{"id":935,"date":"2017-11-15T08:37:38","date_gmt":"2017-11-15T08:37:38","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=935"},"modified":"2024-12-18T05:10:50","modified_gmt":"2024-12-18T05:10:50","slug":"special-degree-projects","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/special-degree-projects\/","title":{"rendered":"Honours Degree Projects \u00a0"},"content":{"rendered":"<h5><span style=\"color: #3c3c4f\"><strong>Mathematics<\/strong><\/span><\/h5>\n<p><strong><u>2024<\/u><\/strong><\/p>\n<table style=\"width: 100%\" border=\"2\">\n<tbody>\n<tr bgcolor=\"#999999\">\n<th><strong><span style=\"color: #362e2e\">Student Name<\/span><\/strong><\/th>\n<th><strong><span style=\"color: #362e2e\">Title of the Project<\/span><\/strong><\/th>\n<th><strong><span style=\"color: #362e2e\">First Supervisor<\/span><\/strong><\/th>\n<th><strong><span style=\"color: #362e2e\">Second Supervisor<\/span><\/strong><\/th>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>V. T. Palliyaguru<\/td>\n<td>A survey in Algebraic Coding Theory and Combinatorial Design<\/td>\n<td>Dr. J. K.\u00a0 Ratnayake<\/td>\n<td>Dr. J. N.\u00a0 Senadheera<\/td>\n<\/tr>\n<tr>\n<td>A. I. Randika<\/td>\n<td>Developing an Anomaly Detection Model for High-Dimensional Data Using Topological Data Analysis Techniques and Understanding the Mathematical Background<\/td>\n<td>Dr. R. N. P.\u00a0 de Silva<\/td>\n<td>Prof. G. H. J. Lanel<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>N. T. A.\u00a0 Wickramaarachchi<\/td>\n<td>Identify the Most Influential Factors that Determine the Renewal of the Vehicle Insurance Policy<\/td>\n<td>Dr. M. T. M. Perera<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>W. M. G. P. Fonseka<\/td>\n<td>Studying the theorical framework for Numerical Methods of Computing Eigenvalues<\/td>\n<td>Prof. N. C. Ganegoda<\/td>\n<td>Dr. R. Sanjeewa<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>L. J. N. Piris<\/td>\n<td>An Investigation of Fredholm Operators and Fredholm Index on Separable Hilbert Spaces<\/td>\n<td>Dr. R. P. K. De Silva<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>K. D. Liyanage<\/td>\n<td>Study on Multiple Wiener &#8211; Ito Integrals<\/td>\n<td>Dr. B. P. W. Fernando<\/td>\n<td><\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>A. V. P. Koshila<\/td>\n<td>A Comparative Study of Classical Probability Space and Quantum Probability Space<\/td>\n<td>Mr. K. K. W. A. S. Kumara<\/td>\n<td>Dr. B. P. W. Fernando<\/td>\n<\/tr>\n<tr>\n<td>M. G. N. Lakshani<\/td>\n<td>Applications of Design based Topological Indices<\/td>\n<td>Prof. G. H. J. Lanel<\/td>\n<td>Dr. R. Sanjeewa<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>A. D. H. G. S. N. Wickramathunga<\/td>\n<td>Enhancing Cryptographic Algorithms :RSA, AES &amp; BLOWFISH<\/td>\n<td>Mr. G. J. K. Silva<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong><u>2023<\/u><\/strong><\/p>\n<table style=\"width: 100%\" border=\"2\">\n<tbody>\n<tr bgcolor=\"#999999\">\n<th><strong><span style=\"color: #362e2e\">Student Name<\/span><\/strong><\/th>\n<th><strong><span style=\"color: #362e2e\">Title of the Project<\/span><\/strong><\/th>\n<th><strong><span style=\"color: #362e2e\">First Supervisor<\/span><\/strong><\/th>\n<th><strong><span style=\"color: #362e2e\">Second Supervisor<\/span><\/strong><\/th>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>D. L. K. Deshan<\/td>\n<td>From Elliptic Functions to Modular Forms (A Historical Perspectives)<\/td>\n<td>Dr. J. N. Senadeera<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>S. G. S. D. Kularathna<\/td>\n<td>Study of Geometric Calculus<\/td>\n<td>Dr. R. N. P.