Archive for the 'education' Category
Tags: daily, education, schedule, teaching, travelogue
For the month of July, my daily routine wasn’t that filled up. I still worked about 8 hours a day, but it was nothing to write home about. Now, for the month of August and probably for the rest of the year, I’ll be following this routine, which includes 35 hours/week of teaching, 10-15 hours/week on writing, 10-20 hours/week on my business, Asterisk*Cycles.
The trick in surviving grueling routines and long days are power naps as well as little pockets of goodness, which are easily wasted if you aren’t careful.
Tags: ARC, asia, graduate school, graduate studies, school, taiwan, travelogue
It’s good to be back at school. I missed most of last week because I was teaching 30 hours. I didn’t miss much³, but I felt terrible. In the future, I won’t want to miss any school at all. My classmates were actually worried about me, which was kind of nice.
I ran some errands.
Tags: Algebra, category theory, commutative diagram, couniversal object, integer, language, pronounciation, typography, unicode, universal object
One of the marks of being a good prof is when they see that students didn’t understand something and go over it again. My algebra prof has made a habit of this, especially when he goes over stuff in class too quickly. This happened last week and left me quite furious. Someone must have mentioned something to the prof², and he went over what we saw in the last hour again. This took an hour out of the three-hour class. I appreciated. I realized that there were some undergrads in our class, who weren’t familiar with some of the more abstract concepts of category theory³. It was an issue. Class was great today. I was drinking my strong milk tea and noting stuff down. We saw direct sums and (co)universal objects. Having proofs done with commutative diagrams is so elegant and simple.
Tags: Algebra, Analysis, azumaya algebra, bicycle, calculus, clifford algebra, cycling, differential manifold, graduate school, graduate studies, holomorphic analysis, mathematics, riemann surfaces, topology, velocite
Things got abstract very quickly in complex analysis. We are constructing differentiable manifolds in the complex plane, to see the topology of holomorphic domains. It blends together quite a few algebraic notions, as well as some beautiful topology, and it’s extremely interesting. The prof told us that this would fit neatly into a Riemann manifold or Riemann surfaces class.
Why is this so interesting? It explains exactly why derivatives and integrals actually work in the complex plane. Well, that’s not really true. It’s more than that. Applying calculus to complex functions is certainly richer than for real functions. We delve into the differential k-forms and their construction⁷. It’s quite elegant, I have to say. Some of my classmates were a bit dismayed by the abstract nature of this week’s lectures, but it had my full attention⁴.
I also noticed that we started using Berenstein & Gay’s book, Complex Variables¹. We’re about 5 weeks into the semester and we are on page 10 or so⁵. The level of difficulty in this class just went up a notch. Also, the level of complexity went up. That’s why they call it complex analysis!
Tags: Beyonce, category theory, diana argon, education, glee, graduate school, graduate studies, Halo, Hungerford, math, mathematics, NTNU, teaching, vitamine d
It seems to me quite logical on how math classes should proceed. The professor presents some theory, with theorems and their demonstration, as well as definitions and propositions, before venturing into a slew of examples. For some reason, this is completely absent from my classes in Taiwan. The examples. I don’t know what these profs are thinking, but examples are paramount for students to understand some of the theory. OK, my complex analysis prof is good. he gives examples and answers questions well¹.