Courses Bachelor Display 2021-2022

Course Description To PDF
Course title Multivariable Calculus
Course code BENC2001
ECTS credits 5,0
Assessment Whole/Half Grades
Period
Period Start End Mon Tue Wed Thu Fri
1 30-8-2021 15-10-2021 X X L
Level no level
Coordinator Martijn Boussé
For more information: m.bousse@maastrichtuniversity.nl
Language of instruction English
Goals
Educate student in the mathematics of:
* Multivariate vector spaces and higher dimensional geometries
* Multivariate vector functions, higher dimensional curves, and Gaussian curvature
* Partial differentiation
* Multivariable integration
* Vector and scalar fields and manifolds
* Vector and tensor calculus
Description
This course is intended to introduce students in the essential mathematics required to describe and analyse continuous systems consisting of a number of variables.
Multivariate calculus is the extension of calculus in one variable to calculus with functions of several variables: the differentiation and integration of functions involving multiple variables, rather than just one. Considerable attention will be devoted to vector calculus, or analysis, and will be concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space. Vector calculus plays an important role in differential geometry and in the study of partial differential equations. Multivariate calculus is used extensively in physics and engineering, especially in the description of electromagnetic fields, gravitational fields and fluid flow.
Literature
We will use (note that you use the right edition!):
* "Calculus, A Complete Course" by A. Adams and C. Essex, (7 or 8?) th Edition - Pearson 2014 (US)
Prerequisites
Keywords
Teaching methods (indicative; course manual is definitive) Lecture / Groupwork
Assessment methods (indicative; course manual is definitive) Written Exam
Evaluation in previous academic year For the complete evaluation of this course please click "here"
This course belongs to the following programmes / specialisations
Bachelor Business Engineering Year 2 Compulsory Course(s)