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Writing

Using texts A, B, and C of Unit 1 write a presentation about student life at NUWMNRU and MIT.

Extended reading

Text D. Applied Mathematics Research

Read and translate the text into Ukrainian at home. If you were a student of Applied Mathematics department at MIT, which field would you choose? Present your reasons to the whole group.

Department of applied mathematics look for important connections with other disciplines that may inspire interesting and useful mathematics, and where innovative mathematical reasoning may lead to new insights and applications.

Applied Mathematics Fields

• Combinatorics

• Computational Biology

• Physical Applied Mathematics

• Computational Science & Numerical Analysis

• Theoretical Computer Science

• Theoretical Physics

Combinatorics

Combinatorics involves the general study of discrete objects. Reasoning about such objects occurs throughout mathematics and science. For example, major biological problems involving decoding the genome and phylogenetic trees are largely combinatorial. Researchers in quantum gravity have developed deep combinatorial methods to evaluate integrals, and many problems in statistical mechanics are discretized into combinatorial problems. Three of the four 2006 Fields Medals were awarded for work closely related to combinatorics: Okounkov's work on random matrices and Kontsevich's conjecture, Tao's work on primes in arithmetic progression, and Werner's work on percolation.

The department has been on the leading edge of combinatorics for the last forty years. The late Gian-Carlo Rota is regarded as the founding father of modern enumerative/algebraic combinatorics, transforming it from a bag of ad hoc tricks to a deep, unified subject with important connections to other areas of mathematics. The department has been the nexus for developing connections between combinatorics, commutative algebra, algebraic geometry, and representation theory that have led to the solution of major long-standing problems. They are also a leader in extremal, probabilistic, and algorithmic combinatorics, which have close ties to other areas including computer science.

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