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

  • Startseite
  • Kurse
  • 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 2. General theory of systems of linear algebraic equations. Linear model of international trade
  • TOPIC 2. General theory of systems of linear algebraic equations. Linear model of international trade

    TOPIC 2. General theory of systems of linear algebraic equations. Linear model of international trade



    • GUYS, ATTENTION, PLEASE
      YOU SHOULD

      1) READ PRESENTATION 2
      2) WATCH VIDEO OF LECTURE 2

      3) SOLVE HOMEWORK 1 (1 point)

      4) CARRY OUT LABORATORY WORK 2 (2 points)

      Number of points = previous 3 points + 1+2=6

    • Presentation of Theme 2 Presentation of Theme 2
    • # Applications-of-Systems-to-Business-and-Economics # Applications-of-Systems-to-Business-and-Economics
    • WATCH VIDEO of Lecture 1 & Lecture 2 (11.09.2024) WATCH VIDEO of Lecture 1 & Lecture 2 (11.09.2024)
    • WATCH VIDEO of Lecture 3 (18.09.2024) WATCH VIDEO of Lecture 3 (18.09.2024)
    • Lecture of Theme 2 Lecture of Theme 2
    • .Independent tasks (questions) to THEME 2 .Independent tasks (questions) to THEME 2
    • VIDEO

    • Video (CRAMER'S RULE) Video (CRAMER'S RULE)
    • VIDEO (inverse matrix method) VIDEO (inverse matrix method)
    • VIDEO (JORDAN-GAUSS MEHOD) VIDEO (JORDAN-GAUSS MEHOD)
    • ------- PRACTICE -------

    • Practice Practice
    • Guidelines_Matrices_Systems Guidelines_Matrices_Systems
    • Independent work (extra tasks) Independent work (extra tasks)
    • Independent work (Matrices&Systems) Independent work (Matrices&Systems)
    • EXAMPLE (COFACTORS, INVERSE MATRIX) EXAMPLE (COFACTORS, INVERSE MATRIX)
    • Guidelines Guidelines

      Solving SLAE using

      a) Cramer's method;

      b) an inverse matrix method;

      c) Jordan-Gauss method 

    • WATCH VIDEO of Practice 1 (26.09.2024) (GOOGLE-DISK) WATCH VIDEO of Practice 1 (26.09.2024) (GOOGLE-DISK)
    • .INDEPENDENT WORK (ECONOMIC TASKS) .INDEPENDENT WORK (ECONOMIC TASKS)
    • Creating a mathematical modeling Creating a mathematical modeling
    • EXAMPLE of CRAMER'S METHOD (OUR WRITEBOARD) EXAMPLE of CRAMER'S METHOD (OUR WRITEBOARD)
    • HOMEWORK 1  (1 point) (26.09.2024) HOMEWORK 1 (1 point) (26.09.2024)

      HOMEWORK / SOLVING YOUR VARIANT OF THE INDEPENDENT WORK (TASKS) 

      1) Create the mathematical model of your task
      2) Solve the system (AX=B) using Cramer's method (use EXAMPLE)


      Upload photos of your solving in your notes 

    • ----- LABORATORY WORK -----

    • OCTAVE ONLINE OCTAVE ONLINE
    •  
    • WATCH VIDEO of Laboratory work 2 (03.10.2024) (GOOGLE-DISK) WATCH VIDEO of Laboratory work 2 (03.10.2024) (GOOGLE-DISK)
    • .INDEPENDENT WORK (ECONOMIC TASKS) .INDEPENDENT WORK (ECONOMIC TASKS)
    • .LABORATORY WORK 2 (EXAMPLE) .LABORATORY WORK 2 (EXAMPLE)
    • LABORATORY WORK 2 (2 points) (03.10.2024) LABORATORY WORK 2 (2 points) (03.10.2024)

      Take your variant of Independent work (ECONOMIC TASKS)

      STEP 1. Use OCTAVE and solve the system of 
      your variant using 
      1) Cramer's method
      2) the inverse matrix method
      3) the built-in function SOLVE
      STEP 2. Solve  your system of equations using Jordan-Gauss method in your notes

      Submit (photos of solving by JORDAN-GAUSS METHOD ) + (your calculations (CRAMER`S METHOD, INVERSE MASTRIX METHOD and built-in functionSOLVE) in OCTAVE) as surname.doc

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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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