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 Discrete Mathematics
The code of the module: 1485
The module status: mandatory for teaching programme Applications of Mathematics in Computer Science, Applications of Mathematics in Economics
The position in the studies teaching programme: sem: 2 / W30 C30 / 5 ECTS / E
The language of the lecture: Polish
The name of the coordinator: Lucyna Trojnar-Spelina, PhD
The main aim of study: The aim of the course is to familiarize students with the basic concepts of mathematical analysis, such as multiple integral, line integral, surface integral and their applications and to familiarize with the theory of field..
The general information about the module: The module consists of 30 hours of lectures and 30 hours of exercises, ends with an exam.
1 | F. Leja | Rachunek różniczkowy i całkowy | PWN, Warszawa. | 1976 |
2 | G. M. Fichtenholz | Rachunek różniczkowy i całkowy | PWN, Warszawa. | 2004 |
3 | W. Rudin | Podstawy analizy matematycznej | PWN, Warszawa. | 1982 |
1 | G.Berman | Zbiór zadań z analizy matematycznej | Pracownia Komputerowa Jacka Skalmierskiego, Gliwice. | 2000 |
2 | W.Stankiewicz, J.Wójtowicz | Zadania z matematyki dla wyższych uczelni technicznych cz.2 | PWN, Warszawa. | 1978 |
1 | W.Krysicki, L.Włodarski | Analiza matematyczna w zadaniach cz.2 | PWN, Warszawa. | 2000 |
2 | J.Stankiewicz, K.Wilczek | Rachunek różniczkowy i całkowy funkcji wielu zmiennych | Oficyna Wydawnicza PRz, Rzeszów. | 2005 |
Formal requirements: student has completed undergraduate degree in mathematics.
Basic requirements in category knowledge: Differential calculus of functions of several variables, partial derivatives, indefinite integrals.
Basic requirements in category skills: student can calculate limits of functions, indefinite and definite integrals
Basic requirements in category social competences: Ability of individual and group learning, awaresness of the level of own knowledge
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 | Student can calculate the double integrals and the triple integrals . | lectures, solving classes | test |
K_W01+ K_W02+ K_W03+ K_W04+ K_W07+ K_U04+ K_U05++ K_U17+ K_K04+ K_K07+ |
X2A_W02 X2A_W03 X2A_U01 X2A_U02 X2A_U03 X2A_U04 X2A_U06 X2A_K03 X2A_K04 X2A_K06 |
02 | Student can calculate the curve integrals of a scalar and vector field. | lectures, solving classes | test |
K_W01+ K_W03+ K_W04+ K_W05+ K_U05++ K_U13+ K_K04+ |
X2A_W02 X2A_U01 X2A_U02 X2A_U05 X2A_K03 X2A_K04 |
03 | Student knows the basis of the field theory. He can calculate the potential of the field in simply examples. | lecture, solving classes | test, written exam |
K_W01++ K_W02+ K_W03+ K_W05+ K_U03+ K_U04+ K_U05+ K_U14+ K_K04+ |
X2A_W02 X2A_W03 X2A_U01 X2A_U02 X2A_U03 X2A_K03 X2A_K04 |
04 | student can calculate the surface integral in simply examples | lecture, solving classes | test, written exam |
K_W01+ K_W03+ K_W05+ K_U01+ K_U02+ K_U05+ K_U08+ K_U15+ K_K01+ K_K02+ K_K04+ |
X2A_W02 X2A_U01 X2A_U02 X2A_U03 X2A_U05 X2A_U06 X2A_U07 X2A_U08 X2A_U09 X2A_K01 X2A_K02 X2A_K03 X2A_K04 |
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 - W05, C01-C05 | MEK01 | |
2 | TK02 | W06 - W09, C06-C09 | MEK01 MEK02 | |
2 | TK03 | W10 - W11, C10-C11 | MEK02 MEK03 | |
2 | TK04 | W12 - W15, C12-C15 | MEK01 MEK04 |
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: 8.00 hours/sem. |
|
Class (sem. 2) | The preparation for a Class:
10.00 hours/sem. The preparation for a test: 12.00 hours/sem. |
contact hours:
30.00 hours/sem. |
Finishing/Studying tasks:
15.00 hours/sem. |
Advice (sem. 2) | The preparation for Advice:
2.00 hours/sem. |
The participation in Advice:
1.00 hours/sem. |
|
Exam (sem. 2) | The preparation for an Exam:
10.00 hours/sem. |
The written exam:
2.00 hours/sem. |
The type of classes | The way of giving the final grade |
---|---|
Lecture | Written exam (checking MEK03 and MEK04). Exam only after the credit of classes. |
Class | Two written tests (checking MEK01 and MEK02) and activity during classes. |
The final grade | The final grade is the average of grade of classes and grade of the exam. |
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