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Mathematics II


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 :
Departament of Mathematical Modelling
The code of the module:
9394
The module status:
mandatory for teaching programme
The position in the studies teaching programme:
sem: 2 / W30 C30 / 4 ECTS / E
The language of the lecture:
Polish
The name of the coordinator:
Andrzej Włoch, DSc, PhD
semester 2:
Myroslav Kutniv, DSc, PhD
semester 2:
Bohdan Datsko, DSc, PhD

The aim of studying and bibliography

The main aim of study:
The use of mathematical methods in the description of physical phenomena, technology use mathematical methods.

The general information about the module:

Bibliography required to complete the module
Bibliography used during lectures
1 B. Gdowski, E. Pluciński Zadania z rachunku wektorowego i geometrii analitycznej PWN, Warszawa. 1981
2 Jurlewicz T., Skoczylas Z. Algebra liniowa 1, Definicje, twierdzenia, wzory. Oficyna Wydawnicza GiS, Wrocław. 2008
Bibliography used during classes/laboratories/others
1 T. Jurlewicz, Z. Skoczylas Algebra liniowa 1. Przykłady i zadania Oficyna Wydawnicza GiS, Wrocław, . 2008
2 Krysicki W., Włodarski L. Analiza matematyczna w zadaniach I PWN. 2004
3 Krysicki W., Włodarski L. Analiza matematyczna w zadaniach II PWN. 2004

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 of mathematics that allows to understand the mathematical concepts taught.

Basic requirements in category skills:
Skills to solve math problems at the basic level in math matriculation exam.

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 PRK
MEK01 can perform mathematical operations in a set of complex numbers, can set roots of complex polynomials lectures, classes test, written examination K-W01++
K-U03+
P6S-UO
P6S-UW
P6S-WG
P6S-WK
MEK02 can do mathematical operations with matrices, calculate determinants and ranks of matrices, can solve systems of linear equations lectures, classes test, written examinationon K-W01+++
K-U03+++
P6S-UO
P6S-UW
P6S-WG
P6S-WK
MEK03 can do operations on vectors, can solve problems concerns relative positions of lines and planes in space lectures, classes test, written examination K-W01+
K-K01++
P6S-KO
P6S-UU
P6S-WG
P6S-WK
MEK04 can solve elementary first order ordinary differential equations lectures, classes test, written examination K-W01+++
K-U09++
K-K01++
P6S-KO
P6S-UO
P6S-UU
P6S-WG
P6S-WK

The syllabus of the module

Sem. TK The content realized in MEK
2 TK01 Complex numbers, complex polynomials. W01, W02, W03, C01, C02, C03, C04 MEK01
2 TK02 Matrices: operations with matrices, determinants of matrices, inverse matrices, ranks of matrices. W06, W07, W08, C07, C08, C09 MEK02
2 TK03 Solving of systems of linear equations: Cramer's theorem, theorem of Cronecker-Capelli. W09, W10, W11, C10, C11, C12 MEK02
2 TK04 Analytic geometry in the space: vectors, the scalar product of vectors, the vector product of vectors, the triple product of vectors, equations of lines and fields. W12, W13, W14, W15, C13, C14, C15 MEK03
2 TK05 - W04, W05, C05, C06 MEK04

The student's effort

The type of classes The work before classes The participation in classes The work after classes
Lecture (sem. 2) The preparation for a test: 5.00 hours/sem.
contact hours: 30.00 hours/sem.
Studying the recommended bibliography: 3.00 hours/sem.
Class (sem. 2) The preparation for a Class: 15.00 hours/sem.
The preparation for a test: 5.00 hours/sem.
contact hours: 30.00 hours/sem.
Finishing/Studying tasks: 10.00 hours/sem.
Advice (sem. 2)
Exam (sem. 2) The preparation for an Exam: 20.00 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