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IIT Bombay

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Introduction to Vector Calculus:Spherical and Cylindrical coordinates, gradient, divergence and curl, Laplacian operator - Volume and line integrals, surface integrals, Diverg
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Contents: Understanding Creativity :The concept of creativity has been debated and discussed through number of critical positions. The historically contextualized definitions
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Contents: The Transcendent Mind : Revising the traditional notion of Consciousness - The nature of soul in Plato and Aristotle - Cartesian Dualism: res cogitans vs. res exten
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Contents: Introduction : Scope and objective; Nature and types of dynamic loading; Importance of soil dynamics Vibration theory : Vibration of elementary systems; Degrees
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Contents: Functions : Introduce the idea of functions using examples from Biology. Eg. Velocity of molecular motors as a function of ATP concentration Derivative of a funct
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Contents: Introduction : Types of dynamic loads - Basic background of methods available and motivation for structural dynamics. Dynamics of Single Degree-of-Freedom Structur
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Introduction to Power System Stability : Power System Operation and Control - Stability Problems faced by Power Systems - Impact on Power System Operation and Control - Analys
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Introduction to Turbomachineries:Axial flow compressors and Fans : Introduction - A simple two dimensional analytical model - 2-D Losses in axial flow compressor stage - Prof
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Contents: Need to define Lebesgue Integral,Semi-algebra, Algebra, Monotone class, Sigma-algebra, Monotone class theorem. Measure spaces.Extension of measures from algebras to
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Contents: Cryogenics and its applications, Properties of cryogenic fluids, Properties of materials at cryogenic temperature, Gas‐Liquefaction and Refrigeration Syste
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Introduction and Basic Concepts : Concept of watershed, introduction to watershed management, different stakeholders and their relative importance, watershed management polici
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Contents: Sound : Biology of Speech Processing; Place and Manner of Articulation; Word Boundary Detection; Argmax based computations; HMM and Speech Recognition. Words and
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Contents: Polynomial and piecewisepolynomial Interpolation : Divided Difference, Lagrange and Newton Form,Osculatory Interpolation. Numerical Integration : Some Basic Rules,
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Introduction - Basics of Light - Ray Model - Wave Model - Signal Distortion - Practical issues in Implementation of Fiber link - Optical Sources - Light Emitting Diodes - Lase
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Introduction to Information Theory and Coding - Definition of Information Measure and Entropy - Extension of An Information Source and Markov Source - Adjoint of An Informatio
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A Beginning with some practical situations, which call for multiresolution/ multiscale analysis - and how time-frequency analysis and wavelets arise from them. Examples: Image
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This course assumes that the students have undergone UG courses in Engineering Mathematics, Thermodynamics, Heat Transfer and Fluid Mechanics and are familiar with the use of
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Contents: Introduction & Development of Jet Aircraft Propulsion - How the Aircraft Jet Engines make Thrust - Jet Engine Basic Performance Parameters - Turbojet, Reheat Turboj
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Contents: Introduction to Propulsion : The making of thrust to fly - science and history of propulsion; How the jet engines make thrust : conceptual basis; Jet engine : Turb
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Introduction to Robotics, Industrial Robots, Actuators - Electric, Hydraulic, Pneumatic, Internal and external State Sensors, Trajectory planning, Forward Position Control, Im
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