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Mathematical Basis of Mechanics

Some basic information about the module

Cycle of education: 2019/2020

The name of the faculty organization unit: The faculty Mathematics and Applied Physics

The name of the field of study: Medical Engineering

The area of study: technical sciences

The profile of studing:

The level of study: first degree study

Type of study: full time

discipline specialities :

The degree after graduating from university: inżynier

The name of the module department : Department of Physics

The code of the module: 9387

The module status: mandatory for teaching programme

The position in the studies teaching programme: sem: 2 / W15 C30 / 3 ECTS / E

The language of the lecture: Polish

The name of the coordinator: Tomasz Masłowski, PhD

The aim of studying and bibliography

The main aim of study: The main aim of education is to present students with the basics of mathematical methods of technics.

The general information about the module:

Bibliography required to complete the module
Bibliography used during lectures
1 E. Karaśkiewicz Zarys teorii wektorów i tensorów PWN, Warszawa. 1974
2 T. Trajdos Matematyka cz. III WN-T, Warszawa. 1999
3 W. Żakowski, G. Decewicz Matematyka cz. I WN-T, Warszawa. 1991
4 Jan Awrejcewicz Matematyczne metody mechaniki Łódź : Wydaw.Politech.Łódź. 1995
5 Ryszard Buczkowski, Andrzej Banaszek Mechanika ogólna w ujęciu wektorowym i tensorowym : statyka : przykłady i zadania / Warszawa : Wydaw.Nauk.PWN. 2018
Bibliography used during classes/laboratories/others
1 E. Karaśkiewicz Zarys teorii wektorów i tensorów PWN, Warszawa. 1974
2 Ryszard Buczkowski, Andrzej Banaszek Mechanika ogólna w ujęciu wektorowym i tensorowym : statyka : przykłady i zadania / Warszawa : Wydaw.Nauk.PWN. 2018
Bibliography to self-study
1 E. Karaśkiewicz Zarys teorii wektorów i tensorów PWN, Warszawa. 1974

Basic requirements in category knowledge/skills/social competences

Formal requirements: The student satisfies the formal requirements set out in the study regulations

Basic requirements in category knowledge: Knowledge and understanding of the basic notions from algebra and analysis.

Basic requirements in category skills:

Basic requirements in category social competences: Understanding of the necessity of team work.

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 PRK
01 lecture, calculations exam, written passing K_W01++
K_U09+
P6S_UO
P6S_UU
P6S_WG
P6S_WK
02 lecture, calculations oral exam, written passing K_W01+
K_U01+
K_U09+
P6S_UO
P6S_UU
P6S_UW
P6S_WG
P6S_WK
03 lecture, exercises oral exam, written passing K_W01++
K_W05++
K_U04+
K_U05+
K_U09+
P6S_UK
P6S_UO
P6S_UU
P6S_UW
P6S_WG
P6S_WK
04 Student is able to work within many body group, that is take part in what group is doing, can determine its role in this work, can present the own outcomes within the group. exercises oral passing K_K01+
P6S_KO
P6S_UU

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
2 TK01 - W1, W2, C1, C2, C3 MEK01 MEK04
2 TK02 - W3, W4, C4, C5, C6, C7 MEK02 MEK04
2 TK03 Vectors analysis: differential calculus in the scalar and vector field. W5, W6, C8, C9, C10 MEK03 MEK04
2 TK04 Vectors analysis in curvilinear orthogonal bases. W7, W8, C11, C12, C13 MEK02 MEK04
2 TK05 - C14, C15 MEK02 MEK03 MEK04

The student's effort

The type of classes The work before classes The participation in classes The work after classes
Lecture (sem. 2) contact hours: 15.00 hours/sem.
complementing/reading through notes: 3.00 hours/sem.
Studying the recommended bibliography: 3.00 hours/sem.
Class (sem. 2) The preparation for a Class: 5.00 hours/sem.
The preparation for a test: 5.00 hours/sem.
contact hours: 30.00 hours/sem.
Finishing/Studying tasks: 15.00 hours/sem.
Advice (sem. 2)
Exam (sem. 2) The preparation for an Exam: 5.00 hours/sem.
The written exam: 2.00 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
Lecture
Class
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