This is under construction, but I wanted to post a couple of my materials from MAT135 Differential Calculus.
Continue reading University Calculus MaterialsTag: Calculus
Succeeding in First-Year Calculus: My guides to MAT135 and MAT137
Last year I wrote a guide for students taking the University of Toronto’s big (2000 student) first year calculus class MAT135. It was so successful that I wrote another guide to MAT137, the more specialized first year calculus class. Let me share them with you:
They are both links to Reddit, but you don’t need an account there to read them.
Continue reading Succeeding in First-Year Calculus: My guides to MAT135 and MAT137
Delta-Epsilon Magic
2022 update: I’ve added a couple of sentences about the context of this event to emphasize how positive this experience was.
In my second year of undergrad I had a formative experience with Delta-Epsilon proofs that stuck with me for a long time. Last week I was able to provide a similar experience for some first year calculus students.
How to Read, Understand and Study Proofs
(This talk was given on March 31, 2014, at the University of Toronto to a class of mostly MAT 137 students. It was standing room only!)
In my first year of undergrad I was bad at proofs. In my second year of undergrad I was terrible at proofs. In my third year I was okay at proofs, but I was terrible at studying proofs.
The way I used to learn proofs was by memorizing the words in the textbook’s proof, word by word, with almost no understanding. I knew math, and I was fairly good at problems, but I just couldn’t get any purchase when it came to learning proofs.
Eventually I started to pick up various “tricks” and strategies for learning proofs. This talk is aimed at me in first year, and what I needed to hear so that I could have studied proofs better. (“I no proof good.”)
We’ll look at the basics of proof reading, the idea of definition unwinding and clever ideas, and finally we’ll present a general method for reading proofs.
Mike Pawliuk - Mathematics 