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Mathematics 1 - AI

Content


Real Function:
- Real Number
- Real Function of One Real Variable
- Elementary Functions
- Limit of Function
- The Derivative

Approximate Solution of a Nonlinear Equation:
- Separation of Roots
- Bisection Method
- Fixed Point Iteration Method
- Newton’s method

Approximation of Functions:
- Interpolation
- The Least Squares Method

The Calculation of Definite Integrals:
- Antiderivative
- Indefinite Integral (Integration Rules, Integration Formulas, Integration by Parts, Integration by the Substitution Method)
- The Definite Integral (Properties of Definite Integrals, Aplication of Definite Integrals)
- Numerical Integration (Newton-Cotes formulas, Rectangular Method, Trapezoidal Method, Simpson’s Method)

Linear Algebra:
- Vector Space
- Matrix
- Determinant
- Systems of Linear Equations
- Numerical Methods for Solving Systems of Linear Equations (Jacobi method, Gauss-Seidel method)

Lecturer


Instructor


Year


Bc. - I. ZS

Extent


3P / 3CV

Credits


6

Recommended Literature


[01] Berežný Štefan, Mathematics 1, FEI TU, Košice, 2014, ISBN 978-80-553-1788-5 (Print version)
[02] Berežný Štefan, Mathematics 1, FEI TU, Košice, 2014, ISBN 978-80-553-1789-2 (Screen version)
[03] Haščák, Pirč : Matematická analýza 1 ( skriptá)
[04] Brabec, Martan, Rozenský : Matematická analýza 1
[05] Eliáš, Horváth, Kajan : Zbierka úloh z vyššej matematiky
[06] Džurina, Grinčová, Pirč : Matematika 1 - úvod
[07] Molnárová, Myšková : Úvod do lineárnej algebry
[08] Skřivánek : Komplexné čísla
[09] Džurina, Grinčová, Pirč : Matematická analýza 1
[10] Baculíková, Grinčová : Zbierka riešených a neriešených úloh z MA1

Examples and Templates


Conditions for obtaining prerequisites/examination

Credit test:

obtaining at least 11 points out of 20 possible

Exam:

obtaining at least 51 points out of 100 possible points per semester and simultaneously
41 points out of 80 possible points from the exam test

Attachments


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