José Urquiza and Finishing Early

Dr. José Urquiza is my numerical analysis teacher. I really love him. He’s such a contrast to Dr. André Fortin. He’s André’s polar opposite. Fortin was always rushing through class, rushing to give us all ofthe matter he could. José takes his time and is relaxed. He explains clearly and well.

Today, he took about 25 minutes to explain what we did wrong in a lab we completed last week. André had never done this. I really appreciated that.

We always have a break at 20 minutes past the hour. Ten minutes later, we start up again.

Oh, I’ve gone over a bit. Do you mind if we continue? No one has any appointments, I’ll finish class early today, he said with a smile.

For some reason, everyone in class was tired. It was Friday. There were 5 people missing out of a total of 17 students in the class. So José just continued. We all thougt that he would finish at noon or 12:10, instead of 12:20. Boy were we surprised.

Well, I’ll stop here for this week.

I was shocked. I didn’t know what to do. It was 11:30, we had finished a full 50 minutes before the end of the class. I started putting my pencils away. Geneviève had been rumaging through my pencil case and it was a mess. Thankfully, I got some grapes in exchange. No one really said a word. Everyone was quietly happy and we left.

Numerical Analysis Art

Here are the pieces that I worked on last night for about 45 minutes. It felt good to do this amidst the craziness of the end of term.

Continue reading “Numerical Analysis Art”

Wednesday End Of Term Four More To Go

I’ve been studying intensely for the last few days. I’ve been concentrating on Numerical Analysis, the class in which I had the most work. Things are progressing well.

Tomorrow I have two exams. One in Analysis I and one in Numerical Linear Algebra. I have finished my classes and I have part of the day off. I have to head to school for my 1:30PM Analysis I class to see what the prof has to say about the exam. So until then, I’ll study Analysis I.

I did a little bit of art yesterday to relax. I had some of my class notes binded since my original notebook was falling apart. I created a cover for them. I also covered my course book in a cover and spent some time drawing a cover image. I used a combination of watercolors and china ink. I’m uploading pics as we speak.

Monday End Of Term Four More To Go

Worked all day.

Taught four classes.

Was able to study for three hours.

I studied Numerical Analysis. I’m starting to get a good feel about the subject matter.

I have to go buy some  see-through post-it notes for my studying. I hate people who write in books. Books are meant to be kept pristine, especially school books. That’s true for all of my books.

I’m totally out of it. I went to bed at 2:30AM and got up at 6AM.

I did some paperblogging, but not the arty kind. I just wrote out a few posts on paper. Will posts those later this week, once the exams are done. I got about three original posts done today. I wrote another one last week. I’ll have to type them up at some point. Saturday or Friday. After my finals.

Matlab On Ubuntu

I freaking hate that the Windows shortcuts aren’t emulated in Linux. WTF. It’s like a reflex to use them in Linux. I’m always surprised when I save a file with CTRL+S it doesn’t save. CTRL+X, CTRL+V don’t work either. WTF.

I must have wasted 10 minutes on shit like that this afternoon while I was programming some numerical integrals with the Simpson 1/3 method. This method is of the 4th [O(h^4)] order. We used a Richardson Extrapolation to gain two more magnitudes of order. Time matters when you are doing a 45 minute lab and that at the end of the lab, you have to hand in your programs.

We spent another 20-25 minutes trying to figure out what the problem was with our program. We had some syntax errors. The if statement had the semi-colon at the wrong place. Otherwise, I would have finished this lab in about 20 minutes flat.

My partner was sick, so I was stuck doing most of it myself. He was in class, but his frequent trips to the bathroom weren’t helping him do any coding.

Mathematics And Photos And Pens

It’s taken me a little while to upload my latest photos from this week, sorry about that. It’s the end of the semester, and I’m busy with school. I’m feeling pretty good about myself. I’ve done a lot in these last few days and I feel that my mathematical intuition has returned almost in its entirety.

In Analysis I, I’ve worked hard and spent a lot of time on problem sets. Since we’ve started with the study of mathematical series, I’m confident that I’ll do well in the last exam. I think that I’m maintaining a B+ average this semester. It’s not fantastic, but it’s a lot better than when I was in school the last time.

