The aim of studying and bibliography

The main aim of study: The aim of the course is to familiarize students with the English language in the field of higher mathematics.

The general information about the module: Basic English terminology in the field of the selected department of higher mathematics.

Bibliography required to complete the module

Bibliography used during classes/laboratories/others

1	D. Franklin Wright, Bill D. New	Essential Calculus with Applications	D. C. Heath and Company.	1992
2	A.D. Polyanin, A.V. Manzhirov	Handbook of mathematics for engineers and scientists	Boca Raton, Chapman a.Hall/CRC.	2007
3	Ronald J. Harshbarger, James J. Reynolds	Calculus with applications	D. C. Heath and Company.	1993

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: Student has achieved language skills for B2 level.

Basic requirements in category skills: Student has achieved language skills (listening and reading comprehension, interaction, writing) required for B2 level.

Basic requirements in category social competences: Student can work in pairs and groups in order to gain and pass on information and in order to solve problems.

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	Student know the basic English terminology in the field of higher mathematics	lecture	written test, oral answers	K_W01+ K_W10+ K_U36+ K_K01+ K_K06+	P6S_KK P6S_UK P6S_UO P6S_UU P6S_UW P6S_WG P6S_WK
02	Student can translate simple mathematical text into English	lecture	written test, oral aswers	K_W01+ K_W10+ K_U36+ K_K01+ K_K06+	P6S_KK P6S_UK P6S_UO P6S_UU P6S_UW P6S_WG P6S_WK
03	Student understands the simple mathematical text in English	lecture	written test, oral answers	K_W01+ K_W10+ K_U36+ K_K01+ K_K06+	P6S_KK P6S_UK P6S_UO P6S_UU P6S_UW 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
6	TK01	Elementary functions.	C1-C3	MEK01 MEK02 MEK03
6	TK02	Limit of a function. Asymptotes. Continuous functions.	C4-C5	MEK01 MEK02 MEK03
6	TK03	Sequences, series.	C6-C7	MEK01 MEK02 MEK03
6	TK04	Calculus.	C8-C11	MEK01 MEK02 MEK03
6	TK05	Integrals.	C12,C14,C15	MEK01 MEK02 MEK03
6	TK06	Test.	C13	MEK01 MEK02 MEK03

The student's effort

The type of classes	The work before classes	The participation in classes	The work after classes
Class (sem. 6)	The preparation for a Class: 10.00 hours/sem.	contact hours: 30.00 hours/sem.
Advice (sem. 6)
Credit (sem. 6)	The preparation for a Credit: 10.00 hours/sem.	The written credit: 2.00 hours/sem. Others: 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
Class	Written test, oral answer.
The final grade	The final grade is the arithmetic average of written test and oral answers.

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: yes

1	D. Bród	On Some Combinatorial Properties of Balancing Split Quaternions	2024
2	D. Bród; A. Szynal-Liana	On generalized bihyperbolic Mersenne numbers	2024
3	A. Kosiorowska; A. Michalski; I. Włoch	On minimum intersections of certain secondary dominating sets in graphs	2023
4	D. Bród; A. Szynal-Liana	A new hybrid generalization of Fibonacci and Fibonacci-Narayana polynomials	2023
5	D. Bród; A. Szynal-Liana	Generalized commutative Jacobsthal quaternions and some matrices	2023
6	D. Bród; A. Szynal-Liana	Jacobsthal numbers, Pell numbers, their generalizations and applications	2023
7	D. Bród; A. Szynal-Liana	On Bihypernomials Related to Balancing and Chebyshev Polynomials	2023
8	D. Bród; A. Szynal-Liana; I. Włoch	One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers	2023
9	D. Bród; A. Szynal-Liana; I. Włoch	One-parameter generalization of the bihyperbolic Jacobsthal numbers	2023
10	G. Bilgici; D. Bród	On r-Jacobsthal and r-Jacobsthal-Lucas Numbers	2023
11	D. Bród; A. Michalski	On Generalized Jacobsthal and Jacobsthal–Lucas Numbers	2022
12	D. Bród; A. Szynal-Liana	On a New Generalization of Jacobsthal Hybrid Numbers	2022
13	D. Bród; A. Szynal-Liana; I. Włoch	On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions	2022
14	D. Bród; A. Szynal-Liana; I. Włoch	One-parameter generalization of dual-hyperbolic Pell numbers	2022
15	D. Bród; A. Szynal-Liana; I. Włoch	Two generalizations of dual-complex Lucas-balancing numbers	2022
16	D. Bród; A. Szynal-Liana; I. Włoch	Two-parameter generalization of bihyperbolic Jacobsthal numbers	2022
17	M. Dettlaff; M. Lemańska; A. Michalski; I. Włoch	On proper(1,2)-dominating sets in graphs	2022
18	D. Bród	On balancing quaternions and Lucas-balancing quaternions	2021
19	D. Bród	On trees with unique locating kernels	2021
20	D. Bród; A. Szynal-Liana; I. Włoch	Balancing hybrid numbers, their properties and some identities	2021
21	D. Bród; A. Szynal-Liana; I. Włoch	Bihyperbolic numbers of the Fibonacci type and their idempotent representation	2021
22	D. Bród; A. Szynal-Liana; I. Włoch	On a new generalization of bihyperbolic Pell numbers	2021
23	D. Bród; A. Szynal-Liana; I. Włoch	On a new one-parameter generalization of dual-complex Jacobsthal numbers	2021
24	D. Bród; A. Szynal-Liana; I. Włoch	On a new two-parameter generalization of dual-hyperbolic Jacobsthal numbers	2021
25	D. Bród; A. Szynal-Liana; I. Włoch	On some combinatorial properties of bihyperbolic numbers of the Fibonacci type	2021
26	D. Bród; A. Włoch	(2,k)-Distance Fibonacci Polynomials	2021
27	P. Bednarz; A. Michalski	On Independent Secondary Dominating Sets in Generalized Graph Products	2021
28	A. Michalski; I. Włoch	On the existence and the number of independent (1,2)-dominating sets in the G-join of graphs	2020
29	D. Bród	On a new Jacobsthal-type sequence	2020
30	D. Bród	On distance (k, t)-Fibonacci numbers and their applications	2020
31	D. Bród	On some properties of split Horadam quaternions	2020
32	D. Bród	On split r-Jacobsthal quaternions	2020
33	D. Bród; A. Szynal-Liana	On J(r,n)-Jacobsthal Hybrid Numbers	2020
34	D. Bród; A. Szynal-Liana	On some combinatorial properties of P(r,n)-Pell quaternions	2020
35	D. Bród; A. Szynal-Liana; I. Włoch	On the combinatorial properties of bihyperbolic balancing numbers	2020
36	D. Bród; A. Szynal-Liana; I. Włoch	Two Generalizations of Dual-Hyperbolic Balancing Numbers	2020
37	D. Bród	On a new generalization of split Pell quaternions	2019
38	D. Bród	On a new one parameter generalization of Pell numbers	2019
39	D. Bród; A. Szynal-Liana	On a new generalization of Jacobsthal quaternions and several identities involving these numbers	2019