First Semester AY 2024-2025

This course covers groups, subgroups, cyclic groups, permutation groups, abelian groups, normal subgroups, quotient groups and homomorphisms and isomorphism theorems, rings, integral domains, fields, ring homomorphisms, ideals, and field of quotients.

This course covers sets, principles of logic, methods of proof, relations, functions, integers, binary operations, complex numbers, matrices and matrix operations, and an introduction to mathematical systems.

Thesis Writing 1 is the first part of a two-course sequence designed to guide graduate students through the initial stages of the thesis process. This course focuses on developing a research proposal, including the formulation of a research problem, review of related literature, and designing appropriate methodology. Emphasis is placed on topics relevant to mathematics education and the alignment of research with current trends and issues in the field.

This course will introduce in-depth understanding of advanced statistical concepts and techniques, enabling them to analyze and interpret complex data sets across various mathematical and educational contexts. Building upon the foundational knowledge gained in introductory statistics courses, this course delves into more sophisticated statistical methodologies used to make informed decisions and draw meaningful conclusions from data. Covering topics such as descriptive statistics, t-tests, ANOVA, correlation, regression analysis, multiple regression, and nonparametric methods. Practical exercises using statistical software, real-world datasets, and research articles will be integrated to enhance students' proficiency in applying these techniques.