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: Engineering and data analysis
The area of study: 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: engineer
The name of the module department : Departament of Discrete Mathematics
The code of the module: 12292
The module status: mandatory for teaching programme
The position in the studies teaching programme: sem: 1 / W30 C30 L15 / 5 ECTS / E
The language of the lecture: Polish
The name of the coordinator: Małgorzata Wołowiec-Musiał, PhD
office hours of the coordinator: wtorek 10:30-12:00, środa 10:30-12:00
semester 1: Adrian Michalski, PhD
semester 1: Paweł Bednarz, PhD
semester 1: Natalia Paja, PhD
The main aim of study: The aim of the course is to familiarize students with the basics of linear algebra and analytic geometry.
The general information about the module: The module consists of 30 hours of lectures, 30 hours of classes and 15 hours of laboratories. It ends with an exam.
1 | T. Jurlewicz, Z. Skoczylas | Algebra i geometria analityczna. Definicje, twierdzenia, wzory | Oficyna Wydawnicza GiS, Wrocław. | 2014. |
2 | M. Zakrzewski | Markowe wykłady z matematyki. Algebra z geometrią | Oficyna Wydawnicza GiS, Wrocław. | 2015. |
1 | T. Jurlewicz, Z. Skoczylas | Algebra i geometria analityczna. Przykłady i zadania | Oficyna Wydawnicza GiS, Wrocław. | 2008. |
2 | J. Stankiewicz, K.Wilczek | Algebra z geometrią. Teoria, przykłady, zadania | Oficyna Wydawnicza PRz, Rzeszów. | 2006. |
3 | P.N. de Souza, R.J. Fateman, J. Moses, C. Yapp | The Maxima Book | http://maxima.sourceforge.net. |
1 | M. Gewert, Z, Skoczylas | Algebra i geometria analityczna. Kolokwia i egzaminy | Oficyna Wydawnicza GiS, Wrocław. | 2009. |
2 | T. Świrszcz | Algebra liniowa z geometrią | Oficyna Wydawnicza Politechniki Warszawskiej, Warszawa. | 2012. |
Formal requirements: The student satisfies the formal requirements set out in the study regulations.
Basic requirements in category knowledge: basic knowledge of mathematics at the high school level
Basic requirements in category skills: ability to use basic mathematical tools at the high school level
Basic requirements in category social competences: preparation for taking substantively justified mathematical actions to solve the posed problem
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 make operations on complex numbers and can find roots of complex polynomials | lecture, class, laboratory | written test, written exam |
K_W01+ K_U01++ |
P6S_UW P6S_WG |
02 | can make matrix operations and calculate the determinant and the rank of a matrix | lecture, class, laboratory | written test, written exam |
K_W01+ K_U01++ |
P6S_UW P6S_WG |
03 | can solve systems of linear equations using matrix algebra | lecture, class, laboratory | written test, written exam |
K_W01+ K_U01++ K_K02+ |
P6S_KK P6S_KO P6S_UW P6S_WG |
04 | can describe lines and planes in space and recognize conic curves by its equations | lecture, class, laboratory | written test, written exam |
K_W01+ K_U01++ K_K01+ |
P6S_KK P6S_UW P6S_WG |
05 | can make in CAS Maxima calculations on complex numbers, matrices, and solve systems of linear equations, can draw conic curves in 2D and lines and planes in 3D | laboratory | practical test on a computer |
K_W02+ K_U01++ K_K01+ |
P6S_KK P6S_UW P6S_WG |
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).
Sem. | TK | The content | realized in | MEK |
---|---|---|---|---|
1 | TK01 | W1-W6, C1-C4, L1-L3 | MEK01 MEK05 | |
1 | TK02 | W7-W10, C5-C8, L4-L6 | MEK01 MEK05 | |
1 | TK03 | W11-W16, C9-C12, L7-L8 | MEK02 MEK05 | |
1 | TK04 | W17-W20, C13-C16 L9-10 | MEK03 MEK05 | |
1 | TK05 | W21-W26, C17-C22, L11-L12 | MEK04 MEK05 | |
1 | TK06 | W27-W30, C23-C26, L13-14 | MEK04 MEK05 | |
1 | TK07 | C27-C30, L15 | MEK01 MEK02 MEK03 MEK04 MEK05 |
The type of classes | The work before classes | The participation in classes | The work after classes |
---|---|---|---|
Lecture (sem. 1) | contact hours:
30.00 hours/sem. |
complementing/reading through notes:
3.00 hours/sem. Studying the recommended bibliography: 7.00 hours/sem. |
|
Class (sem. 1) | The preparation for a Class:
2.00 hours/sem. The preparation for a test: 8.00 hours/sem. |
contact hours:
30.00 hours/sem. |
Finishing/Studying tasks:
10.00 hours/sem. |
Laboratory (sem. 1) | The preparation for a Laboratory:
2.00 hours/sem. The preparation for a test: 3.00 hours/sem. |
contact hours:
15.00 hours/sem. |
Finishing/Making the report:
5.00 hours/sem. |
Advice (sem. 1) | The preparation for Advice:
1.00 hours/sem. |
The participation in Advice:
2.00 hours/sem. |
|
Exam (sem. 1) | The preparation for an Exam:
10.00 hours/sem. |
The written exam:
2.00 hours/sem. |
The type of classes | The way of giving the final grade |
---|---|
Lecture | A credit for the lecture is based on the written exam. |
Class | A credit for the class is based on at least two written tests involving module outcomes realized during the class. Student's activity during the class can raise the grade. |
Laboratory | A credit for the laboratory is based on the practical test on a computer. |
The final grade | The final grade is the arythmetic mean of grades of the class, the laboratory and the exam (rounded to the obligatory scale). |
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
1 | U. Bednarz; M. Wołowiec-Musiał | Generalized Fibonacci–Leonardo numbers | 2024 |
2 | U. Bednarz; A. Włoch; M. Wołowiec-Musiał | New Types of Distance Padovan Sequences via Decomposition Technique | 2022 |
3 | U. Bednarz; M. Wołowiec-Musiał | Distance Fibonacci Polynomials—Part II | 2021 |
4 | U. Bednarz; M. Wołowiec-Musiał | Distance Fibonacci Polynomials | 2020 |
5 | U. Bednarz; M. Wołowiec-Musiał | On a new generalization of telephone numbers | 2019 |