Linear Algebra for Chemical Engineering

Uitgebreide vaknaam	Linear Algebra for Chemical Engineering
Leerdoelen	1) Determine properties of vectors (linear independence) and vector spaces (dimension, basis). 2) Inspect the (in)consistency and solve (in)homogeneous systems of linear algebraic equations. 3) Perform and analyse properties of linear transformations of vector spaces. 4) Perform matrix operations (multiplication, inverse). 5) Compute determinants. 6) Compute eigenvalues and eigenvectors, and employ these in applications (e.g., solve systems of first-order (in)homogeneous linear differential equations with constant coefficients). 7) Analyse basic geometry of linear objects (lines, planes and intersections) in vector spaces.
Omschrijving	Many physical values such as velocity, acceleration, force, electric and magnetic field or dipole momentum (but unlike electric charge, temperature, pressure, or density) amount not only to the magnitude but also direction in space for their mathematical description. Unlike points on a sphere, velocities or forces and EM fields can be added and multiplied by numbers (positive, negative, or zero). The unifying concept of vector space allows working with these mathematical descriptions in a uniform fashion. This is important for calculations and design in engineering applications (e.g., to solve systems of linear algebraic equations and of ordinary differential equations, approximate curves in space by graphs of polynomials, or count the number of degrees of freedom). In this course, basic concepts from linear algebra are introduced and first skills trained. From elementary ideas of linear (in)dependence, dimension, and finding a basis in space we proceed to linear transformations of vector spaces (determinant of matrix, product of matrices and the inverse). We practice in solving (in)homogeneous systems of linear algebraic equations and compute eigenvalues and eigenvectors of linear operators. The theory will be applied to linear geometry of lines, hyperplanes, and intersections in vector spaces. The material is illustrated through examples.
Uren per week
Onderwijsvorm	Hoorcollege (LC), Werkcollege (T)
Toetsvorm	Opdracht (AST), Schriftelijk tentamen (WE) (If the mark for the final exam is less than 4.5 then the grade is given by the mark for the final exam. Otherwise, the grade for this course is composed as max( FE, 0.3 H + 0.7 FE ), where FE is the grade for the final exam and H is the mark for the homework assignments. Homeworks count for the re-exam. Programmable calculators are not allowed.)
Vaksoort	bachelor
Coördinator	A.V. Kiselev
Docent(en)	A.V. Kiselev
Verplichte literatuur	Titel Auteur ISBN Prijs Linear Algebra with Applications. 8th ed. (Pearson International Edition) Steven J. Leon 978-0135128671 Linear Algebra and Its Applications, 5th ed. (Pearson International Edition) David C. Lay 978-1292092232
Entreevoorwaarden	Prior knowledge assumed: Calculus for Chemistry, 1st year of the BSc of Chemistry and Chemical Engineering
Opmerkingen	Preparation for: Multivariable calculus, Ordinary differential equations, Optimization and control This course was registered last year with course code WBMA19007
Opgenomen in	Opleiding Jaar Periode Type BSc Chemical Engineering 2 semester I b verplicht