Mathematics in industry

2022/2023
Programme:
Financial Mathematics, Second cycle
Year:
1 ali 2 year
Semester:
first or second
Kind:
optional
Group:
O
ECTS:
6
Language:
slovenian, english
Hours per week – 1. or 2. semester:
Lectures
0
Seminar
2
Tutorial
0
Lab
0
Content (Syllabus outline)

Identification real world problems.
Mathematical modeling.
Numerical methods.
Comparison between a model solution and real problem.
Report writing.

Readings

E. Zakrajšek: Matematično modeliranje, DMFA-založništvo, Ljubljana, 2004.
Capasso, Mathematics in Industry, Book series: Mathematics in Industry, Springer.
C. Dym, Principles of Mathematical Modeling, Academic Press, 2004.
S. Howison: Practical Applied Mathematics: Modelling, Analysis, Approximation, Cambridge Univ. Press, Cambridge, 2005.
M. S. Klamkin: Mathematical Modelling : Classroom Notes in Applied Mathematics, SIAM, Philadelphia, 1987.

Objectives and competences

The aim of the course is to foster collaboration between mathematiciants and non-mathematiciants by solving problems from real world. The competences are: to promote communication with possible users of mathematical methods, to promote team work, to extend academic examples to a real world problems, to acquire some knowledge of mathematical software, summarazing, to educate Industrial Mathematicians to meet the growing demand for such experts.

Intended learning outcomes

Knowledge and understanding:
Knowledge how to communicate with users of mathematical methods, ability to rationally formulate problems, knowledge of mathematical modeling.
Application:
Solving real word problems. Cross breeding with users of mathematical methods.
Reflection:
Reflection of own understanding of mathematical knowledge by solving problems from a real world. Critical assesment of differences between theoretical and practical principles.
Transferable skills:
How to use knowledge bases, how to collect and interpret data, collaboration with experts from different areas, team work, how to present results, how to write reports.

Learning and teaching methods

Project working, field work, consultations, individual study, presentations.

Assessment

Type (examination, oral, coursework, project):
Project
Project presentation
Grading: 1-5 (fail), 6-10 (pass) (according to the Statute of UL)

Lecturer's references

George Mejak:
MEJAK, George. On extension of functions with zero trace on a part of boundary. Journal of mathematical analysis and applications, ISSN 0022-247X. [Print ed.], 1993, let. 175, str. 305-314. [COBISS-SI-ID 5828441]
MEJAK, George. Finite element solution of a model free surface problem by the optimal shape design approach. International journal for numerical methods in engineering, ISSN 0029-5981. [Print ed.], 1997, vol. 40, str. 1525-1550. [COBISS-SI-ID 9983833]
MEJAK, George. Eshebly tensors for a finite spherical domain with an axisymmetric inclusion. European journal of mechanics. A, Solids, ISSN 0997-7538. [Print ed.], 2011, vol. 30, iss. 4, str. 477-490. [COBISS-SI-ID 16025177]