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Advanced Sensors And Interface Electronics

Introduction and Background of state-of-art sensing and measurement techniques. Contactless potentiometer (resistance-capacitance scheme) – Methodology,Interface Circuits, Overview of Flight Instrumentation. Analog Electronic Blocks, CMRR Analysis (Non-ideal opamps) of an Instrumentation Amplifier, Linearization circuits for single-element wheatstone bridges (application to strain gauge), Direct Digital Converter for Strain gauges, Signal conditioning for Remote-connected sensor elements.

Deep Learning for Computational Data Science

Description: Deep learning methods are now prevalent in the area of machine learning, and are now used invariably in many research areas. In recent years it received significant media attention as well. The  influx of research articles in this area demonstrates that these methods are remarkably successful at a diverse range of tasks. Namely self driving cars, new kinds of video games, AI, Automation, object detection and recognition, surveillance tracking etc.

Pattern Recognition and Machine Learning

PR overview-Feature extraction-Statistical Pattern Recognition-Supervised Learning-Parametric  methods-Non parametric methods; ML estimation-Bayes estimation-k NN approaches. Dimensionality  reduction, data normalization. Regression, and time series analysis. Linear discriminat functions. Fishers  linear discriminant, linear perceptron and Neural Networks. Kernel methods and Support vector  machine. Unsupervised learning and clustering. K-means and hierarchical clustering. Ensemble/ Adaboost classifier, Soft computing paradigms for classification and clustering.

Operations Research

Introduction – linear programming – duality and sensitivity analysis – transportation and assignment problems – integer programming – network optimization models – dynamic programming – non-linear programming – unconstrained and constrained optimization – non-traditional optimization algorithms.

Artificial Neural Networks

Foundations of Biological Neural Networks and Artificial Neural Networks (Learning, Generalization, Memory, Abstraction, Applications), McCulloch-Pitts Model, Historical Developments.ANN Architectures, Learning Strategy (Supervised, Unsupervised, Reinforcement), Applications: Function Approximation, Prediction, Optimization. Associative Memories: Matrix memories, Bidirectional Associative Memory, Hopfield Neural Network.

Optimization Techniques

Optimization: Need for unconstrained methods in solving constrained problems, Necessary conditions of unconstrained optimization, Structure methods, Quadratic models, Methods of line search, Steepest descent method, Quasi-Newton methods: DFP, BFGS, Conjugate-direction methods:, Methods for sums of squares and nonlinear equations ,Linear Programming: Simplex Methods, Duality ii LPP, Transportation problem, Nonlinear programming: Lagrange Multiplier, KKT conditions, Convex programming.

 

Computer Modelling and Simulation

Meaning and importance of simulation and modelling, classification of models, Variables and problem formulation, performance measures, Data collection and analysis, SIMSCRIPT language concept: general syntax, Discrete event modelling, process and resources, timing and pending list, accumulate and tally, process instance and object oriented aspects, sets and data structures, Probability distribution, Random number and random variant generation. Input modelling and output analysis.

Geographic Information System

Introduction to Geographic Information System (GIS) – Hardware, Software, Data types and models – Spatial data quality, Thematic maps, Symbolization, Scale and generalization – Co-ordinate systems, Map projections and visualization – Input / output techniques in GIS (spatial and non-spatial), Editing, Topology, Database structure – Analysis: spatial, network analysis, optimization of path, time and cost, Routing and events, Facility location, Interpolation methods, Digital elevation model, Surface analysis – Geovisualizatio –  Decision support systems, OpenGIS, WebGIS, Enterprise GIS –

Non-linear Dynamics, Chaos and Fractals

Flows on the line: Introduction; Fixed points and stability; Population growth; Linear Stability Analysis; Existence and Uniqueness; Impossibility of oscillations; Potentials

Bifurcations: Saddle-node bifurcation; Transcritical bifurcation; Laser threshold; Pitchfork bifurcation; Overdamped bead on a rotating hoop; Imperfect bifurcations and catastrophes; Insect outbreak

Flows on a circle: Examples and Definitions; Uniform Oscillator; Nonuniform Oscillator; Overdamped Pendulum; Fireflies; Superconducting Josephson junctions

Physics of the Sun

Characteristics of the Sun – internal structure – solar observations – solar atmosphere – oscillations – Convection – rotation – magnetism – chromosphere – corona – solar wind – quiet Sun – Active Sun – Helioseismology.

Exoplanets and Astrobiology

Properties of known exoplanets – exoplanet surveys – detection methods – formation, interior and evolution of planets – brown dwarf exoplanets connection – close orbiting exoplanets – multiple planet systems – planets in binary systems – moons of exoplanets. Origin of life – prebiotic molecules and development of life forms – habitable zone – Mars and life – Icy bodies (Europa and others) – Titan’s atmosphere – detection of exoplanets – search for extraterrestrial life.