Linear Algebra and Multivariable Calculus

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. set-up 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 first-order 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 multi-variable functions, with topics such as: partial derivatives, directional derivatives, gradients, extremes of a multi-variable function and multi-dimensional 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	Titel Auteur ISBN Prijs Fully worked-out solutions of all homework sets and midterm exam are provided. Linear Algebra and Its Applications, 5th ed. Pearson International Edition David C. Lay 9781292092232 ca. €  60,00 Calculus. Early transcendentals. Newest (9th) Edition (International Student Edition), London: Thomson Learning (also used for Calculus) James Stewart 9780357113516 ca. €  75,00
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 so-called ‘unofficial’ pre-master’s – please use the official procedure through the Board of Examiners form.
Opgenomen in	Opleiding Jaar Periode Type BSc Artificial Intelligence 1 semester II b verplicht BSc Computing Science 1 semester II b verplicht BSc Courses for Exchange Students: AI - Computing Science - Mathematics - semester II b Pre-master/Fast-track for MSc AI - CCS – CS - Math  (Artificial Intelligence) - semester II b -