MODULE 5: mathematical statistics and analysis
In this module you will study statistical data on linear relationships. For this you will use an advanced software package, SPSS. In the Mathematical statistics part of the module, you will learn much of the underlying theory. Alongside that, in the second part of the module, you will continue to develop your knowledge of basic mathematics: Analysis. This is something you already started learning in module 2 in your first year. And finally, you will learn how to do an oral presentation on a mathematical topic, presenting a subject that is new to you and your audience and getting feedback from the teacher and your fellow students. The topics selected for this exercise are not part of the modules or even of the curriculum, so you really will only be evaluated on how clearly you present your information.
MODULE 6: dynamic models
Mathematical models often involve differential equations. These models are called dynamic, because they show the relationship between the variables and their changes. In so-called static models, on the other hand, only the variables are represented. In the sixth module you will study dynamic models from the perspective of differential equation, mathematical system theory and numerical aspect, making use of MATLAB mathematical software.
MODULE 7: efficient algorithms for discrete structures
You will follow this module together with students doing our Bachelor’s programme in Technical Computer Science. You will be studying so-called discrete structures. As opposed to continuous structures, such as a collection of real numbers, these structures are about finite or countable infinite sets and variations thereof. The focus is on calculations within such sets, such as finding the shortest path between a certain number of points and the links between those points. The computability and complexity of these calculations are important factors. You will use elements from abstract algebra, such as groups, rings and fields, but also finite automata and Turing machines.
MODULE 8: STOCHASTIC METHODS FOR OPERATIONS MANAGEMENT
You will follow parts of this module together with students doing our Bachelor’s programmes in Industrial Engineering and Management and Civil Engineering. As far as mathematics is concerned, this module is about Markov chains. These are stochastic models, or models in which outcomes depend on chance and where you go from state to state according to a given probability distribution, regardless of where you stood in the past. These models are used for all sorts of applications, like modelling queues for example. They also play a vital role in modelling and stimulating complex stochastic systems. In your project you will learn how to use such models to make good decisions in practical situations in which change plays an important role, for example, logistics, a hospital environment and traffic.
Take a look at the study programme for the third year.