Course Information

Course Name	Turkish	Konumsal Matematik Yöntemler
	English	Spatial Mathematical Methods
Course Code	GIT 501	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	1	3	3	-	-
Course Language		Turkish
Course Coordinator		Arif Çağdaş Aydınoğlu
Course Objectives		Mathematical representation of spatial objects is very important in order to explain relations and space dimensions of objects associations. Basic geometrical behaviours of entity and relationships among them are introduced by spatial-based mathematical methods. In this case, the conceptual mathematical infrastructures of main GIS functions can be provided.
Course Description		Introduction to space geometry. Vector algebra. Main coordinate systems and transformation of the systems. Projection systems. Functions and linear models. Matrix algebra. Venn diagrams. Boolen algebra and operations. The graphy theory, paths and cycles, connectivity. Planar Graphs, plane and topological views. Flows in networks. Map algebra. Raster-based calculations.
Course Outcomes		M.Sc. students who successfully pass this course gain knowledge, skill and competency in the following subjects; • Developing and intensifying knowledge in the related program’s area, based upon the competency in the undergraduate level • Grasping the inter-disciplinary interaction related to one’s area • The ability to use the expert-level theoretical and practical knowledge acquired in the area • Interpreting and forming new types of knowledge by combining the knowledge from the area and the knowledge from various other disciplines • Solving the problems faced in the area by making use of the research methods • Paying regard to social, scientific, cultural and ethical values during the collecting, interpreting, practicing and announcing processes of the area related data and the ability to teach these values to others
Pre-requisite(s)		-
Required Facilities		Software and application practices are required to examine mathematical concepts rlating to GIS at implementation level.
Other		Each student will prepare and present a project about theory and application of a mathematics/computing concept relation to GIS.
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