 School of Chemical and Environmental Engineering

Now offering two distinct diplomas: Chemical Engineering and Environmental Engineering

# Numerical Analysis

1. COURSE INFORMATION:

 School Chemical and Environmental Engineering Course Level Undergraduate Direction - Course ID ENVE 336 Semester 4th Course Category Required Course Modules Instruction Hours per Week ECTS Lectures  and laboratory exercises 6 T=4, E=0, L=2 4 Course Type Scientific Area Prerequisites Instruction/Exam Language Greek The course is offered to Erasmus students No Course URL https//www.eclass.tuc.gr/courses/MHPER322/   (in Greek)

2. LEARNING OUTCOMES

 Learning Outcomes Upon successful completion of the course, the student will be able to:Recognize basic Numerical Analysis methods (approximation, errors, SDE problem solving, arithmetic derivation and integration, etc.)Applie basic Numerical Analysis methods, using proper software, to problems of Environmental Engineering.Process experimental and numerical data.Use the numerical analysis approach to problem solving.Distinguish the differences between the numerical and the analytical methods of problem solving.Use the proper computer software in order to solve real life problems of Chemical and Environmental Engineering (scenarios). General Competencies/Skills Work autonomouslyTeam workadvance free, creative and causative thinking

3. COURSE SYLLABUS

 Introduction to Numerical Methods- Algorithms – Number representation.ErrorsEquation solving Ι: interval methods (bisection, false position)Equation solving ΙΙ: initial value methods (fixed point, Newton-Raphson, secant).Newton-Raphson’s method for non-linear systems. Basic theorems of Mathematical Analysis. Horner’s rule.Interpolation I: interpolation polynomials (Langrange, divided differences, Newton)Interpolation II: splinesRegression – Least Squares Method (L.S.E.).. .Differentiation (method of finite differences , method of coefficient determination, use of interpolation polynomials). Integration (methods: trapezoid, Simpson e.t.c). More integration methods.Initial and Boundary Value Problems for Ordinary Differential Equations.Applications in Environmental Engineering.

4. INSTRUCTION and LEARNING METHODS - ASSESSMENT

 Lecture Method Direct (face to face) and Lab exercises Use of Information and Communication Technology Specialized software; Power point presentations; E-class support Instruction Organisation Activity Workload per Semester (hours) - Lectures 52 - Review exercises/Lab exercises 26 - Autonomous study 22 Course Total 100 Assessment Method I. Written final examination (80%). - Theoretical/applied problems to be solved.II.  Laboratory Exercises (20%)   ORI .Midterm and final exam (80%=40%+40%)II. Laboratory Exercises (20%)