Aim of the course is to present the basic (mathematical) numerical methods (errors, equation solving, numerical derivation and integration, initial value problems for o.d.e’s  e.t.c.) and apply these methods, using specialized software, to problems of Environmental Engineering.

The goals are:

• the study of the (numerical) approximation methods for (real life) problem solving
•  the understanding of the difference between approximation and analytical methods,
• the familiarization of  the students with specialized software programs and the use these programs in solving real problems (scenarios).

The course is addressed to the junior students of the School / Department of Environmental Engineering of the Technical University of Crete.

• Work autonomously
• Review, analyse and synthesise data and information, with the use of necessary technologies
• Team work

• Errors,
• numerical solution of non-linear equations,
• interpolation and polynomial approximation,
• numerical differentiation and integration,
• approximation theory,
• numerical methods for initial-value and boundary-value problems for ordinary differential equations,
• applications in environmental engineering.

Assessment Method

I. Written final examination (80%).
- Questions of theoretical knowledge.
- Theoretical/applied problems to be solved.

II.  Laboratory Exercises (20%)    Eight lab exercises

III. “Bonus” exercises (10%  in addition to the final exam).

OR

I .Midterm and final exam (80%=40%+40%)

II. Laboratory Exercises (20%)  Eight lab exercises

III.“Bonus” exercises (10%  in addition to the midterm/final exam grade).

• Tsanis I, Solved problems of computational hydraulic and environmental engineering, 2005, Ed Tziola.
• Chapra S. - Canale R, Numerical methods for Engineers, 7th ed,  2014, Ed Tziola.  
• Sarris I., karakasidis Th., Numerical methods and Applications for Engineers, 2017, Ed Tziola.
• E-class notes