Spring 2013 Course Notes

Hi everybody,

As I move into the edge of third year as an undergraduate student, the time that I have to actively contribute to this blog lessen more and more. However, with my new investment into a new tablet/laptop (that can last more than 1 hour) in the form of the latest Microsoft Surface Pro, I hope to make it up to everyone out there by offering not one, not two, but SIX sets of course notes this term.

Specifically I will be covering PMATH 450, PMATH 352, ACTSC 372, ACTSC 445, STAT 371 and STAT 330. I have already posted the most up to date versions of these notes in the Course Notes section of my blog and will continue to update them throughout the term, along with review notes for midterms and finals. Note that currently I am emphasizing the content of these notes rather than the aesthetics, so some areas such as the index and abstract are still under construction.

Hopefully I will have some time to present something of interest from my studies as the term goes on, but for now, all of you who are dying to know more about the details the non-measurability of transforms of \mathbb R \backslash \mathbb Q will have to make do with my notes.

Until next time,

Stochastic Seeker


Fall 2012 Exam Notes

Final exam review sheets have been posted for STAT 333 and PMATH 351 in the Course Notes section of this blog. I will update this post when more notes become available.

Update 1: The review sheet for ACTSC 371 is now available.

Update 2: The review sheet for CS 338 is now available.

Which field(s) of mathematics are you interested in?

EDIT 1: There really should be a +1 to the CO section. I just forgot to add it, when I first made the poll. Sorry!

EDIT 2: +1 to Topology as well. Please let me know if you guys have any more areas of mathematics that I’m missing!

Happy New Year Everyone!

To all my readers and friends out there, I just want to start off by wishing everyone a happy  new year! While you may not have heard from for a quite a while now, I assure you that I have been working on quite a few other projects. Here are a few that you look forward to:

  • First off, I decided to move and develop my LaTeX templates on GitHub, as per a recommendation by one of my friends, and you can now access the latest version here. Instructions are on the page in case you are not too familiar with the layout of the pages. I will still leave the link to the uWaterloo Linux website intact, but all development on that site will cease indefinitely (new files will be put up there, but not new webpages).
  • Also on GitHub, I have put up many of my coding projects, including a Stock/Black-Scholes Option simulator and a biased random walk. You can access them via this link.
  • Today (or tomorrow), I will hopefully be finishing off my “High school life, research topics, and advice for the young aspiring mathematician.” series so you can look forward to that.
  • Course notes will start coming up soon as I continue my quest to take over Lambertw’s empire of quality notes
  • I have decided to publish the fish population article for lack of updates from the original website on that problem. The problem of the square through the sphere is still under development.
  • In the future, I will be restoring my old extended essay into a cleaner LaTeX form
  • Currently I am developing a cleaner way to view projects on the site. Suggestions are appreciated; right now I am thinking of just moving everything to GitHub.
  • As for the few projects that I will be putting off, these include my Ray Tracing project and Black-Scholes mini-series due to the six-course load that I will be taking at Waterloo in the coming Winter.
  • For those of you who would like to see some an introductory article to Black-Scholes, I will be putting that up very soon.

I hope to see old and new readers coming in for the new year because now is where the content will be really flowing in!

Future Plans and Projects.

While I am still quite busy preparing for Exam FM (completing 10 mock exams), I do have quite a few short-term and long-term plans for this blog.

For the sake of being concise, here is a short list of what I have planned; many of the projects will only be started after exam FM which is on the 10th of December. However, for some of these project, I might have some to time to start on them this week:

Short-term Projects

  • Finish my proof of the volume displaced from pushing a square through a sphere; an incomplete version can be found here.
  • Complete the third entry in the high school reflection series
  • Solve an interesting population problem about fish breeding here. I will also be re-typing the problem for better coherency (new version here)

Long-term Projects (>3 months)

  • Begin typesetting notes for Exam MLC. These notes will be extremely concise and should be considered a supplement for the recommended readings here. One of the texts is free while the other requires purchase (I acquired an eBook version). Since this is the first exam that will follow the new syllabus, I will be covering the content quite thoroughly with what is listed on the syllabus.
  • Course notes for second and third year courses at uWaterloo (specifically the ones that I will be taking next term
  • “Advice for the university freshman” series; look for it during the Winter term
  • Useful financial spreadsheets

Committed Projects (>1 year)

  • Ray Tracer project (currently on hiatus until other projects are taken care of)
  • Martingales and Black-Scholes tutorial project (essentially a 30+ series of posts intended to get readers familiar with mathematically rigourous financial concepts)

In addition, I will be posting random tidbits of interesting maths finds here and there, but just don’t expect them to come that often during these coming couple of weeks.

A gift.

For my first official content related post, I thought I would start by giving out something to you, the readers. Specifically, something that’s usually marketed on many financial websites and is often used to save money and carefully plan out investments and expenses. What I am talking about is an Excel budget workbook , and it’s free of charge, of course!

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