## Linear Algebra and Multivariable Calculus

 Faculteit Science and Engineering Jaar 2019/20 Vakcode WPMA14005 Vaknaam Linear Algebra and Multivariable Calculus Niveau(s) 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. 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 dimenstions
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
Linear Algebra and Its Applications, 5th ed. Pearson International Edition
David C. Lay 9781292092232
Calculus. Early transcendentals. Newest (8th) Edition (International Student Edition), London: Thomson Learning
(also used for Calculus)
James Stewart 97813055272378
Fully worked-out solutions of all homework sets and midterm exam are provided.
Entreevoorwaarden The course unit assumes prior knowledge acquired from Calculus for AI or CS, 1st year of the BSc of AI & CS
Opmerkingen
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: Artificial Intelligence & Computing Science - semester II b Artificial Intelligence