Announcements

Final Exam Logistics
December 7, 2018

The final exam is coming up this Monday, December 10th, from 3:30PM - 6:30PM. Locations are divvied up by last (family) name:

  • A - L: Go to Nvidia Auditorium.
  • M - Z: Go to Cubberley Auditorium.

The exam is closed-book, closed-computer, and limited-note. You can bring a single, double-sided sheet of 8.5" × 11" notes with you to the exam. The exam is cumulative - all topics from the problem sets and lectures are fair game. If you'd like to get a sense of what the exam might look like, check out some of the practice final exams we've posted below.

Good luck!

Problem Set 9 Released
November 30, 2018

Problem Set Nine, the final problem set of the quarter, goes out today. It's due next Friday at 2:30PM, and since that's the last day of class, this is a hard deadline. In this capstone problem set, you'll explore the true limits of computing power by looking at problems that are truly beyond our capacity to solve. It's been a long journey getting here, but wow! Look at the view from the top. We started off this class with the idea that some problems are too hard to be solved by computers, and at this point you're finally working with them!

Before you take on this problem set, we recommend reading over the Guide to Self-Reference and Guide to the Lava Diagram, which contain a bunch of useful pieces of advice on how to approach some of the problems.

You're encouraged to work on this assignment in pairs. It's a great way to bounce ideas off of someone and get extra pairs of eyes on your work.

Good luck!

Problem Set 8 Released
November 16, 2018

Problem Set Eight goes out today. It's due the Friday after break at 2:30. In the course of working through it, you'll get some experience designing context-free grammars, playing around with connections between different classes of languages, building Turing machines, and setting a firm foundation for exploring the limits of computing.

Some of the problems on this problem set will require you to use our online CFG editor and TM editor tools.

A few of the problems here reference material that would have been covered in today's lecture. Since that lecture has been canceled, we've clearly marked what these problems are on the problem set. We're planning to cover the material needed to solve those problems on the Monday when we get back from the break. If you'd like to get started earlier, we've posted the set of lecture slides we were going to use today under the "Lectures" section. You are not required to read over these slides to complete this problem set - again, we'll cover everything we need on Monday after the break.

You're encouraged to work on this assignment in pairs. It's a great way to bounce ideas off of someone and get extra pairs of eyes on your work.

Good luck!

Second Midterm Logistics
November 11, 2018

Our second midterm exam is tomorrow, Monday November 12th, from 7PM - 10PM. Locations are divvied up by last (family) name as follows, which matches the same assignments as the first exam:

  • A - L: Go to Bishop Auditorium.
  • M - Z: Go to Cubberley Auditorium.

The exam is closed-book, closed-computer, and limited-note. You can bring a single, double-sided sheet of 8.5" × 11" notes with you to the exam. The exam covers the topics from Lectures 06 - 13 (binary relations up though and including induction), and focuses on the topics from PS3 - PS5.

Good luck!

Problem Set 7 Released
November 9, 2018

Problem Set Seven goes out today. It's due next Friday at 2:30. This problem is all about regular expressions, properties of the regular languages, and the limits of the regular languages. This will be your first time formally proving that certain problems can't be solved with a certain type of computer!

Some of the problems on this problem set are designed to be completed online using our handy Regular Expression Editor. There is no coding component to this assignment.

You're encouraged to work on this assignment in pairs. It's a great way to bounce ideas off of someone and get extra pairs of eyes on your work.

Good luck!

Buttons as Finite State Machines
November 7, 2018

Here's a link to the demo of buttons as finite-state machines from today's lecture. Enjoy!

Problem Set 6 Released
November 2, 2018

Problem Set Six goes out today. It's due next Friday at 2:30. This problem is all about finite automata, regular languages, and their properties. We hope that you have fun with this one as you start exploring mathematical models of computers!

Some of the problems on this problem set are designed to be completed online using our handy DFA/NFA Editor. There is no coding component to this assignment.

You're encouraged to work on this assignment in pairs. It's a great way to bounce ideas off of someone and get extra pairs of eyes on your work.

Good luck!

Problem Set 5 Released
October 26, 2018

Problem Set Five goes out today. It's due next Friday at 2:30. This problem set explores induction in all its many forms and serves as a capstone to the first half of CS103. Once you've finished it, take a minute to look back over what you just did. Did you imagine you'd be here a little over a month after we started with set theory?

Before starting this assignment, we recommend reading over our Guide to Induction and our Induction Proofwriting Checklist, which contain some useful tips and techniques that we think will help you out.

