Showing posts with label Budapest Semesters in Mathematics. Show all posts
Showing posts with label Budapest Semesters in Mathematics. Show all posts

Sunday, January 17, 2016

The Joy of the Joint Meetings

The Joint Mathematics Meetings are a large annual math conference, so named because they are the joint annual meeting of the Mathematical Association of America and the American Mathematical Society (and have significant participation from several other societies/associations). This year was my eighth JMM, and I love them every year. JMM was last week, and some of my friends expressed confusion at my great enthusiasm for the meetings, so I thought I'd try to explain a bit.

Friday, October 30, 2015

To an Oliner Considering E:Math

My major is not technically Engineering with a Concentration in Math, as often as people may think it is. I'm a mechanical engineer. However, I'm one of only two upperclass Oliners who are E:Math-ish (the other is an electrical & computer engineer), so at the moment I'm one of the best people to give advice about designing a math major. One of the sophomores asked me about being E:Math recently, and this is approximately what I told him.

Tuesday, May 26, 2015

Thoughts on Mechanics of Solids and Structures and Math Activities

My fourth class this past semester was Mechanics of Solids and Structures, or MechSolids, which is a mechE requirement. I also did a lot of math related activities. Compared to last semester, I didn't feel like I did very much math this semester, but what I did do was pretty varied.

Saturday, January 24, 2015

Spectral Theory

I've already written a fair bit about Inquiry Based Spectral Theory already, but it still deserves a post of its own. It's definitely the BSM class I'll miss the most.

Friday, January 23, 2015

Combinatorics and Topology

Extremal Combinatorics and Topology were my math classes at BSM that had the most fun homework and were generally the lowest stress. Here's a bit more about each:

Monday, January 5, 2015

Analysis and Algebra

Going into BSM, I knew I wanted to take at least one analysis class and at least one algebra class. My analysis ended up being Complex Analysis, and my algebra was Galois Theory. Here are my thoughts on each:

Wednesday, December 17, 2014

After a Million Miles or So

I'm going to write more detailed posts reflecting on this semester, but here are some more general thoughts on how I ended up here and about going back home.

Why I keep going abroad:

Yes, I keep leaving the United States. I've spent 8.5 out of the last 18.5 months abroad. I knew I wanted to study away for a semester, but I hadn't planned to spend so much time overseas. The Critical Language Scholarship Program was something I found out about during fall of first year and latched onto; it wasn't how I had imagined spending my first summer. Last year, I applied for some mechanical engineering internships and was considering talking to Olin professors about doing research at Olin over the summer when I found out about SERIUS, and less than a week after hearing about the program, I was for sure going to Singapore to do research.

Budapest Semesters in Mathematics (BSM) was the one that was actually planned. Like I said, when I started at Olin I knew I wanted to go abroad, and I was considering BSM, but I was also thinking about programs where I could study in French or Spanish or German. By mid-fall of sophomore year, though, I was pretty set on BSM (more on that below).

Some of my family and friends love to travel, and while I enjoy traveling, it's not something I love. What I've found that I love is living in a place, the process of somewhere new becoming familiar and home. I love the way that dépaysement, the disorientation and breaking of habits by being in a new place or situation, gives way to surprising comfort. I love being a regular at my favorite restaurants, cafes, and bakeries, having church family in four congregations in three countries, and learning cities well enough to give directions when just a few months before, I got a little lost nearly every time I left my apartment.

I love being nearly 9,000 kilometers from my house and yet still feeling like I'm home.

Why I came to BSM:

This is in many ways more complicated than any other reflection I've written here because the why is so different. This wasn't as simple as 'I have to take these classes' or 'It meets a requirement and seems interesting.' I needed to take six more credits of math, but I could have taken a couple of math classes at Olin or Wellesley to do that. So why BSM?

