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Nov042025

The end of an era

I plan to wind down this site when my current plan with Dreamhost ends in the middle of the year. It’s been a really interesting journey:

– Creating pdf solutions with LaTeX and uploading them to my free wordpress site
– Getting my first paid hosting, first at mathelement.com (no longer in use) and now at adotb.xyz
– My first attempts at web programming are the hacky “randomly generated questions”. Looking back I marvel at how it managed to work with the amount of trial and error it must have taken to modify the MathJax demo code into a wordpress environment and with my non-existence knowledge of the web platform, DOM and all
– Even after working on more modern JavaScript frameworks the simplicity of the file upload in the wordpress ecosystem is still something I occasionally rely

I’m not sure if I will retain/transfer the domain (it will be a nice place to move 3d-vectors.vercel.app to, but I think unifying everything under the Mathlify name may be better?). And with these last dying embers I invite you to check on my latest work. Hopefully I’d get around to it, but my current main work on math-repo.vercel.app and math-pro.vercel.app will eventually be moved to my main domain mathlify.com

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Jun142020

Behind the curtain

A brief glimpse “behind the curtain”: the setup I use during zoom video classes!

The lockdown/circuit breaker sure has brought its shares of challenges in teaching and learning. Lessons are certainly slightly less effective without the physical interactive component: I can’t just look over students’ shoulder and check on their progress, and it’s definitely been harder to gauge how my explanations are faring without the feedback from non-verbal cues. Not to mention the occasional lag and technical difficulties.

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May082020

Still climbing onto the shoulders of giants

It was year 2005/2006: I was taking further maths in JC under Mr Wee when he showed some video clips about linear algebra (what we were learning about at that time) to us during lecture. In addition to the math content I also remembered how he told us about this initiative by MIT, the OpenCourseWare, where some course content (including video lectures) from the university were being uploaded and made available for free to the public. Thinking back, this was pretty remarkable (youtube was still in its infancy). I recall at that time, finding the experience pretty interesting (MIT is nerd heaven after all, so there’s the brand name recognition. Plus the video lecture was challenging but engaging: something I’d sure hope to experience when I get to university), but that’s about it. After all, who has time during JC do much more on top of academic and social life!

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Apr082020

Q9b discussion

The integration part

We have $\displaystyle \int \frac{1}{(1-x^2)(1+x^2)} \; \mathrm{d}x = t + C$. Since the denominator is so complicated, partial fractions is the way to go.
$$ \frac{1}{(1-x)(1+x)(1+x^2)} = \frac{A}{1-x} + \frac{B}{1+x} + \frac{Cx+D}{1+x^2}.$$
Give it a go!

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