SYLLABUS
COURSE TITLE
FACULTY/INSTITUTE
COURSE CODE
DEGREE PROGRAMME
FIELD OF STUDY
MATHEMATICS
COURSE FORMAT
YEAR AND SEMESTER
NAME OF THE TEACHER
HISTORY OF APPLICATIONS OF MATHEMATICS IN
ECONOMICS
FACULTY OF MATHEMATICS AND NATURAL
SCIENCES
DEGREE LEVEL
FORMA
MODE
STUDIÓW/STUDY
SECOND DEGREE
Full-Time
SPECIALIZATION
YEAR II, SEMESTER I or SEMESTER II
STANISŁAW DOMORADZKI DR HAB.
COURSE OBJECTIVES
1.
2.
3.
4.
Acquainting with main trends of development of mathematics.
Presentation of the huge impact of mathematics on the development of culture.
Acquainting with practical applications.
Emphasizing, that today's society is not able to function without the knowledge of
mathematics.
PREREQUISITES
LEARNING OUTCOMES
Knowledge of the branches of mathematics at the studies of the I
degree, elements of functional analysis, differential equations
KNOWLEDGE:
- can name the important civilizations and periods favorable
to the development of mathematics as a science;
- can point out the similarities in the use of mathematics
yesterday and today;
- can emphasize the development of mathematics with the
development of society, with its needs
SKILLS:
-notices the role of history of mathematics in the acquiring and
understanding of mathematical concepts;
-gives historical problems of economics, which uses mathematical
models
and
other
procedures
for
their
solution;
-able to point out similar problems in physics, biology, chemistry,
geography
FINAL COURSE OUTPUT - SOCIAL COMPETENCES
Social competence:
 notices that the history of mathematics allows discussion of
mathematicians
with
specialists
in
other
fields;

has
reinforced
a
sense
of
their
value;
is proud of the world achievements of Polish mathematicians in
applications of mathematics.
COURSE ORGANISATION –LEARNING FORMAT AND NUMBER OF HOURS
Lectures, seminars and Individual meeting with the teacher – 30 hours
COURSE DESCRIPTION
A. Issues of the lectures
Course contents
Discussion of issues of the lectures. About the
foundations of mathematics for economists.
Mathematics - our imperceptible culture.
School of Thales. Sure knowledge. Pythagoreans.
The origins of deduction. Euclid’s Elements
Non-European mathematics,
mathematics of
Antiquities and Middle Ages. Gerbert. Universities
Logarithms. Mile step in the calculus. The
beginning the analysis. Newton, Leibniz, Huygens.
Bernoulli family.
Mathematics as a tool to explain economic
phenomena.
Mathematical models of social and economic
interaction. Models of Warlas and Pareto. The work
of John von Neumann.
Mathematician will do it better - about Polish
school of applied mathematics H. Steinhaus.
Breaking the Enigma code. Cryptography. The
importance of cryptography today.
Statistical analysis of experimental data in historical
depiction
Total hours
Number of hours
1
1
2
2
2
2
2
1
1
1
15
B. Issues of seminars
Number of hours
Course contents
What did arithmetic give us?
What did algebra give us?
What did trigonometry give us?
What did coordinates give us?
Teoria liczb i zastosowania.
Differential calculus and applications
What did non-Euclidean geometry give us?
Topology and its applications in the social sciences
H. Dionizy Steinhaus founder of the Polish school
of applied mathematics.
Mathematics in Poland during the Second Polish
Republic in the context of applications.
Total hours
METHODS OF INSTRUCTION
REQUIREMENTS AND ASSESSMENTS
GRADING SYSTEM
TOTAL STUDENT WORKLOAD
NEEDED TO ACHIEVE EXPECTED
LEARNING OUTCOMES EXPRESSED
IN TIME AND ECTS CREDIT POINTS
LANGUAGE OF INSTRUCTION
1
1
1
1
2
2
1
2
2
2
15
The lecture with a multimedia presentation, the use of
sections of videos. Solving tasks. Individual work.
The lecture with a multimedia presentation, the use of
sections of videos.
GRADING SCORE – 3.0 FOR 50 - 60%, 3.5 FOR 61 - 70
%, 4.0 FOR 71 – 80%, 4.5 FOR 81 – 90%, 5.0 FOR 91 –
100 %
50 HOURS - 2 ECTS
ENGLISH
INTERNSHIP
MATERIALS
NOT APPLICABLE
PRIMARY OR REQUIRED BOOKS/READINGS:
DIRK JAN STRUIK , A CONCISE HISTORY OF MATHEMATICS,
1987.
ed. J. Dauben, Ch. J. Scriba, Writing the History of
Mathematics its Historical Development, Birkhäuser,
Basel, Boston, Berlin, 2002
SUPPLEMENTAL OR OPTIONAL BOOKS/READINGS:
Stanisław Domoradzki, The Growth of Mathematical
Culture in the Lvov area in the Autonomy period (18701920), Matfyzpress, Prague 2011.
Martina Becvarova, Christa Binder, Mathematics in the
Austrian-Hungarian Empire (proceedings of the Symposium
held in Budapest on August 1, 2009 during the XXIII ICHST
History of Mathematics, volume 41, Prague 2010
Stanisław Domoradzki, Z. Pawlikowska – Brożek, Vilnius
between the wars, Mathematical Intelligencer, 22(2000), s.
47 – 50.
ENIGMA MACHINE, FROM WIKIPEDIA, THE FREE
ENCYCLOPEDIA.