This assignment has a programming component. You can download the starter files either using the previous link or in the "Assignments" section below.

You're encouraged to work on this assignment in pairs. It's a great way to bounce ideas off of someone and get extra pairs of eyes on your work.

Good luck!

Midterm Logistics
October 19, 2018

Our first midterm exam is this upcoming Monday from 7PM - 10PM. Locations are divvied up by last (family) name as follows:

  • A - L: Go to Bishop Auditorium.
  • M - Z: Go to Cubberley Auditorium.

The exam is closed-book, closed-computer, and limited-note. You can bring a single, double-sided sheet of 8.5" × 11" notes with you to the exam. The exam covers the topics from Lectures 00 - 05 (set theory up through and including first-order logic), and focuses on the topics from PS0 - PS2.

We've posted a set of extra practice problems along with four practice midterm exams. Feel free to use those as study resources and to contact us with any questions you might have!

We strongly recommend checking out our handout on how to prepare for the midterm exam, which contains our general policies along with some advice from students of quarters past.

Good luck, and let us know what else we can do to help out!

Problem Set 4 Released
October 19, 2018

Problem Set Four goes out today. This one doesn't have a checkpoint - all the problems are due on Friday of next week at 2:30PM. This problem set continues our exploration of discrete structures and ventures from the finite (through graphs) to the infinite (through functions and cardinality).

We strongly recommend reading over our Guide to Cantor's Theorem before starting this problem set, since it contains a number of important definitions you'll need along the way.

This assignment has a programming component. You can download the starter files either using the previous link or in the "Assignments" section below.

You're encouraged to work on this assignment in pairs. It's a great way to bounce ideas off of someone and get extra pairs of eyes on your work.

Good luck!

Problem Set 3 Released
October 12, 2018

Problem Set Three goes out today. It consists of two parts - a checkpoint assignment due on Monday at 2:30PM, and some remaining problems due next Friday at 2:30PM. This problem set explores discrete structures (binary relations and functions), what they look like, how they act, and how to prove things about them. A few of the problems from this problem set reference concepts that we will be covering this upcoming Monday. They're clearly marked as such.

Before you start this problem set, please read over our Guide to Proofs on Discrete Structures, which provides advice about how to prove results when definitions are specified in first-order logic, and our discrete structures proofwriting checklist, which contains a number of specific things to look for in the course of writing your proofs.

This assignment has a programming component. You can download the starter files either using the previous link or in the "Assignments" section below.

You're encouraged to work on this assignment in pairs. It's a great way to bounce ideas off of someone and get extra pairs of eyes on your work.

Good luck!

Problem Set 2 Released
October 5, 2018

Problem Set Two goes out today. It consists of two parts - a checkpoint assignment due on Monday at 2:30PM, and some remaining problems due next Friday at 2:30PM. In it, you'll dive into propositional and first-order logic and get some more practice with your proofwriting.

Before you start this problem set, you may want to play around with our Truth Table Tool, which you might want to use on some of the earlier problems. Additionally, you should read over our Guide to Negations and Guide to Logic Translations, which go into some depth about skills you'll need on the problem set.

We've also released a logic translation checklist. This handout details five specific points to watch out for when translating statements from English into first-order logic. Please read over this checklist and apply it to all the translations you write before you submit them - we'll be doing the same when we're grading things!

This assignment has a programming component. You can download the starter files either using the previous link or in the "Assignments" section below.

You're encouraged to work on this assignment in pairs. It's a great way to bounce ideas off of someone and get extra pairs of eyes on your work.

Good luck!

Problem Set 1 Released
September 28, 2018

Problem Set One goes out today. It consists of two parts - a checkpoint assignment due on Monday at 2:30PM, and some remaining problems due next Friday at 2:30PM. This problem set explores set theory and mathematical proof techniques, and we hope that you have a lot of fun with it!

We've also released a number of handouts alongside this problem set. The handout on mathematical vocabulary talks about the precise meanings of certain mathematical terms. Our Guide to Indirect Proofs talks about writing proofs by contradiction and contrapositive.

We've also released a handout with ten techniques to get unstuck if you find yourself unsure how to proceed. Please look over this handout - there's a lot of good problem- solving techniques in there!

Finally, we've released our proofwriting checklist. This handout details five specific points to watch out for when writing proofs. Please read over this checklist and apply it to all the proofs you write before you submit them - we'll be doing the same when we're grading things!

This assignment has a small programming component. You can download the starter files either using the previous link or in the "Assignments" section below.

