This is an open archive from my time (and my friends’ times)
as Waterloo and Laurier CS/BBA and MATH/BBA students.
If you find it useful and want me to endure more pain,
consider sending me a coffee bubble tea.
Minus Stripe/PayPal’s 30¢ transaction fee, of course.
About
All contributors to this archive are students. Nothing here is official. There are no guarantees that content is remotely close to correct. Frankly, it’s more likely that it’s not. Please let me know if you find a mistake though! Or, in the spirit of open source, make a pull request fixing it.
Everything here is published under information and belief that it is permitted by relevant faculty; please contact me if anything is not and I will take it down.
Contribution, Sharing, and ReUse
If you would like to add your own work to the site, please make a pull request. If you’re not familiar with Git, contact me and I’m happy to help.
Anything that helps future students (lecture/textbook notes, exercises, etc.) is acceptable, provided that you are happy to release it freely.
Unless otherwise specified, all content here is licensed under a Creative Commons Attribution ShareAlike 4.0 International License (CCBYSA 4.0). This means you can do whatever you want with it, provided you (1) give credit and (2) also release your work openly. Nonfree study resources behind hard paywalls suck. Learning is painful and agonizing enough as it is.
If you want to use my agony
document class for \(\LaTeX\),
feel free to download it and look through the macros.
The reference sheets on this site use an adapted config for MathJax.
The agony
class is documented here.
Table of Contents

Lazaridis School of Business and Economics

Business
 BU 111 (F2020 + F2022) Introduction to the Business Environment
 BU 121 (W2021) Functional Areas of the Organization
 BU 121 (W2024) Critical Thinking and Communication Skills
 BU 288 (F2021) Organizational Behaviour
 BU 231 (S2022) Business Law
 BU 352 (F2022) Introduction to Marketing
 BU 354 (F2022) Human Resources Management
 BU 387 (F2023) Intermediate Accounting I
 BU 398 (S2023) Organizational Behaviour II
 Economics

Business

Waterloo Faculty of Mathematics

Computer Science
 CS 135 (F2020) Designing Functional Programs
 CS 136 (W2024) Elementary Algorithm Design and Data Abstraction
 CS 245 (F2021) Logic and Computation
 CS 246 (S2023) ObjectOriented Software Development
 CS 330 (F2023) Management Information Systems
 CS 341 (S2023) Algorithms
 CS 350 (S2023) Operating Systems
 CS 480/680 (W2024) Introduction to Machine Learning
 CS 886 (W2024) Advanced Topics in Artificial Intelligence
 Math
 Pure Math
 Combinatorics and Optimization

Computer Science
 Mistakes
 Contact
Lazaridis School of Business and Economics
Business
Quizlet flashcards are not mine: thank Imaad for them.
BU 111 (F2020 + F2022) Introduction to the Business Environment
Flashcards available for PEST factors and strategic expansion.
Complete notes for F2022 Midterm and Final by Sophia.
BU 121 (W2021) Functional Areas of the Organization
BU 121 has since been completely redesigned. These materials are no longer in any way representative of the course content.
Flashcard sets for the whole course so far.
Study materials by Ace are also published before each assessment.
BU 121 (W2024) Critical Thinking and Communication Skills
Notes from the entire course, including readings, by Chloe and Stella.
Final exam flashcards by Yash and Karthik.
BU 288 (F2021) Organizational Behaviour
Another flashcard set for the two midterms and final exam.
BU 231 (S2022) Business Law
Yet more Quizlet cards by Imaad for the midterm.
A review casebook using real life fact patterns is available here.
For postmidterm content, Imaad made a summary in flowchart format.
BU 352 (F2022) Introduction to Marketing
Work in progress flashcard set by Imaad which will be updated throughout the term.
BU 354 (F2022) Human Resources Management
Likewise, a continuouslyupdated flashcard set by Imaad.
BU 387 (F2023) Intermediate Accounting I
Chapter notes by Imaad.
BU 398 (S2023) Organizational Behaviour II
RemNote flashcards which also serve as lecture notes.
Economics
EC 120 (F2020) Introduction to Microeconomics
No “practice”, but figured this is a nice place to host my cheat sheets. They are created on Figma, and the source files are available here.
If you just want the sheets, you can get them all at my KoFi shop (which is, as always, paywhatyouwant). They remain on this GitHub repository too.
Some notes by Benny!
EC 140 (W2021) Introduction to Macroeconomics
I hastily put together an equation sheet after lecture on the 4th. Let me know if there’s mistakes.
Cheat sheets are being provided on my paywhatyouwant store. Set the price based on your marginal propensity to consume cheat sheets.
Versioning is semantic: anything that is wrong/serious bumps the major version, aesthetic changes bump the minor version.
File  Last Updated 

Test 1 Cheat Sheet  Feb 12, 8:20pm (version 2) 
Test 2 Cheat Sheet  Mar 19, 5:09pm (v2.0) 
Exam Cheat Sheet  Apr 20, 6:49pm (v0.1) 
Might also be helpful: Will put together a compilation of sample algebraic solution processes.
Some notes by Benny!
Waterloo Faculty of Mathematics
Computer Science
CS 135 (F2020) Designing Functional Programs
I don’t implement the full design recipe in exercises, for obvious reasons (I’m lazy).
File  Complete? 

