Implementation of Graph Theory in University Course Prerequisite Structures: A Case Study of Kebbi State University of Science and Technology, Aliero (Aliero LGA, Kebbi State)
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- NGN 5000
Background of the Study
Graph theory has numerous applications in various fields, including computer science, engineering, and educational systems. One of the promising applications of graph theory is in the modeling of university course prerequisite structures. These structures are often represented as directed graphs, where courses are nodes and prerequisites form directed edges between them. Kebbi State University of Science and Technology, Aliero, located in Aliero LGA, Kebbi State, currently faces challenges in managing complex course prerequisite structures due to the increasing number of degree programs and courses. The use of graph theory to optimize and visualize these structures can help students, faculty, and academic advisors make informed decisions regarding course selection and graduation requirements.
Statement of the Problem
The complexity of course prerequisite relationships at Kebbi State University of Science and Technology makes it difficult for students to understand the sequence of courses they need to take for degree completion. Current systems rely on static course catalogs that are not dynamically linked to prerequisite data, leading to confusion and inefficient course planning. By applying graph theory, the university can create a dynamic, visual representation of course prerequisites, which would help students and academic advisors navigate the course selection process more effectively.
Objectives of the Study
- To develop a graph theory-based model for representing and visualizing course prerequisite structures at Kebbi State University of Science and Technology.
- To design an automated system for managing and updating course prerequisite relationships using graph theory.
- To evaluate the effectiveness of the graph theory-based system in improving students’ understanding of course prerequisites and planning their academic schedules.
Research Questions
- How can graph theory be applied to represent and optimize the course prerequisite structures at Kebbi State University of Science and Technology?
- What are the benefits of using graph theory in improving the management and visualization of course prerequisites?
- How does the implementation of a graph theory-based system impact students' course planning and academic performance?
Research Hypotheses
- A graph theory-based model will significantly improve the representation and understanding of course prerequisite structures at Kebbi State University of Science and Technology.
- The implementation of a graph theory-based system will lead to better course selection decisions by students, reducing scheduling conflicts and delays in graduation.
- The use of graph theory in course management will enhance the overall academic experience for students and faculty.
Significance of the Study
This study will provide a foundation for the application of graph theory in higher education, specifically in the management of course prerequisite structures. It will benefit Kebbi State University of Science and Technology by improving the clarity and efficiency of the academic advising process, helping students better navigate their academic paths, and optimizing course scheduling.
Scope and Limitations of the Study
The study will focus on the application of graph theory to the course prerequisite structures at Kebbi State University of Science and Technology, Aliero, within Aliero LGA, Kebbi State. It will not extend to other academic management issues, such as student enrollment or course content management.
Definitions of Terms
Graph Theory: A field of mathematics that studies graphs, which are mathematical structures used to model pairwise relations between objects.
Course Prerequisite: A course that must be completed before a student can enroll in a subsequent, more advanced course.
Prerequisite Structure: The set of relationships between courses that determine the sequence in which they must be taken for program completion.
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