During the second year of the Bachelor’s Applied Mathematics your knowledge of mathematics and its application potential will grow. The assignments and projects you work on become more realistic and complex.
In this module you will learn to look for linear relationships in statistical data, using an advanced software package, SPSS. In the Mathematical statistics part of the module, you will learn much of the underlying theory. You will continue to develop your knowledge of basic mathematics in Analysis, Part 2 (having done Part 1 in module 2 of the first year). Also, you will learn in this module how to reflect on different cultures within and outside the field of mathematics. For example, the different approaches mathematicians take and consider to develop a theory, or how the same behaviour can be interpreted differently in different cultures. In this module you will follow courses like Mathematical Statistics, Analysis II, Prooflab Revisited: Diversity in Cultures.
Mathematical models often involve differential equations. Such models are called dynamic, because they show the relationship between the variables and their changes, whereas so-called static models only represent the variables. In this module you will study dynamic models from the perspective of differential equations, mathematical system theory and numerical aspects, making use of MATLAB software. In the team project you will create a model for a dynamic process of the body, such as walking or running or jumping. The challenge here is to capture in a model the combination of stability and movement that characterises that movement. In this module you will follow courses like Ordinary Differential Equations, Systems Theory, Numerical Mathematics.
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 countably infinite sets and variations thereon. The focus is on making 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, as well as finite automata and Turing machines. This module is joint with Technical Computer Science. In this module you will follow courses like Algorithmic Discrete Mathematics, Algebra, Implementation Project on Graph Isomorphism.
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 in which you go from state to state according to a given probability distribution, regardless of where you were in the past. These models find all sorts of applications, for example, in modelling queues. They also play a vital role in modelling and simulating complex stochastic systems. In your multidisciplinary project group, together with Civil Engineering and Industrial Engineering and Management students, you will learn how to use such models to make good decisions in practical situations in which chance plays an important role, for example, logistics, a hospital environment or traffic. In this module you will follow courses like Stochastic Models, Markov Chains, Multidisciplinary Project.