Also, I’ve had to reconsider my note taking system. I bought two 300 page spiral notebooks for my four courses at the university. The system isn’t working out. My notebooks are disintegrating. I’ve bought a compact accordion folder with 13 subjects. I’ve started taking notes on ruled sheets of paper instead. It makes things more compact and ergonomic.

At the same time, I’ve bought a Blueline A91 Lab notes book. It’s got 200 pages and has a solid binding. I’m using this as my research notebook, noting interesting things in mathematics. I’ve started out by writing review sheets for my Linear Numerical Algebra class. I plan on working with one of the professors on a little project during the summer.

It’s taken me a while to find the right writing pens. I’ve settled on a Staedtler triplus fineliner for the moment. I’ve used a set to write for most of the semester, but find that the tip recesses after a while due to my writing. The tip isn’t rigid enough. I bought a Pilot V10 Grip and was disappointed with it. Since I find that felt tip pens write a lot better, I’ll get a few Pilot V Razor Point Marker Pens next week. They should to the trick.

Naturally, I’m not using my drawing pens to write. That would be a waste. When I was in the campus store at the visual arts faculty, I was a bit confused by the choices that I had. There were a lot of pens to choose from.


Function sin cos tan csc sec cot
sinθ =  \sin \theta\  \sqrt{1 - \cos^2\theta}  \frac{\tan\theta}{\sqrt{1 + \tan^2\theta}}  \frac{1}{\csc \theta}  \frac{\sqrt{\sec^2 \theta - 1}}{\sec \theta}  \frac{1}{\sqrt{1+\cot^2\theta}}
cosθ =  \sqrt{1 - \sin^2\theta}  \cos \theta\  \frac{1}{\sqrt{1 + \tan^2 \theta}}  \frac{\sqrt{\csc^2\theta - 1}}{\csc \theta}  \frac{1}{\sec \theta}  \frac{\cot \theta}{\sqrt{1 + \cot^2 \theta}}
tanθ =  \frac{\sin\theta}{\sqrt{1 - \sin^2\theta}}  \frac{\sqrt{1 - \cos^2\theta}}{\cos \theta}  \tan \theta\  \frac{1}{\sqrt{\csc^2\theta - 1}}  \sqrt{\sec^2\theta - 1}  \frac{1}{\cot \theta}
cscθ =  {1 \over \sin \theta}  {1 \over \sqrt{1 - \cos^2 \theta}}  {\sqrt{1 + \tan^2\theta} \over \tan \theta}  \csc \theta\  {\sec \theta \over \sqrt{\sec^2\theta - 1}}  \sqrt{1 + \cot^2 \theta}
secθ =  {1 \over \sqrt{1 - \sin^2\theta}}  {1 \over \cos \theta}  \sqrt{1 + \tan^2\theta}  {\csc\theta \over \sqrt{\csc^2\theta - 1}} \sec\theta\  {\sqrt{1 + \cot^2\theta} \over \cot \theta}
cotθ =  {\sqrt{1 - \sin^2\theta} \over \sin \theta}  {\cos \theta \over \sqrt{1 - \cos^2\theta}}  {1 \over \tan\theta}  \sqrt{\csc^2\theta - 1}  {1 \over \sqrt{\sec^2\theta - 1}}  \cot\theta\

I’m busy studying for a midterm tomorrow morning. It’s a Teaching College Level Mathematics class. The teacher is interesting and younger than I am. He obtained his Masters a year or two ago. My program director suggested that I take this class to ease myself back into mathematics.

After the exam, I’ve got a numerical analysis laboratory. I start the midterm break afterwards. However, it’s going to be a busy time. Coming back from the break, I’ll have three more midterms within two weeks, three homework to give in (big ones involving a lot of coding).

I’m really enjoying the time here. I’ve really gotten into mathematics again. I’ve got a lot to do in numerical analysis and numerical linear algebra. Both classes involve coding in MATLAB.

My teaching hours are most probably going be at around 14 starting next week. That’s almost as much as I wanted. It’s been rough, but I managed to get by. Next semester, I want the least amount of distractions while I study.