Cycle of education: 2022/2023
The name of the faculty organization unit: The faculty Chemistry
The name of the field of study: Biotechnology
The area of study: technical sciences
The profile of studing:
The level of study: first degree study
Type of study: past time
discipline specialities : Applied biochemistry, Purification and analysis of biotechnological products
The degree after graduating from university: Bachelor of Science (BSc)
The name of the module department : Department of Mathematics
The code of the module: 10918
The module status: mandatory for teaching programme Applied biochemistry, Purification and analysis of biotechnological products
The position in the studies teaching programme: sem: 1, 2 / W36 C36 / 12 ECTS / E,E
The language of the lecture: Polish
The name of the coordinator: Rafał Nalepa, PhD
The main aim of study: Explore the basic messages and methods Linear Algebra and Mathematical Analysis. Development of mathematical knowledge and ability to solve basic mathematical and technical problems with the help of mathematical apparatus.
The general information about the module: The module is implemented in the first and second semester. In the first and second semester there are 30 hours of lectures and 30 hours tutorials. Both in the first and second semester the module ends with an exam.
1 | M. Gewert, Z. Skoczylas | Analiza matematyczna 1, definicje, twierdzenia, wzory | Oficyna Wydawnicza GiS Wrocław . | 2006 |
2 | M. Gewert, Z. Skoczylas | Analiza matematyczna 2, definicje, twierdzenia, wzory | Oficyna Wydawnicza GiS Wrocław . | 2006 |
3 | M. Gewert, Z. Skoczylas | Algebra liniowa 1, definicje, twierdzenia, wzory | Oficyna Wydawnicza GiS, Wrocław. | 2006 |
4 | M. Gewert, Z. Skoczylas | Równania różniczkowe zwyczajne. teoria, przykłady, zadania | Oficyna Wydawnicza GiS, Wrocław. | 2002 |
1 | W. Krysicki, L. Włodarski | Analiza matematyczna w zadaniach, część I i II | PWN Warszawa. | 2004 |
1 | M. Gewert, Z. Skoczylas | Analiza matematyczna 1, przykłady i zadania | Oficyna Wydawnicza GiS, Wrocław. | 2006 |
2 | M. Gewert, Z. Skoczylas | Analiza matematyczna 2, przykłady i zadania | Oficyna Wydawnicza GiS, Wrocław. | 2006 |
3 | M. Gewert, Z. Skoczylas | Algebra liniowa 1, przykłady i zadania | Oficyna Wydawnicza GiS, Wrocław. | 2006 |
4 | M. Gewert, Z. Skoczylas | Równania różniczkowe zwyczajne. teoria, przykłady, zadania | Oficyna Wydawnicza GiS, Wrocław. | 2002 |
Formal requirements: Secondary school level, secondary-school certificate
Basic requirements in category knowledge: Basic knowledge of mathematics on secondary school level
Basic requirements in category skills: Ability to use the fundamental mathematical tools in the area of the secondary school
Basic requirements in category social competences: The student is prepared to undertake objective and justified actions in order to solve the posed exercise
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 | knows the basic properties of functions of one real variable and basic elementary functions | lecture, tutorials | written test |
K_W01++ |
P6S_WG |
02 | knows how to calculate the limits of sequences and functions at a simple level of difficulty | lecture, tutorials | written test, written exam |
K_U06++ K_K01++ |
P6S_KK P6S_KR P6S_UU |
03 | knows how to calculate the derivatives of functions of one real variable and use the theorems and methods of differential calculus of functions of one real variable to search for local extrema of functions | lecture, tutorials | written test, written exam |
K_U06++ K_K01++ |
P6S_KK P6S_KR P6S_UU |
04 | knows how to integrate the functions of one real variable by parts and by substitution and knows how to calculate integrals of rational functions | lecture, tutorials | written test, written exam |
K_U06++ K_K01++ |
P6S_KK P6S_KR P6S_UU |
05 | knows how to calculate powers and roots of complex numbers | lecture, tutorials | written test, written exam |
K_U06++ K_K01++ |
