### General

### Program Description

The objective of the bachelor's curriculum is to provide students with the mathematical language and terminology, the technique of mathematical proof, mathematical methods, description by use of mathematical models of applied type problems and an independent development of these models in theoretical or/and applied framework, as well as the evaluation skills.

## Programme Prerequisites

The applicant is admitted in compliance with the Georgian Legislation. At the same time, students in foreign language must have passed the English language.

## Programme Description

The programme follows the ECTS system, 1 credit equals to 27 hours, which includes the contact hours, as well as the hours of independent work. The distribution of hours is presented in the educational plan. The duration of the programme is 4 years (8 semesters) and it contains 240 credits.

The annual learning process: (21-21 weeks of two semesters) is distributed as follows: VII and XIV weeks are devoted to intermediate exams; i.e. the learning process and two intermediate estimates will be realized during 17 weeks (I-XVII weeks). From XVIII week till to XXI week (included) are devoted to exams (the basic and additional exams).

The first, second and third annual learning process: during the semester a student learns six subjects, each of them contains 5 credits, which in semester gives 30 credits, in the academic year is 60 credits and in sum gives in whole 180 credits.

In the first semester of the fourth year, student takes six subjects each of them with five credits, in sum gives 30 credits. In the second semester, student can choose six classes from free components again each subject with five credit hours that in sum gives 30 credits.

## Learning Outcome/Competencies

**Knowledge and understanding**

The main outcome is knowledge in modern branches of mathematics. Especially in probability theory, statistics, financial mathematics, actuary mathematics, modern algebra, geometry, topology, theoretical physics.

- Perception of the basic concepts and principles of Mathematics;
- Wide theoretical knowledge of the sphere of Mathematics and perception of the complex problems of relevant directions;
- Critical estimation of current achievements and novelties in the sphere of Mathematics;
- Perception of mutual links between basic spheres of Mathematics;
- Knowledge of the terminology of Mathematics.

**Applying knowledge**

Students will be able to use mathematics in applied sciences and practical issues, such as computer sciences, engineering, physics, applied statistics etc.

- Critical perception of theoretical statements and principles of Mathematics;
- The ability of construction of logical argument and of clear mathematical statement of the problem;
- Application of the theoretical knowledge to the practical problems;
- Skills of definition of the relevant time scopes in order to reach the stated goals.

**Making judgments**

Retrieval, collection, and analysis of the information relevant to the topics and problems of different spheres of Mathematics, making reliable conclusions by use of standard, or original in some cases, methods.

- Ability of identification and of understanding of the problems arising in different directions of mathematics, elaboration, and analysis of related information and making relevant conclusions;
- Ability to make relevant conclusions for the practical mathematical problems based on the acquired theoretical knowledge.

**Communication skills**

The programme will develop the ability to present scientific information in oral or written form.

- Skills of application of information-communication technological resources in order to reach the working goals;
- Argument discussion about theoretical and applied problems of Mathematics;
- Skills of presentations and compiling the written information;
- Public presentation, defend and clear documentation of own considerations;
- Skills of laconic and plainly writing about professional problems.

**Learning skills**

The large variety of mathematical courses of the programme definitely will develop learning skills of students.

- Identify areas of self-learning in order to enrich the professional knowledge and experience in Mathematics.
- Search, analy, is and interpretation of information on current developments.
- Continuous and multilateral estimation of own studying process in order to enrich the knowledge and experience, self-estimation the of necessity of refreshing of the knowledge and statement the of necessity of continuity of studying at the second level (master degree).
- In order to enrich the knowledge and experience in the sphere of Mathematics the skills of revealing and perception the modern materials and reception of continuous education.

**Values**

Students become familiar with the meaning and importance of such fundamental notions as: the truth, correct argumentation, proof, contradiction in mathematics, logic etc.

- Defend of accepted ethical and worth norms;
- Defend of accepted moral norms;
- Skills of participation in the process of formation of worth, conscience norms and aspiration of their establishment.
- Defend of professional worth (exactness, punctuality, objectivity, transparency, organization etc.) in the sphere of mathematics.

## Forms and Methods of achieving the learning outcomes

Lecture

Seminar (working in the group)

Practice

Laboratory Work

Field Work

Consultation

Independent Work

**Collaborative work. ** Learning by using this method means a division of students into groups and giving to each group its question to study. The members of each group investigate the question separately and simultaneously discuss their conclusions with other members of the group. Depending on the discussed questions during the working process it is possible to re-distribute the functions between the members of the group. This strategy ensures the maximal participation of each student in the learning process.

**Practical methods** include all forms of learning which develop the abilities of practical work of the students. In this case a student independently performs one or another action on the basis of the obtained knowledge; for example, pedagogical and industrial practice, field work etc.

**Written work method** includes the following actions: to make written copies, abstracts, summaries or surveys from the considered material, etc.

**Verbal or oral method** includes lectures, conversations, etc. During this process the lecturer verbally explains the needed material, while the students memorize it.

**Problem based learning method (PBL) ** as a first stage of the process of acquiring knowledge and of integration uses a concrete problem.

**Heuristic method** is based on the step by step solution of the posed task. This process is accomplished by means of detecting independently the facts and obtaining connections between them during the study.

## Spheres of Employment

Graduates of mathematical major can work in higher education bodies, research centers, banks and corporations, financial sector, state-military and healthcare structures, insurance agency, private institutions and organizations working in the fields of information technology and telecommunications.

*Last updated Dec 2017*

### Keystone Scholarship

### About the School

Georgian Technical University (GTU) is one of the biggest educational and scientific institutions in Georgia. The university’s main focus is to improve its position on the international higher educati ... Read More