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Mathematics of modern technologies
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Summary of the Profile
General Description:
Objective(s) of a study programme:
to develop applied mathematics specialists with abstract logical thinking skills and broad erudition, who are independent, willing, and able to absorb innovation; specialists, who will be able not only to apply, but also develop new high-tech-based products and services, by applying mathematics in various spheres of life.
Learning outcomes:
Z1. Will know, understand and apply the fundamental concepts of mathematics and computer science.
Z2.Will be able to transform the acquired knowledge of mathematics and modern information technologies, apply it by analyzing and modeling various processes, and will be able to identify new relationships.
GV1 Will be able to spot interdisciplinary relationships and look at the problem as a whole, analyze the problems independently, analyze and assess the properties of mathematical models, as well as the overall suitability of those models, and will understand the necessity and rigor of mathematical proof.
GV2 Will be able to collect and analyze data, apply their various review algorithms, offer new technological solutions, develop new mathematical models and improve the existing ones.
SG1 Will be able to operate abstract concepts, think mathematically, describe tasks in a mathematical way (using mathematical formulas), and will be able to create computer programs designed for analysis.
SG2 Will be able to manage and process large data streams, apply the right algorithms and technologies.
SG3 Will be able to structure the steps involved in solving a problem, understand the codes of different computer programs and create new ones.
CG1 Will be able to pass the mathematical text, formulas and information to professionals and the general public using the correct language (Lithuanian and foreign), will be able to cooperate effectively with colleagues and work safely in the electronic space.
CG2 Will be able to use the information properly and ethically, without divulging it, critically evaluate their own activities and those of others, and will be able to take responsibility for the decisions made.
AG1. Will seek permanent professional development, analyze mathematical literature, and will be able to plan and organize their activities.
AG2 Will be able to communicate correctly, solve assigned tasks in a creative way, will understand the need for professional growth, and will appreciate the importance of lifelong learning.
Activities of teaching and learning:
1. Theory lectures (traditional and deliverd using interactive medium and modern information technologies).
2. Practice (practical classes with academic groups: the lecturer explains the problem-solving methodology and examples, the students solve the problems by themselves and on the blackboard, discussion of results and general discussion is possible).
3. Laboratory work (held in computer classes, equipped with required software (Maple, MatLab and other); students can also complete the assignments on their own using personal computers; certain laboratory work assignments can be completed in groups).
4. Gathering and analysing information (the student searches for information, related to the topic provided by the lecturer in literature and other information sources, e.g. software, statistical data and so on).
5. Independent reading and analysis of literature (the student studies literature and other information sources, provided by the lecturer).
6. Homework (the student completes assignments given by the lecturer during classes, e.g. solves problems).
7. Individual written assignments (the student receives a version of an individual assignments set to solve during the semester).
8. Consultations (group and individual).
9. Case study (research, course paper, project; possible group projects).
10. Preparation for examinations, colloquium exams, laboratory work defence, presentation of conducted research, etc.
11. Preparation of academic work report (for course work, laboratory work, etc.).
Methods of assessment of learning achievements:
1. Examination (session, early exam, midterm). A decimal evaluation scale is used according to VGTU studies protocol. Evaluation formula is listed in the course module card.
2. Test (independent solving of practical problems in the classroom).
3. Colloquium exam (can be treated as an interim exam; not only practical assignments, but also a test of theoretical knowledge is scheduled).
4. Preparation of academic work report (for yearly papers, laboratory work, etc.).
5. Defence (the student orally explains the process of the conducted research to the lecturer).
6. Evaluation of the public delivery (presentation) of the research.
Framework:
Study subjects (modules), practical training:
Study subjects (modules), practical training:
Field of study courses comprise 165 credits.
The program provides professional practices (15 cr.). Studies are finished with the preparation and defense of final thesis (18 cr.)
Study program subjects are: linear algebra and geometry, differential calculus, introduction to discrete mathematics, integral calculus, probability theory, differential equations and their applications, discrete mathematics, mathematics software, mathematical economics primers, special sections of mathematical analysis, algorithms changing world, applied statistics, numerical methods, applied algebra, mathematical models around us, dynamical systems and chaos, actuarial mathematics, artificial intelligence and knowledge systems, complex project, applied optimization methods.
Specialisations:
unforeseen
Optional courses:
There is possibility to choose subjects from several alternatives in four semesters. These choices consist of 12 credits. As well as students may choose one from several general university subjects (3 cr.). The study program includes two free elective subjects with a total of 6 credits.
Distinctive features of a study programme:
deep knowledge of mathematics and logical analytical thinking, wide horizons and acquaintance with very different products and the ability to apply that knowledge in various fields to transform the search for new technological solutions, creating new services and products required in different areas, forecasting and assessment of the market situation.
Access to professional activity or further study:
Access to professional activity:
graduates will have a job opportunity in companies working with digital products, Big Data, creating modern technologies. They will be able to work in other areas that require mathematical education, logical thinking and analytical skills.
Access to further study:
have completed an undergraduate degree in applied mathematics will be able to continue their studies in postgraduate programs, providing special education in mathematics, statistics and informatics. Modern technologies mathematics curriculum ensures the proper preparation of students for such studies both in Lithuania and abroad.
