COURSE UNITDESCRIPTION
Course unit title / CodeFundamentals of Scientific Research. Problems ofProbability Theory and Number Theory / MM23FSR1
Lecturer(s) / Department where the course unit is delivered
Coordinator: prof. habil. dr. AntanasLaurinčikas
Other(s): - / Faculty of Mathematics and Informatics
Department of Probability Theory and Number Theory
Naugarduko St. 24, LT-03225 Vilnius, Lithuania
Study cycle / Type of the course unit
Second / Optional
Mode of delivery / Period when the course unit is delivered / Language of instruction
face-to-face
/ 2nd year,semester 3 / Lithuanian
Requirements for students
Prerequisites:
none / Additional requirements (if any):
none
Course volume in credits / Total student’s workload / Contact hours / Self-study hours
6 / 160 / 48 / 112
Purpose of the course unit: programme competences to be developed
The aim of the course is to learn how to present investigation results in modern mathematical language and methods as well as to prepare the Master’s Thesis.
Learning outcomes of the course unit / Teaching and learning methods / Assessment methods
To think abstractly for solving various problems and decide whether existing methods are applicable. / Regular presentations of research results integrating new results, discussion,
individual reading of scientific literature in chosen field of investigation, consultation / Exam (in word) of presentations
To apply critical thinking skills to solve problems that can be modelled mathematically.
Generate and clearly communicate mathematical ideas, research ideas in appropriate contexts both orally and in writing, to a range of audiences, integrate knowledge and skills.
To use pure mathematical or applied methods to understand some aspects of the frontiers of mathematical knowledge.
To search scientific literature and do ethical citation. / Instruction of ethical norms for scientific work and literature citation.
Content: breakdown of the topics / Contact hours / Self-study work: time and assignments
Lectures / Tutorials / Seminars / Exercises / Laboratory work / Internship/work placement / Contact hours / Self-study hours / Assignments
1. Preparation and presentation of research results in modern mathematical language both orally and writing. / 10 / 10 / 20 / 50 / Introduction to requirements [1,2]; regularly preparing, correcting and improving presentation of obtained research results, graphs, tables, structure of presentation (if needed); discussion on students investigating research problems and methods; other practical aspects.
2. Survey of scientific literature and recent results, related to investigating problems. / 5 / 5 / 10 / 50 / Student individually do the survey and present new scientific results during presentations.
3. LaTex and other popular systems for presentation of scientific results. / 5 / 5 / 10 / 10 / Studying [2,3] and chosen scientific literature examples.
4. Ethical norms in scientific work, literature citation. / 4 / 4 / 8 / 2 / Analysis of information [4,5], studying examples
Total / 24 / 24 / 48 / 112
Assessment strategy / Weight,% / Deadline / Assessment criteria
Exam of presentations / 100 / Second part of semester / The mark of Exam equals to evaluation of presentations, made by students during the seminars. Quality (3 points), comprehensiveness (3 points) and presentation (4 points) are evaluated.
Author / Year of publication / Title / Issue of a periodical
or volume of a publication / Publishing place and house
or web link
Compulsary reading
1. Vice-Rector of Vilnius University / 2015 / Commandment
No. R-446 (2015-11-17)
Baigiamųjų darbų rengimo, gynimo ir saugojimo tvarka /
2.P. Drungilas / Recommendations and requirements for coursework bachelor and master thesis /
vyzdys.zip
3.Helmut Kopka,
Patrick W. Daly / 2004 / A Guide to LaTeX and Electroning Publishing / 4th edition /
4. David B. Resnik, J.D. / 2015 / What is Ethics in Research & Why is it Important? /
5. European Mathematical Society / Code to Practice /
Optional reading
Ethics in Mathematics Research /