Numerical Analysis
(1) General
| School: | Of the Environment | ||
| Academic Unit: | Department of Marine Sciences | ||
| Level of studies: | Undergraduate | ||
| Course Code: | 191ΜΥ20Ε | Semester: | E |
| Course Title: | Numerical Analysis | ||
| Independent Teaching Activities | Weekly Teaching Hours | Credits | |
| Total credits | 5 | ||
| Course Type: | Special background | ||
| Prerequisite Courses: | There are no prerequisite courses. However basic knowledge of computer use is essential for following the lectures and laboratory exercises. | ||
| Language of Instruction and Examinations: | Greek | ||
| Is the course offered to Erasmus students: | No | ||
| Course Website (Url): | https://www.mar.aegean.gr/index.php?lang=en&lesson=1054&pg=3.1.1 | ||
(2) Learning Outcomes
Learning Outcomes
The aimed learning outcomes regarding knowledge, skills and abilities, are the following:
- Knowledge of basic numerical methods related to: 1. Numerical systems-Errors in arithmetic calculations, 2. Numerical solution of nonlinear equations f(x)=0, 3. Numerical solution of linear systems, 4. Curve fitting methods, 5. Numerical differentiation, 6. Numerical quadrature, 7. Numerical Optimization, 8. Numerical solution of Ordinary Differential Equations, 9. Numerical solution of Partial Differential Equations
- Ability to use worksheet software (MS-Excel or LibreOffice Calc) to solve mathematical problems using the above mentioned numerical methods
General Competences
-
Search for, analysis and synthesis of data and information, with the use of the necessary technology
-
Adapting to new situations
-
Decision-making
-
Working independently
(3) Syllabus
Week 1: Numerical systems-Errors in arithmetic calculations
Week 2: Numerical solution of nonlinear equations f(x)=0
Week 3: Numerical solution of linear systems
Week 4: Curve fitting methods
Week 5: Numerical differentiation
Week 6: Numerical quadrature
Week 7: Numerical Optimization
Week 8: Numerical solution of Ordinary Differential Equations
Week 9: Numerical solution of Partial Differential Equations
Weeks 10-13: Applications on environmental issues
(4) Teaching and Learning Methods - Evaluation
| Delivery: | Face-to-face | ||||||||||||||||||
| Use of Information and Communication Technology: | Oral presentations
The course is supported for registered students by the e-class platform at https://eclass.aegean.gr/courses/MAR103
Students practice in the computer lab on spreadsheet software (MS-Excel or LibreOffice Calc) | ||||||||||||||||||
| Teaching Methods: |
| ||||||||||||||||||
| Student Performance Evaluation: | The final evaluation is carried out with practical exercise in the computer lab, where the ability of students to develop a spreadsheet file for the solution of a problem.
Students are able to check the files they supplied and ask for further information about their evaluation. |
(5) Attached Bibliography
Students’ notes:
-
Tsirtsis, G. 2009. Numerical Analysis (Student's notes in Greek). Department of Marine Sciences, University of the Aegean, 110 p.
- Additional bibliography:
-
Sofianos, G., Tychopoulos, E. Ε. 2005. Numerical Analysis (in Greek). ISBN: 978-960-351-598-1.
-
Misirlis, N. 2009. Numerical Analysis (in Greek). ISBN: 978-960-92031-2-8.
-
Georgiou, D. 2008. Numerical Analysis (in Greek). ISBN: 978-960-461-172-0.
- Related academic journals:
-
Journal of Statistical Software
https://www.jstatsoft.org/index