Problem Set 9 Released

November 22, 2019

Problem Set Nine, the final problem set of the quarter, goes out today. It's due the Friday after break 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 15, 2019

Problem Set Eight goes out today. It's due Friday 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.

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 7 Released

November 8, 2019

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!

Problem Set 6 Released

November 1, 2019

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 may find it helpful to read over the Guide to the Subset Construction before starting this problem set.

*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 25, 2019

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.

*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 4 Released

October 18, 2019

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.

*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 14, 2018

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

`A - G`: Go to Hewlett 201.`H - Z`: Go to Hewlett 200.

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 three 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 3 Released

October 11, 2019

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.

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.

*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 4, 2019

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. Think of it as a style guide for first-order logic - it's a mix of advice about how to keep your formulas clean and readable and how to avoid common pitfalls.

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

*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 27, 2019

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. 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 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.

*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!

Welcome to CS103!

September 19, 2019

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!

50: Timeline of Results

29: How to Improve

27: Induction Proofwriting Checklist

26: Guide to Induction

19: Preparing for the Exam

16: Discrete Structures Checklist

15: Guide to Discrete Structure Proofs

14: Regrade Policies

12: Logic Translation Checklist

10: Proofwriting Checklist

09: Ten Techniques to Get Unstuck

08: Guide to Indirect Proofs

07: Guide to Set Theory Proofs

06: How to Succeed

05: Problem Set Policies

04: Honor Code

02: Math Prereqs

01: Course Calendar

00: Course Information

- Assignment Handout
- Starter Files
- Checkpoint LaTeX Template
- LaTeX Template
- Checkpoint Solutions
- Solutions

Practice Final Exam 8

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Practice Final Exam 7

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Practice Final Exam 6

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Practice Final Exam 5

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Practice Final Exam 4

(solutions)

Practice Final Exam 3

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Practice Final Exam 2

(solutions)

Practice Final Exam 1

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Extra Practice Problems 3

(solutions)

Practice Second Midterm Exam 5

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Practice Second Midterm Exam 4

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Practice Second Midterm Exam 3

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Practice Second Midterm Exam 2

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Practice Second Midterm Exam 1

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Extra Practice Problems 2

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Practice Midterm Exam 4

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Practice Midterm Exam 3

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Practice Midterm Exam 2

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Practice Midterm Exam 1

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Extra Practice Problems 1

(solutions)

Office Hours Calendar

Course Reader

CS103A Website

Guide to ∈ and ⊆

Qt Creator

Truth Table Tool

Guide to Negations

Guide to Logic Translations

Guide to Cantor's Theorem

Guide to the Subset Construction

DFA/NFA Editor

Regex Editor

Regex Equivalence Tester

CFG Editor

TM Editor

Guide to Self-Reference

Guide to the Lava Diagram

Review Session Slides

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