Introduction to Numerical Analysis (MAY341): Διαφορά μεταξύ των αναθεωρήσεων
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=== General === | === General === |
Τελευταία αναθεώρηση της 12:23, 15 Ιουνίου 2023
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General
School |
School of Science |
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Academic Unit |
Department of Mathematics |
Level of Studies |
Undergraduate |
Course Code |
ΜΑY341 |
Semester | 3 |
Course Title |
Introduction to Numerical Analysis |
Independent Teaching Activities |
Lectures (Weekly Teaching Hours: 4, Credits: 7.5) |
Course Type |
General Background |
Prerequisite Courses | - |
Language of Instruction and Examinations |
Greek |
Is the Course Offered to Erasmus Students |
Yes (in English) |
Course Website (URL) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
Learning outcomes |
Upon successful completion of this course, students will be able to:
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General Competences |
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Syllabus
- Error Analysis.
- Numerical solution of nonlinear equations: iterative methods, the fixed-point theorem, Newton’s method, the secant method.
- Numerical solution of linear systems: Matrix norms and conditioning. Direct Methods (Gauss elimination, LU factorization). Iterative methods, convergence, and examples of iterative methods (Jacobi, Gauss-Seidel).
- Polynomial interpolation: Lagrange and Hermite interpolation. Linear splines. Error analysis of interpolation.
- Numerical integration: Newton-Cotes quadrature formula (the trapezoidal rule and Simpson’s rule). Error analysis of numerical integration.
Teaching and Learning Methods - Evaluation
Delivery |
Face-to-face | ||||||||||
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Use of Information and Communications Technology |
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Teaching Methods |
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Student Performance Evaluation |
Written examination (Weighting 100%, addressing learning outcomes 1-4) |
Attached Bibliography
See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:
- “An Introduction to Numerical Analysis”, E. Süli, and D. Mayers, Cambridge University Press, Cambridge, 2003.