Numerical Analysis (MAE642)

Undergraduate Courses Outlines - Department of Mathematics

General

School	School of Science
Academic Unit	Department of Mathematics
Level of Studies	Undergraduate
Course Code	ΜΑΕ642
Semester	6
Course Title	Numerical Analysis
Independent Teaching Activities	Lectures (Weekly Teaching Hours: 3, Credits: 6)
Course Type	Special Background
Prerequisite Courses	-
Language of Instruction and Examinations	Greek
Is the Course Offered to Erasmus Students	Yes (in English)
Course Website (URL)	-

Learning Outcomes

Learning outcomes	After successful end of this course, students will be able to: understand the basic theory of orthogonal polynomials, be aware and apply the taught methods of numerical integration be aware and apply the taught methods for numerical solution of equations and nonlinear systems, implement the above methods with programs on the computer.
General Competences	Search for, analysis and synthesis of data and information, with the use of the necessary technology Adapting to new situations Criticism and self-criticism Production of free, creative and inductive thinking

Syllabus

Sets of Orthogonal Polynomials: Legendre, Chebyshev. Numerical Integration: Newton-Cotes, Chebyshev, Gauss-Legendre, Gauss-Chebyshev. Numerical Solution of Equations: Newton's Method, Secant Method, Aitken-Steffensen Methods. Numerical Solution of Nonlinear Systems: Newton's Method.

Teaching and Learning Methods - Evaluation

Delivery

In the class

Use of Information and Communications Technology

-

Teaching Methods

Activity	Semester Workload
Lectures	39
Study and analysis of bibliografy	104
Exercises-Homeworks	33
Course total	150

Student Performance Evaluation

Written examination

Attached Bibliography

See Eudoxus. Additionally:

"Introduction to Numerical Analysis". Akrivis G.D., Dougalis B.A, Crete University Press, 4th Edition, 2010.