Course Contents 
Linear algebra: Gaussian elimination, determinants, inversion, norm, rank, sparse/banded matrices; Nonlinear algebra: bracketing, iterative methods, Newton, secant, systems of nonlinear equations, LevenbergMarquart, steepest descent; Eigenvalues; Initial value problems: ODE's, Euler, implicit/explicit, stability/accuracy, stiff problems, DAE systems; Optimization: parameter estimation, least squares; Boundary value problems: finite differences, upwinding, preconditioning; Fourier analysis: convolution, correlation; Probability: distributions, MonteCarlo;

Education Method 
During 14 weeks, we will have one lecture (2 hours) and one handson Matlab practice session (4 hours) per week; The theory is explained in the weekly lectures, and tested during two examns; During the Matlab sessions you learn to apply the theory, through using Matlab, to a variety of ChemE problems; Your Matlab skills are tested in 2 series of mandatory homework assignments;

Literature and Study Materials 
(parts of): Numerical Methods for Chemical Engineering: Applications in Matlab, Kenneth J. Beers, Cambridge University Press, 2007 Selected extra material available via Blackboard (Course Documents)

Assessment 
There is an (open book) theory exam after the first period and a theory exam after the second period. Only the book can be used during these exams, no lecture notes etc. There is a resit for both exams after the third period. There is a series of mandatory homework assignments during the first period, and a series of mandatory homework assignments during the second period. The final grade is a weighted average over the 2 exam grades (25% each) and the two series of homework assignments (25% each). A passing grade can only be obtained if a score of at least 4.5 is obtained for each of the two theory exams. Please note that the mandatory homework has to be done in the precribed periods, and that homework grades cannot be improved later.
