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?



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

A: Isaac Newton developed calculus, expecting to apply it to dynamics. Mathematics is therefore dedicated to dynamics, and because dynamics is the basis of engineering, mathematics contributes to manufacturing technology.

Modern society cannot get along without electricity, where vector analysis, a kind of mathematics, is used in electromagnetism. Mathematical disciplines such as Fourier analysis handling periodic functions and differential equations are also important.

Life sciences such as medicine deal with extremely complicated living bodies. Probability and statistics are applied thereto because exact prediction of the future is not possible, as it might be with physics. We reason that "This patient will be cured with medical treatment with a probability of 70%, and no serious side effect is anticipated even if in case of incomplete recovery. Therefore this medical treatment should be conducted."

Today’s world economy has been experiencing extremely rapid changes. The most important issue is the prediction of economic fluctuation, which is a business of economics. Mathematics, such as vectors, matrices, and calculus, is employed extensively in modern economics.

Computers also share a close relation with mathematics. Because computers are literally supposed to compute, naturally they are closely related to mathematics. The foundation of mathematics??those studies at the root of mathematics??is almost identical to fundamental computer theory.  

Two major discoveries in the 20th century are the theory of relativity and quantum mechanics. The theory of relativity, which considers gravity as "curved space", employs "Riemannian geometry", the theory of a curved space. The idea of probability is crucial for quantum mechanics because the solution of its fundamental equation provides the "probability that matter exists." Additionally, its fundamental equation is given as a differential equation in a space of infinite dimensions. Consequently, advanced mathematics is of practical use everywhere.

The latest applications include algebra for safe communications and probability theory for finance theory, which is a theory of investment.

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