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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, DSc, 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
Bibliography used during lectures
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
Bibliography used during classes/laboratories/others
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
Bibliography to self-study
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
MEK01 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+
 W01+
W02+
W03+
U06++
MEK02 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+
 W01+
W03+
U06++
MEK03 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+
 W01+
W03+
U06++

The syllabus of the module

Sem. TK The content realized in MEK
3 TK01 Indefinite integral. Techniques (methods) for calculating the indefinite integrals of various classes of functions. W01-W06, C01-C03 MEK01 MEK02
3 TK02 Definite integral in the Riemann sense. The definition and its relationship with an indefinite integral. W07-W08, C04 MEK01
3 TK03 Application of the definite integral in geometry to calculate the areas of the plane regions and the volumes and the areas of the surfaces of the solids of revolution and the arc lengths of the curves. W09-W15, C04-C07 MEK01 MEK02 MEK03
3 TK04 Test based on the materials covered during lectures and tutorials. 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

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

The contents of the module are associated with the research profile no