Numerical Methods

Uitgebreide vaknaam	Numerical Methods
Leerdoelen	The student is able to: 1. assess the correctness and accuracy of the method, give error estimates, and compute improved solutions (extrapolations) for fixed-point methods 2. assess the correctness and accuracy of the method, give error estimates, and compute improved solutions (extrapolations) for numerical integration 3. assess the correctness and accuracy of the method, give error estimates, and compute improved solutions (extrapolations) for solving ordinary differential equations 4. assess the correctness and accuracy of the method, give error estimates, and compute improved solutions (extrapolations) for interpolation and least-squares fitting 5. assess the correctness and accuracy of the method, give error estimates, and compute improved solutions (extrapolations) for solving systems of linear equations 6. assess the correctness and accuracy of the method, give error estimates, and compute improved solutions (extrapolations) for solving (partial-)differential equations
Omschrijving	Within various science disciplines, models are formulated in terms of mathematical equations. However, many mathematical problems cannot be solved analytically (with pen and paper), because the calculations are too difficult, or simply too much work. Moreover, in many cases there is no analytic solution to these problems at all. Numerical Mathematics provides the methods and techniques to approach the solution in a numerically (in numbers) sufficiently accurate way. With current computers, the possibilities in this respect have increased dramatically and simulation software based on these techniques is used in the development of many products. In this course the following fundamental techniques will be discussed: Fixed-point methods, solving systems of linear equations, interpolation and least-squares fitting, numerical integration and solving (partial-)differential equations.
Uren per week
Onderwijsvorm	Hoorcollege (LC), Practisch werk (PRC) (For each practicum the student can earn a maximum of 3 points (0=not yet done, 1=bad, 2=moderate, 2.5=good, 3=excellent). For the exam the student can earn a maximum of 72 points. Together with 10 free points this adds up to a total of 100 points. Final grades will be rounded according to half point)
Toetsvorm	Opdracht (AST), Schriftelijk tentamen (WE)
Vaksoort	bachelor
Coördinator	dr. ir. R. Luppes
Docent(en)	dr. ir. R. Luppes
Verplichte literatuur	Titel Auteur ISBN Prijs Any introductory book on numerical methods can serve as reference. The lectures are supported by means of overhead slides (also available through Nestor).
Entreevoorwaarden	The course unit assumes prior knowledge acquired from Calculus for IEM (1st year IEM) and Linear Algebra and Multi Variable Calculus for IEM (1st year IEM). The course unit is often followed by, and prepares students for, the course Product design by the Finite Element method (1st year MSc IEM), in which the learning objectives attained are required as prior knowledge .
Opmerkingen	In period 1a the course is offered for the IEM programme and in period 2a the course is offered for the BMT programme. This course was registered last year with course code WINMTBK-09
Opgenomen in	Opleiding Jaar Periode Type MSc Farmacie  (Keuzevakken) - semester II a keuze Pre-master/Fast-track for MSc Engineering: BME – IEM - ME  (Pre-Master ME for RUG BSc Physics) - semester II a NM Option B Pre-master/Fast-track for MSc Engineering: BME – IEM - ME  (Pre-Master ME Applied University) - semester II a NM Option B Wordt meermaals per jaar gegeven: - semester II a - Wordt meermaals per jaar gegeven: - semester I a -