ΜΥ01 - Computational Mathematics

Information

Code : ΜΥ01

Type : Obligatory

Semester : 1

ECTS credits: 6

Course URL: https://eclass.hua.gr/courses/DIT202/

Expected Outcomes

The aim of the course is to introduce students to mathematical thinking and functional analysis of many variables. In this way it will give them the necessary knowledge of mathematics, so that they will be able to follow the mathematical analysis and the content included in the courses of the curriculum.

Content

Basic concepts of mathematical analysis.
Differential Calculus
- Derivatives
- Partial derivatives
- Function extrema
-Taylor series
Integral calculus
- Simple
- Double
- Generalized
- Curved integrals
Ordinary and partial differential equations
Linear algebra
- Matrices
- Determinants
- Eigenvalues - Eigenvectors
- Linear systems
Complex numbers
Fourier analysis

Evaluation Means

Bibliography

- Calculus, Briggs William, Cochran Lyle, Gillett Bernard
- Analysis of single variable functions and linear algebra, 2nd ed, Milonas Nikolaos, Schinas Christos, Papaschinopoulos G.
- Applied analysis ans elements of linear algebra, Philipakis M.