these data structures in your homeworks and exams without providing further details or citing any source. If you use a small modification of one of these data structures, just describe your changes; don't regurgitate the original data structure details.


Algorithms

You may use any of these algorithms in your homeworks and exams without providing further details or citing any source. If you use a small modification of one of these algorithms, just describe your changes; don't regurgitate the original algorithm details.