Introduction to TimeSeries - Analysis: Sampling, Quantization; z-Transforms, Fourier Series and Transforms; Random Processes, Auto-Regressive Moving Average (ARMA) models; Auto and Cross-correlation functions, Partial Auto-Correlation Function: Theory, Estimation and Applications; Power Spectrum: Theory, Estimation and Applications; Data/Measurement: Basics and Design of filters for data cleaning and preprocessing; Kalman filter; Applications to process data.
1. The structure of macromolecules, Terms and definitions, Degree ofpolymerization, Molecular weight and its distribution, Types and elassification: thermoplastics, thermosets, elastomers, copolymers,natural polymers, biopolymers, polysaccharides, poly nucleic acids,lipids, proteins2. Configurations and conformations, three dimensional structure ofmacromolecules3. Macromolecules in solution, molecular interactions,thermodynamics of mixing, multicomponent mixtures4. Macromolecules in solid state,
1. Introduction to complex material systems (a) Macromolecular systems: synthetic polymers, biological macromolecules (b) Multiphase systems: colloids, dispersions, emulsions 2. Review of fluid mechanics: stress, strain, velocity gradient, strain rate, Shear and extensional flows, Newtonian viscous fluids, viscometry, rheometry 3. Simplisitic models: Viscous models, Maxwell model 4. Creep, stress relaxation, oscillatory (dynamic) testing, material functions 5. Modeling of rheological behaviour (a) Continuum models: Governing equations, Constitutive relations i. Generalized Newtonian Fluids, Linear Viscoelastic materials, Superposition principle, Relaxation time spectra, time temperature equivalence, Convected derivatives, Models for slow flows, Differential models, integral models (b) Molecular models i. Microscopic origin of stress, Elastic dumbbell model, reptation, Overview of other models: Rouse, Zimm, DoiEdwards models
The course will introduce students to the art of numerical computation. The theory and derivation of computational techniques, error analysis, practical implementation and limitations will be covered in this course.