|
1 |
Course title |
Introduction to mathematics |
|
2 |
Year of study, |
1, |
|
3 |
Semester of study |
1 |
|
4 |
Number of credits |
2 |
|
5 |
Lecturer |
Malevich Alexander Ernestovich |
|
6 |
Course objective |
Adapting students to the modern requirements of mathematical university education; acquaintance with the language of higher mathematics, the terminology and the general mathematical constructions underlying the various mathematical disciplines; forming the foundations of mathematical thinking; expanding students’ horizons and leveling their knowledge and skills in the field of computer mathematics and information technology |
|
7 |
Prerequisites |
None |
|
8 |
Course content |
Set theory: sets, operations on sets, relations, relation properties and operations on relations, functions, equivalence relations, order relations; representation of sets, relations and functions in the computer, Gray code. Categories and functors. Algebraic structures: algebras and morphisms, algebras with one operation, algebras with two operations, vector spaces, barycentric coordinates, polylinearity, polynomials over a finite field, construction of a finite field. Computer mathematics: the structure of an electronic text document; word processors: MS Word, LaTeX, Mathematica; MS Excel spreadsheet processor; databases and database management systems; vector and raster graphic editors; color spaces and opacity |
|
9 |
Recommended literature |
1. Новиков Ф.А. Дискретная математика: Учебник для вузов. 2. Вавилов Н.А. Не совсем наивная теория множеств. Учебник — СПб. 2008. — 474 с. 3. Котельников И.А., Чеботаев П.З. LaTeX по-русски. 3-е изд. — Новосибирск: Сибирский хронограф, 2004. — 496 с. 4. Букур И., Деляну А. Введение в теорию категорий и функторов — М.: Мир, 1972. — 259 с. 5. Keith Jack Video Demystified: A Handbook for the Digital Engineer, Fourth Edition. Chapter 3. Color Spaces — Elsevier Inc., 2005. — 20 p |
|
10 |
Teaching methods |
Lectures and seminars (1+1) |
|
11 |
Teaching language |
Russian |
|
12 |
Requirements, current control |
Homeworks, surveys, tests |
|
13 |
Method of certification |
Credit |