Faculty of BSU

1 |
Name of the course |
Computer Mathematics |

2 |
Training Course |
1 1-31 03 09 Computer mathematics and systems analysis |

3 |
Semester |
2 |

4 |
Number of credits |
4 |

5 |
Name of the lecturer |
Associate Professor Shcheglova Natalya Leonidovna, Ph.D., Associate Professor |

6 |
Purpose of the discipline |
Formation of students’ skills and research skills in the modern computer mathematical environment Mathematica. As a result of the training, the student must know: – The ideology of the system and the principles of work in it; tools, data structures; features of building user functions; the possibility of visualizing research and formalizing research results in the form of publications; be able to: – apply a modern mathematical apparatus in effective integration with computer mathematical tools; – create and explore mathematical, computer, simulation models of different levels of abstraction; – to develop and analyze methods, algorithms, and software solutions for research topics; – skillfully apply the Wolfram programming language; – analyze the results of research, build information models; – prepare materials for publication on the topics and results of ongoing research; – independently expand computer mathematical knowledge with their further use in the construction and analysis of mathematical and computer models of a wide range of theoretical and applied problems. |

7 |
Prerequisite |
The courses of the first semester and the courses of the current semester of disciplines “Algebra and Number Theory”, “Geometry”, “Mathematical Analysis”, “Programming Methods and Informatics”. |

8 |
Content of discipline |
The symbol is the main object in the calculations. Character attributes. Lists of symbol values. Organization of the computational process in Mathematica. Principles of localization of variables. Contexts and packages. Visualization of research. Dynamic interactivity. Formatting the output. Electronic document Mathematica. Computer models of some mathematical operations. Modeling of Pade approximants. Computer modeling on the example of the problem “Hanoi Tower”. Design and implementation of the knowledge system “Analytical geometry in E3”. Generalization to the case of an n-dimensional affine space. |

9 |
Recommended literature |
1. Goloubeva, L. L. Computer mathematics. Symbolic package Mathematica: a course of lectures / L. L. Goloubeva, A. E. Malevich, N. L. Scheglova. Minsk: BSU, 2005. 103 pp. 2. Goloubeva, L. L. Computer mathematics. Symbol package Mathematica: lab. workshop. At 2 o’clock Part 1. / L. L. Goloubeva, A. E. Malevich, N. L. Shcheglova. Minsk: BSU, 2012. 235 p. 3. Shifrin, L. Mathematica Programming: An Advanced Introduction. / L. Shifrin. Meduim: e-book, 2008, 408 p. 4. Nikulin E.A. Computer geometry and computer graphics algorithms. St. Petersburg, BHV – Petersburg, 2003. 5. Vorobiev, EM Introduction to the system “Mathematics”: Proc. allowance. M: Finance and Statistics, 1998. 262 p. 6. Maeder, R. Computer Science with Mathematica: Theory and Practice for Science, Mathematics, and Engineering / R. Maeder. Cambridge Univ Pr, 2006. 389 p. |

10 |
Methods of Problem |
Explanatory-illustrative, reproductive, partially search |

11 |
Language learning |
Russian |

12 |
Conditions (requirements) of the current control |
Test, control tasks |

13 |
Form current certification |
Credit, exam |