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Higher Mathematics in International Business (6.01.292.010.24.1), доц. Місюра Є. Ю.
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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)
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Lecture / practice / laboratory work / 292
Lecture / practice / laboratory work / 292
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HM in IB / ВМ у МБ - 292 (ENLISH)
Accumulation of rating points in the discipline
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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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Group in Telegram (292)
Annotation
___ Syllabus (Силабус) 2024/2025 (292)
___ Робоча програма (WORKING PLAN) 2024-2025 (292)
___ Technological card / Tехнологічна карта / 2024-2025 (292) (ukrainian)
___ Technological card / Tехнологічна карта / 2024-2025 (292) (english)
Recommended reading
English / Ukrainian Dictionary MATH
e-book
Examination paper (EXAMPLE)
CONSULTATION for STUDENTS on THURSDAYS (class 5, 15:50-17:25)
WATCH VIDEO of Lecture 1 & Lecture 2 (11.09.2024)
WATCH VIDEO of Lecture 3 (18.09.2024)
WATCH VIDEO of Laboratory work 1 (19.09.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 4 (25.09.2024)
WATCH VIDEO of Practice 1 (26.09.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 5 (02.10.2024)
WATCH VIDEO of Laboratory work 2 (03.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 6 (09.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 6 (09.10.2024)
WATCH VIDEO of Practice 2 (10.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 7 (16.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 7 (16.10.2024)
WATCH VIDEO of Laboratory work 3 (17.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 8 (23.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 8 (23.10.2024)
WATCH VIDEO of Practice 3 (24.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 9 (30.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 9 (30.10.2024)
WATCH VIDEO of Laboratory work 4 (31.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 10 (06.11.2024)
WATCH VIDEO of Practice 4 (07.11.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 11 (13.11.2024)
WATCH VIDEO of Laboratory work 5 (14.11.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 12 (20.11.2024)
WATCH VIDEO of Practice 5 (21.11.2024) (GOOGLE-DISK)
WATCH VIDEO of Practice 6 (05.12.2024) (GOOGLE-DISK)
WATCH VIDEO of Laboratory work 6 (12.12.2024)
Applications-of-Matrices-to-Business-and-Economics
Introduction to Math expressions
Presentation of Theme 1
WATCH VIDEO of Lecture 1 & Lecture 2 (11.09.2024)
Lecture of Theme 1
.Independent tasks (questions) to THEME 1
Addition and a subtraction of matrices
Multiplication of a matrix by a number
Multiplication of matrices
Determinant of 2x2 matrix
Determinant of 3x3 matrix
Determinant of 3x3 matrix (SARRUS RULE)
Minors and Cofactors of a Matrix
# Practice of THEME 1
Independent work (cofactors&determinants)
Guidelines (matricies)
.Test for your independent work (FREE) / Matrices&Determinants
.HOMEWORK 1 (TEST / 1 point) / 12 minutes / 2 attempts (26.09.2024)
OCTAVE ONLINE
OCTAVE (GUIDELINES)
.LABORATORY WORK 1
WATCH VIDEO of Laboratory work 1 (19.09.2024) (GOOGLE-DISK)
.Independent work (TASKS)
.LABORATORY WORK 1 (EXAMPLE)
LABORATORY WORK 1 (2 points) (19.09.2024)
Presentation of Theme 2
# Applications-of-Systems-to-Business-and-Economics
WATCH VIDEO of Lecture 1 & Lecture 2 (11.09.2024)
WATCH VIDEO of Lecture 3 (18.09.2024)
Lecture of Theme 2
.Independent tasks (questions) to THEME 2
Video (CRAMER'S RULE)
