2021/2022
Научно-исследовательский семинар "Геометрические основы анализа"
Статус:
Дисциплина общефакультетского пула
Кто читает:
Факультет математики
Где читается:
Факультет математики
Когда читается:
1, 2 модуль
Охват аудитории:
для своего кампуса
Преподаватели:
Левин Андрей Михайлович
Язык:
английский
Кредиты:
6
Контактные часы:
60
Course Syllabus
Abstract
We introduce and study the basic notions of analysis: metric spaces, continuity, differentiation and integration. We also prove some applications, such as the mean value theorem, and Cauchy inequality.
Learning Objectives
- The goal of the course is to teach the students to handle the basic notions of analysis: metric spaces, continuity, differentiation and integration.
Expected Learning Outcomes
- The students learn the mean value theorem and its applications
- The students learn the notion of absolutely convergent series
- The students learn the notion of compactness
- The students learn the notion of complete metric spaces
- The students learn the notion of continuous maps
- The students learn the notion of differentiation
- The students learn the notion of integration
- The students learn the notion of metric spaces