Economic-Mathematical Modeling in Land Management and Cadastre
Description: The course is aimed at the study of economic and statistical models in cadastral, land management and evaluation works and studies, elements of mathematical statistics, laws of distribution, construction of dispersion, correlation models based on the analysis of indicators of land use for the purposes of rational and efficient use of land.
Amount of credits: 5
Пререквизиты:
- Mathematics
Course Workload:
| Types of classes | hours |
|---|---|
| Lectures | 15 |
| Practical works | 30 |
| Laboratory works | |
| SAWTG (Student Autonomous Work under Teacher Guidance) | 30 |
| SAW (Student autonomous work) | 75 |
| Form of final control | Exam |
| Final assessment method | Exam |
Component: Component by selection
Cycle: Base disciplines
Goal
- Undergraduates receive the basics of knowledge in the field of construction and application of economic and mathematical models and objects of cadastre, land management. Deepening of theoretical knowledge in the field of mathematical modeling and analysis. The basis of standard models used in various fields of cadastre and land management.
Objective
- - To teach undergraduates to apply economic and mathematical models in the cadastre in economic and mathematical calculations, to give knowledge about the methodology of construction and application of models in land management.
Learning outcome: knowledge and understanding
- The ability to master the main methods, methods and means of obtaining, storing, processing information, the willingness to use computer technology as a means of working with information.
Learning outcome: applying knowledge and understanding
- The ability to master the main methods, methods and means of obtaining, storing, processing information, the willingness to use computer technology as a means of working with information.
Learning outcome: formation of judgments
- Must be able to make models and model land management processes and cadastral works.
Learning outcome: communicative abilities
- Ability to perform organizational and managerial functions in a team.
Learning outcome: learning skills or learning abilities
- The ability to search for and choose innovative solutions using research methods based on the study of scientific and technical information, domestic and foreign experience in land use.
Teaching methods
Use of interactive lectures (lectures in the form of slides, guided (guided) discussion, conversation with the audience). - Information and communication technologies (conducting practical classes in computer classrooms). - Search and research (independent research work of a master's student).
Assessment of the student's knowledge
Teacher oversees various tasks related to ongoing assessment and determines students' current performance twice during each academic period. Ratings 1 and 2 are formulated based on the outcomes of this ongoing assessment. The student's learning achievements are assessed using a 100-point scale, and the final grades P1 and P2 are calculated as the average of their ongoing performance evaluations. The teacher evaluates the student's work throughout the academic period in alignment with the assignment submission schedule for the discipline. The assessment system may incorporate a mix of written and oral, group and individual formats.
| Period | Type of task | Total |
|---|---|---|
| 1 rating | Checking the lecture notes and individual oral questioning | 0-100 |
| Practical tasks | ||
| Written paper | ||
| Testing | ||
| 2 rating | Checking the lecture notes and individual oral questioning | 0-100 |
| Practical tasks | ||
| Written paper | ||
| Total control | Exam | 0-100 |
The evaluating policy of learning outcomes by work type
| Type of task | 90-100 | 70-89 | 50-69 | 0-49 |
|---|---|---|---|---|
| Excellent | Good | Satisfactory | Unsatisfactory | |
| Checking the lecture notes and individual oral questioning | demonstrates systematic theoretical knowledge, mastery of terminology, logically and consistently explains the essence of phenomena and processes, makes reasoned conclusions and generalisations, gives examples, demonstrates fluent mono-logical speech and the ability to respond quickly to clarifying questions | demonstrates solid theoretical knowledge, mastery of terminology, logically and consistently explains the essence of phenomena and processes, makes reasoned conclusions and generalisations, gives examples, demonstrates fluent monological speech, but at the same time makes minor errors, which are corrected independently or with minor correction by the teacher | demonstrates shallow theoretical knowledge, shows poorly formed skills of analysing phenomena and processes, insufficient ability to make reasoned conclusions and give examples, shows insufficient fluency in monological speech, terminology, logic and consistency of presentation, makes mistakes that can be corrected only when corrected by the teacher. | demonstrates systematic theoretical knowledge, mastery of terminology, logically and consistently explains the essence of phenomena and processes, makes reasoned conclusions and generalisations, gives examples, demonstrates fluent mono-logical speech and the ability to respond quickly to clarifying questions |
