MATH 512 | Course Introduction and Application Information

• Doç. Dr. Sevin GÜMGÜM

• Doç. Dr. Cemal Murat ÖZKUT
• Doç. Dr. Sevin GÜMGÜM
• Dr.Öğretim Üyesi Ayşe BELER
• Dr.Öğretim Üyesi NECLA KOÇHAN
• Prof. Dr. GÖZDE YAZGI TÜTÜNCÜ AŞÇI
• Prof. Dr. İSMİHAN BAYRAMOĞLU

• Arş.Gör. Merve KAHRAMAN ARİMAN

The students who succeeded in this course;

• Differentiate the conceptual framework of research and the types of research (basic, applied, action).
• Apply the scientific method to design, conduct, and interpret mathematical and statistical research.
• Design computational workflows, including AI-assisted methods, for data processing, visualization, and modeling.
• Evaluate information from literature databases such as MathSciNet, JSTOR, Web of Science, and Scopus.
• Produce professional manuscripts in LaTeX with correctly formatted equations, tables, and figures.
• Apply research ethics principles, including plagiarism avoidance, prevention of scientific misconduct, intellectual property protection, and responsible AI usage.
• Assess research outputs using journal quality indicators and research metrics (Impact Factor, SNIP, SJR, IPP, CiteScore).
• Communicate research findings clearly and effectively in oral presentations and written reports.

Marder, M. P. (2011). Research Methods for Science (2nd ed.). Cambridge University Press. ISBN 978-0-521-18614-1.
 

Adams, Kathrynn A.; McGuire, Eva K. (2022). Research Methods, Statistics, and Applications (3rd ed.). SAGE Publications. ISBN-13 978-1071817834.
 

Brown, Ronald; Porter, Timothy. The Methodology of Mathematics. The Mathematical Gazette, Volume 79, Issue 485, July 1995, pp. 232–246.
 

Çelik, Özgür. Demystifying Ethical Use of AI in Academic Writing: A Scenario-Based Approach. Ihlamur Akademi, 2025. ISBN 978-6256633568.
 

Stefan Kottwitz. LaTeX Beginner’s Guide. 2nd edition. Packt Publishing, 2021. ISBN 978-1801078658.
 

Michael J. Katz. From Research to Manuscript: A Guide to Scientific Writing. Springer, 2009. ISBN 978-1402094668.

MathSciNet, JSTOR, Web of Science, Scopus (databases)
 

Selected research articles provided throughout the semester
 

N. J. Higham. Handbook of Writing for the Mathematical Sciences. SIAM, 1998. ISBN 978-0898714203.