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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 5. Limit of a function Continuity of a function. Differential calculus of functions of one variable. Analysis of economic indicator interrelationships
  • TOPIC 5. Limit of a function Continuity of a function. Differential calculus of functions of one variable. Analysis of economic indicator interrelationships

    TOPIC 5. Limit of a function Continuity of a function. Differential calculus of functions of one variable. Analysis of economic indicator interrelationships

    • GUYS, ATTENTION, PLEASE
      YOU SHOULD

      1) READ PRESENTATION 5
      2) WATCH VIDEO of LECTURE 5

      3) SOLVE TEST (PERCENT + LIMITS) (1 point)

      4) SOLVE TEST (DERIVATIVES) (1 point)

      Number of points = previous 10 points + 1+1=12

    • Applications-of-derivatives-to-business and economic problems Applications-of-derivatives-to-business and economic problems
    • Presentation of Theme 5 (part 1) Presentation of Theme 5 (part 1)
    • Presentation of Theme 5 (part 2) Presentation of Theme 5 (part 2)
    • WATCH VIDEO of Lecture 6 (09.10.2024) (GOOGLE-DISK) WATCH VIDEO of Lecture 6 (09.10.2024) (GOOGLE-DISK)
    • WATCH VIDEO of Lecture 7 (16.10.2024) (GOOGLE-DISK) WATCH VIDEO of Lecture 7 (16.10.2024) (GOOGLE-DISK)
    • .Independent tasks (questions) to THEME 5 .Independent tasks (questions) to THEME 5
    • Lecture of theme 5 Lecture of theme 5
    • ---------- PRACTICE ----------

    • Guidelines Limits Guidelines Limits
    • GUIDELINES_EXAMPLES GUIDELINES_EXAMPLES

      LIMITS

    • Practice_Limits_continuity Practice_Limits_continuity
    • Practice Practice

      Limit of a function

    • Practice_limits Practice_limits
    • ------- LABORATORY WORK -------

    • LABORATORY WORK (LIMITS) (EXAMPLES) LABORATORY WORK (LIMITS) (EXAMPLES)

      OCTAVE+NOTES

    • INDEPENDENT WORK (TASKS) INDEPENDENT WORK (TASKS)

      LIMITS

    • ---------- VIDEO ----------

    • How to find limits (fast and easy) How to find limits (fast and easy)
    • The Second Remarkable Limit The Second Remarkable Limit
    • How to Find the Limit at Infinity How to Find the Limit at Infinity
    • FINDING LIMITS ALGEBRAICALLY - CALCULUS FINDING LIMITS ALGEBRAICALLY - CALCULUS
    • Limits of Trigonometric Functions Limits of Trigonometric Functions
    • ---------- TABLES ----------

    • Table of derivatives of elementary functions Table of derivatives of elementary functions

      Table of derivatives of elementary functions

    • Table of derivatives of composite functions Table of derivatives of composite functions

      Table of derivatives of composite functions

    • ---------- VIDEO ----------

    • Calculus - How to find the derivative of a function using the power rule Calculus - How to find the derivative of a function using the power rule
    • The Product Rule for Derivatives The Product Rule for Derivatives
    • Quotient Rule For Derivatives Quotient Rule For Derivatives
    • Increasing and Decreasing Functions - Calculus Increasing and Decreasing Functions - Calculus
    • Concavity, Inflection Points, Increasing Decreasing, First & Second Derivative - Calculus Concavity, Inflection Points, Increasing Decreasing, First & Second Derivative - Calculus
    • Understanding Limits and L'Hospital's Rule Understanding Limits and L'Hospital's Rule
    • ------- PRACTICE -------

    • Guidelines_Differential calculus Guidelines_Differential calculus
    • GUIDELINES GUIDELINES

      EXAMPLES OF DERIVATIVES

    • Practice (DERIVATIVES) Practice (DERIVATIVES)
    • Guidelines Guidelines

      Application of derivatives

    • Practice Practice

      Application of derivatives to an investigation of function

    • Practice(DERIVATIVES, TASKS) Practice(DERIVATIVES, TASKS)
    • INDEPENDENT WORK (TASKS) INDEPENDENT WORK (TASKS)

      Investigation of a function

      Fulfill all steps of this investigation. 

      Find derivatives and plot the graph using Octave online

    • ------- LABORATORY WORK -------

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

      Graphs. Derivatives. Indefinite intagrals

    • LABORATORY STUDY (EXAMPLE) LABORATORY STUDY (EXAMPLE)

      OCTAVE+NOTES

    • _____________ HOMEWORK ______________

    • WATCH VIDEO of Practice 3 (24.10.2024) (GOOGLE-DISK) WATCH VIDEO of Practice 3 (24.10.2024) (GOOGLE-DISK)
    • TEST (PERCENT + LIMITS) (1 point) (24.10.2024) TEST (PERCENT + LIMITS) (1 point) (24.10.2024)

      Time: 20 minutes

      11 multiple choice questions


    • TEST (DERIVATIVES) (1 point) (24.10.2024) TEST (DERIVATIVES) (1 point) (24.10.2024)

      Time: 20 minutes

      10 multiple choice questions


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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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