Numerical Analysis and Simulation
FACULTY | ENGINEERING | ||||
DEPARTMENT | CHEMICAL ENGINEERING | ||||
LEVEL OF STUDY | UNDERGRADUATE | ||||
SEMESTER OF STUDY | 4o | ||||
COURSE TITLE | Numerical Analysis and Simulation | ||||
| COURSEWORK BREAKDOWN | TEACHING WEEKLY HOURS | ECTS Credits | |||
| Lectures | 2 | ||||
| Laboratory | 3 | ||||
| Projects | 0 | ||||
TOTAL | 5 | ||||
| COURSE TYPE | Compulsory | ||||
| PREREQUISITES | |||||
| LANGUAGE OF INSTRUCTION/EXAMS | Greek/English | ||||
| COURSE DELIVERED TO ERASMUS STUDENTS | Yes | ||||
MODULE WEB PAGE (URL) | https://eclass.uowm.gr/courses/CHEMENG205/ | ||||
2. LEARNING OUTCOMES
Learning Outcomes | |
| The goal of this course is to teach students how to use numerical methods to solve complex problems that cant be solved exactly, and how to use computer programs to put these solutions into action. • Understanding and knowledge of basic numerical methods for solving mathematical problems using a computer. Examples include the numerical finding of roots of non-linear algebraic equations, the numerical solution of systems of algebraic equations, the calculation of function derivatives given values of the function, and the calculation of certain integrals. • The theoretical foundations of these methods are also emphasized so that the student can understand and analyze the necessary and required conditions, as well as the corresponding errors, under which the numerical methods produce the desired results. After completing the course, the student will be able to approach problems using basic principles and classical methods of numerical analysis problems in science and in Engineering with the following expected Learning Outcomes: (1) modeling typical problems in engineering (2) developing methods to solve the above problems in PC (3) knowledge of floating point operations in computers and their consequences in calculations (4) awareness of the errors of numerical methods (5) awareness of the computational efficiency and effectiveness of numerical methods (6) information on the existence and use of computational numerical methods and other related tools | |
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| • Promotion of free, creative, and inductive thinking (problem-solving techniques) • Search, analysis, and synthesis of data and information, also using the necessary technologies (training them in simulation tools and familiarization with data processing in scientific software, such as MATLAB, EXCEL, IDV) • Decision-making (Based on the results obtained from the application of the models, the appropriate methods and standards are identified) • Preparation of independent work (individual exercises are given during the semester) • Elaboration of group work (group workshops and assignments) • Practice critical thinking and self-criticism. |
3. COURSE CONTENTS
| Basic concepts of analysis Representation of numbers and numerical solutions errors Nonlinear systems Numerical interpolation and polynomial approximation Numerical Differentiation and Integration Linear systems Approximation theory Partial Differential Equations Numerical analysis methods in engineering using MATLAB |
4. TEACHING METHODS – ASSESSMENT
| MODE OF DELIVERY | Face to face | ||||||||||||||||||||||||
| USE OF INFORMATION AND COMMUNICATION TECHNOLOGY | Use of Information and Communication Technologies in the Teaching of the Course: Projectors, laptops, and computers are used in every lecture. Use of ICT-based learning aids: Course notes are in electronic format and have been announced on the course website. Also, all the necessary course material (exercises, information sources, announcements, grades) is posted on the course website. Finally, a reference is made to specific websites. Use of ICT in laboratory education: The computer center of the department is used. Use of ICT in student assessment: Exam via e-class. Use of ICT in communication with students: It is possible to communicate with the students through announcements on the course website and through e-mail | ||||||||||||||||||||||||
TEACHING METHODS |
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| ASSESSMENT METHODS | 1. Written exam at the end of the semester 2. In-class tests 3. Home exercises 4. Use of multiple sources 5. PC lab or practical exercises. 6. Monitoring students during the execution of laboratory or practical exercises. 7. Request feedback from the students in the middle of the semester. 8. Ensuring transparency in the evaluation of student performance: After the announcement of the grades in e-class, students can come to see the solutions and verify if they have been evaluated in a correct and objective way. Evaluation Language The evaluation language is Greek. (English only for exchange students) Exercises - In-class tests Individual exercises are given, and in-class tests are carried out that have a weight of 10% of the total grade. Final exam A two-hour written theory exam, including five questions that students will have to answer, and a 1-hour programming exam in the computer lab. Students with special education needs after they have taken the written exams are requested to explain how they have solved each exercise in their writing. The grade is based on the total attendance of the student and is calculated as follows: Exercises and In-class tests 10 % Final Theory Exam 40 % Exams in MATLAB 50% |
5. RESOURCES
Suggested bibliography : |
| • Αριθμητικές Μέθοδοι για Μηχανικούς, Chapra S. - Canale R. • Αριθμητικές Μέθοδοι και Εφαρμογές για Μηχανικούς, 3η Έκδοση, Σαρρής Ι.- Καρακασίδης Θ. • Αριθμητική Ανάλυση με εφαρμογές σε MATHEMATICA και MATLAB, Παπαγεωργίου Γ. Τσίτουρας Χ. • Αριθμητικές Μέθοδοι για Μηχανικούς, 7η Έκδοση, Chapra S. - Canale R. For exchange students • Numerical Methods for engineers, Chapra S.C. • Numerical Analysis, J. Douglas Faires, Richard L. Burden, Thomson Brooks/Cole. • Numerical Methods for Engineers, S.C. Chapra and R.P. Canale, McGraw Hill Education |
Related academic journals: |