Doctor of Philosophy (Mathematics)

Compulsory Core Courses

Subject Name

Credit

MTPH7101: Research Methodology in Mathematics
This course focuses on the research elements, components, and processes in scientific research, its purpose and importance. Various types of research, characteristics of scientific research, logical methods of reasoning and hypothetic-deductive method are discussed. The course will also focus on formulating research problem, research objectives, theoretical framework, hypothesis formulation, research design, data collection techniques, scale and measurements, reliability and validity, data analysis methods, report writing and presentation.

3

MTPH7102: Doctoral Seminar in Mathematics
In this course, students will identify the basic area of study for research. Students will present the literature review, methodology, and theories relevant for the proposed research area. After each presentation, students will make the necessary amendments and improvements of the paper for subsequent seminars.

3

Additional Courses

Subject Name

Credit

MTPH7103: Advanced Doctoral Seminar in Mathematics
This is a continuation of the Doctoral Seminar in Mathematics course. In this course, learners will continue to write and improve on the literature review, methodology, and theories relevant for the proposed research area. Under the guidance of an Advisor, learners will make the necessary amendments and improvements of the paper for the qualifying examination.

3

MTPH7104: Advanced Topics in Mathematics –I
This course will be devoted to a number of advanced topics in selected critical subject areas of Mathematics.

3

MTPH7105: Advanced Topics in Mathematics –II
This course is a continuation of CSPH7104 and is be devoted to additional  of advanced topics in selected critical subject areas of Mathematics.

GPAS 7103 : Applied Statistics
In this course, students will be exposed to the statistical concepts for data analysis including sampling and hypothesis testing. Simple and multiple regression and logistic regression will also be discussed. Analysis of variance and experimental designs are also discussed in this course.

3

GPMS 7103 : Multivariate Statistics
In this course, students will use the multivariate techniques in analyzing data. For this analysis, data from established sources will be used. Prior to the analysis, students will be shown how to examine various things:

1. The types of data used whether metric or non-metric.
2. The objective of the analysis in terms of the relationships among the variables.
3. Which variables are dependent and which are independent and which possess both characteristics.

Whether the dataset is multidimensional or not. A selection guide of the appropriate technique will be given in the course. Students are encouraged to be familiar with some statistical packages such as SPSS or SAS

3

GPRE 7103 : Research Epistemology
The focus is on the elements of theory of knowledge, including schools of thoughts and debates in the construction of knowledge. The close relation between epistemology and the philosophy of science and social sciences in the first half of the twentieth century will also be an area of focus. The course will look closely at the changing relations between the justification of knowledge claims and the confirmation of scientific hypotheses. The entire structure of scientific reasoning and the justification of theoretical entities will be critically analyzed, including how knowledge is possible in even the most mundane cases.

The course will also take a critical look at the close connection between epistemology and the philosophy of science, in the general positivist view, that the natural sciences provided the clearest cases of human knowledge. The epistemological debates of clarifying the logical form and evidential basis of the latter are part of the attempt to underwrite the legitimacy of the natural sciences, sometimes allegedly by appealing to extra-scientific methods. The inability of positivism to provide a convincing philosophical underpinning for science left a void with regard to the criteria of knowledge and justification. This course will take a critical survey of the fundamental intellectual positions adopted by epistemologists, including how the major issues influence and contribute to production of modern knowledge and academic research.

3