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Higher mathematics (in English)


Some basic information about the module

Cycle of education:
2016/2017
The name of the faculty organization unit:
The faculty Mathematics and Applied Physics
The name of the field of study:
Mathematics
The area of study:
sciences
The profile of studing:
The level of study:
second degree study
Type of study:
full time
discipline specialities :
Applications of Mathematics in Computer Science, Applications of Mathematics in Economics
The degree after graduating from university:
The name of the module department :
Department of Mathematics
The code of the module:
4053
The module status:
mandatory for teaching programme Applications of Mathematics in Computer Science, Applications of Mathematics in Economics
The position in the studies teaching programme:
sem: 1 / C30 / 2 ECTS / Z
The language of the lecture:
English
The name of the coordinator:
Prof. Józef Banaś, DSc, PhD
office hours of the coordinator:
w terminach podanych w harmonogramie pracy jednostki.

The aim of studying and bibliography

The main aim of study:
Knowledge mathematical terminology (analysis, algebra)

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

others:
L. A. Chang, Handbook for Spoken Mathematics

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:

Basic requirements in category skills:

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 OEK
MEK01 Student obtains knowledge of English terminology used in mathematics (basic mathematical concepts and operations, terminology of analysis and algebra) classes Control of written and oral tests K-W13+
K-K01+
 U07
U10
K01
MEK02 Student obtains ability to read a simple mathematical text written in English Classes Control of written and oral tests K-W13+
K-K06+++
 U10
K01
MEK03 Student obtains ability to translate a simple mathematical text from Polish to English Classes Control of written and oral tests K-W13+
K-U02++
 U03
U05
U10
MEK04 Student obtains ability to comprehend scientific mathematical text written in English Classes Control of written and oral tests K-W13+
K-K07+
 U10
K06

The syllabus of the module

Sem. TK The content realized in MEK
1 TK01 Elementary Functions. C01 MEK01 MEK02 MEK03 MEK04
1 TK02 Equalities and Inequalities. Arithmetic Operations. Absolute Value. C02 MEK01 MEK02 MEK03 MEK04
1 TK03 Polynomials and Algebraic Equations . C03 MEK01 MEK02 MEK03 MEK04
1 TK04 Matrices and Determinants. C04 MEK01 MEK02 MEK03 MEK04
1 TK05 Sequences. Limit of a Sequence. C05 MEK01 MEK02 MEK03 MEK04
1 TK06 Consistency Condition for a Linear System. Finding Solutions of a System of Linear Equations. C06, C07 MEK01 MEK02 MEK03 MEK04
1 TK07 Limit of a Function. Asymptotes. Continuous Functions. C08, C09 MEK01 MEK02 MEK03 MEK04
1 TK08 Differential Calculus for Functions of a Single Variable. Differentiation Rules. Theorems about Differentiable Functions. L’Hospital Rule. C10, C11, C12 MEK01 MEK02 MEK03 MEK04
1 TK09 Higher-Order Derivatives and Differentials. Qualitative Analysis of Functions and Construction of Graphs C12, C13 MEK01 MEK02 MEK03 MEK04
1 TK10 Integration Examples. Integration of Rational Functions. Integration of Irrational Functions. C14 MEK01 MEK02 MEK03 MEK04
1 TK11 Ordinary Differential Equations. First-Order Differential Equations. Second-Order Linear Differential Equations. C15 MEK01 MEK02 MEK03 MEK04

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 and written tests
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