ΜΥ01 - Computational Mathematics

General Information

School: Digital Technology

Department: Informatics and Telematics

Level: Undergraduate

Course Title: Computational Mathematics

Course id: ΜΥ01

Type: Core Course 

Semester: 1

Teaching and Examination Language: Greek

Is the course offered in Erasmus: Yes

Course web-page: https://eclass.hua.gr/courses/DIT202/

Activities

Lectures (Theory): 3,0

Lab lectures: 0,0

ECTS credits: 5,0

Learning 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.

General Skills

-Mathematical thinking and perception
-Knowledge of higher mathematics
-Structured analysis and decision making

Course 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

Learning and Teaching Methods - Evaluation

Teaching methods: In person

Use of ICT: 

Course Organization

Assessment

Written exams

Literature

- 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.