Faculteit  Science and Engineering 
Jaar  2019/20 
Vakcode  WBMA14001 
Vaknaam  Linear Algebra & Multivariable Calculus for Chemistry 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester I b 
ECTS  5 
Rooster  rooster.rug.nl 
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. Setup 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 firstorder 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 multivariable 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 reexam. Programmable calculators are not allowed.) 

Vaksoort  bachelor  
Coördinator  P. Lamprou, PhD.  
Docent(en)  P. Lamprou, PhD.  
Verplichte literatuur 


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 
