Specialist
2024/2025
Computer Mathematics: Supplementary Chapters
Type:
Compulsory course (Cyber Security)
Delivered by:
School of Applied Mathematics
When:
2 year, 1, 2 module
Mode of studies:
offline
Open to:
students of one campus
Area of studies:
Cyber Security
Language:
English
ECTS credits:
3
Course Syllabus
Abstract
This course is based on • knowledge of main mathematical concepts and methods in discrete mathematics, linear algebra and real analysis; • the material presented in basic computer programming and algorithm and date structure courses. Supplementary Chapters of computer mathematics is a course for the second year students studying at MIEM NRU HSE specializing in Computer security. This course is an introduction to the methods of mathematical modelling using modern features of specialized software systems. The Wolfram Mathematica is used as a main tool of mathematical modelling in this course. The course focuses on the study of numerical and symbolic mathematical calculations, as well as on the study of the basic principles of programming in the Wolfram Mathematica system. The emphasis of the course is more on solving a variety of different problems rather than on the rigorous and theoretical study of general methods of mathematical modelling. The problems from different areas of mathematics are covered in the course, including elementary math, mathematical analysis, discrete mathematics, linear algebra and probability theory. The mathematical modelling of physical processes is also slightly covered in the course.
Learning Objectives
- This course is based on • knowledge of main mathematical concepts and methods in discrete mathematics, linear algebra and real analysis; • the material presented in basic computer programming and algorithm and date structure courses. Supplementary Chapters of computer mathematics is a course for the second year students studying at MIEM NRU HSE specializing in Computer security. This course is an introduction to the methods of mathematical modelling using modern features of specialized software systems. The Wolfram Mathematica is used as a main tool of mathematical modelling in this course. The course focuses on the study of numerical and symbolic mathematical calculations, as well as on the study of the basic principles of programming in the Wolfram Mathematica system. The emphasis of the course is more on solving a variety of different problems rather than on the rigorous and theoretical study of general methods of mathematical modelling. The problems from different areas of mathematics are covered in the course, including elementary math, mathematical analysis, discrete mathematics, linear algebra and probability theory. The mathematical modelling of physical processes is also slightly covered in the course.
Expected Learning Outcomes
- Knowledge of computer algebra systems and their differences.
- Knowledge of the Wolfram Language and the ability to use it in practice.
- Student must know the main mathematical software and specialized packages of programs designed to solve applied mathematical problems, basic computer technologies for mathematical research and criterias for evaluating the effectiveness of using various algorithms, medthods and computer technologies.
- Student must know how to choose software tools and professionally use computers for solution of applied problems.
- Student must own the skills of finding adequate and effective ways of solving mathematical problems with using computer technology
Course Contents
- Introduction in Mathematical Software. What is difference between symbolic and numerical calculation?
- Introduction in Wolfram Language.
- Basic mathematical problems solving by using Wolfram Mathematica.
- Advanced using Wolfram Mathematica.
- The study of applied mathematics models with the computer technologies.
Interim Assessment
- 2024/2025 2nd module0.25 * Classroom activity + 0.25 * Contol work + 0.4 * Exam + 0.1 * Homework
Bibliography
Recommended Core Bibliography
- Mureşan, M. (2017). Introduction to Mathematica® with Applications. Cham, Switzerland: Springer. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=1472921
Recommended Additional Bibliography
- Magrab, E. B. (2014). An Engineer’s Guide to Mathematica. Chichester, West Sussex: Wiley. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=752652