You can find a copy of my paper in the Resource tab of this blog.

]]>I am also doing my EE in maths, is it possible for me to see a sample of your paper?

Im planning to do it on mathematcs in nature based on the 1998 movie PI.

“Restate my assumptions: One, Mathematics is the language of nature. Two, Everything around us can be represented and understood through numbers. Three: If you graph the numbers of any system, patterns emerge. Therefore, there are patterns everywhere in nature. Evidence: The cycling of disease epidemics;the wax and wane of caribou populations; sun spot cycles; the rise and fall of the Nile. So, what about the stock market? The universe of numbers that represents the global economy. Millions of hands at work, billions of minds. A vast network, screaming with life. An organism. A natural organism. My hypothesis: Within the stock market, there is a pattern as well… Right in front of me… hiding behind the numbers. Always has been.”

If you could send it to me on my email; frenchsasha@gmail.com

i would be greatfull ðŸ™‚

Thanks for visiting! Here is a quick summary of past co-op jobs that I’ve had to date:

– Instructional Technology Support Assistant at Humber College (a teaching job)

– Pension Analyst at Morneau Shepell (pension and Excel VBA work)

– Enterprise Risk Management Analyst at TD (database work)

– [Current] Risk Modeling Analyst at TD (R&D, database, modeler work)

To comment on the difficulty of landing each job, I would say that because I had the right skill set and lacked skills in other areas at the time, each of these jobs were the most suited for me in their respective terms. In short, they were easy to land because they were relevant to my own skill set and I could talk quite a bit about that area of expertise.

As for advice, there are quite a lot of things that I could say about the FARM program, the math faculty, and co-op in general. However, I don’t want to dilute your understanding by offering information that you wouldn’t be interested in. Could you be a little more specific about what aspects that you would like me to talk about?

]]>I am interested to know what co-op positions have you had since your first year and if they were hard to land. I am applying for B. Math/FARM this September and any input and advice will be much appreciated

]]>Thanks for visiting! To answer your question, there are a few resources that I do know of, depending on your background. If you feel that you are fluent in the material and content in G12 Advanced Functions, check out Santos’ online book “Precalculus, An Honours Course” which can be found here:

http://faculty.utpa.edu/gkioulekase/OGS/Santos/santos-precalculus.pdf

If you’re feeling a little more bold about exploring more areas of mathematics, and have had a little taste of real mathematical rigour, check out the resources at this website (although a few links may be broken):

http://faculty.utpa.edu/gkioulekase/OGS/Santos/santos-precalculus.pdf

If you feel like you’re comfortable with all of the books above, check out the main page in the second link for even more material:

Finally, if there is a specific area in mathematics that you may be interested in, I would be more than willing to help point you to some introductory material.

]]>I am grade 12 student. I am taking advanced functions class. Do you have any advanced books to recommend?

]]>I will be interning at TD Bank in their risk modeling department starting on the 26th. To answer your question about how hard it is to get an internship, this will depend on the type of job that you would like to apply for and what your current skill set is. For example, it would be really difficult to land a marketing job if you have had no prior experience talking with client or doing presentations.

That being said, here is a simple procedure that I follow when looking for an internship:

1. First, write down what your dream job is, and don’t worry if it’s feasible or not.

2. Find 5-10 job postings that are closely related to the description you wrote down in step 1, and study their job descriptions. These should be the jobs that you should really want and believe that you have the qualifications for.

3. Tailor your resume closely to each of the above job descriptions and if you have the time, create custom resumes for each job. Make sure to include cover letters in these applications.

4. Next, find 15-20 jobs that you would find acceptable and send out your standard (not custom-made) resume for these. You shouldn’t waste your time making cover letters. These jobs should be slightly related to the one that you picked in step 2 so the preparations you made for interviews in step can carry over to these jobs.

Generally with this approach I get about 5-10 interviews back, but this varies with a person’s experience. As a bonus, here are a few general tips about the job hunting process:

– The number of years of experience is usually just a general guideline for recruiters. If you satisfy at least half of that amount and you want the job, you should think of applying.

– Remember that your resume is your “foot in the door” and the interview is where you’ll be assessed. Keep the content in your resume brief, but in such a way that the recruiter would want to know more about you.

– Designing your resume neatly and concisely will definitely make you stand out from the crowd; for a sample resume, check out mine here: http://sdrv.ms/151ElL3

– Study case interviews. In almost all of the interviews that I’ve been through, you will at least 1-2 cases (unless you are applying for a technical job in the computer science industry).

– Make a strong first impression. Many interviewers have often said they know whether or not they would hire someone within the first 30 seconds, so make sure you are confident – but not overconfident – going into the interview.

If there is anything else specifically that you want to know, I would be more than willing to answer your questions.

]]>If you really would like something to do with cryptography and numbers in general, try “An Introduction to Mathematical Thinking: Algebra and Number Systems” by Gilbert and Vanstone. You can probably find a copy at any large reference library. The content in there is pretty interesting and related to how mathematicians think about discrete numbers like integers. In terms of difficulty, a sharp high school student is more than able to read it and for reference, it was one of my first university textbooks.

If you’re up for real challenge to see what “rigourous” cryptography is about (away from Caesar ciphers and translation ciphers), check out “An Introduction to Mathematical Cryptography” by Hoffstein, Pipher, and Silverman. You can incidentally find an online copy here:

http://www.ic.unicamp.br/~rdahab/hddn/IMC.pdf

About the “phi functions”, I think your friend might be referring to the Euler-Totient function (http://en.wikipedia.org/wiki/Euler's_totient_function) which is used in RSA cryptography (what powers encryption across in the Interwebs). There are some interesting mathematical properties about this function but I can’t go into them because there may be notation that may not have learned just yet.

To answer your question about your EE topic, all three are good subject but it really depends on which of the three you that you think you could commit to for a year or so. Cryptography, in my opinion is the easiest to dive into at the high school level. Probability in gaming can be a bit of chore because the tools at your disposal in high school are fairly limited (although if you learned more about distributions and Bayesian probabilities there’s more to explore and discover). If you like reasoning about making combinations and permutations, it can be quite fun. The golden ratio essays are usually for students who love geometry and shapes. It’s both difficult and fun to see why many flowers like sunflowers and pine cones contain natural golden spirals and a fibonacci number of petals (hint: this is an optimization problem). You might even get into “fractals” (try googling it) going this route! In short, you should think hard about where your preferences lie and also how much time you have on hand to study your topic of choice.

If you need any more clarification about the above just ask.

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