Факультет фізики, математики та інформатики

Faculty of Physics, Mathematics and Informatics

6.040201 Mathematics * *(EN)

Areas of Knowledge 0402 Physical - Mathematical Sciences

The training course 6.040201 Mathematics *

Qualification awarded:
teacher of mathematics.
Level of qualification:
bachelor's degree (first cycle higher education).
Special requirements for admission:
no, enrollment is conducted on the general conditions of entry.

Special regulations about recognition of prior studying (formal, informal, unofficial):
no.

Programmer profile

Bachelor's degree, mathematics teacher should have the knowledge and skills necessary for organizing the educational process in general educational institutions of I-II eves. He must understand the patterns of socio-political and economic development of Ukraine in the international community to realize their professional and social role in the reprocesses. High graduate training is in the perfect knowledge of the chosen subject, the ability to constant work to improve the professional level, the ability to positively influence the intellectual, spiritual and emotional students.
The total training program - 240 ECTS credits.

Key learning outcomes

1. Knowledge of subject sphere:

- possession of methods of mathematical analysis (complex analysis), linear algebra, algebra and number theory, analytic geometry, differential geometry, probability theory and mathematical statistics, methods of approximation of functions;

- the choice of rational algorithms, methods and ways of solving mathematical problems;

- mathematical methods of analysis and description of processes and systems;

- analytical studies of mathematical models of objects and processes in terms of existence and uniqueness of the solution;

- development of mathematical models as systems of integro-differential equations;

- using information technology to solve mathematical problems and educational activities;

- knowledge of modern technologies of software development and software implementation of numerical algorithms;

- knowledge of modern approaches to the training sessions (lessons in math, algebra and geometry of different types.);

- technology of educational activities;

- development and use of teaching tools;

- conduct psycho-pedagogical and methodological research, design their results;

- planning (design) educational work.

2. Cognitive abilities and skills in the subject sphere:

- fundamentals of general disciplines required to address educational, scientific and methodological, organizational and managerial tasks;

- disciplines cycle of social and humanitarian training: sociology of education foundation business and economics education;

- courses Cycle Science Training: Selected Issues of higher mathematics (mathematical analysis, algebra and geometry, basic science, numerical methods, probability theory and mathematical statistics, mathematical logic);

- methods of teaching mathematics, methods of upbringing (including the method of the class teacher, Guidance counselor, educational work in preschool institutions, career guidance) innovation and ICT training;

- the history of mathematics in the system of natural-scientific knowledge;

- the relationship of mathematics with other sciences and their role in accelerating the pace of scientific and technological progress, the history of the great inventions and discoveries in the field of technology related to the use of mathematical laws;

- the impact of theoretical knowledge in mathematics to changes in technology and the restructuring of production cycles;

- the content and principles of secondary education in mathematics, school curricula and textbooks;

- formation of student groups and teachers guide them;

- requirements for equipment and machinery classrooms and ancillary facilities;

- means of learning and their teaching capabilities;

- key trends and prospects of development of secondary education and teaching of science in Ukraine;

- principles and techniques of collecting, organizing, summarizing and using information, research and technical work in the specialty, training information and scientific and methodological materials.

3. Practical skills in the subject sphere:

- solve the problem of school mathematics;

- solve various mathematical problems with rational algorithms, methods and ways;

- apply the knowledge gained in solving pedagogical, educational, scientific and methodological problems including age and individual-typological differences of students, social and educational situations;

- conduct training and educational work, to determine the extent and depth of learning by students of program material, to impart them skills self-updating knowledge and conduct experiments to identify natural laws;

- use various methods and forms of education, progressive leadership training methods, labor, social, sporting and artistic and creative activities of students;

- use teaching and laboratory equipment, technology training and modern computer facilities;

- promote students in scientific understanding of natural phenomena and processes to develop their interest in learning mathematics and science are sumizh;

- organize individual sessions with students for complicated programs;

- select and interpret educational material to address, in knitted hardware classrooms and ancillary facilities; collect demo installation, design and produce mathematical models, use visual aids;

- carry out labor, moral and aesthetic education of students;

- analyze, summarize and disseminate best teaching experience; systematically improve their professional qualifications;

- have reasonable methods search, selection and use of information in the literature focus on profiling and related sciences;

- carry out research and methodological activities;

- practice using knowledge of scientific management and safety.

4. General abilities and skills:

- using the main achievements of the Ukrainian and world culture, able to analyze past and present achievements of culture, issues and trends in Ukraine and world community;

- using knowledge of psychology, foundations of economic theory have the means of modern management, taking into account features of interpersonal relations in the workplace;

- communication skills, including oral and written communication in the Ukrainian language and at least one of the common European languages;

- skills of interaction with others, ability to work in groups;

- the ability to apply acquired knowledge in practice;

- the ability to self-learning and continuing professional development;

- the ability of individual activities and effective time management.

Professional profile of graduates with examples.

BA should have a high level of training, possess broad erudition and culture.
BA must be of high civil and moral character, responsible and creative attitude to the assigned work. Bachelor should combine broad fundamental scientific and practical training, perfect their own specialty, continuously replenish their knowledge, expand social and political outlook, be able to practice the principles of scientific organization of labor have advanced methods of labor collectives.

Access to further education:

bachelor's degree, prepared for continuing education program specialist and masters.
Regulations on the examination, evaluation and assessment
Regulations on the organization of educational process in Uman State Pedagogical University named Paul Ticino.

