Numerical Analysis (ΑΑ1)
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 Department of Mathematics
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General
School  School of Science 

Academic Unit  Department of Mathematics 
Level of Studies  Graduate 
Course Code  AA1 
Semester  1 
Course Title  Numerical Analysis 
Independent Teaching Activities  Lectures (Weekly Teaching Hours: 3, Credits: 7.5) 
Course Type  Special background, skills development. 
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:


General Competences 

Syllabus
 Differentiation in n, Fréchet and Gateaux derivatives. Newton’s method for systems of nonlinear equations. Fixedpoint and contraction theorems. Order of convergence of Newton’s method.
 Numerical solution of systems of ordinary differential equations. Singlestep and multistep methods. Consistency, stability, and convergence. Stiff problems.
 Polynomial interpolation: Lagrange and Hermite interpolation. Linear and cubic splines. Error analysis of interpolation.
Teaching and Learning Methods  Evaluation
Delivery  Facetoface.  

Use of Information and Communications Technology 
 
Teaching Methods 
 
Student Performance Evaluation 

Attached Bibliography
 Αριθμητική Ανάλυση, Β. Δουγαλής, Πανεπιστημίου Αθηνών.