Tuesday, December 2, 2014

If I Were At Expo

Rebecca Christianson, the Olin prof who organizes Expo at the end of every semester, sent out the email for Expo sign-ups today. Expo is the "end-of-semester celebration of student work," and all on-campus Oliners are required to present something each semester. I'm going to be in Budapest, not at Olin, so I'm not participating, but it made me think about what I would do for Expo were I somehow to be at Olin on December 19th.

A lot of Olin's classes lead to Expo-presentable work because they're project based, and many classes that aren't project based for most of the semester have final projects that are Expo-able. It's a little weird that I've only presented project work at one Expo. In fall 2012 I presented my last ModSim project, in spring and fall 2013 I used my graph theory research for Expo, and last spring I talked about my Passionate Pursuit. For the past three semesters, I've talked about either math or ballet.

So it shouldn't be surprising that if I had to come up with something for Expo this semester, it would probably concern math or ballet.

It's a little tricky, though, because my classes this semester have been very different from Olin classes. There are no projects. Even in Spectral Theory, my most Olin-ish class, nothing I'm doing is original. I'm very proud of the work I've done here, and I've worked harder than I generally work in a semester at Olin, but it's all proving known statements or solving problems with known answers because that's how one learns mathematics. There are lots of things I've proven or seen proven that I think are really cool, and I've considered trying to use a few of them for Midnight Mathematicians talks in the future, but giving that kind of presentation isn't really in the spirit of Expo.

That brings me to ballet. I've seen a lot of ballet here, more in a single semester than I usually see in a year. In Bratislava and Prague I saw two very unusual productions of Romeo and Juliet, and I could easily compare them to each other and to more standard choreographies. I also saw unusual versions of Carmen and Coppelia, so instead of focusing on R&J I could talk about new choreographies of traditional ballets, or I could add in La Sylphide and Merry Widow and explore the structure of story ballets from different time periods.

I think it's a little weird, though not necessarily surprising, that one of the ways I chose to spend my free time would yield at least three potential Expo projects, whereas the hundreds of hours of mathematics I've done wouldn't translate into anything appropriate for Expo. Expo works as a requirement at Olin because of the nature of Olin. BSM is very different, and trying to do Expo this semester with an Olin mindset would be difficult because of that difference.

Friday, November 21, 2014

These Are A Few of My Favorite Things

I planned on listing a few of my favorite things in Budapest. The list I ended up writing is a little longer than "a few."

Saturday, November 8, 2014

Midterm Season and Spectral Theory

I'm done with midterms! Galois Theory and Extremal Combinatorics were some of the last classes to have exams; those midterms were on Tuesday. The Complex Analysis test was last Wednesday, and the Topology exam was the Wednesday before that. I've gotten my tests back in all my classes except Extremal Combinatorics, and overall everything went pretty well! While studying, though, I realized that it had been a while since I'd taken normal tests.

In my first two years at Olin, I took sixteen classes and only six exams. If I stretch my definition of exam, that maybe goes up to ten, but one was really a long, cumulative problem set in Transport Phenomena, and the other three were Biology quizzes, which each took a full class period to complete but all together accounted for only 20% of my course grade. Of the six "real" exams, two were self-graded based on effort (Physics of Waves and Bayesian Stats), and three were take home, open book, and open note tests in Dynamics. The last was an in class essay exam for Soviet History.

My exams for Topology, Complex, Galois, and Extremal were all in-class tests, so we had about 105 minutes to complete them. The first three were closed book; for Extremal we were allowed to use our class notes. All four of those classes will have final exams in December. Spectral Theory is exam-less, since it's based around us presenting our work to each other, and Hungarian will just have a final exam.

Thursday, November 6, 2014

Prague Photos

I went to Prague this past weekend!

I wasn't there for particularly long; I arrived by bus after dark on Friday evening and then left at about sunrise on Sunday morning, so I really just had Saturday to spend in the city. But I walked around a lot, so here are some pictures!

