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Mathematics A

General data

Course ID: 1000-1MATA2 Erasmus code / ISCED: (unknown) / (unknown)
Course title: Mathematics A Name in Polish: Matematyka A
Department: Faculty of Mathematics, Informatics, and Mechanics
Course groups: (in Polish) Przedmioty minimum programowego dla studentów 2-go semestru (S1-CH)
ECTS credit allocation (and other scores): 9.00
view allocation of credits
Language: Polish
Main fields of studies for MISMaP:


Type of course:

obligatory courses

Short description:

Basic applications of integrals. Differentiation of functions of several variables, local maxima and minima, extreme values of differentiable functions of several variables on compact sets. Separable and linear differential equations. Second order linear differential equations with constant coefficients.

Full description:

Definite integral. Riemann sums. Basic applications of integrals: area of plane sets bounded by graphs of two functions, volume of a solid as an integral of area of plane sections, length of a curve, area of surface of revolution, center of mass. Improper integrals. Linear spaces, including some functional spaces like

polynomials or polynomials of bounded degree, differentiable functions. Complex numbers: absolute value, argument, de Moivre's formula, exponential with complex exponent, Euler's formulae. Several-variable functions: continuity and partial derivatives, Jacobian matrix, gradient, vectors tangent to a level surface of a

differentiable function. Taylor's formula (second order). Locally extreme values and saddles. Separable differential equations. Linear differential equations of first and second order. Quasi-polynomials. Solving second order ODE's with constant coefficients and quasi-polynomial right-hand side. Some iterated integrals. More general areas, volumes and mass centers.

Classes in period "Summer semester 2020/21" (in progress)

Time span: 2021-02-22 - 2021-06-13
Choosen plan division:

see course schedule
Type of class: Class, 60 hours more information
Lecture, 30 hours more information
Coordinators: Marcin Chałupnik
Group instructors: Marcin Chałupnik, Kamil Dunst, Michał Korch, Bohdan Petraszczuk, Michał Skrzypecki, Andrzej Strojnowski, Magdalena Zielenkiewicz, Olga Ziemiańska
Students list: (inaccessible to you)
Examination: Examination
Course descriptions are protected by copyright.
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