Analysis I E
General data
| Course ID: | 1100-1Ind01 | Erasmus code / ISCED: |
11.101
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(0541) Mathematics
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| Course title: | Analysis I E | Name in Polish: | Analiza I R |
| Organizational unit: | Faculty of Physics | ||
| Course groups: |
Physics, individual path; 1st year courses |
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| ECTS credit allocation (and other scores): |
9.00  view allocation of credits |
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| Language: | Polish | ||
| Prerequisites (description): | None |
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| Mode: | Classroom |
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| Short description: |
First part, extended level |
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| Full description: |
1. Elements of logic and set theory - Equivalence relations 2. Real numbers - Existence of suprema and infima 3. Sequences of real numbers - Cauchy sequences 4. Metric spaces - Balls, open sets - Closed sets - Sequences in metric spaces 5. Elements of general topology - Continuous mappings - Compactness - Connectedness 6. Differential calculus - Basic theorems - Bernoulli-de l'Hospital rules - Taylor's formula - Maxima and minima 7. The Riemann integral - Fundamental theorem of differential calculus 8. The functions log and exp 9. Series - Series with positive terms - Series with arbitrary terms 10. Sequences and series of functions - Types of convergence, elementary theorems - Power series 11. Elementary functions 12. Methods of integration 13. Stone-Weierstrass theorem 14. Additional topics - Banach principle - Convex functions - Integrals with parameter |
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| Learning outcomes: |
1. Mastering elementary mathematical analysis. 2. Gaining basic competence in reading and understanding mathematical texts. 3. Obtaining elementary techniques of analysis of real functions. 4. Obtaining experience and skill of identifying crucial mathematical properties of objects under study and application thereof. |
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| Assessment methods and assessment criteria: |
Two mid-terms, final written exam, final oral exam. Grading citeria: mastering the subject, solving problems |
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| Practical placement: |
None |
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Classes in period "Winter semester 2021/22" (past)
| Time span: | 2021-10-01 - 2022-02-20 |
 
 see course schedule |
| Type of class: |
Class, 60 hours more information Lecture, 60 hours more information |
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| Coordinators: | Katarzyna Grabowska | |
| Group instructors: | Katarzyna Grabowska, Marcin Kościelecki, Marcin Napiórkowski, Bartosz Zawora | |
| Students list: | (inaccessible to you) | |
| Examination: |
Course -
Examination
Lecture - Examination |
Classes in period "Winter semester 2022/23" (future)
| Time span: | 2022-10-01 - 2023-01-29 |
see course schedule |
| Type of class: |
Class, 60 hours more information Lecture, 60 hours more information |
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| Coordinators: | Paweł Kasprzak | |
| Group instructors: | Paweł Kasprzak, Marcin Kościelecki | |
| Students list: | (inaccessible to you) | |
| Examination: |
Course -
Examination
Lecture - Examination |
Copyright by University of Warsaw.