What Doing My First (Short) Math Lecture Taught Me

For context, these are some things I learned in the process of putting together and delivering a guest lecture to a first-year discrete math course last summer. The talk was about the research I was doing at the time, and I was allotted about half an hour for the presentation. Again, I meant to write and post this last year, but clearly that didn’t happen.
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Lessons I Learned During My Undergraduate Research Internship

I really meant to put this list up sometime last fall… whoops. (This is yet another incredibly overdue article.) Anyway, here are a whole bunch of things I learned while attempting to “do research” last summer, whatever that means. The big theme here is to make life easier for future you, who will have to wrangle together your several months of chaos and exploration into a rigorous and coherent narrative. Present you can help by being organized and breaking things down into smaller, documentable steps.
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You Need to Be Proactive

One of the things that has been repeatedly drilled into me over the past year or so is the fact that if you want people to do things for you, you’re most likely going to have to harass them. (I don’t mean literal harassment, by the way – please don’t commit a criminal offense and say I encouraged you.) This is true especially when working with highly busy people like managers and professors. If you want something, you can’t just assume they’ll intuit that and give it to you – you have to ask (and assume they’ll forget, then ask them again). If you need them to do something for you, you’ll need to remind them, and inform them of the deadline, likely multiple times. Everyone has their own problems to worry about and the thing you need might not be top of mind. The burden of remembering is on you.

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Some Things I Learned From Writing My First Research Report

Last summer, I was tasked with writing a report about the research I completed and submitting it to my supervisor by the end of the summer. I, of course, had never done this kind of writing before, so I learned several lessons. The hard way. The learning process was super painful, but it did come in handy when I had to write two other research reports in my classes last fall. Here are a few of the lessons I learned.

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Research Opportunities for Computer Science Students at Carleton University

This information is accurate as of Feb 9th, 2025.

What is research?

The goal of academic research is to add to the body of knowledge within a field. Generally speaking, research either aims to understand (e.g. “Are there biases in the outputs produced by large language models?) or to create (e.g. “Here is a new protocol for sending messages across the internet”). Depending on the specific field, this could involve running experiments or simulations, designing algorithms or processes, interviewing or observing participants in a study, and so on. There is also generally an expectation that the results be communicated in some way. Most commonly, this is done through a written report, a poster, or a presentation.

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