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
01	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
02	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
03	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
04	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

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	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