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 spatialbased 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. Rasterbased 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 interdisciplinary interaction related to one’s area
• The ability to use the expertlevel 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 
Prerequisite(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. 
Textbook 

Other References 
