# Numerical Analysis

 Title ΑΡΙΘΜΗΤΙΚΗ ΑΝΑΛΥΣΗ / Numerical Analysis Code 0402 Faculty Sciences School Mathematics Cycle / Level 1st / Undergraduate Teaching Period Winter/Spring Common No Status Active Course ID 40000481

### Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 362
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course535.5

 Academic Year 2019 – 2020 Class Period Winter Instructors from Other Categories Weekly Hours 3 Class ID 600147614
Course Type 2011-2015
General Foundation
Mode of Delivery
• Face to face
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
• Greek (Instruction, Examination)
Prerequisites
Required Courses
• 0102 Introduction to Algebra
• 0201 Calculus I
• 0202 Calculus II
• 0430 Introduction to Computer Programming
General Prerequisites
Calculus, Linear Algebra, Computer Programming
Learning Outcomes
After having successfully completed the course, the students will be able to: • calculate the error in representing numbers in computer memory and in computer arithmetic • use numerical methods to calculate the values of polynomials and the solution of equations • perform numerical differentiation and integration • approximate functions and estimate the approximation error
General Competences
• Apply knowledge in practice
• Retrieve, analyse and synthesise data and information, with the use of necessary technologies
• Adapt to new situations
• Work autonomously
• Work in teams
• Work in an international context
• Work in an interdisciplinary team
• Design and manage projects
• Be critical and self-critical
• Advance free, creative and causative thinking
Course Content (Syllabus)
Structure of Computational systems and algorithms, number systems and errors - Interpolation and approximation (interpolation by Lagrange and Newton polynomials) - Numerical integration (midpoint, trapezoid and Simpson’s rules, Romberg integration) - Numerical solution of non-linear equations (bisection method, secant, regula-falsi and modified regula-falsi, Newton’s method) - Introduction to iterative methods
Keywords
Errors, Computer representation, Polynomials, Interpolation, Numerical Differentiation, Numerical integration, Numerical solution of equations
Educational Material Types
• Slide presentations
• Book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Course Teaching
• Use of ICT in Laboratory Teaching
• Use of ICT in Communication with Students
• Use of ICT in Student Assessment
Description
The complete course material is uploaded in elearning in form of slides During the lectures, small projects that have to be implemented in a programming language are assigned to the students
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures391.3
Laboratory Work401.3
Reading Assigment832.8
Exams30.1
Total1655.5
Student Assessment
Description
Written Examination and computer assignments with oral evaluation
Student Assessment methods
• Written Exam with Short Answer Questions (Formative, Summative)
• Written Exam with Extended Answer Questions (Formative, Summative)
• Written Assignment (Formative, Summative)
• Oral Exams (Formative, Summative)
• Written Exam with Problem Solving (Formative, Summative)
• Labortatory Assignment (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
Αριθμητική Ανάλυση, Μ. Χ. Γουσίδου-Κουτίτα, επανέκδοση 2017, Εκδόσεις Κυριακίδη. Εισαγωγή στην Αριθμητική Ανάλυση, Γ.Δ. Ακρίβης & Β.Α. Δουγαλής, 2017, Πανεπιστημιακές Εκδόσεις Κρήτης. Αριθμητική Ανάλυση: Εισαγωγή, Μ.Ν. Βραχάτης, 2012, Εκδόσεις Κλειδάριθμος.
Additional bibliography for study
Αριθμητική Ανάλυση με εφαρμογές σε MATHEMATICA και MATLAB,Γ. Παπαγεωργίου & Χ. Τσίτουρας, 2015, Εκδ. Τσότρας. Υπολογιστικά Μαθηματικά, M. Heath, 2016, Εκδόσεις Τζιόλα.
Last Update
15-03-2020