Survey online courses in mathematics
Often during the interviews to the magistracy of SPbAU or CS center, children find it difficult to answer questions about elementary concepts from both classical and discrete mathematics. And this knowledge is required for the development of courses of algorithms, machine learning and other computer science disciplines. To facilitate training, the Academic University, in conjunction with the Computer Science Center, is launching two online courses this spring:
The purpose of these courses is to consider the most elementary concepts of discrete and classical mathematics. They are not aimed at in-depth study of the aforementioned sciences, however, they will help to get the necessary base and prepare for mastering courses that require knowledge of mathematical foundations, as well as learn how to answer mathematical questions during interviews.
Courses are hosted on the friendly Stepic platform.
The course starts on the first Monday of March. Lecturer - Alexander Vladimirovich Omelchenko, Doctor of Physical and Mathematical Sciences, Head of the Department of Mathematical and Information Technologies of SPbAU.
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The course is divided into four main parts:
The purpose of the first part is to recall the most fundamental concepts of linear algebra and show (with a large number of examples) how these concepts help in solving specific problems. In the second part, we will talk about the basic concepts of elementary (it is often called school) combinatorics, and explain the general approaches to solving the simplest (but very common in practice) combinatorial problems. In the section devoted to graphs, we will talk about what is oriented or non-oriented graph, tree, cycle, bichromatic graph, matching, etc., as well as the most important statements and facts from this science. Finally, in a very small fourth section we will talk about what a discrete probability and a discrete random variable are, talking about conditional probability and the Bayes formula, determining the expectation and variance of a discrete random variable.
There are no special requirements for preliminary training of students, the material is presented from the very foundations. Even students who are in high school and want to become programmers can listen to the course.
The course is read by Alexander I. Khrabrov, Candidate of Physical and Mathematical Sciences, Associate Professor at the Department of Mathematical Analysis of St. Petersburg State University, teacher at the Academic University and CS Center.
Where in our time without mathematical analysis? Are you smiling? Do you know what continuity is and how it differs from uniform continuity? Do you remember what a derivative is? Without mathematical analysis, neither numerical methods, nor computer vision, nor even control theory can be studied. Therefore (and also because once the course is in discrete mathematics, it must also be continuous for symmetry), it was decided to create this course.
In order to design manipulators and put satellites on comets, of course, the material from this course will not be enough. But then the listener will have a strong foundation for obtaining such knowledge in the future.
To master the course, students need to have a school curriculum in mathematics, preferably in the amount of physical classes.
- Educational program on discrete mathematics. Lecturer - A.V. Omelchenko (SPbAU RAS).
- Introduction to mathematical analysis. Lecturer - A.I. Khrabrov (SPSU, SPbAU RAS, CS Center).
The purpose of these courses is to consider the most elementary concepts of discrete and classical mathematics. They are not aimed at in-depth study of the aforementioned sciences, however, they will help to get the necessary base and prepare for mastering courses that require knowledge of mathematical foundations, as well as learn how to answer mathematical questions during interviews.
Courses are hosted on the friendly Stepic platform.
Educational program in discrete mathematics
The course starts on the first Monday of March. Lecturer - Alexander Vladimirovich Omelchenko, Doctor of Physical and Mathematical Sciences, Head of the Department of Mathematical and Information Technologies of SPbAU.
')
The course is divided into four main parts:
- Linear algebra
- Combinatorics
- Graph theory
- Discrete probability
The purpose of the first part is to recall the most fundamental concepts of linear algebra and show (with a large number of examples) how these concepts help in solving specific problems. In the second part, we will talk about the basic concepts of elementary (it is often called school) combinatorics, and explain the general approaches to solving the simplest (but very common in practice) combinatorial problems. In the section devoted to graphs, we will talk about what is oriented or non-oriented graph, tree, cycle, bichromatic graph, matching, etc., as well as the most important statements and facts from this science. Finally, in a very small fourth section we will talk about what a discrete probability and a discrete random variable are, talking about conditional probability and the Bayes formula, determining the expectation and variance of a discrete random variable.
There are no special requirements for preliminary training of students, the material is presented from the very foundations. Even students who are in high school and want to become programmers can listen to the course.
Introduction to Mathematical Analysis
The course is read by Alexander I. Khrabrov, Candidate of Physical and Mathematical Sciences, Associate Professor at the Department of Mathematical Analysis of St. Petersburg State University, teacher at the Academic University and CS Center.
Where in our time without mathematical analysis? Are you smiling? Do you know what continuity is and how it differs from uniform continuity? Do you remember what a derivative is? Without mathematical analysis, neither numerical methods, nor computer vision, nor even control theory can be studied. Therefore (and also because once the course is in discrete mathematics, it must also be continuous for symmetry), it was decided to create this course.
In order to design manipulators and put satellites on comets, of course, the material from this course will not be enough. But then the listener will have a strong foundation for obtaining such knowledge in the future.
To master the course, students need to have a school curriculum in mathematics, preferably in the amount of physical classes.
Source: https://habr.com/ru/post/285754/
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