IIT Bombay

Introduction and Overview - Fundamentals of Vector Spaces - Basic Dimension and Sub-space of a Vector Space - Introduction to Normed Vector Spaces - Examples of Norms,Cauchy S

Contents: Background of reinforced earth, mechanism and concepts, Basis of reinforced earth wall design - Geosynthetics classifications, functions, applications, raw material

Contents: The Fundamentals of Managerial Economics : Goals and Constraints - The Nature and Importance of Profits - Understanding Incentives - Economic rationality, Scarcity

Introduction to Vector Calculus:Spherical and Cylindrical coordinates, gradient, divergence and curl, Laplacian operator - Volume and line integrals, surface integrals, Diverg

Contents: Understanding Creativity :The concept of creativity has been debated and discussed through number of critical positions. The historically contextualized definitions

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

Contents: Introduction : Scope and objective; Nature and types of dynamic loading; Importance of soil dynamics Vibration theory : Vibration of elementary systems; Degrees

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

Contents: Introduction : Types of dynamic loads - Basic background of methods available and motivation for structural dynamics. Dynamics of Single Degree-of-Freedom Structur

Introduction to Power System Stability : Power System Operation and Control - Stability Problems faced by Power Systems - Impact on Power System Operation and Control - Analys

Introduction to Turbomachineries:Axial flow compressors and Fans : Introduction - A simple two dimensional analytical model - 2-D Losses in axial flow compressor stage - Prof

Contents: Need to define Lebesgue Integral,Semi-algebra, Algebra, Monotone class, Sigma-algebra, Monotone class theorem. Measure spaces.Extension of measures from algebras to

Contents: Cryogenics and its applications, Properties of cryogenic fluids, Properties of materials at cryogenic temperature, Gas‐Liquefaction and Refrigeration Syste

Introduction and Basic Concepts : Concept of watershed, introduction to watershed management, different stakeholders and their relative importance, watershed management polici

Contents: Sound : Biology of Speech Processing; Place and Manner of Articulation; Word Boundary Detection; Argmax based computations; HMM and Speech Recognition. Words and

Contents: Polynomial and piecewisepolynomial Interpolation : Divided Difference, Lagrange and Newton Form,Osculatory Interpolation. Numerical Integration : Some Basic Rules,

Introduction - Basics of Light - Ray Model - Wave Model - Signal Distortion - Practical issues in Implementation of Fiber link - Optical Sources - Light Emitting Diodes - Lase

Introduction to Information Theory and Coding - Definition of Information Measure and Entropy - Extension of An Information Source and Markov Source - Adjoint of An Informatio

A Beginning with some practical situations, which call for multiresolution/ multiscale analysis - and how time-frequency analysis and wavelets arise from them. Examples: Image

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