The aim of studying and bibliography

The main aim of study: Knowledge mathematical terminology (elements of higher mathematics).

The general information about the module: Classes in mathematics in English.

Bibliography required to complete the module

Bibliography used during classes/laboratories/others

1	J. Marsden, A. Weinstein	Calculus	Springer-Verlag, New York, Berlin, Heidelberg, Tokyo.	1985
2	A.D. Polyanin, A.V. Manzhirov	Mathematics for engineers and scientists	Chapman & Hall/CRC Taylor & Francis Group, Boca Raton, London, New York.	2007

Basic requirements in category knowledge/skills/social competences

Formal requirements: A student has primary knowledge of English (B2)

Basic requirements in category knowledge: Knowledge of basic mathematical concepts gained during the first degree studies.

Basic requirements in category skills: Having the skills required to pass the subjects offered during the first degree studies.

Basic requirements in category social competences: Ability to extend their knowledge independently.

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 OEK
01	obtains knowledge of English terminology used in mathematics (basic mathematical concepts and operations, terminology of analysis, algebra and Euclidean geometry).	classes	control of oral answers	K_W13+ K_K01+ K_K04+	X2A_U07+ X2A_U10+++ X2A_K01+ X2A_K03+ X2A_K04+
02	obtains ability to read and comprehend scientific mathematical text written in English.	classes	control of oral answers	K_W13+ K_K06+++	X2A_U10+++ X2A_K01+
03	obtains ability to translate a simple mathematical text from Polish to English.	classes	control of oral answers	K_W13+ K_U02++ K_K07+	X2A_U03+ X2A_U05+ X2A_U10+++ X2A_K06+

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
1	TK01	Elementary functions.	C01	MEK01 MEK02 MEK03
1	TK02	Equalities and inequalities, arithmetic operations, absolute value.	C02	MEK01 MEK02 MEK03
1	TK03	Relations, equivalence relations, ordering relations.	C03	MEK01 MEK02 MEK03
1	TK04	Functions, injection, surjection, bijection. Inverse function.	C04	MEK01 MEK02 MEK03
1	TK05	Euclidean geometry of the plane: angles (acute, obtuse, right), triangle, rectangle, polygon, circle.	C05, C06	MEK01 MEK02 MEK03
1	TK06	Polynomials and algebraic equations.	C07	MEK01 MEK02 MEK03
1	TK07	Matrices and determinants.	C08	MEK01 MEK02 MEK03
1	TK08	Sequences, limit of a sequence.	C09	MEK01 MEK02 MEK03
1	TK09	Consistency condition for a linear system, finding solutions of a system of linear equations.	C10	MEK01 MEK02 MEK03
1	TK10	Limit of a function, asymptotes, continuous functions.	C11	MEK01 MEK02 MEK03
1	TK11	Differential calculus for functions of a single variable, differentiation rules, theorems about differentiable functions, L’Hospital rule.	C12	MEK01 MEK02 MEK03
1	TK12	Higher-order derivatives and differentials, qualitative analysis of functions and construction of graphs.	C13	MEK01 MEK02 MEK03
1	TK13	Integration examples, integration of rational functions, integration of irrational functions.	C14	MEK01 MEK02 MEK03
1	TK14	Ordinary differential equations, first-order differential equations, second-order linear differential equations.	C15	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. 1)	The preparation for a Class: 10.00 hours/sem. The preparation for a test: 5.00 hours/sem.	contact hours: 30.00 hours/sem.	Finishing/Studying tasks: 5.00 hours/sem.
Advice (sem. 1)	The preparation for Advice: 2.00 hours/sem.	The participation in Advice: 2.00 hours/sem.
Credit (sem. 1)

The way of giving the component module grades and the final grade

The type of classes	The way of giving the final grade
Class	The final mark is the mean of marks obtained for oral answers.
The final grade	The final mark is the mark for knowledge obtained in classes

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