In the previous series of two lectures, I had outlined conceptual aspects of continuum computing. In this seminar, I will present several topics in various branches of science and engineering suitable for short-term or long-term projects at undergraduate as well as graduate level. Engineering Optimization: Recent progress in additive manufacturing, popularly known as 3D printing, has opened up the possibility of actually realizing complex geometries resulting from solutions of continuum optimization problems. Shape and topology optimization can be applied to aerodynamic designs, load bearing structures, radar antennas, plasmonic waveguides , wigglers in free electron lasers, turbine blades, etc. Atmospheric Science: Computing optimal shift vector field to minimize variance in observed rainfall data. India’s largest supercomputer is available for this project. Computer Science: Solution of discrete problems such as satifiability, graph partitioning, coloring, constraint satisfaction, compiler optimization ( polyhedral approach to loop unrolling, register allocation ) etc. Computer Graphics and visualization Program Composition System, reversible program transformations, multi-stage partial evaluation etc. Applied Mathematics: Computational approach to differential geometry, algebraic geometry, theory of several complex variables, reprensentaion and computations with infinite series, solution of differential algebraic equations, finding generalized eigenvalues in pre-specified regions of complex plane, etc.