| Defence of practical tasks | has completed the practical work in full with observance of the necessary sequence of actions; in the answer correctly and accurately makes all notes, tables, figures, drawings, graphs, calculations; correctly analyses errors. When answering questions, correctly understands the essence of the question, gives a precise definition and interpretation of the main concepts; accompanies the answer with new examples, is able to apply knowledge in a new situation; can establish a connection between the studied and previously studied material, as well as with the material learnt during the study of other disciplines | fulfilled the requirements for assessment "5", but 2-3 shortcomings. The student's answer to the questions meets the basic requirements for the answer to 5, but is given without applying knowledge in a new situation, without using links with previously studied material and material learnt in the study of other disciplines, made one mistake or no more than two flaws, the student can correct them independently or with a little help | performed the work not completely, but not less than 50% of the practical work, which allows you to get the correct results and conclusions; during the work were made mistakes. When answering questions, the student correctly understands the essence of the question, but in the answer there are separate problems in mastering the issues of the course, not preventing further learning of the programme material; made no more than one gross error and two flaws. | has completed the practical work in full with observance of the necessary sequence of actions; in the answer correctly and accurately makes all notes, tables, figures, drawings, graphs, calculations; correctly analyses errors. When answering questions, correctly understands the essence of the question, gives a precise definition and interpretation of the main concepts; accompanies the answer with new examples, is able to apply knowledge in a new situation; can establish a connection between the studied and previously studied material, as well as with the material learnt during the study of other disciplines |
| Presentation, defence of the written paper | A complete and coherent picture of the topic at hand, including history on the topic, leading scientists, current thinking, methods and techniques to prevent adverse effects | The origin and problematics of the problem are not fully disclosed. In general, complete knowledge is demonstrated, possibly insufficiently systematised knowledge is demonstrated | Episodic, fragmentary knowledge, not systematised | A complete and coherent picture of the topic at hand, including history on the topic, leading scientists, current thinking, methods and techniques to prevent adverse effects |
| Testing | Corresponds to the scores on the questions answered (90-100) | Corresponds to the scores of the questions answered (70-89) | Corresponds to the scores of the questions answered (69-50) | Corresponds to the scores on the questions answered (90-100) |
| Final control (exam) | Demonstration of full mastery of the material by correct answers to 90-100 per cent of control tests or questions based on the content of theoretical material was evaluated in the number of points close to the maximum quality of knowledge. | Although the theoretical content of the course has been mastered completely, without gaps, some control tests or questions are completed with errors, the percentage of correct answers is 70-89 | The content of the theoretical material is partially mastered, there are gaps, the majority of training tasks stipulated by the curriculum are performed, in the performed tasks the correct answers can be in 50-69 per cent | Demonstration of full mastery of the material by correct answers to 90-100 per cent of control tests or questions based on the content of theoretical material was evaluated in the number of points close to the maximum quality of knowledge. |
Evaluation form
The student's final grade in the course is calculated on a 100 point grading scale, it includes:
- 40% of the examination result;
- 60% of current control result.
The final grade is calculated by the formula:
| FG = 0,6 | MT1+MT2 | +0,4E |
| 2 |
Where Midterm 1, Midterm 2are digital equivalents of the grades of Midterm 1 and 2;
E is a digital equivalent of the exam grade.
Final alphabetical grade and its equivalent in points:
The letter grading system for students' academic achievements, corresponding to the numerical equivalent on a four-point scale:
| Alphabetical grade | Numerical value | Points (%) | Traditional grade |
|---|---|---|---|
| A | 4.0 | 95-100 | Excellent |
| A- | 3.67 | 90-94 | |
| B+ | 3.33 | 85-89 | Good |
| B | 3.0 | 80-84 | |
| B- | 2.67 | 75-79 | |
| C+ | 2.33 | 70-74 | |
| C | 2.0 | 65-69 | Satisfactory |
| C- | 1.67 | 60-64 | |
| D+ | 1.33 | 55-59 | |
| D | 1.0 | 50-54 | |
| FX | 0.5 | 25-49 | Unsatisfactory |
| F | 0 | 0-24 |
Topics of lectures
- Topic 1
- Topic 2
- Topic 3
- Topic 4
- Topic 5
- Topic 6
- Topic 7
- Topic 8
- Topic 9
- Topic 10
- Topic 11
- Topic 12
- Topic 13
- Topic 14
- Topic 15
Key reading
- I-Liang Chern MATHEMATICAL MODELING AND ORDINARY DIFFERENTIAL EQUATIONS. Department of Mathematics National Taiwan University, 2015
- М.В. Кемаева. МАТЕМАТИЧЕСКИЕ МОДЕЛИ В ЭКОНОМИКЕ: Учебно-методическое пособие. – Нижний Новгород: Нижегородский госуниверситет, 2017. − 46 с.
- Mutanov, G. M. Mathematical Methods and Models in Economics / G. M. Mutanov. — 2-еdi. — Almaty:Daryn, 2023. — 391 c. — ISBN 978-601-247-254-7. — IPR SMART digital educational resource : [website]. - URL: https://www.iprbookshop.ru/135042.html (access date: 18.12.2023). - Access mode: for authorised users
Further reading
- Абчук В.А. Экономико-математические методы: Элементарная математика и логика. Методы исследований операций. СПб.: Союз,1999.
- Гмурман Г.Е. Теория вероятностей и математическая статистика. – М.: Высшая школа, 1970
- Volkov S.N. Land management. Economic and mathematical methods and models. Vol.4.- M.:Kolos, 2011.
