Бакалавриат
2022/2023
Теория вычислений
Лучший по критерию «Полезность курса для расширения кругозора и разностороннего развития»
Лучший по критерию «Новизна полученных знаний»
Статус:
Курс по выбору (Прикладная математика и информатика)
Направление:
01.03.02. Прикладная математика и информатика
Где читается:
Факультет компьютерных наук
Когда читается:
3-й курс, 1, 2 модуль
Формат изучения:
без онлайн-курса
Охват аудитории:
для своего кампуса
Язык:
английский
Кредиты:
5
Контактные часы:
60
Course Syllabus
Abstract
This course teaches a mathematical theory that helps to invent better algorithms. With “better” we mean that the algorithms use fewer resources such as time or memory. We also consider parallel computation, distributed systems and learning problems. In these settings we might also optimize other types of resources. For example, in distributed systems we might want to minimize the amount of communication. We focuss on worst case guarantees. A large part of our time is devoted to the study of what is not possible. In other words, we study fundamental barriers for the existence of programs that use fewer resources than a given bound.
Learning Objectives
- understand the concepts of the complexity classes P, NP, coNP, #P, EXP, NEXP, L, NL, PSPACE, EXPSPACE, BPP, RP
- be able to critically analyse resources used by a program (and optimize them at a high level)
- be able to recognize intractable problems and categorize their difficulty
- be able to recognize intractable problems and categorize their difficulty
- have deeper understanding and trained problem solving skills of known materials in: algebra, probability theory, discrete math, algorithms