VIDEO (inverse matrix method)
VIDEO (JORDAN-GAUSS MEHOD)
Practice
Guidelines_Matrices_Systems
Independent work (extra tasks)
Independent work (Matrices&Systems)
EXAMPLE (COFACTORS, INVERSE MATRIX)
Guidelines
WATCH VIDEO of Practice 1 (26.09.2024) (GOOGLE-DISK)
.INDEPENDENT WORK (ECONOMIC TASKS)
Creating a mathematical modeling
EXAMPLE of CRAMER'S METHOD (OUR WRITEBOARD)
HOMEWORK 1 (1 point) (26.09.2024)
OCTAVE ONLINE
WATCH VIDEO of Laboratory work 2 (03.10.2024) (GOOGLE-DISK)
.INDEPENDENT WORK (ECONOMIC TASKS)
.LABORATORY WORK 2 (EXAMPLE)
LABORATORY WORK 2 (2 points) (03.10.2024)
.Presentation of Theme 3 (part 1)
.Presentation of Theme 3 (part 2)
WATCH VIDEO of Lecture 4 (25.09.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 5 (02.10.2024) (GOOGLE-DISK)
.Аpplications-of-Vectors-to-Business-and-Economics
.Applications-of-Straight lines-to-Business-and-Economics
# Lecture (part 1)
# Lecture (part 2)
.Independent tasks (questions) to THEME 3
WATCH VIDEO of Practice 2 (10.10.2024) (GOOGLE-DISK)
.INDEPENDENT WORK and practice 3 (Straight line on a plane)
CLASS WORK (Straight line on a plane) (10.10.2024)
HOMEWORK 3 (10.10.2024) (1 point)
INDEPENDENT WORK + CLASS WORK 3 (10.10.2024) (1 point)
GUIDELINES
GUIDELINES(STRAIGHT LINE)
Practice_Vectors
Practice
Practice
Practice
Independent work (STRAIGHT LINE)
OCTAVE ONLINE
OCTAVE (GUIDELINES) / VECTORS
INDEPENDENT WORK (VECTORS)
LABORATORY STUDY (OCTAVE+NOTES)
Presentation of theme 4
WATCH VIDEO of Lecture 5 (02.10.2024) (GOOGLE-DISK)
Lecture of theme 4
..Independent tasks (questions) to THEME 4
WATCH VIDEO Mathematics for Business and Economics: Percent and Percentage Change
PERCENT in MATH and ECONOMICS
Question 2 (UKRAINIAN)
OCTAVE ONLINE
Laboratory work 4 (EXAMPLE)
INDEPENDENT WORK to Laboratory work 4
WATCH VIDEO of Laboratory work 3 (17.10.2024) (GOOGLE-DISK)
LABORATORY WORK 4 (2 points) (17.10.2024)
Laba (OCTAVE)
Applications-of-derivatives-to-business and economic problems
Presentation of Theme 5 (part 1)
Presentation of Theme 5 (part 2)
WATCH VIDEO of Lecture 6 (09.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 7 (16.10.2024) (GOOGLE-DISK)
.Independent tasks (questions) to THEME 5
Lecture of theme 5
Guidelines Limits
GUIDELINES_EXAMPLES
Practice_Limits_continuity
Practice
Practice_limits
LABORATORY WORK (LIMITS) (EXAMPLES)
INDEPENDENT WORK (TASKS)
How to find limits (fast and easy)
The Second Remarkable Limit
How to Find the Limit at Infinity
FINDING LIMITS ALGEBRAICALLY - CALCULUS
Limits of Trigonometric Functions
Table of derivatives of elementary functions
Table of derivatives of composite functions
Calculus - How to find the derivative of a function using the power rule
The Product Rule for Derivatives
Quotient Rule For Derivatives
Increasing and Decreasing Functions - Calculus
Concavity, Inflection Points, Increasing Decreasing, First & Second Derivative - Calculus
Understanding Limits and L'Hospital's Rule
Guidelines_Differential calculus
GUIDELINES
Practice (DERIVATIVES)
Guidelines
Practice
Practice(DERIVATIVES, TASKS)
INDEPENDENT WORK (TASKS)
OCTAVE ONLINE
Laba (OCTAVE)
LABORATORY STUDY (EXAMPLE)
WATCH VIDEO of Practice 3 (24.10.2024) (GOOGLE-DISK)
TEST (PERCENT + LIMITS) (1 point) (24.10.2024)
TEST (DERIVATIVES) (1 point) (24.10.2024)
Application of function of two variable in economic problems
Application of definite integrals to economic problems
Presentation of Theme 6 (part 1)
Presentation of Theme 6 (part 2)
Presentation of Theme 6 (part 3)
WATCH VIDEO of Lecture 7 (16.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 8 (23.10.2024) (GOOGLE-DISK)
Lecture of theme 6
Lecture of theme 7 (part 1)
Lecture of theme 7 (part 2)
