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

Waterloo Faculty of Mathematics
 Computer Science

Math
 MATH 135 (F2020) Algebra for Honours Mathematics
 MATH 136 (W2021) Linear Algebra I for Honours Mathematics
 MATH 137 (F2020) Calculus I for Honours Mathematics
 MATH 138 (W2021) Calculus II for Honours Mathematics
 MATH 146 (W1989) Linear Algebra I (Advanced)
 MATH 239 (F2022) Introduction to Combinatorics
 Pure Math
 Combinatorics and Optimization
 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
Flashcard sets for the whole course so far.
Study materials by Ace are also published before each assessment.
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.
Economics
ECON 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.
ECON 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.
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?  Notes 

Module 11 Exercises  
Module 12 Exercises  
Module 13 Exercises  
Module 14 Exercises  
Module 15 Exercises  
Module 16 Exercises 
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.
CS 341 (S2023) Algorithms
My lecture notes are available, taken live during lecture. I will try and format for publishing weekly.
CS 350 (S2023) Operating Systems
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 146 (W1989) Linear Algebra I (Advanced)
I found an old copy of my father’s Linear Algebra, 2nd edition by Hoffman and Kunze from when he was at Waterloo (and had the guts to take 14x courses). I have no idea if anyone at all would find these useful, but here are my solutions so far. Note that I use the notation from the book, which might hurt when MATH 136 starts.
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.
Combinatorics and Optimization
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.
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
).