## My Moscow State University Transcripts

I used to be proud of my Russian math education. I am still proud of my high school one, but not so much of the one I received in college. In Soviet Russia, a student had to choose their major before applying to college. I wanted to study mathematics, and I got accepted to the best place for it in Soviet Russia: mekhmat — the math school at the Moscow State University. I used to be proud of my education there, but now I have my doubts.

I had to take, on average, four math classes per semester for five years, which totals about 40 math classes. Woo hoo! I don’t think American students could even choose to take that many. This was presumably good, but most of the courses were required, and their curriculum remained unchanged for many, many years. Obviously, the system was very rigid. The faculty members feared retaliation from the communist party and forgot how to take initiative. The bureaucracy prevented the department from adding new and exciting math to the outdated curriculum.

This post is not about my grades but about the actual subjects that we were taught then. But, in case anyone is wondering, my only B was in English; everything else was straight As.

Some of the classes listed below lasted two or more semesters, that’s why they do not sum up to the promised 40. Unfortunately, I do not remember which ones. These were the required math classes:

- Analysis
- Analytical Geometry
- Advanced Algebra
- Theoretical Mechanics
- Linear Algebra and Geometry
- Differential Equations
- Partial Differential Equations
- Functions of Complex Variables
- Probability and Statistics
- Differential Geometry and Topology
- Numerical Methods
- Introduction to Mathematical Logic
- Control Theory
- Analysis III
- Computer Science and Programming
- Programming Practice
- Physics
- History and Methodology of Mathematics
- Thesis Work

An impressive list? But guess what — I remember nothing from most of these classes. As an exception, I remember bits of Differential Equations, taught by Vladimir Arnold, a charismatic teacher. I remember Linear Algebra well, not because of my Linear Algebra class, but because I read Gelfand’s book on the subject and loved it. I remember that the Differential Geometry and Topology class was taught by Fomenko with great pictures and boring material. By the time I took Fomenko’s class, I already knew topology from an unofficial class taught by Dmitry Fuchs, which was so much better. In fact, in order to learn what I wanted, I had to take many classes unofficially, so my total is actually way above 40.

By junior year, we were finally allowed to choose some classes which would count towards our transcripts, and this is what I picked.

- Infinite-Dimensional Representations of Lie Groups
- Theory of Functions of Many Complex Variables
- Representations of Lie Groups
- Discrete Mathematics

I remember these classes much more vividly. I also wrote a graduate thesis: “Models of Representations of Generalized Clifford Algebras.” I loved working on that paper.

We had non-math classes too: everyone had to take them.

- History of the Communist Party of the USSR
- Philosophy of Marxism-Leninism
- Political Economy
- Scientific Communism
- Foundations of Scientific Atheism
- Soviet Law
- Foreign Language (English)
- Physical Education
- Foundations of Marx-Lenin’s Aesthetics

To graduate, everyone had to pass two state exams: Mathematics and Scientific Communism. Whatever the latter might mean.

Did I mention that I am no longer proud of my former Soviet college education? What a colossal waste of time!

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## Steven:

I’m sure that’s spelt “Fuchs”…

3 February 2022, 12:38 pm## tanyakh:

Thanks, Steven, I fixed it.

3 February 2022, 12:41 pm## Caleb:

Very interesting! Do you know if the curriculum at Moscow State is still this rigid today? When I was at Moscow I found that the Higher School of Economics was terrific for math with more interesting courses (I believe) than even the top American universities. But I also heard that math was not good at Moscow State because it was outdated.

6 February 2022, 9:10 pm## tanyakh:

Sorry, Caleb,

I do not know about the current courses.

6 February 2022, 9:29 pm## Felipe Pait:

Education is what is left after you forget everything you were taught. In this sense, your Russian math education was a success, you can be proud of it.

That said, you are right that 40 classes on the same subject over 5 years makes little sense. It is not something young people can relate to, or make sense of in a coherent way. Much less so people who are less brilliant than you, which is the vast majority of students. That is a failure of the education system in many countries, not only Soviet Russia. Not of US universities, although of course they have their own, different, problems. The regrettable failure comes from faculty’s fear that students will be outside their disciplinary control. It’s relevant that you related better to the classes where you had a choice!

But still, I think it’s something to be proud of. You’re not responsible for issues in the design of your education by the faculty.

18 February 2022, 6:25 pm