P6S_KK P6S_KR P6S_UU |
06 | knows how to calculate the determinants of square matrixes and how to solve Cramer's systems of linear equations | lecture, tutorials | written test, written exam |
K_U06++ K_K01++ |
P6S_KK P6S_KR P6S_UU |
07 | knows how to solve ordinary differential equations of the first order with separated variables | lecture, tutorials | written test, written exam |
K_U06++ K_K01++ |
P6S_KK P6S_KR P6S_UU |
08 | knows the basic concepts of analytic geometry in 3-dimensional space (scalar and vector products, line and plane equations) and knows how to use them | lecture, tutorials | written test, written exam |
K_W01++ |
P6S_WG |
09 | knows how to calculate the derivatives of functions of several variables and knows how to use theorems and methods of differential calculus of functions of several variables to search for local extrema of functions; knows the basic properties of double integrals, and can be applied in simple tasks; an calculate a triple integral over a normal region at a basic level of difficulty | lecture, tutorials | written test, written exam |
K_U06++ K_K01++ |
P6S_KK P6S_KR P6S_UU |
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 | W01, W02, W03, W04, C01, C02, C03, C04 | MEK01 | |
1 | TK02 | W05, W06, W07, C05, C06, C07 | MEK02 | |
1 | TK03 | C08 | MEK01 MEK02 | |
1 | TK04 | W08, W09, W10, C09, C10, C11, | MEK03 | |
1 | TK05 | W11, W12, W13, W14, W15, C12, C13, C14, C15 | MEK04 | |
2 | TK01 | W01, W02, C01, C02 | MEK05 | |
2 | TK02 | W03, W04, W05, C03, C04, C05, | MEK06 | |
2 | TK03 | W06, W07, W08, C06, C07, C08, | MEK07 | |
2 | TK04 | C09 | MEK05 MEK06 MEK07 | |
2 | TK05 | W09, W10, C10, C11 | MEK08 | |
2 | TK06 | W11, W12, W13, W14, W 15, C12, C13, C14, C15 | MEK09 |
The type of classes | The work before classes | The participation in classes | The work after classes |
---|---|---|---|
Lecture (sem. 1) | The preparation for a test:
10.00 hours/sem. |
contact hours:
18.00 hours/sem. |
complementing/reading through notes:
20.00 hours/sem. Studying the recommended bibliography: 10.00 hours/sem. |
Class (sem. 1) | The preparation for a Class:
15.00 hours/sem. The preparation for a test: 10.00 hours/sem. |
contact hours:
18.00 hours/sem. |
Finishing/Studying tasks:
20.00 hours/sem. Others: 15.00 hours/sem. |
Advice (sem. 1) | The participation in Advice:
2.00 hours/sem. |
||
Exam (sem. 1) | The preparation for an Exam:
20.00 hours/sem. |
The written exam:
2.00 hours/sem. |
|
Lecture (sem. 2) | The preparation for a test:
8.00 hours/sem. |
contact hours:
18.00 hours/sem. |
complementing/reading through notes:
15.00 hours/sem. Studying the recommended bibliography: 10.00 hours/sem. |
Class (sem. 2) | The preparation for a Class:
15.00 hours/sem. The preparation for a test: 10.00 hours/sem. |
contact hours:
18.00 hours/sem. |
Finishing/Studying tasks:
20.00 hours/sem. Others: 15.00 hours/sem. |
Advice (sem. 2) | The participation in Advice:
2.00 hours/sem. |
||
Exam (sem. 2) | The preparation for an Exam:
20.00 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 attendance at the lectures and the result of the written exam. |
Class | A credit for the classes is based on the attendance and the results of a test. The grade is the one of the test (plus, possibly, 0.5 for the activity). |
The final grade | |
Lecture | A credit for the lecture is based on attendance at the lectures and the result of the written exam. |
Class | A credit for the classes is based on the attendance and the results of a test. The final grade is the one of the test (plus, possibly, 0.5 for the activity). |
The final grade | A credit for the module is based on the credit for the classes and on the credit for the lectures. The final grade is the arithmetic mean of a grade (positive) of the classes and a grade (positive) of the exam. The final grade is rounded to the nearest mark permitted by the regulations of studies. |
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