Abstract mathematics

Организатор: Финансовый университет при Правительстве РФ
Москва
Даты проведения:

С открытой датой

Описание мероприятия

Язык обучения: английский

Для кого эта программа

The course is designed to enable students to:

  • develop their ability to think in a critical manner
  • formulate and develop mathematical arguments in a logical manner
  • improve their skill in acquiring new understanding and expertise
  • acquire an understanding of basic pure mathematics, and the role of logical argument in mathematics.

Описание программы

This course is an introduction to formal mathematical reasoning, in which proof is central. It introduces fundamental concepts and constructions of mathematics and looks at how to formulate mathematical statements in precise terms. It then shows how such statements they can be proved or disproved. It provide students with the skills required for more advanced courses in mathematics.

This course is designed to enable students to:

  • develop their ability to think in a critical manner
  • formulate and develop mathematical arguments in a logical manner
  • improve their skill in acquiring new understanding and expertise
  • acquire an understanding of basic pure mathematics and the role of logical argument in mathematics.

Assessment

This course is assessed by a three-hour unseen written examination.

Учебный план:

Topics covered are: Logic, integers, sets and functions, prime numbers, relations, real and complex numbers, greatest common divisor and modular arithmetic, infimum and supremum, sequences, limits of sequences, functions and limits of functions, continuity, groups.

Результат обучения:

At the end of this course and havingcompleted the essential reading andactivities students should:

  • have used basic mathematicalconcepts in discrete mathematics,algebra and real analysis to solvemathematical problems in this subject.
  • be able to use formal notation correctly and in connection with precise statements in English.
  • be able to demonstrate an understanding of the underlying principle of the subjects.
  • be able to solve unseen mathematical problems in discrete mathematics, algebra and real analysis.
  • be able to prove statements and formulate precise mathematical arguments.

Требования к поступающим:

If taken as part of a BSc degree, courses which must be passed before this course may be attempted:

  • MT1174 Calculus or both
  • MT105a Mathematics 1 and 05b Mathematics 2

Exclusion

This course may not be taken with MT3095 Further mathematics for economists.

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