2021/2022
Research Seminar "Geometric Foundations of Analysis"
Type:
Optional course (faculty)
Delivered by:
Faculty of Mathematics
Where:
Faculty of Mathematics
When:
1, 2 module
Open to:
students of one campus
Instructors:
Andrey Levin
Language:
English
ECTS credits:
6
Contact hours:
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
