CMPSCI 501: Theory of Computation

David Mix Barrington

Spring, 2022

This is the home page for COMPSCI 501. COMPSCI 501 is an advanced undergraduate/master's-level core course in the theory of computation and will deal with formal language theory (finite automata, regular languages, grammars, and pushdown automata), computability theory, and complexity theory.

COMPSCI 501 counts as an upper-level undergraduate elective course for computer science majors, a menu course for math majors in the computing track, and a theory core for M.S. students in computer science. Undergraduate and graduate students will have the same assignments and the same grade scale.

Instructor Contact Info: David Mix Barrington, 210 CMPSCI building, 545-4329), office hours for Spring 2022 TBA. Zoom number on course Moodle page.

I generally answer my email fairly reliably. I do answer my other email address, but less often, and it doesn't forward to my main address.

TA Contact Info: Greg Fleming, Rukai Cai, Office hours TBA.

Grader Contact Info: Renos Zabounidis, John Pomerat, Yi Wei.

The course is primarily intended for undergraduates in computer science and related majors such as mathematics or computer engineering, for master's students in computer science, and for graduate students in other fields with the appropriate background and interest. COMPSCI 311 (theory of algorithms) is the primary prerequisite, though this may be negotiable for students with a strong mathematics background. The mathematical techniques taught in CMPSCI 250 (or similar courses like MATH 300 or MATH 455) will be used heavily. No programming will be assigned, but familiarity with programming at the level of at least CMPSCI 187 (data structures) will sometimes be assumed. This is probably the mathematically most difficult course in the COMPSCI undergraduate curriculum. It is a semi-elective course -- it fills requirements for any CMPSCI major and many MATH majors, but should be taken only by students whose mathematical ability and/or motivation is average or above relative to COMPSCI majors.

The textbook for the course is Introduction to the Theory of Computation by Michael Sipser, third edition. This is a very good book: I will be following it very closely for my lectures, and it is a very good long-term reference, but it is rather expensive. I will be using the third edition -- the second edition has pretty much the same material (except for extra material on CFL's that I won't be using) but exercise numbers will differ. The book information has been posted on SPIRE, and thus the University's ECampus textbook entity has copies of the book available.

Lectures, typically 4-6 totaling 90-120 minutes per week, will be asynchronous and recorded on Echo360. They will follow the textbook pretty closely.

I taught this course in Spring 2021 as a fully remote class, and before that in Spring 2017, when it was considerably smaller, so I've debated how to implement it this term, coming up with a "semi-flipped" model.

We have two synchronous class meetings per week, Mondays and Wednesdays 5:30-6:45 p.m. in room S140 of the Integrative Learning Center. (As I write, UMass have not yet announced any changes for the coming term related to COVID, but it's certainly conceivable that we might go remote for some time at some point.)

My plan is to have ten discussion meetings (as in COMPSCI 250 or 311) on most Mondays. You'll be divided into groups of about four students and work together on a set of problems, with staff circulating around the room. We did this on Zoom last year, with _ad hoc_ groups, but in person I plan to assign groups and assign seats for those Mondays since we have to do this in an ordinary classroom.

For lectures, we have the recorded ones from last year, with slides, delivered by me or by Rik Sengupta, broken into five videos each week (60 total, averaging about 20 minutes each). These will be asynchronous and will be on Echo360.

Then, with the other 16 class sessions, we will have "semi-lectures". I'll address the main points of each of recorded lectures, but not in as much detail as the lectures will do. I'll also have more opportunity to work examples on the "blackboard", and respond to student questions. These will be recorded on Echo360.

We'll be using Piazza for most internal communications, Gradescope for exams and homework, and Moodle mostly to link things.

Announcements (4 January 2022):

Last modified 12 January 2022