## Linear Algebra & Multivariable Calculus for Chemistry

 Faculteit Science and Engineering Jaar 2021/22 Vakcode WBCH011-05 Vaknaam Linear Algebra & Multivariable Calculus for Chemistry Niveau(s) bachelor Voertaal Engels Periode semester I b (dit vak wordt ook buiten deze periode aangeboden; zie opmerkingen) ECTS 5 Rooster Ib, IIb

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 This course was registered last year with course code WBMA14001
Opgenomen in
Opleiding Jaar Periode Type
BSc Chemical Engineering 1 semester II b verplicht
BSc Chemistry  ( Core programme) 2 semester I b verplicht
BSc Chemistry  ( Core programme) 1 semester II b verplicht
BSc Courses for Exchange Students: Chemistry - Chemical Engineering - semester I b