Numerical Methods
Faculteit  Science and Engineering 
Jaar  2018/19 
Vakcode  WINMTBK09 
Vaknaam  Numerical Methods 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester II a
(dit vak wordt ook buiten deze periode aangeboden; zie opmerkingen)

ECTS  5 
Rooster  Schedule generator Ia, IIa 
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 fixedpoint 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 leastsquares 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: Fixedpoint methods, solving systems of linear equations, interpolation and leastsquares fitting, numerical integration and solving (partial)differential equations. 

Uren per week  
Onderwijsvorm 
Hoorcollege (LC), Practisch werk (PRC)
(Total hours of lectures: 24 hours, computer practicals: 30 hours, self study: 86 hours. There are 6 obligatory computer practica during the lecture period.) 

Toetsvorm 
Opdracht (AST), Schriftelijk tentamen (WE)
(For each practical students have to prepare a short report which, together with the accompanying matlab files, are graded by a teaching assistant. Practicals are done in pairs. Written exam with open questions (open book exam) contains a number of questions of the kind “Compute..”, “Determine..''. For the computation of the final grade see the remarks below) 

Vaksoort  bachelor  
Coördinator  dr. ir. R. Luppes  
Docent(en)  dr. ir. J.P.M. Beijers ,dr. ir. R. Luppes  
Verplichte literatuur 


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. For each practical assignment 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 points, except for the final grade 5.5. There are 6 obligatory computer practica during the lecture period. For each practicum students have to prepare a short report, which, together with the accompanying matlab files, are graded by a teaching assistaent. This has to be done before a specified deadline. The practicals are done in pairs. 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 halfve points, except for the final grade 5.5. 

Opgenomen in 