Okay, this is actually Hungary, near the border with Slovakia. It was really pretty on Friday!
Municipal House
Powder Tower

Friday, October 24, 2014

Snapshots

A couple of weekends ago, Hannah, Philippe, and I went to the Kürtőskalács Festival. Kürtőskalács are chimney cakes, dough baked in a helix around a spit. The festival was held in City Park, so Hannah and I agreed to meet by the 1956 revolution monument at one side of the park. 

Evidently I'm really bad at picking meeting points because it happened to be the day of the Budapest Marathon, and the finish line was right in front of the monument. Oops.


The Chimney Cake Festival mostly consists of a lot of booths selling different varieties of chimney cakes. There's not much to do other than wait in line, get food, and eat, so the lines were very long. The chimney cakes were delicious and definitely worth it, though.


Hannah, Philippe, and I with our mini chimney cakes.
This was the regular (vanilla/sugar) one; I also got one with cinnamon. Note that this is about half the length of a normal chimney cake, and the diameter is smaller than normal, too.

Wednesday, October 8, 2014

Bratislava!

I spent this weekend in Bratislava, Slovakia! The center of Bratislava isn't very big, so it's a good city for a short weekend trip. On Friday evening after I arrived by train, I walked around the city a bit and went to St. Martin's Cathedral. On Saturday I did a walking tour of the city, went up to Bratislava Castle, and saw a ballet!

Exploring
Bratislava's Old Town and historical center is pretty small; most of it was destroyed under the communist government in the 60s and 70s. One of the things that was built where the rest of Old Town used to be was a highway with this bridge:
They call it the UFO bridge. Because, well... what else would you call it?
I walked around on my own on Friday, and the main place I went was St. Martin's Cathedral (Dom).
The back of St. Martin's Cathedral
The altar!

Saturday, September 20, 2014

Ballet and Street Food

Today was my first experience with ballet in central Europe! I went to a matinee at the Opera House to see the Hungarian National Ballet perform Troy Game and La Sylphide. There was also a big festival today on the same street as the Opera House!

The Opera House
The Operaház is gorgeous, and I was sitting in a box. In the theater at home, all the boxes are on the sides, so I think they don't tend to be terribly good seats, but the boxes here go all the way around the circle, and I was near the center.
The Opera House! The screen outside was for a festival going on today.
Inside the theater
Some of the boxes on the Dress Circle level

Friday, September 19, 2014

Non-Mathy Fun!

I've spent a lot of time in class over the first two weeks of school, but there's still been a lot going on outside of class! Here are some non-academic highlights from the past couple of weeks.

Welcome Party
At the end of the first day of classes, there was a BSM welcome party! Lots of the professors and almost all of the students came. This was when I met a lot of the people who had arrived at the end of the last week. I also talked to a couple of professors. The most important thing I had to do was meet with Miklos Abert, the Inquiry Based Spectral Theory professor, and the other students interested in taking the course in order to schedule it. (Scheduling that class is a problem we're still working on...) I also ate a lot of what I think are sajtos pogácsa, a cheesy bread puff.

Supper at Hannah's
Vivienne, a student from Texas whom I met at the welcome party, and I had supper at Hannah's one night last week. Our plans for who would bring what food didn't end up working super well for various reasons, so we had to throw together supper from what Grace had. The final result was pasta with Hungarian white peppers (which are fantastic), peas, spinach, and "pesto" (olive oil and basil), along with some really good garlic bread. It turned out pretty well! Cooking and talking with Vivienne and Hannah for a few hours was a lot of fun!

Evensong
Last weekend the Anglican-Lutheran Society had a conference at Lake Balaton, so the night before the conference started, a Budapest Lutheran church and the Anglican church I've been attending hosted an Evensong service. I'd never been to Evensong before, and I really enjoyed the service. It was almost entirely sung, mostly by the Gabrieli Choir, which specializes in Anglican sacred music. There were a couple of hymns as well, and while I didn't know either one, they were both very singable. One was very fitting for an evening prayer service, and the other was about unity, which made sense in the context of the conference.

