Monographic lecture I - Riemann integral
Some basic information about the module
Cycle of education: 2014/2015
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: first 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 : Department of Mathematics
The code of the module: 1072
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: 3 / W30 C15 / 3 ECTS / Z
The language of the lecture: Polish
The name of the coordinator: Prof. Józef Banaś, DSc, PhD
office hours of the coordinator: w terminach podanych w harmonogramie pracy jednostki.
semester 3: Agnieszka Wiśniowska-Wajnryb, PhD
The aim of studying and bibliography
The main aim of study:
The general information about the module: The module is implemented in the third semester. It consists of 30 hours of lectures and 15 hours of tutorials.
Bibliography required to complete the module
| 1 | G.M. Fichtenholz | Rachunek różniczkowy i całkowy, tom 2 | Wydawnictwo Naukowe PWN, Warszawa. | 2007 |
| 2 | J. Banaś | Podstawy matematyki dla ekonomistów | WNT, Warszawa. | 2007 |
| 3 | J. Banaś, S. Wędrychowicz | Zbiór zadań z analizy matematycznej | Wydawnictwo Naukowe PWN, Warszawa. | 2012 |
| 1 | J. Banaś | Podstawy matematyki dla ekonomistów | WNT, Warszawa. | 2007 |
| 2 | J. Banaś, S. Wędrychowicz | Zbiór zadań z analizy matematycznej | Wydawnictwo Naukowe PWN, Warszawa. | 2012 |
| 1 | J. Banaś | Podstawy matematyki dla ekonomistów | WNT, Warszawa. | 2007 |
| 2 | J. Banaś, S. Wędrychowicz | Zbiór zadań z analizy matematycznej | Wydawnictwo Naukowe PWN, Warszawa. | 2012 |
Basic requirements in category knowledge/skills/social competences
Formal requirements:
Basic requirements in category knowledge:
Basic requirements in category skills:
Basic requirements in category social competences:
Module outcomes
| 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 | knows basic concepts and definitions given during the course of lectures | lecture, tutorials | test |
K_W001+ K_W002+ K_W003+ K_W004+ K_W005+ K_W006+ K_U001+ |
X1A_W01+ X1A_W02+ X1A_W03+ X1A_U06++ |
| 02 | knows how to calculate the indefinite integrals of some classes of functions of real variable | lecture, tutorials | test |
K_W001+ K_W002+ K_W004+ K_U001+ |
X1A_W01+ X1A_W03+ X1A_U06++ |
| 03 | knows how to calculate the areas of the plane regions and the volumes of the solids of revolution | lecture, tutorials | test |
K_W001+ K_W002+ K_W004+ K_U001+ |
X1A_W01+ X1A_W03+ X1A_U06++ |
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).
The syllabus of the module
| Sem. | TK | The content | realized in | MEK |
|---|---|---|---|---|
| 3 | TK01 | W01-W06, C01-C03 | MEK01 MEK02 | |
| 3 | TK02 | W07-W08, C04 | MEK01 | |
| 3 | TK03 | W09-W15, C04-C07 | MEK01 MEK02 MEK03 | |
| 3 | TK04 | C08 | MEK01 MEK02 MEK03 |
The student's effort
| The type of classes | The work before classes | The participation in classes | The work after classes |
|---|---|---|---|
| Lecture (sem. 3) | contact hours:
30.00 hours/sem. |
complementing/reading through notes:
6.00 hours/sem. |
|
| Class (sem. 3) | The preparation for a Class:
15.00 hours/sem. The preparation for a test: 10.00 hours/sem. |
contact hours:
15.00 hours/sem. |
|
| Advice (sem. 3) | The preparation for Advice:
6.00 hours/sem. |
The participation in Advice:
3.00 hours/sem. |
|
| Credit (sem. 3) |
The way of giving the component module grades and the final grade
| The type of classes | The way of giving the final grade |
|---|---|
| Lecture | A credit for the lectures is based on attendance at the lectures. |
| Class | A credit for the tutorials is based on the result of test and oral answers. |
| The final grade | The final grade is a credit for the tutorials. |
Sample problems
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