Chosen lectures II - Higher mathematics for engineers
Some basic information about the module
The aim of studying and bibliography
The main aim of study:
To acquaint the students with the selected topics of higher mathematics.
The students will choose one of the two moduli given before the end of the second semester.
The general information about the module:
The module is implemented in the second semester in the form of lectures (30 hours) and exercises (15 hours).
Bibliography required to complete the module
| 1 | M. Gewert, Z. Skoczylas | Analiza matematyczna 2. Definicje, twierdzenia, wzory | Oficyna Wydawnicza GiS, Wrocław. | 2005 |
| 2 | M. Gewert, Z. Skoczylas | Analiza matematyczna 2. Przykłady i zadania | Oficyna Wydawnicza GiS, Wrocław. | 2005 |
| 3 | W. Żakowski, W. Kołodziej | Matematyka, część II | WNT, Warszawa. | 2003 |
| 1 | J. Banaś, S. Wędrychowicz | Zbiór zadań z analizy matematycznej | WNT, Warszawa. | 2004 |
| 2 | M. Gewert, Z. Skoczylas | Analiza matematyczna 2. Przykłady i zadania | Oficyna Wydawnicza GiS, Wrocław. | 2005 |
| 3 | W. Krysicki, L. Włodarski | Analiza matematyczna w zadaniach cz. 1 i cz. 2 | PWN, Warszawa. | 2004 |
Basic requirements in category knowledge/skills/social competences
Formal requirements:
Knowledge of the basics of mathematical analysis (completed Mathematical analysis 1 and Mathematical analysis 2) and of linear algebra (module Linear algebra with geometry). The student satisfies the
Basic requirements in category knowledge:
A student has mathematical knowledge which allows him/her to understand the lectured material.
Basic requirements in category skills:
Ability to use the knowledge obtained during previous education at university.
Basic requirements in category social competences:
A student is prepared to undertake substantiated mathematical operations in order to solve a task and has the ability to extend his/her 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 PRK |
|---|---|---|---|---|---|
| MEK01 | knows how to examine pointwise or uniform convergence of function series | lecture, exercises | test |
K-W01++ K-U01++ K-U25+ K-K01+ |
P6S-KK P6S-UU P6S-UW P6S-WG |
| MEK02 | knows how to expand a function to power series | lecture, exercises | test |
K-W01++ K-U01++ K-U25+ K-K01+ |
P6S-KK P6S-UU P6S-UW P6S-WG |
| MEK03 | knows how to expand a function to Fourier series | lecture, exercises | test |
K-W01++ K-U01++ K-U25+ K-K01+ |
P6S-KK P6S-UU P6S-UW P6S-WG |
The syllabus of the module
| Sem. | TK | The content | realized in | MEK |
|---|---|---|---|---|
| 4 | TK01 | W01-W04, C01-C02 | MEK01 MEK02 | |
| 4 | TK02 | W05-W20, C03-C09 | MEK01 MEK02 | |
| 4 | TK03 | W21-W30, C10-C15 | MEK03 |
The student's effort
| The type of classes | The work before classes | The participation in classes | The work after classes |
|---|---|---|---|
| Lecture (sem. 4) | contact hours:
30.00 hours/sem. |
complementing/reading through notes:
5.00 hours/sem. |
|
| Class (sem. 4) | The preparation for a Class:
10.00 hours/sem. |
contact hours:
15.00 hours/sem. |
Finishing/Studying tasks:
5.00 hours/sem. |
| Advice (sem. 4) | The preparation for Advice:
2.00 hours/sem. |
The participation in Advice:
2.00 hours/sem. |
|
| Credit (sem. 4) | The preparation for a Credit:
10.00 hours/sem. |
The written credit:
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 |
|---|---|
| Lecture | A credit for the lecture is based on attendance at the lectures. |
| Class | A credit for the exercises is based on the result of tests and oral answers. |
| 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