Mathematical Modeling
Collegejaar:  20162017 

Studiegidsnummer:  
Docent(en): 

Voertaal:  Engels 
Blackboard:  Ja 
EC:  5 
Niveau:  100 
Periode:  Semester 2, Blok IV 
Onderwijstijd in uren (excl. zelfstudie): 
35:00 uur 
 Geen Keuzevak
 Geen Contractonderwijs
 Geen Exchange
 Geen Study Abroad
 Geen Avondonderwijs
 Geen AlaCarte en Aanschuifonderwijs
 Geen Honours Class
Tags
Firstyear programme
Admissions requirements
LUC offers two firstyear mathematics courses in parallel: Mathematical Modelling and Mathematical Reasoning. Both courses assume that students satisfy the LUC mathematics admission requirements (see ‘remarks’ for further details).
The Mathematical Modelling course is the more advanced course, and requires good analytical reasoning skills. Choose this course if you are comfortable with symbolic manipulation and plan to follow higherlevel mathematics and modelling courses (see ‘remarks’).
Description
The goal of this course is to provide students with an introductory foundation in mathematical modelling and programming.
Mathematics has an important role in dealing with the complexity of global challenges. However, this role does not consist of the straightforward application of given mathematical concepts and procedures, as in textbook examples of mathematical applications. The problems connected to global challenges are far too complex to be dealt with directly and require adjustment and simplification before mathematics can be applied. This course will introduce students to the process of mathematical modelling. We will develop and study dynamical models as a means to study changes in time, and examine parameter dependence. Throughout the course we will work on projects that exemplify the role of models in practical applications.
In addition we will teach programming skills with R in this course. This is a versatile, multiplatform computer language, that is used by a large (and increasing) intenational community of scientists. It is used in several higherlevel courses at LUC, such as QRM, advanced QRM and Modelling Bioeconomic Dynamics.
Course objectives
After the course students should be able to:
 Describe the role of mathematical modelling in society and in the context of global challenges;
 Examine parameter dependence of mathematical relationships;
 Interpret and evaluate results of (a selection of) mathematical models in real world contexts;
 Develop a dynamical model for (not too complex) practical applications
 Write R code to examine model dynamics and plot results
Timetable
Once available, timetables will be published here.
Mode of instruction
Lectures, assignments, discussions, and projects.
Assessment
 Inclass participation: 10%
 Midterm exam: 30% (1 hour, session 1 of week 5)
 Three projects in pairs: total 30% (Friday midnight, weeks 2,4,6)
 Individual project report: 30% (Friday midnight, week 8)
Blackboard
There will be a Blackboard site available for this course. Students will be enrolled at least one week before the start of classes.
Reading list
Quantitative reasoning and the environment
Greg Langkamp and Joseph Hull, 2006 (1st edition)
Pearson Education Inc. (Note: Pearson copyright is 2007)
ISBN10: 013148527X • ISBN13: 9780131485273
Note: you should order this book well in advance!
Registration
This course is open to LUC students and LUC exchange students. Registration is coordinated by the Curriculum Coordinator. Interested nonLUC students should contact course.administration@luc.leidenuniv.nl.
Contact
Dr. P. Haccou (convener): p.haccou@luc.leidenuniv.nl
Remarks
Maakt deel uit van  Soort opleiding  Semester  Blok 

Liberal Arts and Sciences: Global Challenges  Bachelor  2  IV 