Numerical Mathematics 1
Faculteit  Science and Engineering 
Jaar  2019/20 
Vakcode  WINM107 
Vaknaam  Numerical Mathematics 1 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester II b 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Numerical Mathematics 1  
Leerdoelen  At the end of the course, the student is able to: 1. describe the methods mentioned in the course description. 2. verify basic concepts from Numerical Analysis related to the subjects mentioned in the description, like stability and convergence 4. create an algorithm from a given numerical method and to implement it in MATLAB. 5. assess some of the difficulties that may come up when solving a problem on a computer by a specific algorithm, specifically, the difficulties arising from finite precision computations (propagation of roundoff errors), limited memory availability, and finite computation speed (complexity of the algorithm). 6. make a judicious choice from the discussed methods for a particular problem by taking into account the main mathematical properties and computational performance. 

Omschrijving  Most mathematical problems cannot be solved analytically. Numerical mathematics supplies the tools to solve such problems approximately by the computer. In this course we will treat both the theory and algorithms of numerical methods for solving the following problems: Unit 1 • Polynomial interpolation • Numerical integration Unit 2 • Nonlinear (systems) of equations • Linear systems of equations Unit 3 • (Systems of) ordinary differential equations 

Uren per week  
Onderwijsvorm  Hoorcollege (LC), Practisch werk (PRC), Werkcollege (T)  
Toetsvorm 
Practisch werk (PR), Schriftelijk tentamen (WE)
(Each of the units will be evaluated by a practical Pi, test Ti and exam question Ei, i=1,2,3. To pass the course, each Pi>=5.5 and (Ti+Ei)/2>=5.5 is required. Notpassed Pi can be repaired during the next unit. The reexamination question Ri replaces the worse grade between Ti and Ei. If the course is passed, the final grade will be (PR1+PR2+PR2)/3*0.4+(T1+T2+T3+E1+E2+E3)*0.1. The attendance to the grading activity (e.g oral discussion with the TA) of the practicals is mandatory. Deadlines will be set; not meeting a deadline will result in the minimal grade for the associated activity.) 

Vaksoort  bachelor en master  
Coördinator  dr. C.A. Bertoglio  
Docent(en)  dr. C.A. Bertoglio  
Verplichte literatuur 


Entreevoorwaarden  Basic knowledge of linear algebra (eigenvalues, eigenvectors, norms), calculus (differentiation, integration, Taylor series of multivariate functions) and ordinary differential equations (modeling). Background knowledge and skill in handling basic numerical techniques and programming in MATLAB. In particular the student should be able to work with functions and to pass an anonymous function as a parameter. Also, the student should be able to work with iteration loops. 

Opmerkingen  This course is a prerequisite for the courses Computational Methods of Science, Numerical Mathematics 2, in general for all more advanced Numerical Mathematics courses.  
Opgenomen in 