\u00a0 de Silva<\/td>\n<td>Prof. G. H. J. Lanel<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>N. T. A.\u00a0 Wickramaarachchi<\/td>\n<td>Survey on Graph Theory Concepts Used in Social Network Analysis<\/td>\n<td>Prof. G. H. J. Lanel<\/td>\n<td>Dr. R. Sanjeewa<\/td>\n<\/tr>\n<tr>\n<td>V. P. V. Lakmal<\/td>\n<td>Origin of Graph Theory<\/td>\n<td>Dr. R. N. P. De Silva<\/td>\n<td><\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>P. L. S. Malshani<\/td>\n<td>Investigating Optimization Problems Associated with Convex Functions<\/td>\n<td>Prof. N. C. Ganegoda<\/td>\n<td>Dr. R. Sanjeewa<\/td>\n<\/tr>\n<tr>\n<td>M. Vasandaamani<\/td>\n<td>Survey in Topology towards Algebraic Topology<\/td>\n<td>Dr. J. K. Ratnayake<\/td>\n<td>Dr. P. G. T. Harshani<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>M. A. C. C. Pabasara<\/td>\n<td>A Study of Martingales and Their Convergence Theorems<\/td>\n<td>Dr. B. P. W. Fernando<\/td>\n<td>Dr. P. G. T. Harshani<\/td>\n<\/tr>\n<tr>\n<td>O. R. W. Perera<\/td>\n<td>Stochastic Integration with Application to Interest Rate Modeling<\/td>\n<td>Dr. B. P. W. Fernando<\/td>\n<td>Dr. P. G. T. Harshani<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>S. P. N. Sewwandi<\/td>\n<td>Uniformization of Planar Domains by Exhaustion<\/td>\n<td>Dr. B. V. N. C. Vidanage<\/td>\n<td>Mr. K. K. W. A. S. Kumara<\/td>\n<\/tr>\n<tr>\n<td>P. H. K. Silva<\/td>\n<td>Factorizations of Graphs &amp; Its Applications<\/td>\n<td>Dr. R. Sanjeewa<\/td>\n<td>Prof. G. H. J. Lanel<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>Y. H. Vidanapathirana<\/td>\n<td>Investigation of Some Conjectures<\/td>\n<td>Mr. G. J. K. Silva<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>T. W. R. Thathsarani<\/td>\n<td>Perturbation Theory of Eigenvalues and Eigenvector-Eigenvalue Identity<\/td>\n<td>Dr. R. P. K. De Silva<\/td>\n<td>Mr. K. K. W. A. S. Kumara<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>R. S. M. Kapurubandara<\/td>\n<td>Study of Geometric Calculus<\/td>\n<td>Mr. K. K. W. A. S. Kumara<\/td>\n<td>Dr. R. P. K. De Silva<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h5><span style=\"color: #3c3c4f\"><strong>Applied Mathematics<\/strong><\/span><\/h5>\n<p><strong><u>2024<\/u><\/strong><\/p>\n<table style=\"width: 100%\" border=\"2\">\n<tbody>\n<tr bgcolor=\"#999999\">\n<th><strong><span style=\"color: #362e2e\">Student Name<\/span><\/strong><\/th>\n<th><strong><span style=\"color: #362e2e\">Title of the Project<\/span><\/strong><\/th>\n<th><strong><span style=\"color: #362e2e\">First Supervisor<\/span><\/strong><\/th>\n<th><strong><span style=\"color: #362e2e\">Second Supervisor<\/span><\/strong><\/th>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>K. A. S. Divyanjalee<\/td>\n<td>A Dynamical Study of Scavengers onto the Predator-Prey Model<\/td>\n<td>Prof. R. P. K. C. M. Ranasinghe<\/td>\n<td>Mr. G. J. K. Silva<\/td>\n<\/tr>\n<tr>\n<td>M. G. T. Dewmini<\/td>\n<td>Analytical and Numerical Approaches for Parameter Estimates in Mathematical Models<\/td>\n<td>Prof. N. C. Ganegoda<\/td>\n<td>Dr. Hasitha Erandi<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>E. N. N. Gamage<\/td>\n<td>A Survey on Markovian Queuing Models with Applications<\/td>\n<td>Dr. P. G. T. Harshani<\/td>\n<td>Dr. B. P. W. Fernando<\/td>\n<\/tr>\n<tr>\n<td>K. A. K. Madhuwantha<\/td>\n<td>Optimizing Delivery Routes with Machine Learning and Linear Programming<\/td>\n<td>Dr. R. N. P. De