Courses Bachelor Display 20202021
Course Description  To PDF  

Course title  Calculus  
Course code  BENC1002  
ECTS credits  5,0  
Assessment  Whole/Half Grades  
Period 


Level  no level  
Coordinator 
Mathias Staudigl For more information: m.staudigl@maastrichtuniversity.nl 

Language of instruction  English  
Goals 
After passing this course, students will be able to perform basic singlevariable calculus operations. We will cover limits and continuity, differential calculus of a univariate function, inverse and transcendental functions, mean value theorem, integral calculus, sequences and series, an introduction to differential equations, and some approximation theory. In addition to the main facts and concepts, problemsolving strategies will be discussed. Throughout the course numerical and computational aspects are highlighted using the software package MATLAB and examples from business engineering are used to emphasize the relevance of the learned theory. Weekly exercises, presented and discussed in tutor groups, allow students to test and refine their understanding of the covered material.


Description 
PLEASE NOTE THAT THE INFORMATION ABOUT THE TEACHING AND ASSESSMENT METHOD(S) USED IN THIS COURSE IS WITH RESERVATION. THE INFORMATION PROVIDED HERE IS BASED ON THE COURSE SETUP PRIOR TO THE CORONAVIRUS CRISIS. AS A CONSEQUENCE OF THE CRISIS, COURSE COORDINATORS MAY BE FORCED TO CHANGE THE TEACHING AND ASSESSMENT METHODS USED. THE MOST UPTODATE INFORMATION ABOUT THE TEACHING/ASSESSMENT METHOD(S) WILL BE AVAILABLE IN THE COURSE SYLLABUS.
The course introduces some of the main mathematical tools, which must be known to modern business engineers. These include advanced integration techniques and the analysis of dynamical systems. The course offers students 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: * Calculate limits using the limit laws, the Sandwich Theorem and l'Hospital's rule. * Calculate derivatives by applying the product rule, quotient rule, and chain rule, and combinations thereof. In addition, the student can use these techniques to find the local and absolute extreme values of a given function. * Calculate Taylor expansions of concrete functions and use these expansions to compute limits and approximations for definite integrals. * Calculate integrals using the standard techniques of integration (substitution rule, integration by parts, trigonometric integrals and substitutions, integration of rational functions by partial fractions) and is able to recognize which technique is best used in a given situation. * Calculate with complex numbers, can plot them in the complex plane, is able to formulate and use DeMoivre's Theorem, can compute roots of a complex number and can solve equations in that way. The student can state the definition of the complex exponential function and can use that in applications. * Solve separable firstorder differential equations and can calculate the general solution of a firstorder linear differential equation by means of an integrating factor. * Solve homogeneous secondorder differential equations with constant coefficients and calculate a particular solution for nonhomogeneous equations using the method of undetermined coefficients. 

Literature 
Calculus, International Metric Edition , 8th Edition, James Stewart


Prerequisites 
The course unit assumes only prior knowledge acquired from Mathematics B as taught in preuniversity programmes (VWO) on Dutch secondary schools (or equivalent).


Keywords 


Teaching methods  PBL  
Assessment methods  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 
