# Pre-master Spatial Engineering

Are you interested in joining the Master’s Spatial Engineering after completing your Bachelor’s degree? In a number of cases, you might be required to complete a pre-master programme first.

## What is a pre-master's programme?

A pre-masters programme is a transfer programme for bachelor's students from a university of applied sciences (HBO) or a Dutch research university, who want to continue with a master's at a university, but do not have the required level of education.

The programme exists to help you make up for any deficiencies between the Spatial Engineering's entry requirements and their previous Dutch HBO or Dutch university bachelor’s programmes.

## Full-time, one-semester programme

This pre-master's programme, or transfer minor, dominantly aims at preparing you for the Master's Spatial Engineering. Upon successful completion of the programme, you have direct and unconditional access to this Master’s Spatial Engineering. It is a full-time study programme of one semester with four courses:

Mathematics (7 credits)

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).
Earth Observation (15 credits)

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.
Personal Development Plan (0.5 credits)

Upon completion of the Personal Development Plan course you are able to:

• reflect on your experiences (Bachelor and pre-master courses) and how that lead up to why you want to enter the master’s Spatial Engineering
• describe what you have done so far per core knowledge area and skill learning line
• make a smart plan for the next steps.

## Starting date

You can enrol in the pre-master's in September.

### Motivation and capacity

It is good to know that this pre-masters aims to attract students from universities of applied sciences (HBO) who have adequate motivation and capacities to complete an English-taught degree programme at university level.

### Mathematics and English

At the University of Twente, we assume that your knowledge of mathematics and English is at VWO level. In any case, you need 120 credits from your current related bachelor’s, before starting this pre-master's.

## Is my programme sufficiently related?

In order to determine whether your current study is sufficiently related to Spatial Engineering please check the Transfer Matrix.

Please note that if your current bachelor's involves a non-related programme, your application will be judged on the basis of an individual educational curriculum/portfolio and motivation letter. The admission board will review your application and decide based on the bachelor’s education (technical focus) if you are directly admissible, admissible under conditions (pre-masters) or not admissible.