Silva<\/td>\n<td>Dr. S. P. Pitigala<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>S. A. Oshani Thivarna<\/td>\n<td>Life Table Modeling with Survial and Death Rates in Sri Lanka<\/td>\n<td>Dr. M. T. M. Perera<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong><u>2023<\/u><\/strong><\/p>\n<table style=\"width: 100%\" border=\"2\">\n<tbody>\n<tr bgcolor=\"#999999\">\n<th><strong><span style=\"color: #362e2e\">Student Name<\/span><\/strong><\/th>\n<th><strong><span style=\"color: #362e2e\">Title of the Project<\/span><\/strong><\/th>\n<th><strong><span style=\"color: #362e2e\">First Supervisor<\/span><\/strong><\/th>\n<th><strong><span style=\"color: #362e2e\">Second Supervisor<\/span><\/strong><\/th>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>T. O. D. Kaluarachchi<\/td>\n<td>Forecasting Rainfall Pattern Using Discrete Fourier Transforms<\/td>\n<td>Mrs. D. S. Rodrigo<\/td>\n<td>Dr. B. P. W. Fernando<\/td>\n<\/tr>\n<tr>\n<td>W. K. P. Madhusanka<\/td>\n<td>A Study of Optimal Control Models for Finance<\/td>\n<td>Prof. N. C. Genegoda<\/td>\n<td>Dr. M. T. M. Perera<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>H. D. Nagodavithana<\/td>\n<td>Dynamics of a Discrete-time Predator-Prey System with Non-Linear Harvesting<\/td>\n<td>Prof. R. P. K. C. M. Ranasinghe<\/td>\n<td>Mr. G. J. K. Silva<\/td>\n<\/tr>\n<tr>\n<td>I. A. R. M. Perera<\/td>\n<td>Multicommodity Flows and Its Applications<\/td>\n<td>Dr. R. Sanjeewa<\/td>\n<td>Prof. G. H. J. Lanel<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>K. H. H. Priyanvada<\/td>\n<td>A Study of Human Brain Tumor Growth Using the Reaction-Diffusion Equation with FEniCS<\/td>\n<td>Dr. P. G. T. Harshani<\/td>\n<td>Dr. B. P. W. Fernando, Dr. T. M. K. K. Jinasena<\/td>\n<\/tr>\n<tr>\n<td>A. M. S. C. Wijethunge<\/td>\n<td>Qubo Approaches to Combinatorial Optimization Problems<\/td>\n<td>Dr. R. P. K. De Silva<\/td>\n<td>Prof. A. Mahasinghe<\/td>\n<\/tr>\n<tr bgcolor=\"#f4f6f6\">\n<td>T. M. D. I. S. Tennakoon<\/td>\n<td>A Study of the Behaviour of Averaging Lorenz System<\/td>\n<td>Prof. R. P. K. C. M. Ranasinghe<\/td>\n<td>Mr. G. J. K. Silva<\/td>\n<\/tr>\n<tr>\n<td>E. N. S. Abeyratne<\/td>\n<td>Comparative Analysis of Geometric and Fractional Brownian Motion Models in Forecasting Stock Prices<\/td>\n<td>Dr. B. P. W. Fernando<\/td>\n<td>Dr. P. G. T. Harshani<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Mathematics 2024 Student Name Title of the Project First Supervisor Second Supervisor V. T. Palliyaguru A survey in Algebraic Coding Theory and Combinatorial Design Dr. J. K.\u00a0 Ratnayake Dr. J. N.\u00a0 Senadheera A. I. Randika Developing an Anomaly Detection Model for High-Dimensional Data Using Topological Data Analysis Techniques and Understanding the Mathematical Background Dr. R. &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/special-degree-projects\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Honours Degree Projects \u00a0<\/span><\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_ti_tpc_template_sync":false,"_ti_tpc_template_id":"","footnotes":""},"_links":{"self":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/935"}],"collection":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/comments?post=935"}],"version-history":[{"count":9,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/935\/revisions"}],"predecessor-version":[{"id":4531,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/935\/revisions\/4531"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=935"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}