Subjects

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Mathematical Analysis Ib - NUMP002

Title:	Matematická analýza Ib
Guaranteed by:	Department of Mathematics Education (32-KDM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2016
Semester:	summer
E-Credits:	8
Hours per week, examination:	summer s.:4/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	prof. RNDr. Adolf Karger, DrSc.
Classification:	Mathematics > Real and Complex Analysis Teaching > Mathematics
Incompatibility :	NMAA007, NMAA008, NMUE002, NMUE003
Interchangeability :	NMUE003, NMUM102
Is co-requisite for:	NUMP005, NUMP006
Is incompatible with:	NMUM102, NMAI047, NMUM803, NMAA008, NMAI009, NMAA007
Is interchangeable with:	NMUM803, NMUE003, NMUM102, NMAI047, NMAI009, NMAA002

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Annotation -

Last update: G_M (09.10.2001)

Basic course for students of 2. semester of teachers study. Differential euations, integral calculus.

Syllabus -

Last update: T_KMA (15.05.2003)

First order differential equations, separation of variables. Existence theorem on the solution of differential equations. Linear differential equations of order n, specially with constant coefficients. Sequences and their limits, Bolzano-Cauchy condition, series of real numbers and their sums, convergence criteria. Metric spaces, closure of a set, convergence of a sequence of points, continuity of a mapping, compact sets, complete spaces. Functions of several variables, continuity, partial derivatives, local and bounded extrema. Theorem on implicit functions. Mappings from Rn to Rm, specially curves and surfaces in R3 and their basic geometric properties.