Master
2023/2024
Calculus
Type:
Compulsory course (Master of Data Science)
Area of studies:
Applied Mathematics and Informatics
Delivered by:
Big Data and Information Retrieval School
Where:
Faculty of Computer Science
When:
1 year, 2 module
Mode of studies:
distance learning
Online hours:
52
Open to:
students of one campus
Instructors:
Nikita Lukianenko
Master’s programme:
Master of Data Science
Language:
English
ECTS credits:
3
Contact hours:
10
Course Syllabus
Abstract
Our course aims to provide necessary background in Calculus sufficient for up-following Data Science courses.
Course starts with basic introduction to concepts concerning functional mappings. Later students are assumed to study limits (in case of sequences, single- and multivariate functions), differentiability (once again starting from single variable up to multiple cases), integration, thus sequentially building up a base for the basic optimization. To provide an understanding of the practical skills set being taught, the course introduces the final programming project considering the usage of optimization routine in machine learning.
Additional materials provided during the course include interactive plots in GeoGebra environment used during lectures, bonus reading materials with more general methods and more complicated basis for discussed themes.