Mathematical Reasoning
Year:  20172018 

Catalog number:  
Teacher(s): 

Language:  English 
Blackboard:  Unknown 
EC:  5 
Level:  100 
Period:  Semester 2, Block IV 
Hours of study:  35:00 hrs 
 No Elective choice
 No Contractonderwijs
 No Exchange
 No Study Abroad
 No Evening course
 No A la Carte
 No Honours Class
Tags
Y1
Admissions requirements
None, compulsory Year 1 course.
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 Reasoning course requires less mathematical proficiency than the Mathematical Modelling course. Students who are more comfortable with basic numerical computations rather than complex symbolic manipulation and do not plan to follow higherlevel mathematics and modelling courses are advised to choose the 'Mathematical Reasoning' course.
Description
The goal of this course is for students to understand how to apply basic mathematics to address complex – real world – problems.
The basic mathematical concepts and procedures that you have learned up to now can be considered as 'mathematical tools'. In high school you were taught how to use these tools by applying them to carefully selected problems, where the required procedure is made explicitly clear. Because the problems involved in real world applications are far more complex than school textbook examples, it is usually not immediately clear which mathematical procedures are best suited to address complex issues. In this course we consider discrete time dynamical models as a tool to examine such issues. We will study such models in the context of several global challenges.
Course objectives
After successful completion of this course students should be able to:
 Apply mathematical reasoning and basic mathematical procedures to gain insight in (not too complex) practical applications
 Discuss results of applied mathematical reasoning in practical contexts.
 Apply discrete time models in a practical context
 Analyse discrete time models and interpret their results in a practical context
Timetable
Once available, timetables will be published here.
Mode of instruction
Lectures, assignments, discussions, and projects.
Assessment
 Inclass participation: 5%
 Final exam: 30% (week 8)
 Four quizzes: total 40% (weeks 2,3,5,7)
 Individual project report: 25% (week 9)
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
Mathematics for Global Challenges, by P. Haccou
A pdf of the textbook will be provided free of charge
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
It is assumed that students have a good working knowledge of the following concepts and techniques: arithmetic and algebraic computation, standard functions (polynomials, power functions, exponentials and logarithms), trigonometry, and functions and graphs. Students are advised to review these concepts and techniques before the onset of the course. If needed, students may make use of the twoweek preparatory remedial course in January, and/or quantitative/math student assistants provided by LUC. Additional “selfstudy” materials are available in the form of online resources (for information consult the course convener).
Is part of  Programme type  Semester  Block 

Liberal Arts and Sciences: Global Challenges  Bachelor  2  IV 