Q1What is the difference between mathematics studied at the Mathematical Institute and mathematics studied in high school?

Q2 How do I study in the Mathematical Institute? What is the merit of studying at the Mathematical Institute in graduate studies?

Q3 What subjects do I study at the university mathematics department?

Q4 In what order will I study mathematics courses at the university mathematics department?

Q5 What is interdisciplinary education?

Q6 What is a seminar?

Q7 I got better grades in high school mathematics than other students. Can I learn mathematics well in the university mathematics department?

Q8 What is important for studying at the Mathematical Institute?

Q9 What should I do when I am lost in mathematics?

Q10 What kinds of jobs are available after graduation from the Mathematical Institute?

Q11 How can I carry out a job search at the Mathematical Institute?

Q12 How much does it cost to enter Tohoku University?

Q13 How much does it cost to rent an apartment in Sendai?

Q14 How is mathematics useful to society?

Q15 Please give me some examples of how mathematics is useful for the outside world.

Q16 Will mathematicians' research truly contribute to society?

Q17 How can I solve problems in study or private life?

Q18 What should I do if I cannot get along with my instructor?



  
Q&A 

 

Q1 What is the difference between mathematics studied at the Mathematical Institute and mathematics studied in high school?

A: Consider the following infinite sum.
 S = 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + ...
Group it with parentheses as
 S = (1 - 1) + (1 - 1) + (1 - 1) + ...= 0 + 0 + 0 + ...= 0
 S = 1 + (- 1 + 1) + (- 1 + 1) + (- 1 + 1) + ...= 1 + 0 + 0 + 0 + ...=
and + 1 も - 1 Since there are infinitely many +1’s and -1’s,
 S = (1 + 1 - 1) + (1 + 1 - 1) + (1 + 1 - 1) + ...= 1 + 1 + 1 + ...= ∞
 S = (1 - 1 - 1) + (1 - 1 - 1) + (1 - 1 - 1) + ...= -1- 1- 1 - ...= - ∞
Students at the university mathematics department can explain why this happens easily, but other students probably can not.

 
Mathematics includes many difficult and delicate matters, in fact. However, high school education and interdisciplinary education at a university do not usually involve such difficulty. They teach only one aspect of mathematics, which everyone might need to know in daily life.

On the other hand, true mathematics is taught at the university mathematics department. You are seldom taught in high school mathematics why a formula is correct. A university mathematics department lets you understand everything by yourself, including the terms under which a formula holds.

TOHOKU UNIVERSITY Graduate School of Science and Faculty of Science,
Tohoku University
Division of Mathematics
Graduate School of Information Science
Tohoku University