Numerical Analysis

Course Information
TitleΑΡΙΘΜΗΤΙΚΗ ΑΝΑΛΥΣΗ / Numerical Analysis
Cycle / Level1st / Undergraduate
Teaching PeriodWinter/Spring
Course ID40000481

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

Registered students: 430
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course535.5

Class Information
Academic Year2020 – 2021
Class PeriodWinter
Instructors from Other Categories
Weekly Hours3
Class ID
1. ΤΜΗΜΑ ΑAikaterini Chatzifoteinou
2. ΤΜΗΜΑ ΒAikaterini Chatzifoteinou
3. ΕΡΓΑΣΤΗΡΙΟAikaterini Chatzifoteinou
Course Type 2011-2015
General Foundation
Mode of Delivery
  • Face to face
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
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)
Errors - Number systems and number representation - Floating point arithmetic – Evaluation of polynomials - Interpolation and approximation with difference methods - Interpolation by Lagrange, Newton and Hermite polynomials - Error analysis – Numerical differentiation - Numerical integration by rectangle, midpoint, trapezoid, corrected trapezoid, Simpson, Richardson and Romberg methods - Numerical solution of non-linear equations by methods of bisection, Regula-falsi, Newton-Raphson and secant. The fixed point iteration method. Convergence criteria.
Errors, Machine 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
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
Laboratory Work401.3
Reading Assigment832.8
Student Assessment
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)
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.
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