Module 11 Exercises  
Module 12 Exercises  
Module 13 Exercises  
Module 14 Exercises  
Module 15 Exercises  
Module 16 Exercises 
CS 136 (W2024) Elementary Algorithm Design and Data Abstraction
Examples and explanations for how pointers in C work. Examples and explanations
Course notes, from sessions 6 through 11, by Stella and Chloe.
More course notes by Benny
Mock final, and mock final solutions, by Tommy and Benny
CS 245 (F2021) Logic and Computation
My own version of the reference sheet is a bit more compact.
CS 246 (S2023) ObjectOriented Software Development
Lecture notes from Ananya are available. These should be uptodate with the latest course redesign.
Detailed lecture notes by Benny, Tommy and Yifei.
CS 330 (F2023) Management Information Systems
RemNote flashcards/lecture notes by Imaad. This should honestly be in the BU section.
CS 341 (S2023) Algorithms
My lecture notes are available, taken live during lecture.
CS 350 (S2023) Operating Systems
Lecture notes for the first few lectures, before I gave up on going to class.
CS 480/680 (W2024) Introduction to Machine Learning
Lecture notes, updated after each lecture.
CS 886 (W2024) Advanced Topics in Artificial Intelligence
On the topic of “diffusion models for generation, inference and optimization”.
Seminar notes
from my audit of the course have been moved to the etudes
repository.
I am very not qualified to understand what’s going on,
so these are really just a personal, public commitment to trying to learn.
Math
MATH 135 (F2020) Algebra for Honours Mathematics
Extra Practice files have been collated and reformatted as one big PDF. Older files can be found in the Git history.
File  Complete?  Notes 

Extra Practice 1  
Extra Practice 2  
Extra Practice 3  
Extra Practice 4  Missing C02.  
Extra Practice 5  
Extra Practice 6  Missing C03/05/06. RP09 by sooshi.  
Extra Practice 7  Missing C01  
Extra Practice 8  
Extra Practice 9  
Extra Practice 10  Missing C02. RP10 by sooshi.  
Extra Practice 11  Missing C01  
Fall 2018 Midterm  
Fall 2019 Midterm  
Winter 2020 Midterm  
Winter 2020 Final 
MATH 136 (W2021) Linear Algebra I for Honours Mathematics
A collection of theorems can be found here and practice problems here.
MATH 137 (F2020) Calculus I for Honours Mathematics
File  Complete?  Notes 

Practice Assignment 1  
Practice Assignment 2  
Practice Assignment 3  
Practice Assignment 4  
Practice Assignment 5  
Practice Assignment MT  Posted as Practice AssignMT on LEARN 

Practice Assignment 6  
Practice Assignment 7  
Practice Assignment 8  
Practice Assignment 9  
Practice Assignment 10  
Practice Assignment FE  
Practice Midterm 1  Posted as midterm_practice on LEARN 

Practice Final F2019 
MATH 138 (W2021) Calculus II for Honours Mathematics
A collection of theorems can be found here.
Jimmy has notes for series and Taylor series.
MATH 239 (F2022) Introduction to Combinatorics
My lecture notes (incomplete and somewhat experimental) are available. You might be interested in the source if you want to use TIKZ for graph theory.
There are also exercise solutions for the course notes (using the Part I F2020 and Part II S2018 course notes). Progress:
Chapter  Complete?  Notes 

