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Mathematics

General data

Course ID:	1300-OMT1ZC
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:	Mathematics
Name in Polish:	Matematyka
Organizational unit:	Faculty of Geology
Course groups:
ECTS credit allocation (and other scores):	2.00 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.
Language:	Polish
Type of course:	obligatory courses
Short description:	Number sets: complex numbers. Matrixes, determinants, systems of linear algebraic equations, matrix calculus, row of a matrix. Vector calculus in Rn, vector product in R3, straight line and plane in R3. Functions as a relation, inverse functions. Limits of a sequences in Rn, sequence of numbers, the e number. Limits and continuity of functions. Derivative of a function: limits of indeterminate expressions, monotonicity, extrema, variability of function, derivative functions of several variables and its applications. Sequences of numbers and their convergence, power sequences. Indefinite integrals. Indefinite integrals and their applications. Double integrals and their applications. Ordinary differential equations: with separated variables, homogeneous, linear. Higher order equations. Elements of field theory: gradient, divergence, rotation, directional derivative.
Full description:	The classes are concentrated on: - solving problems based on the theory presented in lectures – the classes are synchronized with the lecture, - methodology of solving problems, learning to single-handedly by students solve the problems, perform calculations, which in future will be needed for other subjects, - solving details problems and examples that illustrate the theory presented in the lectures, - teaching self-interpretation of the results. Full description of the considerate issues in the exercises was presented above as the topics of the lectures.
Bibliography:	(in Polish) - MAURIN, L., MĄCZYŃSKI, M., TRACZYK, T. 1977. Matematyka-podręcznik dla studentów wydziałów chemicznych. Wydawnictwo Naukowe PWN; Warszawa, - LEITNER R., 1998. Zarys matematyki wyższej, WNT, Warszawa, - KRYSICKI, W., WŁODARSKI, L. 1988. Analiza matematyczna w zadaniach. PWN; Warszawa, - MATYSIAK, S. 2002. Zbiór zadań z matematyki dla studentów Wydziałów niematematycznych, Wydawnictwo Uniwersytetu Warszawskiego, Warszawa, - STEIN S. K., 1987, Calculus and analytic geometry, MC Graw-Hill Book Company, New York.
Learning outcomes:	After completing the classes a student: - self-handedly solves the mathematical problems from the scope adopted to the lecture - can solve systems of linear algebraic equations, calculate derivatives of function, draw function graphs, calculate and apply the integral, - has a basic knowledge of convergence of sequences - has a basic knowledge of elements of differential equations.
Assessment methods and assessment criteria:	3 or more absences on the classes lead to do not obtain credit of the subject. As part of the classes: - checked presence on classes and participation in the classes, - written tests (as final assessment determines: the sum of points and exceeds a certain minimum point of each test).
Practical placement:	(in Polish) brak

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 CW TU CW CW CW W CW TH FR
Type of class:	Classes, 30 hours, 80 places more information
Coordinators:	Paweł Goldstein
Group instructors:	Damian Głodkowski, Adrian Langer, Bruno Stonek, Magdalena Wiertel, Krzysztof Zakrzewski
Students list:	(inaccessible to you)
Examination:	Course - Grading Classes - Grading

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