Cycle of education: 2018/2019
The name of the faculty organization unit: The faculty Mathematics and Applied Physics
The name of the field of study: Mathematics
The area of study: sciences
The profile of studing:
The level of study: second degree study
Type of study: full time
discipline specialities : Applications of Mathematics in Computer Science, Applications of Mathematics in Economics
The degree after graduating from university:
The name of the module department : Departament of Mathematical Modelling
The code of the module: 1495
The module status: mandatory for teaching programme with the posibility of choice Applications of Mathematics in Economics
The position in the studies teaching programme: sem: 2 / W30 / 2 ECTS / Z
The language of the lecture: Polish
The name of the coordinator: Bohdan Datsko, DSc, PhD
office hours of the coordinator: Pon. 17.15-18.45, Wt. 14.30-16.00, TEAMS
The main aim of study: Introduction to the basics of mathematical modeling and selected sections of numerical methods.
The general information about the module: The subject matter of the classes chosen by students. In the second semester, 30 hours of lectures are realized.
Teaching materials: podane na stronie https://wojciechjablonski.v.prz.edu.pl/
1 | A. Witecek, L.Cedro, R. Farana | Modelowanie matematyczne. Podstawy. | Pol. Swiętokrzyska, Kielce, . | 2010 |
2 | M.Holodniok, M.Kubiczek | Metody analizy nelinearnich dynamickich modelu | Academia, Praha. | 1986 |
3 | U. Foryś | Modelowanie matematyczne w biologii i medycynie | Uniwersytet Warszawski. | 2011 |
4 | S.J.Farlow | Partial differential equations for Scientists and Engineers | Wiley, Inc.. | 1982 |
5 | Lawrence C. Evans | Równania różniczkowe cząstkowe | PWN Warszawa. | 2002 |
6 | P. Strzelecki | Krótkie wprowadzenie do równań różniczkowych cząstkowych. | PWN Warszawa. | 2006 |
7 | A. Turowicz | Teoria macierzy | Uczel. Wyd. Nauk.-Dydakt. Kraków. | 2005 |
1 | H. Guściowa, M. Sadowska | Repetytorium z algebry liniowej | PWN Warszawa 1977. | |
2 | J. Klukowski, I. Nabiałek | Algebra dla studentów | PWN Warszawa. | 1999 |
3 | A. I. Kostrykin | Zbiór zadań z algebry | PWN Warszawa. | 1995 |
4 | I. Nabiałek | Zadania z algebry liniowej | WNT Warszawa. | 2006 |
5 | J. Rutkowski | Algebra liniowa w zadaniach | PWN Warszawa. | 2012 |
Formal requirements:
Basic requirements in category knowledge: Mastering the basics of mathematical analysis, matrix calculus, differential equations and computational packages.
Basic requirements in category skills: Passing courses in mathematical analysis 1,2, linear algebra, differential equations, and computational packages.
Basic requirements in category social competences: ability to acquire knowledge, ability to work in a group
MEK | The student who completed the module | Types of classes / teaching methods leading to achieving a given outcome of teaching | Methods of verifying every mentioned outcome of teaching | Relationships with KEK | Relationships with OEK |
---|---|---|---|---|---|
01 | The student has knowledge concerning algebraic structures (group, ring, field, linear space, algebra) and can apply it in problems and exercises. | lecture | written test |
K_W01+ K_W02++ K_W03++ K_W04++ K_U01++ K_K02+ K_K04+ K_K07+ |
X2A_W01 X2A_W03 X2A_W06 X2A_U01 X2A_U02 X2A_U05 X2A_K01 X2A_K02 X2A_K03 X2A_K04 X2A_K06 |
02 | The Student is familiar with advanced concepts and tools of linear algebra (algebra of operators, dual space, invariant subspace and eigenvector, Jordan canonical form) and can apply it in problems and exercises. | lecture | written test |
K_W01+ K_W02+ K_W03+ K_W04++ K_W05++ K_W07++ K_U01+ K_U02++ K_U03+ K_K01+ |
X2A_W01 X2A_W02 X2A_W03 X2A_W06 X2A_U01 X2A_U02 X2A_U03 X2A_U05 X2A_U07 X2A_K01 |
Attention: Depending on the epidemic situation, verification of the achieved learning outcomes specified in the study program, in particular credits and examinations at the end of specific classes, can be implemented remotely (real-time meetings).
Sem. | TK | The content | realized in | MEK |
---|---|---|---|---|
2 | TK01 | W01-W03 | MEK01 | |
2 | TK02 | W04-W07 | MEK02 | |
2 | TK03 | W7-W10 | MEK02 | |
2 | TK04 | W11-W15 | MEK01 MEK02 |
The type of classes | The work before classes | The participation in classes | The work after classes |
---|---|---|---|
Lecture (sem. 2) | contact hours:
30.00 hours/sem. |
complementing/reading through notes:
5.00 hours/sem. Studying the recommended bibliography: 10.00 hours/sem. |
|
Advice (sem. 2) | The preparation for Advice:
1.00 hours/sem. |
The participation in Advice:
2.00 hours/sem. |
|
Credit (sem. 2) | The preparation for a Credit:
10.00 hours/sem. |
The written credit:
2.00 hours/sem. |
The type of classes | The way of giving the final grade |
---|---|
Lecture | the execution of problems proposed after lectures and the positive evaluation of written test |
The final grade | The final grade is based on the sum of points scored for solved during the semester problems, exercises and a written test. |
Required during the exam/when receiving the credit
(-)
Realized during classes/laboratories/projects
(-)
Others
(-)
Can a student use any teaching aids during the exam/when receiving the credit : no