Τμήμα Ωκεανογραφίας και Θαλασσίων Βιοεπιστημών

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Numerical Analysis
School:
Of the Environment
Academic Unit:
Department of Marine Sciences
Level of studies:
Undergraduate
Course Code:
191ΜΥ20Ε
Semester:
Ε
Course Title:
Numerical Analysis
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
  • (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:
Activity Semester workload
Lectures
26
Laboratory exercises
13
Independent study
83
Final exam
3
Course total
125
  • 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