Linear Algebra & Multivariable Calculus for Chemistry

Uitgebreide vaknaam	Linear Algebra & Multivariable Calculus for Chemistry
Leerdoelen	At the end of the course, the student is able to: 1. Determine vector properties (linear independence, basis, dimension). 2. Analyse and solve systems of linear equations. 3. Set-up and analyse linear transformations. 4. Perform matrix operations (multiplication, inverse). 5. Compute determinants. 6. Compute eigenvalues and eigenvectors and employ these in practical applications. 7. Solve systems of first-order linear differential equations. 8. Compute and analyse basic geometry (lines, planes and intersections). 9. Perform partial differentiation. 10. Compute extremes, gradient, tangent planes, and linear approximations.
Omschrijving	In this course, first basic concepts and skills in the area of linear algebra are discussed. Subsequently, functions of one variable are extended to multi-variable functions, with topics such as: partial derivatives, directional derivatives, gradients, extrema and multiple integration. The material is illustrated through examples that focus on the applications of mathematical techniques.
Uren per week
Onderwijsvorm	Hoorcollege (LC), Werkcollege (T)
Toetsvorm	Opdracht (AST), Schriftelijk tentamen (WE), Tussentoets (IT) (The grade for this course is composed as max(FE, 0.2 H + 0.2 ME + 0.6 FE) where FE is the mark for the final exam, ME is the mark for the midterm exam and H is the mark for the homework assignments. If the mark for the final exam is less than 4.5 then the grade is given by the mark for the final exam. ME and H do not count for the re-exam. Programmable calculators are not allowed.)
Vaksoort	bachelor
Coördinator	P. Lamprou, PhD.
Docent(en)	P. Lamprou, PhD.
Verplichte literatuur	Titel Auteur ISBN Prijs Calculus. Early transcendentals. Newest (8th) Edition(International Student Edition), London: Thomson Learning (also used for Calculus) James Stewart 97813055272378 Linear Algebra and Its Applications, 5th ed. Pearson International Edition David C. Lay 9781292092232
Entreevoorwaarden	The course unit assumes prior knowledge acquired from Calculus for Chemistry, 1st year of the BSc of Chemistry and Chemical Engineering
Opmerkingen
Opgenomen in	Opleiding Jaar Periode Type BSc Chemistry  ( Core programme) 2 semester I b verplicht BSc Courses for Exchange Students: Chemistry - Chemical Engineering - semester I b Chemistry / Chemical Engineering