Linear Algebra and Multivariable Calculus
Faculteit  Science and Engineering 
Jaar  2021/22 
Vakcode  WBAI05005 
Vaknaam  Linear Algebra and Multivariable Calculus 
Niveau(s)  bachelor, propedeuse 
Voertaal  Engels 
Periode  semester II b 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Linear Algebra and Multivariable Calculus  
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 systems of 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, compute extremes, gradient, tangent planes, and linear approximations 10. compute integrals in 2 and 3 dimensions 

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, extremes of a multivariable function and multidimensional 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 final grade, G, is computed from: 1) If both HW>ET and MT>ET: G = (3*ET + MT + HW)/5 2) If only HW>ET: G = (4*ET + HW)/5 3) If only MT>ET: G = (4*ET + MT)/5 4) If both HW<ET and MT<ET: G = ET As a constraint, to include HW and/or MT in the calculation, ET should be >= 4.5 ET: grade of final written exam MT: grade of the midterm exam HW: Average grade of the 3 highest graded homework assignments) 

Vaksoort  propedeuse  
Coördinator  prof. dr. R.M. Mendez  
Docent(en)  prof. dr. R.M. Mendez  
Verplichte literatuur 


Entreevoorwaarden  Mandatory: No prior knowledge is assumed. Advised: The course unit assumes prior knowledge acquired from Calculus for AI or CS, in the 1st year of the BScs of AI & CS. 

Opmerkingen  Artificial Intelligence (BSc) is a Fixed Quota (Numerus Fixus) programme. As a consequence, their courses (course code WBAI) are closed for students that are not registered under the AI BSc programme, unless the course is part of the mandatory curriculum of their programme. If you wish to take this course in your minor – or as part of a socalled ‘unofficial’ premaster’s – please use the official procedure through the Board of Examiners form.  
Opgenomen in 