Requirements for state certification

1. Final state attestation made in the form of public examination in mathematics and methods of teaching mathematics. State exam is intended to clarify the level of preparedness of graduates for professional tasks, provided the appropriate standards of higher education and continuing education.

2. Procedure for application and state examination determined institution of higher education based on guidelines of the Ministry of Education, Youth and Sports of Ukraine.
3. State exam is conducted as a comprehensive test of knowledge and skills of graduates from disciplines in the curriculum. Assessed quality of graduates of the common tasks.

Graduation requirements:

Complete curriculum volume of 240 credits successfully compiled state exam in mathematics and methods of teaching mathematics.

Form of teaching:

full-time (day)
The Director of the Programmer or the assigned official:
Kipnis Leonid Abramovich - doctor, professor of physics and mathematics.

Structural and logical scheme disciplines

Training direction: 6.040201 MATH

Code module

Subjects

Compulsory subjects

ІУ_6_ОНД.02_4 Ukraine History and Culture of Ukraine
ФС_6_ОНД.04_3 Political science and social science
ВМ та МНМ_6_ОНД.18_7 Analytical Geometry
ВФВ_6_ОНД. 10_3 Developmental Physiology, School Hygiene
ВМ та МНМ_6_ОНД. 14_5 Differential Equations
ВМ та МНМ_6_ОНД. 17_

Basic Mathematics

ІІКТ_6_ОНД.12_3

ICT training

ПІМ_6_ОНД. 05_9

Foreign language (English, German, French)

СП, СР та ІП_6_ОНД. 08_3

History of Education

ВМ та МНМ_6_ОНД. 15_5

Analysis

ВМ та МНМ_6_ОНД.19_7

Linear Algebra

ВМ та МНМ_6_ОНД. 20_19 Calculus
ВМ та МНМ_6_ОНД. 16_9 Methods of teaching mathematics
ТТД, ОП та БЖД_6_ОНД. 11_4 Fundamentals of Oron and Labor and Social Safety
ІІКТ_6_ОНД. 07_6 Pedagogics
П_6_ОНД. 06_6 Psychology
ПМ_6_ОНД. 01_4 The Ukrainian language (for professional purposes).
УЛ, У та МН_6_ОНД. 09_3
Ukrainoznavstvo
ТМФМ_6_ОНД. 13_4 Physical education
ФС_6_ОНД. 03_4 Philosophy

Disciplines faculty selection

ІІКТ_6_ДВФ. 06_8,5 Computer Science
ВМ та МНМ_6_ДВФ. 04_6 Algebra and Number Theory
ВМ та МНМ_6_ДВФ. 05_5 Differential Geometry and Topology
ХЕ_6_ДВФ.01_3 Fundamentals of Ecology
ФАМВ_6_ДВФ. 07_6 General Physics
ВМ та МНМ_6_ДВФ. 02_4 Bases of geometry
ВМ та МНМ_6_ДВФ. 03_5 Theory Probability and Mathematical Statistics

Specialization "Physics"

ІІКТ_6_ДВС. 11_3 Mathematical logic and theory of algorithms
ФАМВ_6_ДВС. 03_7 Theoretical physics
ФАМВ_6_ДВС. 01_8.5 Method of teaching physics
ФАМВ_6_ДВС. 05_3.5
Astronomy
ВМ та МНМ_6_ДВС. 10_3.5
Discrete Mathematics
ФАМВ_6_ДВС. 02_8
General Physics
ФАМВ_6_ДВС. 04_4
Mathematical Methods of Physics
ВМ та МНМ_6_ДВС. 08_3
Calculation methods
ВМ та МНМ_6_ДВС.12_3 Fundamentals of vector and tensor analysis
ВМ та МНМ_6_ДВС. 13_3 Practice solving mathematical problems of non-standard
ВМ та МНМ_6_ДВС. 07_3.5 Projective geometry and methods of image
ВМ та МНМ_06_14_3 Methods of organizing extracurricular work
ФАМВ_6_ ДВС. 06 _ 3
Fundamentals of General Astronomy
ВМ та МНМ_06_09_4 Numerical system

Specialization "Information"

ІІКТ_6_ДВС. 02_5 Computer Architecture and its basic Software
ІІКТ_6_ДВС. 04_5
Computer simulation
ІІКТ_6_ДВС. 11_3 Mathematical logic and theory of algorithms
ВМ та МНМ_6_ДВС. 10_3.5 Discrete Mathematics
ІІКТ_6_ДВС. 05_4 INFORMATION SYSTEMS
ВМ та МНМ_6_ДВС. 08_3 Calculation methods
ІІКТ_6_ДВС. 01_9 Methods of teaching computer science
ІІКТ_6_ДВС. 03_8 Languages of programming
ВМ та МНМ_6_ДВС.12_3 Fundamentals of vector and tensor analysis
ВМ та МНМ_6_ДВС. 13_3 Practice solving mathematical problems of non-standard
ВМ та МНМ_6_ДВС. 07_3.5 Projective geometry and methods of image
ВМ та МНМ_06_14_3 Methods of organizing extracurricular work
ФАМВ_6_ ДВС. 06 _ 3 Fundamentals of General Astronomy
ВМ та МНМ_06_09_4 Numerical system
   

 

 

 

 

 

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