English Language Teaching,Teacher Competency

‘Teacher Competency’ is a prominent area of research world over, resulting in the development of several frameworks of competencies for various levels of teachers and evaluation of competencies. The field has been broadening with respect to reform studies in education, teacher training and development. Dr. G Venkatraman worked on ‘Developing a set of competencies for the Teachers of English in Engineering Colleges’ for his doctoral research, integrating English Language Teaching with Education.

Narratology

The branch of knowledge or criticism that deals with the structure and function of narrative and its themes, conventions, and symbols. It is a humanities discipline dedicated to the study of the logic, principles, and practices of narrative representation. Dominated by structuralist approaches at its beginning, narratology has developed into a variety of theories, concepts, and analytic procedures.

Indian Writing in English

Indian English Literature refers tothe body of works by authors inIndia who write in English andwhose native or co-native languagecould be one of the numerouslanguages of India.It is also associated with the worksof members of the Indian Diaspora.Indian writing in English has a vibrant history with gigantic expansionglobally. It deals with awide range of themes. Itreflects Indianculture, tradition, social values and even Indian history through the depiction of life in Indiaand Indians living elsewhere. The recent Indian English fiction has been trying to giveexpression to the Indian experience of the modern predicaments.

American Fiction

Studying American Literature encompasses understanding society. From this study, society can only improve by analyzing the writing in any culture. American literature has produced some of the most significant prose and poetry the world has seen.

Post - Modernism

Postmodernism broadly refers to a socio-cultural and literary theory, and a shift in perspective that has manifested in a variety of disciplines including the social sciences, art, architecture, literature, fashion, communications, and technology. It can be associated with the power shifts and dehumanization of the post-Second World War era and the onslaught of consumer capitalism.

Gamification in Language Learning, Mythology and Mythopoeia

Mythopoeia, which is another term for retelling of myths is the present literary trend. The chief focus of mythopoeia, at present, happens to be mythic feminism. Mythic Feminism is a mythopoeic rendering of myths and legends, which are originally androcentric, from a feminist perspective.

Number Theory / Analysis

Number theory has been mainstays of mathematical research and interest for centuries. A combination of techniques and tools from commutative algebra with motivation and language from geometry has made algebraic geometry one of the most exciting and active fields of research in modern mathematics. Ideas from algebraic geometry now help inform developments in a range of disciplines from topology to cryptography and classical number theory.

Computational Fluid Dynamics

Computational Fluid Dynamics ( CFD) is the sub-branch of Fluid Mechanics that employs various numerical techniques to solve fluid flow, heat and mass transfer problems. Fluid Mechanics plays an extremely crucial role in a wide variety of industrial applications, and in our everyday lives.

Our University has a strong and vibrant research community in CFD. Research efforts in Computational Fluid Dynamics (CFD) include high performance computing for compressible and incompressible flows, biomedical flow modeling, unsteady flow simulations in a rotating channel, transport through porous media etc. Our research team focuses on the application of CFD techniques to traditional, non-traditional, and multi-disciplinary applications.

Graph Theory

Graph theory is a branch of Discrete Mathematics. Graphs are mathematical structures used to model pairwise relations between objects. In Electrical engineering, the concepts of graph theory is used extensively in designing circuit connections. In Computer Science, graphs are used in data structures, data mining, etc. and interconnected networks can be modelled as graphs. In Science, the various physio-chemical and biological properties of chemical compounds can be studied by modelling the molecular structure and chemical structure of the chemical compound using graphs. In Linguistics, trees, a special class of graphs is used in studying the grammar and language. Further, it has wide applications in Sociology, Economics and so on. In fact, it has a significant role in our routine life.

Our faculty members are extensively doing research in various areas of graph theory. The key areas are: Domination, Distance, Algebraic graph theory, Algorithmic graph theory, Hyper graphs and its applications and Chemical graph theory.

Numerical Analysis

Numerical methods for singularly perturbed delay differential equation(ordinary and partial), The solution of singular problem typically contains layer, that boundary layer is defined as a thin layer of rapid change that occurs on a tiny interval around the boundary. The most fascinating example of this in the real world is the layer that occurs on the wing of an aircraft in flight which is responsible for creating the lift that causes the aircraft to leave the ground

Wavelet Analysis

Wavelets are mathematical functions that cut up data into different frequency components, and then study each component with a resolution matched to its scale. They have advantages over traditional Fourier methods in analyzing physical situations where the signal contains discontinuities and sharp spikes. Wavelets were developed independently in the fields of mathematics, quantum physics, electrical engineering, and seismic geology.

Wavelet analysis, being a popular time-frequency analysis method has been applied in various fields to analyze a wide range of signals covering biological signals, vibration signals, acoustic and ultrasonic signals, to name a few. With the capability to provide both time and frequency domains information, wavelet analysis is mainly for time-frequency analysis of signals, signal compression, signal denoising, singularity analysis, features extraction and the solutions of differential equations (ODEs and PDEs).

Dynamical Systems

Dynamical systems deal with the evolutionof sets of dynamical variables, which can be any quantities needed to describe the system of interest. For example, in physics, they may be the positions and velocities of a set of particles, whereas in biology and zoology they may be the neurons and populations of the various species in biological systems and ecosystems, respectively. To unify the description of such diverse systems we adopt a somewhat abstract, mathematical approach and form the variables into a vector of arbitrary length, called the state vector (i.e., dynamical systems). In this connection, I apply for my research work in neuroscience (Neural Networks), genetic regulatory networks (Biological Systems), vehicle dynamics (Aircraft Systems, High-Speed Train), networked control systems, and many other applications in industrial oriented problems in the real world. My current research interests include state estimation of neural networks and genetic regulatory networks, stochastic hybrid systems, Markovian jump systems, extended dissipativity analysis, nonfragile control, sampled-data control, and their applications.

Optimization Techniques

Optimization is an important tool in making decisions and in analyzing physical systems. In mathematical terms, an optimization problem is the problem of finding the best solution from among the set of all feasible solutions.Especially: solving dynamical &Fuzzy flow problems, Multidimensional assignment problems, networking and scheduling problems.