Friday, September 12, 2014

Graphs, Open Sets, and Vector Spaces: The First Week of Class

This was my first week of classes at Budapest Semesters in Math!

The first three weeks are a shopping period, which means I could attend as many classes as I wanted in order to decide which four or five to take. Registration will happen during the third week. While math classes started this week, most of the humanities courses don't start until next week, so the past few days were all math for me. I attended seven classes this week: Spectral Theory, Extremal Combinatorics, Complex Analysis, Topology, Galois Theory, Functional Analysis, and Real Functions and Measures. Here are descriptions and my thoughts on each!

Sunday, September 7, 2014

Last Week of Summer

Tomorrow is the first day of classes, and I'm very excited! This week, students who weren't here for the language course arrived, the language course ended, and in general things were pretty relaxed. Here are some highlights:

1. Potluck brunch with nine other BSMers at Hannah's apartment today. Hannah is a BSM student who has an apartment to herself about ten minutes from where I live, and she was at a summer program this year with one of my roommates, Sandrine. Everyone brought something, so we ended up with eggs, muffins, multiple kinds of pancakes, fruit salad, nutella, and some other snacks. I think we were all there for about three hours, and it was a lot of fun!

2. Dinner cruise on the Danube on Tuesday. BSM shares a building with McDaniel College, and their convocation was Tuesday and included this dinner cruise. BSMers were invited, and while the convocation was a little awkward, getting to go on the boat was really cool. The food was good, I got to meet a few of the people who hadn't come for the language school, and the views of both sides of the city were excellent. Here are some photos:







3. Supper on Friday night. The game theory professor had planned an event that would involve going to John von Neumann's birthplace and then going to a restaurant with traditional Hungarian food. We never did find the plaque about von Neumann, but we did talk about his work in several different fields. I really enjoyed the restaurant; the food was excellent, and I sat and talked with Hannah and Sandrine as well as Lilian, who had arrived that day. There were several others who had just arrived, so meeting them was exciting!

4. The schedule for the first few weeks came out on Friday! We had all had to fill out a pre-registration survey about which classes we were intending to take, and based on that BSM put together a schedule. We have a shopping period, so for the first three weeks we can take as many classes as we'd like, and then we'll register for classes during the third week. During this next week, I'll definitely be going to Inquiry Based Spectral Theory, Extremal Combinatorics, Galois Theory, Functional Analysis, and Complex Functions. I might shop one or two other classes, but I'm not sure. Humanities courses don't start this week, but once they do, I'm planning on taking Intermediate Hungarian Language and Hungarian Art & Culture.

Thursday, September 4, 2014

Magyaróra! (Hungarian Language School)

Today was the last day of intensive Hungarian language school,. It was advertised as being 80 hours, but that seems to include a lot of the break time. I think we had more like 60 class hours.

There were about 40 BSM students who arrived early to take the language class, and they split us into three groups. I was in a class of 11 students, and over the course of three weeks we had three different teachers. The first week we had one teacher, who was fantastic. I thought class was a little slow, but it felt organized, and we did a variety of activities, learned a lot of songs, and spent time practicing pronunciation. The last two weeks of the class, we kept going back and forth somewhat unpredictably between two teachers who didn't seem to communicate with each other as much as would have been optimal, and the course didn't feel well-organized anymore.

The style of the course was pretty similar to that of the Azerbaijani courses I took last summer. The language school has its own textbook, and in Azerbaijan one of my teachers had written the text we used. The textbook was almost entirely in Hungarian; new vocab was mostly illustrated with pictures instead of translations. A lot of the exercises were drill-like, and later on in the course we spent a lot of time doing role-plays based off of learned dialogues. The biggest difference between this class and my Azerbaijani classes was that this wasn't an immersion experience at all. The teachers almost always spoke English to us.

