Non-Parametric Estimation of the Posterior Distribution in Monitoring Primary School Enrollment in Mt.Elgon Region, Kenya

Student’s Name: Sifuna Elijah Wafula Supervisors: 1. Dr. Moses Kololi 2. Dr. John Sirengo Master of Science in Statistics ABSTRACT Accurate monitoring of primary school enrollment is critical for educational planning in Kenya’s Mt. Elgon region, where parametric methods often fail to capture complex enrollment patterns due to their rigid assumptions. The problem of fluctuating […]

The Character Table of a Split Extension of Shape 28:U4(2) Using Fischer-Clifford Matrices

Student’s Name: Caroly Wafula Wekesa Supervisors: 1. Dr. Lucy Walingo Chikamai, 2. Dr. Vincent Nyongesa Marani 3. Prof. Abraham Love Prins Master of Science in Pure Mathematics ABSTRACT This study aimed to construct the character table of a split extension with shape 28: U4(2) using Fischer-Clifford matrices. A significant research gap existed in applying Fischer-Clifford […]

Solution of the Enhanced Third Order Water Seepage Equation in Earth Dams Using Crank Nicholson Scheme

Student’s Name: Kalibo Nyongesa Moses Supervisors: 1. Dr. Vincent Marani 2. Prof. Michael Oduor Master of Science in Applied Mathematics ABSTRACT Earth dams serve critical infrastructure functions but pose significant risks when failures occur. Water seepage and internal erosion account for approximately 35% of earth dam failures worldwide, causing devastating losses. Traditional seepage analysis relies […]

Thermodynamic Properties of Polar Molecules in Optical Lattices Using the Bose Hubbard Model with Local Three Body Interactions

Student’s Name: Abner Ainea Wamocha Supervisors: 1. Micheal Waswa Nakitare 2. Horace Kibe Master of Science in Physics ABSTRACT Over the past two decades, cold atoms in optical lattices have emerged as a versatile platform for studying quantum many-body systems, particularly through the Bose-Hubbard Model (BHM). While the conventional BHM has been effective in describing the […]

Bayesian Hierarchical Modeling for Predicting Treatment Outcomes in Breast Cancer Patients

Student’s Name: Nelson Muhati Lwoyelo Supervisors: 1. Prof. Richard Simwa 2. Dr. Vincent Marani Doctor of Philosophy in Statistics ABSTRACT Breast cancer is the most prevalent malignancy worldwide with approximately 2.3 million new cases annually. In Kenya, it disproportionately affects younger women (35-50 years) and represents the leading cancer diagnosis. Current prediction models inadequately quantify […]

Mathematical Modeling of the Impact of Climate Change on Water Security: A Case Study of Budalangi in Lake Victoria Basin

Student’s Name: Fatuma Nandaha Nyongesa Supervisors: 1. Dr. Andanje Mulambula 2. Dr. Martha Muthoni Konje Doctor of Philosophy in Applied Mathematics ABSTRACT Climate change poses significant challenges to water resources globally, with Lake Victoria Basin in Kenya experiencing intensified droughts, floods and water quality degradation due to rising temperatures and irregular rainfall patterns. This research […]

Didacticism of Spoken Word Poetry Performance to the Youths in Kenya

Student’s Name: Bertha Mukandah Supervisors: 1. Dr. Joseph Juma Musungu 2. Dr. Ben Wekesa Nyongesa Master of Arts in Comparative Literature ABSTRACT This study investigated the didacticism of spoken word poetry on the youth in Kenya with a focus on the Wajinga Nyinyi series (1–8). Recognizing the growing popularity of spoken word as a form […]

Analysis of Roman Catholic Church Doctrine on Contraception and Sexual Morality of the Youth in Bungoma County, Kenya

Student’s Name: Bunguswa Anne Supervisors: 1. Dr. Wepukhulu Risper 2. Dr. Matisi Margaret Master of Arts in Religion ABSTRACT Contraception among youth has become a common phenomenon in contemporary society, creating significant challenges for the Roman Catholic Church which prohibits artificial contraceptive methods. This study analyzes the Roman Catholic Church’s doctrine on contraception and its […]

Historicizing Social-Cultural Practices Influencing Widows’ Lived Experiences Among the Bukusu of Bungoma County, Kenya Since 1800

Student’s Name: Wafula Agnes Kwatera Supervisors: 1. Dr. Precious Joan Wapukha 2. Dr. Muleka Maureen Master of Arts in History ABSTRACT According to the United Nations Statistics (2020), over 258 million women are widowed globally, with a high prevalence among elderly populations. More specifically, among the Bukusu, widowhood is prevalent and is marked with a […]