I’ve started studying daily using Anki Flash Cards to revise. Every day I add at least one card to my study deck. Every day the study deck gets more valuable to me.
Today I discovered the sheer awesomeness that is Emacs with EIN. This lets my Emacs environment to to Jupyter Notebooks. Through it, I have the power of Emacs Python completion and editing while writing iPython functions. It works really well! I can display matplotlib graphs inline in my Emacs buffer. There is even symbolic computation via the sympy package! Bliss!
Today I was thinking about creating a mathematical model to represent my own personal “Klout” score. Instead of providing a measure of social influence, it would actually be a day-to-day score of how social I had been. Lately I have been quite reclusive. Other than Helen, I haven’t had much contact with people. I have also been a lurker on social media, such as Twitter and Facebook. In order to encourage more social interaction, my score would keep track of how many interactions I have. Whether the people I interact with are new people to me, or whether they are friends. If I construct the model properly and use it on a daily basis with an aim to improving my score, it should get me out of this reclusive rut I am currently in.
I have been studying continuously for many years now. I am still refining my studying technique though. One of the things that I am being forced to do with the maths I am doing at the moment, is to read and re-read the course materials over and over again. My workflow at the moment is:
- Skim the chapter. Scan the headings and sub-headings and try to build up the outline in my head.
- Skim through the problems within the chapter.
- Speed read the chapter. Get more of an idea of what is going on.
- Read through the problems and the answers.
- Read the chapter more thoroughly. Try and get a good understanding.
- Work through the problems.
- Repeat 5 and 6 until either clarity or the exam arrives!
I just found Ram Murty’s short course on YouTube – Introduction to Analytic Number Theory. So good! I am studying Apostol’s book “Introduction to Number Theory” at the moment, and it is fantastic to get an insight into the subject from someone so brilliant! I ordered Murty’s book “Problems in Analytic Number Theory” after watching the first lecture.
Today has been a day of Analytic Number Theory study. I have a couple of assignments due next week on the Calculus of Variation and Analytic Number Theory. I’m a bit behind in my study plan, but that is nothing new. I found some excellent YouTube videos on various topics that I am working on – it really is an amazing resource!
I read a really interesting post on Reddit explaining Markov Chain Monte Carlo, which drew the analogy between MCMC and a long game of Frogger.
I’ve been studying for another Maths exam. This time it’s the Open University M343 “Applications of Probability” course. It’s exam time so I’ve been making flash-cards to study with.
OK, here is an idea I had this morning: It’s called “Mnemonic Tagging”. The idea is that you create a list of keywords (or tags) that you use to mentally file mnemonic visualizations. For each of these tags you imagine something that represents the tag, followed by a chain of mnemonics that relate to that tag.
I have been studying maths for quite a few years now, but I still find it a struggle to remember various formulas/equations, especially when starting a new topic. I’ve been thinking about developing my own mnemonic system for math symbols to help me memorize equations easily.
I would need to relate various mathematical operators to something else that is easy to visualize. The bracketing of expressions is problematic, you would need to have a way of visualizing a collection of things that the operator acts on.
I think that having a mnemonic system for maths would help internalize the ideas and models within a domain. It’s obviously still a work in progress!