For the last day, we didn't really have class. In the morning, we took a test and filled out feedback forms, and then each group wrote and practiced a play. We performed the plays for each other after lunch. All three groups chose to write plays based on the continuing story in our textbook, which was about an American student named Kevin, his Hungarian friend Peter, and Peter's sister Csilla. The story was told mostly through dialogues at the end of each unit, and we were always excited to read the next dialogue. The story was much better than similar ones in other textbooks I've used.

Wednesday, August 27, 2014

A Week and a Half in Budapest!

Sziasztok!

I've been in Budapest for about a week and a half now. Math classes don't start until September 8th, but I'm here early to take an intensive language course. About half of this semester's Budapest Semesters in Math students are already here, including both of my roommates. I live in District VII, so I'm within walking distance of most things in Pest in addition to being near a couple of metro stations and several bus and trolley lines.

St. Stephen's Day
August 20th was St. Stephen's Day, which is a national holiday. I went out for the afternoon with a group of BSMers. We ate street food (lángos and ice cream) near Deák Tér, then walked over to Parliament. We didn't go inside, but we watched the changing of the guard at the flag and the a short ceremony on the building steps. After going over to the Buda side, we walked a bit until we ended up at Matthias Church and the Fisherman's Bastion, where we watched part of another ceremony and listened to music. Then we went to Clark Adam Tér and listened to more music!

Parliament!
The Parliament decorated for St. Stephen's Day
Going back into Parliament after a ceremony.
Matthias Church by the castle in Buda.

Celebration outside Matthias Church

Concert in Clark Adam Ter
Food Adventures
I feel like I've been going to the store every other day! There are lots of small convenience-ish stores that sell fresh produce as well as markets and chain grocery stores, so I go to different places for different foods. The apartment came with an odd assortment of kitchen utensils, and using the oven takes a bit of guesswork, so cooking can be a bit of an experiment. So far I've made pesto chicken, lots of pasta, scrambled eggs, cinnamon toast, and pancakes.

The produce here is fantastic, and that also means there's good fruit juice and jam. So far I've had apricot, peach, and cherry-plum-apple juices and strawberry and apricot jams.

There are a lot of restaurants, especially bakeries and gyro stands, near the language school. My favorite lunch place so far is a sausage restaurant. The school is also next door to Fragola, one of many wonderful gelato places in Budapest.

Exploring Budapest
I've walked around Pest a lot, especially in Districts VII and V. I walk to language school most days, though there's a tram that would cut about ten minutes off the trip. I like seeing the city, and the weather has been good for walking.
The Anglican church I've attended for the past two Sundays is in District VII, so I can easily walk from my apartment.
I live near Városliget, or City Park. For the first few days that I was here, my grandsibb Marguerite was also here for Sziget Festival, so we met up a couple of times, and once we walked around the park. It's huge; we spent more than an hour making a circuit that only went around about half of the park. The zoo is also part of Városliget, and inside the zoo is Hungary's one roller coaster, Hullámvasút.

Hungary's one roller coaster is a 92-year-old woodie. It's lots of fun. I heard a little girl get off behind me and tell her parents, "Nagyon jol! Nagyon jol!" (Very good! Very good!), and I agree.
Last Sunday, I went on a free walking tour of Budapest that focused on Hungary under communism and what has and hasn't changed in the past 25 years. It was really interesting to think about the similarities and differences to Soviet and post-Soviet Azerbaijan.
Picture of everyone on the Communism Tour in front of the one remaining Soviet monument in the city center.
Photo by Free Walking Tours Budapest.

Language Class
I've only had six days of language class (about thirty hours in the classroom), but it feels like a lot more. Hungarian isn't related to any other language I've learned, but structurally it has a lot in common with Azerbaijani, which has been helpful in picking up grammar. I go back and forth between feeling like I can still barely communicate anything and being surprised at how many words I recognize when I walk around. At the zoo, I spent a lot of time looking at signs, and even though I couldn't read most of them, I could pick out a lot of words and reason out a few others, which was exciting!