Ch. 1 (Basic Principles)  
Ch. 2 (Generating Series)  Missing 2.8, 2.13(b)(c), 2.1621  
Ch. 3 (Binary Strings)  Missing 3.13(b), 3.14(d)  
Ch. 4 (Recurrence Relations)  Missing 4.1012  
Ch. 4 (Graph Theory Intro.)  Missing 4.4.910, 4.4.12, 4.5, 4.6.23, 4.6.10  
Ch. 5 (Trees)  Missing 5.3.2, 5.4, 5.5  
Ch. 6 (Codes)  
Ch. 7 (Planar Graphs)  Missing 7.4, 7.6.1, 7.6.713, 7.8  
Ch. 8 (Matchings)  Missing 8.2.717, 8.3, 8.6, 8.8 
Pure Math
PMATH 348 (S2023) Fields and Galois Theory
Lecture notes by Imaad. They were originally written in Obsidian (which uses a different Markdown parser), so they look a little funny after spamming regexes to try and make it GFMfriendly.
PMATH 370 (W2024) Chaos and Fractals
Lecture notes, updated after each lecture.
Combinatorics and Optimization
CO 250 (S2022) Introduction to Optimization
Lecture notes originally written in Obsidian. Like the PMATH 348 notes, they look weird.
Work in progress: porting the lecture notes to \(\LaTeX\).
CO 485/685 (F2022) Mathematics of PublicKey Cryptography
More lecture notes with the caveat that (1) I am not actually enrolled in the course and just sit in it for fun and (2) I am missing two levels of prerequisites and do not fully understand the content.
CO 487 (W2024) Applied Cryptography
Lecture notes, updated after each lecture.
Mistakes
Because it’s motivating or something, here’s a list of all of my mistakes. Hopefully it makes you feel better about yours. Thanks to everyone on the list who’ve helped me make this resource better for everyone :)
Errata corrige
 MATH135/EP04/RP04 Messed up basic arithmetic (Roy)
 MATH135/EP03/RP09 Rewrote completely incomprehensible proof (Gabriel)
 MATH135/EP03/RP05 Proved a there exists statement by exhausting the domain (Angela)
 MATH135/EP06/RP05 Got the divides relation backwards for an incoherent proof (Quan)
 MATH135/EP11/RP03(a) Forgot the quadratic formula for a moment (Caitlin)
 MATH135/EP08/RP05 Totally forgot a question entirely (Javin)
 MATH135/EP11/RP01 Obviously, 2 + 1 = 1 (sooshi)
 MATH135/EP10/RP15(b) Overcomplicated proof when it follows almost immediately from the previous question (sooshi)
 ECON120/Final (v1.0) Deadweight loss of monopoly is between MC and demand, not price and demand (Jimmy Zhan)
 ECON120/Final (v1.1) Wrong colour on tarriff supply and demand curves
 ECON140/Test 1 (v1.1) NX curve description under AE curve section, simple multiplier given as A/Y not Y/A (Trisha)
 MATH137/PA01/Q01(2) 4  2 = 2 (hyk)
 MATH135/EP01/RP02 Replace tuple notation with standard quantifiers
 MATH135/EP02/WE01 Duplicated truth table
 MATH135/EP01/RP02 Questions changed
 MATH135/MT2020W/Q02 Question copied wrong
 MATH135/MT2018F/Q05 Negated implication wrong (#7)
 MATH135/EP08/RP09 Applied CRT without checking pairwise coprimeness
 MATH135/EP06/RP01(b) Mistyped number (joseph)
 MATH135/EP06/RP03 Flipped the divisor \(d\) and the dividends \(x\) and \(y\) (joseph)
 MATH135/EP08/RP01 Fixed a substitution typo; the remainder should be 8, not 3 (Yuqiao)
 MATH135/EP06/RP09 Flipped the directional arrows of the proof (Vivek)
 MATH135/EP08/RPWE2 Should be \(4(4) \equiv 5 \pmod{21}\) (Dan)
 MATH135/EP08/RP04 Can reduce \(x^{26}\) to \(x^2\) with CFlT – makes the table less fat (Dan)
 MATH135/FE2021W/Q03 Can’t apply FlT, since 10 is not prime (Dan)
 MATH135/FE2021W/Q08 7  1 = 8 (Dan)
 MATH135/FE2021W/Q010 Found counterexample (part a) and RHS is not the set of integers (part b) (Dan)
 MATH135/EP04/RP01(b) Another 0 = 1 typo (Evelina)
 MATH135/EP06/RP06 Factoring typo (Prasana, #18)
 MATH135/EP01/WE1(b) 28 + 3 = 25 (Imran, #20)
 MATH135/EP11/RP03(e) …another factoring typo (Linda, #24)
 MATH135/EP10/RP12 Wrong expansion of \((\cos\theta + i\sin\theta)^4\) (Jessica and Evelina)
 MATH135/EP10/RP15 Backwards divisibility notation (Linda, #25)
 MATH135/EP11/RP03 Did not fully factor quadratic (Jessica & Evelina, #26)
 MATH135/EP10/WE04 2 × 1 = 1 (Christina, #27)
 MATH135/EP09/RP01 Flipped digits in final answer (various, #28)
 MATH135/EP10/RP01 Lost a negative (various, #29)
 MATH135/FE2020W/Q07 Rooted modulus instead of squaring (Max)
Contact
Did you find a mistake?
Reach out by opening a discussion on GitHub
or by one of email,
Facebook,
Instagram,
and Discord (@retrocraft
).