Course Catalog 2009-2010 International Basic Pori International Postgraduate Open University |Degrees|     |Study blocks|     |Courses|

Person responsible

Robert Piche

Implementations

	Lecture times and places	Target group recommended to
Implementation 1	Periods 3 3 - 0
Implementation 2	Periods Summer - 0

Requirements

Exam

Principles and baselines related to teaching and learning

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Learning outcomes

Theory and practical application of essential numerical methods for scientific and engineering problem solving.

Content

Content	Core content	Complementary knowledge	Specialist knowledge
1.	Error analysis	Sources of error, error characterization, sensitivity, cancellation
2.	Solving a nonlinear equation	root multiplicity, bisection, Newton & secant method, convergence, stopping criteria
3.	Interpolation and approximation	uniqueness, error, formulas (Newton, Neville, Lagrange), Runge example, Hermite interpolation, least squares & orthogonal polynomials
4.	Integration	quadrature formulas from polynomials, composite Newton-Cotes methods, Romberg method, adaptive quadrature, improper integrals
5.	Differential equation initial value problems	standard form, Euler's, Heun's, and Runge-Kutta methods, adaptive step size, numerical stability, stiff solvers

Study material

Type	Name	Author	ISBN	URL	Edition, availability, ...	Examination material	Language
Book	Introduction to Numerical Computation	Lars Eldén et al.	91-44-03727-9		Studentlitteratur, 2004		English

Correspondence of content

More precise information per implementation

	Description	Methods of instruction	Implementation
Implementation 1	Lectures are in Finnish but exercises (Tue 12-14 TB215, Thu 12-14 Sb204, Thu 14-16 Tb215, Fri 12-14 Sb204) are in English. You are expected to read the textbook and do some problems before the exercise session. Quizzes are held at all sessions. Exercises start Jan 7.		Contact teaching: 0 % Distance learning: 0 % Self-directed learning: 0 %
Implementation 2	Summer Course MAT-31106 / Kesäkurssi MAT-31101 August 2-27, 2010. Lectures are given in Finnish. All material is in English. Exercise Sessions are run both in English and in Finnish. Luennot pidetään suomeksi. Kaikki materiaali on englanniksi. Harjoitukset pidetään suomeksi ja englanniksi.

Last modified	18.05.2010
Modifier	Piia Asunmaa