Mathematics
This course provides students with the fundamental mathematical apparatus necessary for solving professional problems in economics and management. It covers linear algebra, analytical geometry, mathematical analysis, differential and integral calculus, and ordinary differential equations. Students develop skills in analytical calculations, matrix computations, and the use of software tools for solving mathematical and applied problems. The course combines theoretical lectures with practical sessions on solving typical problems.
The goal of mastering the discipline
To develop students' mathematical thinking and provide the fundamental mathematical apparatus necessary for solving professional problems in economics and management.
The skills you get
- Know the main mathematical methods: linear algebra, differential and integral calculus, ordinary differential equations.
- Be able to formalize problem conditions using mathematical symbols and solve standard mathematical problems.
- Master skills in analytical calculations (derivatives, integrals, limits), matrix calculations, and using software tools for solving mathematical and applied problems.
Topics covered
- The course covers linear algebra and analytical geometry (matrices, determinants, systems of linear equations, vectors, planes), foundations of mathematical analysis (limits, continuity, complex numbers), differential calculus of functions of one and several variables, integral calculus (indefinite and definite integrals, applications), and the basics of ordinary differential equations. The course includes practical sessions on solving typical problems and preparing for tests and exams.
When instructed
- 1st year, 1st and 2nd semester
List of references and sourses
Ilyin V.A. "Mathematical Analysis" (2007)
Soloviev I.A. et al. "Practical Guide to Solving Problems in Higher Mathematics" (2009)
Van der Waerden B.L. "Algebra" (1979)
Reznichenko S.V. "Analytical Geometry in Examples and Problems" (2001)
Egorov A.I. "Ordinary Differential Equations with Applications" (2007)
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