Item card
Mathematical analysis 1
Some basic information about the module
Cycle of education:
2019/2020
The name of the faculty organization unit:
The faculty Mathematics and Applied Physics
The name of the field of study:
Engineering and data analysis
The area of study:
sciences
The profile of studing:
The level of study:
first degree study
Type of study:
full time
discipline specialities :
The degree after graduating from university:
engineer
The name of the module department :
Departament of Topology and Algebra
The code of the module:
12291
The module status:
mandatory for teaching programme
The position in the studies teaching programme:
sem: 1 / W45 C30 L15 / 5 ECTS / E
The language of the lecture:
Polish
The name of the coordinator:
Jarosław Górnicki, DSc, PhD
office hours of the coordinator:
środa, czwartek 10.30 - 12, L-107
semester 1:
Janusz Dronka, PhD , office hours E-mail contact.
semester 1:
Krzysztof Pupka, PhD , office hours E-mail contact.
semester 1:
Paweł Witowicz, PhD , office hours E-mail contact.
semester 1:
Grzegorz Sroka, PhD, Eng. , office hours E-mail contact.
The aim of studying and bibliography
The main aim of study:
Skills calculating limits, derivatives and their use in the testing process functions. The ability of calculating definite integrals, improper, and their application using computer techniques. Using the power and trigonometric series.
The general information about the module:
Mathematical analysis allows to learn contemporary mathematical terminology and basic research methods that find application in other fields of science.
Bibliography required to complete the module
| 1 | F. Leja | Rachunek różniczkowy i całkowy | PWN, Warszawa. | 2016. |
| 2 | S. Banach | Rachunek różniczkowy i całkowy, t.1, t.2 | PWN, Warszawa. | 1955. |
| 3 | W. Żakowski, G. Decewicz | Analiza matematyczna, t. 1. | WNT, Warszawa. | 2010. |
| 4 | W. Krysicki, L. Włodarski | Analiza matematyczna w zadaniach, t.1, t.2. | PWN, Warszawa. | 2015. |
| 5 | M. Gewert, Z. Skoczylas | Analiza matematyczna 1. Przykłady i zadania. | GiS, Wrocław. | 2016. |
Basic requirements in category knowledge/skills/social competences
Formal requirements:
Knowledge and skills in mathematics at school and computer skills. The student satisfies the formal requirements set out in the study regulations.
Basic requirements in category knowledge:
Knowledge and skills in mathematics at school and computer skills.
Basic requirements in category skills:
Thoughts.
Basic requirements in category social competences:
Can behave and cooperate in a group.
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 | He can calculate the limits of the function. He can calculate derivatives and use them to calculate boundaries, study the monotonicity of functions or extremes of a function. | lectures, exercises. | colloquium, exam |
K-W01+ K-W02+ K-U01+ K-U25+ K-K01+ |
P6S-KK P6S-UU P6S-UW P6S-WG |
| MEK02 | He can calculate integrals and apply them. He uses the power and trigonometric series. | lecture, exercises | colloquium, exam |
K-W01+ K-W02+ K-U01+ K-U25+ K-K01+ |
P6S-KK P6S-UU P6S-UW P6S-WG |
| MEK03 | He can solve the algebraic equations, systems of equations, generate function graphs, calculate integrals in practical problems in CAS Maxima. | laboratory | Practical Examination - written tests using Maxima CAS package. |
K-W02+ K-U01+ K-K05+ |
P6S-KO P6S-UW P6S-WG |
The syllabus of the module
| Sem. | TK | The content | realized in | MEK |
|---|---|---|---|---|
| 1 | TK01 | W1, C1 | MEK01 | |
| 1 | TK02 | W2, C2 | MEK01 | |
| 1 | TK03 | W3, C3 | MEK01 | |
| 1 | TK04 | W4, C4 | MEK01 MEK03 | |
| 1 | TK05 | W5, C5 | MEK01 MEK03 | |
| 1 | TK06 | W6, C6 | MEK01 MEK02 MEK03 | |
| 1 | TK07 | W7, C7 | MEK01 MEK02 MEK03 | |
| 1 | TK08 | W8, C8 | MEK01 MEK03 | |
| 1 | TK09 | W9, C9 | MEK01 MEK03 | |
| 1 | TK10 | W10, C10 | MEK01 | |
| 1 | TK11 | W11, C11 | MEK01 | |
| 1 | TK12 | W12, C12 | MEK01 MEK02 MEK03 | |
| 1 | TK13 | W13, C13 | MEK02 MEK03 | |
| 1 | TK14 | W14, C14 | MEK02 MEK03 | |
| 1 | TK15 | W15, C15 | MEK01 MEK02 MEK03 |
The student's effort
| The type of classes | The work before classes | The participation in classes | The work after classes |
|---|---|---|---|
| Lecture (sem. 1) | contact hours:
45.00 hours/sem. |
complementing/reading through notes:
5.00 hours/sem. Studying the recommended bibliography: 10.00 hours/sem. |
|
| Class (sem. 1) | The preparation for a Class:
2.00 hours/sem. The preparation for a test: 8.00 hours/sem. |
contact hours:
30.00 hours/sem. |
Finishing/Studying tasks:
6.00 hours/sem. |
| Laboratory (sem. 1) | The preparation for a Laboratory:
1.00 hours/sem. The preparation for a test: 4.00 hours/sem. |
contact hours:
15.00 hours/sem. |
Finishing/Making the report:
2.00 hours/sem. |
| Advice (sem. 1) | The preparation for Advice:
1.00 hours/sem. |
The participation in Advice:
2.00 hours/sem. |
|
| Exam (sem. 1) | The preparation for an Exam:
15.00 hours/sem. |
The written exam:
4.00 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 | Only students who passed the laboratory and obtained at least 50 points during the classes can take part in the exam. At the written exam without the use of computer techniques, the student may receive 0 - 50 points. |
| Class | In the case of two written colloquia, the student may receive 0-100 points. |
| Laboratory | Practical test (laboratory) using the CAS Maxima package. |
| 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