This proceedings volume contains 54 research and expository articles on a range of active areas in pure and applied mathematics. Every article addresses the state of the subject, description and motivation of the problems, the relevance of the results, and open problems for future research.

On one-phase stefan problems for sublinear heat equations, T. Aiki et al; a vertex partitioning of a graph, Sergio R. Canoy Jr et al; generation of nafil loops of small order, R.E. Cawagas; multiplier problems, C. Datry and G. Muraz; shadows of codes and lattices, S.T. Dougherty and P. Sole; empirical pseudorandom number generators, K. Gargar; local stability analysis for a model of AIDS transmission, M.E.V. Jacinto; timetabling highly constrained system via genetic algorithms, H.S.C. Lee and A.Y. Hermosilla; a deceptive game with modified information, K.T. Lee; homogeneous extensions of shifts with holder continuous skewing functions, M.S.M. Noorani; the Abelian index of finite groups, K.K. Nwabueze et al; wave blocking in parallel coupled nerve fibres, M. Rodrigo et al; attainability of a two-characteristic manpower structure including demotion, A. Srinivasan and P. Mariappan; bounds on doubling rates of investment capital due to incorrect distributions, C.P. Tan; finding the span of graphs using small circle unit representations, J.A. Uy. (Part contents)