Courses Bachelor Display 20212022
Course Description  To PDF  

Course title  Multivariable Calculus  
Course code  BENC2001  
ECTS credits  5,0  
Assessment  Whole/Half Grades  
Period 


Level  no level  
Coordinator 
Martijn Boussé For more information: m.bousse@maastrichtuniversity.nl 

Language of instruction  English  
Goals 
The aim of this course is to introduce the main mathematical tools relevant to modern business engineers. In particular, we will extend concepts from singlevariable calculus to functions of several variables. This course offers students an additional understanding of the role mathematics plays in modern society, the sciences, and the business world.
After completing this course, students should be able to: 1. Understand and use multivariate vector spaces, vector products, highdimensional geometries, multivariate vector functions and higher dimensional curves. 2. Understand, use, and graph multivariate functions. Understand the concepts of limits and continuity in higher dimensions. Can calculate partial derivatives by applying partial differentiation rules. In addition, the student can calculate directional derivatives, gradients, tangent planes, Taylor approximations, etc. 3. Understands basic concepts from (un)constrained optimization such as determining extreme values and saddle points of multivariate functions, using Lagrange multipliers to incorporate constraints, linear programming, etc. 4. Understand the meaning of multiple integrals and calculate multiple integrals by applying multivariate integration techniques. In addition, the student can compute areas, volumes, and related measures using multiple integrals. 5. Solve (systems of) first and secondorder differential equations. In addition, the student can interpret differential equations and their solutions for particular applications. 

Description 
As the world becomes flatter in today’s global economy, engineers are a key element in the role that a country must play to maintain technological leadership and a sound economy. To do this, the engineer needs to be equipped with a basic mathematical toolkit in order to be able to model and solve mathematical models arising in today’s industry. Hence, in this course, you will learn the main mathematical techniques, which are essential to the tackle problems in business engineering relying on precise quantitative answers research.
After passing this course, students will be able to perform basic multivariate calculus operations. In particular, we will extend concepts from singlevariable calculus to functions of several variables. We will cover vectors and higher dimensional geometries, vectorvalued functions and higher dimensional curves, partial differentiation and optimization, multivariable integration, and (systems of) first and secondorder differential equations. In addition to the main facts and concepts, problemsolving strategies will be discussed. Throughout the course, numerical and computation aspects are highlighted using software and examples from business engineering are used to emphasize the relevance of the learned theory. 

Literature 
University Calculus: Early Transcendentals in SI Units, 4th Edition by Joel R. Hass, M. D. Weir, Global Edition. ISBN: 9781292317304.


Prerequisites 
BENC1002 Calculus


Keywords 


Teaching methods (indicative; course manual is definitive)  PBL / Lecture  
Assessment methods (indicative; course manual is definitive)  Written Exam / Assignment  
Evaluation in previous academic year  For the complete evaluation of this course please click "here"  
This course belongs to the following programmes / specialisations 
