Oct 21, 2019   2:16 a.m. Uršuľa
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Course syllabus B-MAT1E - Mathematics 1 (FEEIT - SS 2019/2020)


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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Electrical Engineering and Information Technology
Course unit code: B-MAT1E
Course unit title: Mathematics 1
Mode of completion and Number of ECTS credits: Exam (6 credits)
Course contents:
1.Linear algebra (allowance 12/8)
 
a.real and complex numbers
b.matrices, elimination methods of solving of the systems of linear equations
c.determinants
d.sum and product of matrices, inverse matrix
e.polynomials and rational functions

2.Real functions (allowance 9/6)
 
a.Definitions of a function, even and odd function, periodic function, bounded function. Elementary functions.
b.limit and continuity of a function
c.differentiable functions, computing of derivatives

3.using derivatives to investigate functions (allowance 9/6)
 
a.asymptotes of the graph of a function
b.the Rolle and Lagrange theorem, monotone functions, local extremes
c.convex and concave functions

4.sequences and series (allowance 6/4)
 
a.convergent and divergent series, absolutely convergent series, geometric series
b.power series, the Taylor theorem and Taylor series


Last modification made by RNDr. Marian Puškár on 05/06/2019.

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