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.