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Calculus


Some basic information about the module

Cycle of education:
2012/2013
The name of the faculty organization unit:
The faculty Mathematics and Applied Physics
The name of the field of study:
Engineering Physics
The area of study:
technical sciences
The profile of studing:
The level of study:
first degree study
Type of study:
full time
discipline specialities :
Computer Aided Diagnostics, Ecology of Energy Transformations
The degree after graduating from university:
The name of the module department :
Department of Physics
The code of the module:
3007
The module status:
mandatory for teaching programme
The position in the studies teaching programme:
sem: 1 / C30 / 2 ECTS / Z
The language of the lecture:
Polish
The name of the coordinator:
Dorota Jakubczyk, PhD
office hours of the coordinator:
wtorek 12:00 - 13:30 czwartek 12:00 - 13:30

The aim of studying and bibliography

The main aim of study:
Acquire the skill of counting derivatives and integrals.

The general information about the module:
Calculus and some applications in physics.

Bibliography required to complete the module
Bibliography used during classes/laboratories/others
1 W Krysicki L Włodarski Analiza Matematyczna w zadaniach część I PWN Warszawa. 1986
2 Fichtenholz G. M. Rachunek różniczkowy i całkowy, tomy: I, II PWN, Warszawa. 1978
3 W. Stankiewicz Zadania z matematyki dla wyższych uczelni technicznych. Część A i B PWN, Warszawa . 2009
4 W.Żakowski, G. Decewicz Matematyka, część I WNT, Warszawa. 1991
5 K. Krop, K. Chłędowska Fizyka I Pracownia Oficyna Wydawnicza PRz. 2010
Bibliography to self-study
1 W. Krysicki, L. Włodarski Analiza Matematyczna w zadaniach, część I PWN, Warszawa. 1986
2 Fichtenholz G. M. Rachunek różniczkowy i całkowy, tomy: I, II PWN, Warszawa. 1978
3 W. Stankiewicz Zadania z matematyki dla wyższych uczelni technicznych. Część A i B PWN, Warszawa. 2009
4 W.Żakowski, G. Decewicz Matematyka, część I WNT, Warszawa. 1991
5 K. Krop, K. Chłędowska Fizyka I Pracownia Oficyna Wydawnicza PRz. 2010

Basic requirements in category knowledge/skills/social competences

Formal requirements:
Having a student's rights of Rzeszow University of Technology.

Basic requirements in category knowledge:
Knowledge of mathematics at the secondary level.

Basic requirements in category skills:
Ability to solve problems in mathematics at the secondary level.

Basic requirements in category social competences:
Student is aware of the importance of mathematics in social and professional life.

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 Students is able to calculate, on the examples discussed at classes, the derivative of the function using its definition. classes written test, oral credit, written credit K-U013+
U01+
InzA-U02+
U05+
MEK02 Students can apply the theorem of arithmetic on the derivatives. classes written test, oral credit, written credit K-U013+
U01+
InzA-U02+
U05+
MEK03 Students can calculate on the examples discussed at classes, the integral of the function of one variable. classes written test, oral credit, written credit K-U013++
U01+
InzA-U02+
U05+
MEK04 Student can explain the difference quotient definition and the geometric meaning of derivative in the context of functions of one variable. written test, oral credit, written credit K-W004+
K-W014+
K-W017+
T1A-W01+
W02+
W04+
W05+
MEK05 Student can explain the concept of integral functions of one variable . written test, oral credit, written credit K-W004+
K-W014++
K-W017+
T1A-W01+
W02+
W04+
W05+
MEK06 Student is aware of the importance of calculus in the process of acquiring knowledge of physics. written test, oral credit, written credit K-K005+
K01+
K03+

The syllabus of the module

Sem. TK The content realized in MEK
1 TK01 Derivatives of functions of the form y = f (x). Difference quotient. C01, C02, C03, C04, C05 MEK01 MEK02 MEK04 MEK06
1 TK02 Partial derivative. C06 MEK02 MEK06
1 TK03 Indefinite integrals. Techniques of integration: integration by substitution and integration by parts. C07, C08, C09, C10 MEK03 MEK05 MEK06
1 TK04 Integrals of rational functions. C11, C12 MEK03 MEK05 MEK06
1 TK05 Integrals of irrational functions. C13 MEK03 MEK05 MEK06
1 TK06 Definite integrals. Improper integrals. C14 MEK03 MEK05 MEK06

The student's effort

The type of classes The work before classes The participation in classes The work after classes
Class (sem. 1) The preparation for a Class: 8.00 hours/sem.
The preparation for a test: 4.00 hours/sem.
contact hours: 30.00 hours/sem.
Finishing/Studying tasks: 2.00 hours/sem.
Advice (sem. 1) The participation in Advice: 1.00 hours/sem.
Credit (sem. 1) The preparation for a Credit: 8.00 hours/sem.
The written credit: 1.00 hours/sem.
The oral credit: 0.50 hours/sem.

The way of giving the component module grades and the final grade

The type of classes The way of giving the final grade
Class The classes grade is an arithmetic average of the grades with written tests and oral answer.
The final grade

Sample problems

Required during the exam/when receiving the credit
Zestaw 2.pdf
Zestaw 3.pdf
Zestaw 1.pdf

Realized during classes/laboratories/projects
Zestaw 2.pdf
Zestaw 3.pdf
Zestaw 1.pdf

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