.Independent tasks (questions) to THEME 6
Test ONLINE
Extremum of function of two variables ( watch EXAMPLE 2)
Relative extrema of functions of several variables
Guidelines_Func_of_sev_var
Practice_FSV
Octave ONLINE
GRAPHS and SURFACES in OCTAVE
Laba (OCTAVE)
Guidelines to INDEFINITE INTEGRALS
Guidelines to DEFINITE INTEGRALS
Practice
Practice
Practice
Practice (AREAS+VOLUMES)
Independent work (TASKS) (IND_INTEGRALS)
Octave ONLINE
Laba (OCTAVE)
TEST ONLINE
TEST ONLINE
FREE TEST ONLINE (TEST 1)
FREE TEST ONLINE (TEST 2)
VIDEO 2
VIDEO 3
Laba (OCTAVE)
WATCH VIDEO of Laboratory work 4 (31.10.2024) (GOOGLE-DISK)
INDEPENDET TASKS for LABORATORY WORK 6
GUIDELINES to LABORATORY WORK of topic 6 (EXAMPLE)
LABORATORY WORK 6 (31.10.2024) (2 points)
COLLOQUIUM 1 (7 points)
EXAMPLE of WRITTEN TEST 1
PART 1 of WRITTEN TEST 1 (2 points)
PART 2 of WRITTEN TEST 1 (7 points)
FORCE MAJEURE (ФОРСМАЖОР) of WRITTEN TEST 1
Presentation of Theme 7 (part 1)
Presentation of Theme 7 (part 2)
WATCH VIDEO of Lecture 8 (23.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 9 (30.10.2024) (GOOGLE-DISK)
Questions to theme 7_1
Questions to theme 7_2
Practice 7
INDEPENDENT TASKS for PRACTICE of TOPIC 7
WATCH VIDEO of Practice 4 (07.11.2024) (GOOGLE-DISK)
INDEPENDENT WORK (HOMEWORK) of TOPIC 7 (07.11.2024) (2 points)
Presentation of Theme 8 (part 1)
Presentation of Theme 8 (part 2)
WATCH VIDEO of Lecture 9 (30.10.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 10 (06.11.2024) (GOOGLE-DISK)
Questions to THEME 8_1
Practice (theme 8_1)
Practice (theme 8_2)
INDEPENDENT TASKS for LABORATORY WORK 8
GUIDELINES to LABORATORY WORK of topic 8 (EXAMPLE)
WATCH VIDEO of Laboratory work 5 (14.11.2024) (GOOGLE-DISK)
EXCEL-file for LABORATORY WORK 8
LABORATORY WORK of TOPIC 8 (14.11.2024) (2 points)
TABLE
Continuation to laboratory work 8
Presentation of Theme 9 (part 1)
Presentation of Theme 9 (part 2)
WATCH VIDEO of Lecture 10 (06.11.2024) (GOOGLE-DISK)
WATCH VIDEO of Lecture 11 (13.11.2024)
Questions to THEME 9
Practice (theme 9_1)
WATCH VIDEO of Practice 5 (21.11.2024) (GOOGLE-DISK)
GUIDELINES to to LABORATORY WORK (DSS)
Independent tasks (DSS)
Excel-file to LABORATORY WORK (DSS) (sample)
LABORATORY WORK of TOPIC 9 (DSS) (21.11.2024) (1 point)
Guidelines to theme CRV
GUIDELINES to LABORATORY WORK (CSS)
Independent tasks (CSS)
Excel-file to LABORATORY WORK (CSS) (sample)
LABORATORY WORK of TOPIC 9 (CSS) (21.11.2024) (1 point)
Presentation of Theme 10 (part 1)
Presentation of Theme 10 (part 2)
WATCH VIDEO of Lecture 12 (20.11.2024)
Questions to THEME 10
Practice (theme 10_1) (CORRELATION)
Guidelines to practice of theme 10_1
TASKS for THE LABORATORY WORK
Practice (theme 10_2) (REGRESSION)
Guidelines to the independent work (pair regression)
Presentation of Theme 11
WATCH VIDEO (12.12.2024)
Practice of theme 11
Theme_11_Game theory (CLASS WORK)
Laboratory study (GUIDELINES) / EXAMPLE
GUIDELINES
Solving the EXAMPLE in EXCEL (with explanations)
INDEPENDENT WORK (TASKS)
COLLOQUIUM 2 (7 points)
WATCH VIDEO of Practice 6 (05.12.2024) (GOOGLE-DISK)
PREPARATION for WRITTEN TEST 2 (05.12.2024) (1 point)
PREPARATION for WRITTEN TEST 2
WRITTEN TEST 2 (9 points)
INDEPENDENT CREATIVE TASK (6 points)
WATCH VIDEO of Laboratory work 6 (12.12.2024)
INDEPENDENT CREATIVE TASK (1 point)
CREATE YOUR ACCOUNT of UDEMY
UDEMY (the 1st choice)
UDEMY (the 2nd choice)
UDEMY (the 3rd choice)
UDEMY (the 4th choice)
Consultation for EXAM
PREPARATION for OUR EXAM
E X A M ПЕРЕСКЛАДАННЯ (21.01.2025 at 10:00 - 22.01.2025 at 10:00 )
Forcemajor / Форс мажор // ЕКЗАМЕН (06.01.2025) (graphs)
CONSULTATION for STUDENTS on THURSDAYS (class 5, 15:50-17:25) ►