Pre-master Spatial Engineering

Upon completion of the mathematics course you are able to:

• formulate definitions and properties of functions of one variable
• calculate limits, for instance, to demonstrate continuity or to calculate the derivative with the definition
• calculate the derivative of a function, and also to calculate extreme values and inflexion points
• reproduce the definition of continuity, differentiability and integrability of functions of two or more variables
• reproduce the definition of the partial derivative of a function of two variables
• apply the chain rule for functions of more than one variable
• calculate the directional derivative and the gradient vector, and apply the rules for the gradient
• find the extreme values of functions of more than one variable
• calculate double and triple integrals over a general defined region
• apply standard coordinate transformations (polar, cylindrical and spherical) to multiple integrals
• work with divergence and curl of a vector field
• calculate line and surface integrals of functions and vector fields over general regions
• formulate the notions of series, sequences and absolute and relative convergence
• determine the convergence of series and sequences
• apply probability models, stochastic processes and statistical techniques
• make statistical approximations of unknown variables.

Upon completion of the academic research skills course you are able to:

• explain what (academic) research is, which kinds of research and which phases can be distinguished and how the quality of the research can be guaranteed
• to formulate research questions and objectives, based on an existing problem
• to carry out a thorough literature study and specify research questions/objectives, based on this
• to produce a plan for technological research, based on the formulated questions and/or objectives
• to answer the research question, including a reflection on the original objective
• to write a scientific paper on the research results (in English)
• to orally present the results (in English) to an audience of supervisors and peers
• to critically reflect on the results of their own research and that of fellow students (peer review).

Upon completion of the Earth Observation course you are able to:

• explain how to generate information about the Earth from satellite images and other spatial data
• apply image processing techniques to retrieve object-based information
• apply data processing techniques at a proper scale in time and space
• apply earth observation techniques for mapping and monitoring in applications such as flooding, food security and drought
• explain how individual observations can be integrated, combined and processed to understand global events
• explain how to retrieve large scale geometric information from airborne/mobile sensors
• understand how (3D) maps can be used to efficiently pass a specific message.