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Higher Mathematics in International Business (6.01.292.010.24.1), доц. Місюра Є. Ю.

  • Accueil
  • Cours
  • Faculty of Training Foreign Citizens
  • Department of Economic and Mathematical Modeling
  • Full-time education
  • І term
  • Higher Mathematics
  • HM in IB / ВМ у МБ - 292 (ENLISH)
  • TOPIC 6. Differential calculus of functions of many variables. Application of the gradient vector in the linear model of international trade. Integral calculus of functions of one variable
  • TOPIC 6. Differential calculus of functions of many variables. Application of the gradient vector in the linear model of international trade. Integral calculus of functions of one variable

    TOPIC 6. Differential calculus of functions of many variables. Application of the gradient vector in the linear model of international trade. Integral calculus of functions of one variable



    • GUYS, ATTENTION, PLEASE
      YOU SHOULD

      1) READ PRESENTATION 6 (part 1,part 2, part 3) 
      2) WATCH VIDEO of LECTURE 6

      3) CARRY OUT LABORATORY WORK 6 (31.10.2024) (2 points) 

      Number of points = previous 12 points + 2 = 14 points

    • Application of function of two variable in economic problems Application of function of two variable in economic problems
    • Application of definite integrals to economic problems Application of definite integrals to economic problems
    • Presentation of Theme 6 (part 1) Presentation of Theme 6 (part 1)
    • Presentation of Theme 6 (part 2) Presentation of Theme 6 (part 2)
    • Presentation of Theme 6 (part 3) Presentation of Theme 6 (part 3)
    • WATCH VIDEO of Lecture 7 (16.10.2024) (GOOGLE-DISK) WATCH VIDEO of Lecture 7 (16.10.2024) (GOOGLE-DISK)
    • WATCH VIDEO of Lecture 8 (23.10.2024) (GOOGLE-DISK) WATCH VIDEO of Lecture 8 (23.10.2024) (GOOGLE-DISK)
    • Lecture of theme  6 Lecture of theme 6
    • Lecture of theme 7 (part 1) Lecture of theme 7 (part 1)
    • Lecture of theme 7 (part 2) Lecture of theme 7 (part 2)
    • .Independent tasks (questions) to THEME 6 .Independent tasks (questions) to THEME 6
    • TEST ONLINE

    • Test ONLINE Test ONLINE

      Maxima and minima of functions of two variables

    • ---------- VIDEO ----------

    • Extremum of function of two variables ( watch EXAMPLE 2) Extremum of function of two variables ( watch EXAMPLE 2)
    • Relative extrema of functions of several variables Relative extrema of functions of several variables
    • ------- PRACTICE -------

    • Guidelines_Func_of_sev_var Guidelines_Func_of_sev_var
    • Practice_FSV Practice_FSV
    • ------- LABORATORY WORK -------

    • Octave ONLINE Octave ONLINE
    • GRAPHS and SURFACES in OCTAVE GRAPHS and SURFACES in OCTAVE
    • Laba (OCTAVE) Laba (OCTAVE)

      Graphs. Derivatives. Definite intagrals

    • TABLES

    • ------- PRACTICE -------

    • Guidelines to INDEFINITE INTEGRALS Guidelines to INDEFINITE INTEGRALS
    • Guidelines to DEFINITE INTEGRALS Guidelines to DEFINITE INTEGRALS
    • Practice Practice

      Integration by parts. Integration of rational functions


    • Practice Practice

      Integration of rational fractions

    • Practice Practice

      Definite integral:

      Direct integration

      Integration by substitution

      Integration by parts

    • Practice (AREAS+VOLUMES) Practice (AREAS+VOLUMES)
    • Independent work (TASKS) (IND_INTEGRALS) Independent work (TASKS) (IND_INTEGRALS)
    • ------- LABORATORY WORK -------

    • Octave ONLINE Octave ONLINE
    • Laba (OCTAVE) Laba (OCTAVE)

      Graphs. Derivatives. Definite intagrals

    • TESTS ONLINE

    • TEST ONLINE TEST ONLINE

      Improve your skills in
      Antiderivatives and indefinite integrals

    • TEST ONLINE TEST ONLINE

      Первісна та невизначений інтеграл

      (Antiderivatives & indefinite integrals)

    • FREE TEST ONLINE (TEST 1) FREE TEST ONLINE (TEST 1)

      Definite integral

    • FREE  TEST ONLINE (TEST 2) FREE TEST ONLINE (TEST 2)

      Definite integral (визначений інтеграл)

    • VIDEO

    • VIDEO 2 VIDEO 2

      Integration by substitution

    • VIDEO 3 VIDEO 3

      Integration by parts

    • Laba (OCTAVE) Laba (OCTAVE)
    • ------- LABORATORY WORK (31.10.2024) -------

    • WATCH VIDEO of Laboratory work 4 (31.10.2024) (GOOGLE-DISK) WATCH VIDEO of Laboratory work 4 (31.10.2024) (GOOGLE-DISK)
    • INDEPENDET TASKS for LABORATORY WORK 6 INDEPENDET TASKS for LABORATORY WORK 6
    • GUIDELINES to LABORATORY WORK of topic 6 (EXAMPLE) GUIDELINES to LABORATORY WORK of topic 6 (EXAMPLE)
    • LABORATORY WORK 6  (31.10.2024) (2 points) LABORATORY WORK 6 (31.10.2024) (2 points)

      Task 1. A function of several variables

      Task 2. Indefinite integrals

      Task 3. Definite integrals 

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  • HM in IB / ВМ у МБ - 292 (ENLISH)
  • Accumulation of rating points in the discipline
  • ZOOM
  • Module 1: Elements of linear algebra, analytical geometry and mathematical analysis / Елементи лінійної алгебри, аналітичної геометрії та математичного аналізу
  • TOPIC 1. Elements of the theory of matrices and determinants. Matrix analysis of the international trade market
  • TOPIC 2. General theory of systems of linear algebraic equations. Linear model of international trade
  • TOPIC 3. Elements of vector algebra and analytic geometry
  • TOPIC 4. Functions and their graphs. Graphs in economic modeling. Simple and compound interest in economic studies
  • TOPIC 5. Limit of a function Continuity of a function. Differential calculus of functions of one variable. Analysis of economic indicator interrelationships
  • TOPIC 6. Differential calculus of functions of many variables. Application of the gradient vector in the linear model of international trade. Integral calculus of functions of one variable
  • COLLOQUIUM 1 & WRITTEN TEST 1
  • Module 2: Elements of probability theory and mathematical statistics / Елементи теорії ймовірностей та математичної статистики
  • TOPIC 7. Empirical and logical foundations of probability theory. Elements of combinatorics. Basic theorems of probability theory, their economic interpretation. Probability theory in international trade strategies
  • TOPIC 8. Random variables and their economic interpretation. Basic laws of distribution
  • TOPIC 9. Problems of mathematical statistics. Primary processing of statistical data. Statistical estimates of distribution parameters. Statistical evaluation methods in international trade
  • TOPIC 10. Relationship of random variables in economics. Correlation dependence. Elements of regression analysis. Forecasting the characteristics of the foreign trade market
  • TOPIC 11. Basic concepts of game theory. Application of game theory in international trade
  • COLLOQUIUM 2 & WRITTEN TEST 2
  • INDEPENDENT CREATIVE TASK
  • Final control (EXAM)
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moodlehneu@gmail.com