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Analysis I E

General data

Course ID:	1100-1Ind01
Erasmus code / ISCED:	11.101 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Analysis I E
Name in Polish:	Analiza I R
Organizational unit:	Faculty of Physics
Course groups:	(in Polish) Fizyka, ścieżka indywidualna; przedmioty dla I roku Physics, individual path; 1st year courses
ECTS credit allocation (and other scores):	9.00 Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	Polish
Prerequisites (description):	None
Mode:	Classroom
Short description:	First part, extended level
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
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.
Assessment methods and assessment criteria:	Two mid-terms, final written exam, final oral exam. Grading citeria: mastering the subject, solving problems
Practical placement:	None

Classes in period "Winter semester 2023/24" (past)

Time span:	2023-10-01 - 2024-01-28	Selected timetable range: weekly course term Navigate to timetable MO TU WYK W WYK TH CW CW FR CW CW
Type of class:	Classes, 60 hours more information Lecture, 60 hours more information
Coordinators:	Piotr Sołtan
Group instructors:	Marcin Kościelecki, Tomasz Smołka, Piotr Sołtan
Students list:	(inaccessible to you)
Examination:	Course - Examination Lecture - Examination

Classes in period "Winter semester 2024/25" (future)

Time span:	2024-10-01 - 2025-01-26	Selected timetable range: weekly course term Navigate to timetable MO TU WYK W TH CW CW WYK FR CW CW
Type of class:	Classes, 60 hours more information Lecture, 60 hours more information
Coordinators:	Jacek Jezierski
Group instructors:	Jacek Jezierski, Marcin Kościelecki, Tomasz Smołka
Students list:	(inaccessible to you)
Examination:	Course - Examination Lecture - Examination

Course descriptions are protected by copyright.
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