Linear Algebra: matrices- solution space of system of equations Ax=b, eigenvalues and eigenvectors, Cayley-Hamilton theorem – vector spaces over real field, subspaces, linear dependence, independence, basis, dimension – inner product – Gram-Schmidt orthogonalization process – linear transformation- null space & nullity, range and rank of linear transformation.
Selection of materials – structure of solids, crystal structure – defects in crystals, free energy concept – alloying – principles of solidification – phase diagrams – concept of heat treatment – properties of materials, mechanical, electrical, thermal and optical properties – testing of materials – semiconductor materials – ceramics, synthesis and processing – polymers, classification, mechanism of formation, structure property relations, characterization – composites, classification, factors influencing properties, processing.
Electricity: curvilinear coordinates – conservative vector fields and their potential functions –Gauss’ theorem, Stokes’ theorem – physical applications in electrostatics – electrostatic po-tential and field due to discrete and continuous charge distributions – dipole and quadrupole moments – energy density in an electric field – dielectric polarization – conductors and capaci-tors – electric displacement vector – dielectric susceptibility.
Chemical Kinetics: basic concepts of chemical kinetics – complex reactions – effect of temperature on reaction rates – catalysis.
Electrochemical Systems: introduction to electrochemistry – different types of electrodes – half cell potential
– electromotive force – Gibbs free energy and cell potential – Nernst equation – electrochemical series – classification of electrochemical cells.
Corrosion Science: definition – causes and consequences – significance and methods of corrosion control – mechanisms and theories of corrosion.
The MTech in Quantum Technologies at IIST joins the global effort in preparing young engineering and science graduates, both towards industry and research, meeting the specific goals targeted by ISRO and other national scientific establishments. The outlined course work at IIST will provide a strong foundation with the required basics and give a broad overview of cutting-edge Quantum Technologies.
Optical engineering programme is offered to prepare students for the application of fundamental optics in modern technology and research environments. Optics based applications abound in modern day technology, from space technology to applications in household gadgets such as laptops and PCs, and thus, optical engineering is an essential tool in majority of day to day applications. Moreover, the recent advent of quantum information technology is largely driven by a combination of fundamental optics and optical technology.
The M.Tech. in Machine Learning & Computing is a two-year postgraduate program offered by the Department of Mathematics, IIST, launched in 2010. It was one of the institute’s earliest master's programs and has grown to become one of its most sought-after offerings.
The M.Tech in Geoinformatics program at IIST, Thiruvananthapuram, is a rigorous two-year postgraduate course that equips students with a strong foundation in remote sensing, GIS, image processing, and geospatial data analysis. The curriculum blends methodological, computational, and technical aspects of Geoinformatics with practical training in modern data acquisition and advanced processing techniques.
The M.Tech.in Earth System Science is a two-year postgraduate programme that focuses on the study of the Earth’s atmosphere, oceans, and solid Earth. It aims to provide a comprehensive understanding of the dynamic processes that govern the Earth's climate and geophysical systems.The programme blends core concepts from atmospheric science, oceanography, and geology with quantitative methods and modeling tools. Key areas of study include atmospheric dynamics, physical oceanography, geophysical fluid dynamics, and Earth surface processes.
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