You're encouraged to work on this assignment in pairs. It's a great way to bounce ideas off of someone and get extra pairs of eyes on your work.

Good luck!

Two Quick Links on Infinity
September 26, 2018

For those of you who are interested in learning more about the nature of infinity and just how weird it is, I recommend checking out this video about the Hilbert Hotel, which is closely related to our proofs about integers and naturals. For a totally different, but absolutely beautiful, perspective on Cantor's theorem, check out this article by William Kuszmaul, a recent Stanford grad who's now working at MIT on his PhD!

Welcome to CS103!
September 21, 2018

Welcome to CS103, an introduction to discrete mathematics, computability theory, and complexity theory! We have an great quarter ahead of us filled with interesting and exciting results in the power and limits of computation, and I hope that you're able to join us.

If you have any questions in the meantime, feel free to email us at htiek@cs.stanford.edu.

See you soon!

Handouts

51: CS103 Timeline
30: How to Improve in CS103
28: Induction Proofwriting Checklist
27: Guide to Induction
20: Preparing for the Exam
17: Discrete Structures Checklist
16: Guide to Discrete Structures
15: Regrade Policies
13: Logic Translation Checklist
11: Proofwriting Checklist
10: Ten Techniques to Get Unstuck
09: Guide to Indirect Proofs
08: Mathematical Vocabulary
07: Guide to Set Theory Proofs
06: How to Succeed in CS103
05: Problem Set Policies
04: Honor Code
02: Math Prereqs
01: Syllabus
00: Course Information

Assignments

Problem Set 9 Problem Set 8 Problem Set 7 Problem Set 6 Problem Set 5 Problem Set 4 Problem Set 3 Problem Set 2 Problem Set 1 Problem Set 0

Practice Problems

Practice Final Exam 7
  (solutions)
Practice Final Exam 6
  (solutions)
Practice Final Exam 5
  (solutions)
Practice Final Exam 4
  (solutions)
Practice Final Exam 3
  (solutions)
Practice Final Exam 2
  (solutions)
Practice Final Exam 1
  (solutions)
Extra Practice Problems 3
  (solutions)
Practice Second Midterm Exam 6
  (solutions)
Practice Second Midterm Exam 5
  (solutions)
Practice Second Midterm Exam 4
  (solutions)
Practice Second Midterm Exam 3
  (solutions)
Practice Second Midterm Exam 2
  (solutions)
Practice Second Midterm Exam 1
  (solutions)
Extra Practice Problems 2
  (solutions)
Practice Midterm Exam 4
  (solutions)
Practice Midterm Exam 3
  (solutions)
Practice Midterm Exam 2
  (solutions)
Practice Midterm Exam 1
  (solutions)
Extra Practice Problems 1
  (solutions)

Exams

Midterm Exam 2
  (full solutions)
  (preliminary solutions)
  (regrade form)

Midterm Exam 1
  (solutions)
  (regrade form)

Resources

Office Hours Calendar
Lecture Videos
Course Reader
CS103A Website
Guide to ∈ and ⊆
Qt Creator
Truth Table Tool
Guide to Negations
Guide to Logic Translations
Guide to Cantor's Theorem
DFA/NFA Editor
Regex Editor
Regex Equivalence Tester
CFG Editor
TM Editor
Guide to Self-Reference
Guide to the Lava Diagram
Review Session Slides

Lectures

27: The Big Picture
   Slides
26: Complexity Theory, Part II
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25: Complexity Theory, Part I
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24: Unsolvable Problems, Part II
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23: Unsolvable Problems, Part I
   Slides | Condensed | Code
22: Turing Machines, Part III
   Slides | Condensed
21: Turing Machines, Part II (Canceled)
   Slides | Condensed
20: Turing Machines, Part I
   Slides | Condensed
19: Context-Free Grammars
   Slides | Condensed
18: Nonregular Languages
   Slides | Condensed
17: Regular Expressions
   Slides | Condensed
16: Finite Automata, Part III
   Slides | Condensed
15: Finite Automata, Part II
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14: Finite Automata, Part I
   Slides | Condensed
13: Induction, Part II
   Slides | Condensed
12: Induction, Part I
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11: Graphs, Part II
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10: Graphs, Part I
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09: Cardinality
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08: Functions
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07: Binary Relations, Part II
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06: Binary Relations, Part I
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05: First-Order Logic, Part II
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04: First-Order Logic, Part I
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03: Propositional Logic
   Slides | Condensed
02: Indirect Proofs
   Slides | Condensed
01: Direct Proofs
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00: Set Theory
   Slides | Condensed