Introduction to Numerical Analysis (MAY341)

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General

School

School of Science

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) -

Learning Outcomes

Learning outcomes

After successful end of this course, students will be able to:

  • know the behavior of roundoff errors in computations and to choose stable methods for the solution of problems,
  • be aware and apply the taught methods for the solution of nonlinear equations and to study their convergence,
  • be aware and apply the basic direct and iterative methods for the solution of linear systems of equations, to know their advantages and to choose the appropriate method,
  • be aware and apply the taught methods to approximate functions by polynomial interpolation,
  • be aware and apply the taught methods to approximate integrals of functions by numerical integration and to study the behavior of the errors,
  • 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

Error Analysis. Numerical Solution of Nonlinear Equations: Iterative Methods, Newton’s Method, Secant Method. Numerical Solution of Linear Systems: Direct Methods (Gauss Elimination, LU factorization), Iterative Methods (Jacobi, Gauss-Seidel). Polynomial Interpolation: Lagrange method, Method of divided differences of Newton. Numerical Integration: Simple and Generated Rules of Numerical Integration, Trapezoidal Rule, Simpson’s Rule, Error analysis of Numerical Integration.

Teaching and Learning Methods - Evaluation

Delivery

In the class

Use of Information and Communications Technology -
Teaching Methods
Activity Semester Workload
Lectures (13X4) 52
Study and analysis of bibliography 104
Exercises-Homeworks 31.5
Course total 187.5
Student Performance Evaluation

Written examination.

Attached Bibliography

  • "Introduction to Numerical Analysis". Akrivis G.D., Dougalis B.A, Crete University Press, 4th Edition, 2010.
  • "Numerical Analysis: Introduction", Vrachatis M.N, Klidarithmos Press, 2011.