Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Actuarial Mathematics (17.D0M34L)

Type of studies	Title
Doctoral Academic Studies	Mathematics in Engineering (Year: 1, Semester: Summer)

General information:

Category	Scientific-professional
Scientific or art field	Teorijska i primenjena matematika
ECTS	10

Developing the ability of abstract thinking and acquiring fundamental knowledge in the field of actuarial mathematics. The aim of this course is to develop a special way of thinking by using principles of the actuarial mathematics. The knowledge they gain is a basis for a better understanding other professional courses and for a successful continuation in studies.

The students are capable of independent scientific work. The acquired knowledge can be used in solving practical problems in financial and actuarial mathematics. Knowledge they have acquired, students learn to apply methods gained on this course and to choose algorithms for solving future problems in professional field.

Non-life insurance mathematics: Utility theory and insurance. Individual and Collective risk models. Premium principles and risk measures. Ordering of risks and comonotonic risks. Copulas and non-linear integrals and their applications in insurance problems. Life insurance mathematics: Term insurance premium. The insurance of capital, annual insurance premium, two lives insurance. Study and research work includes monitoring of adequate scientific literature.

Lectures. Consultations. The lectures are organized as dynamic and interactive. The presentation of the theoretical part during the lecture classes is followed by the characteristic examples which contribute to better understanding of the subject matter. In addition to lectures there are regular consultations. Students can take partial examinations during the course in the following two modules: Module 1: Non-life insurance mathematics, Module 2: Life insurance mathematics. Through research and study work the student will, on the bases of scientific journals and other relevant literature that has been studied independently, develop further understanding of the material covered in lectures. Working with the course teacher the student develops the ability to independently work on a scientific paper.

Authors	Title	Year	Publisher	Language
R. Kaas, M. Goovaerts, J. Dhaene, M. Denuit<\eng>	Modern Actuarial Risk Theory<\eng>	2009	Springer<\eng>	English
N. Bowers et al.<\eng>	Actuarial Mathematics<\eng>	1997	Society of Actuaries<\eng>	English
R. B. Nelsen<\eng>	An introduction to Copulas<\eng>	2004	Springer<\eng>	English