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- Overview of scientific computing and the role of computers in solving scientific problems.
- Linux Essentials. Operating System concepts and features. Basic commands (file, directory and disk related commands). File system and attributes. I/O devices. Shell and elements of shell programming.
- Editors (Vi and Emacs)
- Number representation in computers and roundoff error. Implications for numerical computing.
- Python programming. Basics and flowcharts. Data types and building blocks. Control statement. Functions. Arrays. Input/Output.
- Data visualisation and analysis, statistical analysis, curve fitting using the least square fit approach.
- Series summation, numerical integration.
- Pseudo random numbers, applications of random sequences in scientific computing, simulating data and experiments, estimating errors in experiments using simulations.
- Solutions of algebraic equations, iterative solutions. Recursion relations, logistics map. Brief overview of fractals resulting from simple maps. Bisection method. Newton-Raphson method.
- Ordinary differential equations, coupled equations, second order equations. Applications in evolution of population, reaction rates, mechanics.
- Systems of linear equations, matrices, row reduction, diagonalisation. Two dimensional arrays. Cellular automata.

- Richard Peterson, Linux: The Complete Reference 6th edition, Tata McGraw (2008).
- The online material available at http://docs.python.org/

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- In this course the emphasis will be on practical knowledge and not on teaching electronics as a theory subject. The topics below provide a framework from which the instructor can choose experiments:
- Electronic Devices: Basic concepts of AC & DC current and voltage. Signals(sinusoidal and other) and signal sources. Voltage and current relationships in lumped circuit elements(Resistor, Capacitor and Inductor). Reactance and Impedance. Voltage current sources.
- Passive components. Device principle. Device characteristics( Semiconductor Diode and diac, power diode, signal diode, zener diode, LED photo diode varicap). Electromechanical devices, Indicators, variable components
- Active components: BJT, FET & MOSFET (Device principles, Characteristics, Comparison and applications). Amplifier. Switching. Current source.
- Negative resistance Devices: Unijunction Transistor, SCR, TRIAC.
- Power supply principles: Introduction to Linear and SMPS power supplies, basic principles and differences. Introduction to three terminal regulators (78XX, 79xx and LM317).
- Device applications. Diode applications (Rectification, Voltage regulation, Clipping, Clamping, voltage multipliers). Transistor applications (Amplification, oscillator, current source and Switch). Configurations(pushpull, Darlington, Bootstrapping, Differential amplifier).
- Integrated Circuits. Operational amplifier basics. Applications: Offset null, inverting amplifier, noninverting amplifier, logarithmic amplifier, integrator, differentiator, comparator, active rectifier, current to voltage convertion. Timer IC 555 basics , application as astable, monostable, bistable multivibrator.
- Digital Electronics: Introduction to Boolean Algebra, Number systems, Logic gates. Short project on a design/simulation application involving one of the devices studied using circuit simulator and realise the design on a PCB.

- P.Horowitz & Winfield Hill, The Art of Electronics, 02nd edition, Cambridge University Press (1989).
- R. L. Boylestad and L. Nashelsky, Electronics devices and circuit theory, 09th edition, Prentice Hall (2005).
- A. P. Malvino, Electronic principles, 06th edition, Career Education (1998).

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- Tools: The EM spectrum, Telescopes. Resolution and sensitivity of various direct measurements (time, angle, flux at various wavelengths, velocities). Important spectral lines. Inferring distances and masses, abundances, and energetics.
- Objects: Solar system, stars, clusters. The Milky Way.Interstellar matter (cold clouds, molecular clouds, HII regions, supernova remnants). Groups of galaxies. Large scale structure. CMBR.
- Physical processes and models: Newtonian gravity and binary orbits. Estimates of pressures and temperatures. Physical conditions in planets, the sun and stars. Mass-radius relation for cold objects. Basic dynamics of star clusters and galaxies. Newtonian cosmology. A physical introduction to relativistic gravity and its applications to the universe and compact objects.
- Microscopic radiation processes for atoms, molecules and free electrons. Optically thick and thin regimes. Formation of line / continuum spectra in various objects (stellar atmospheres, interstellar clouds, high energy electrons).
- Nuclear and particle processes: Stellar nucleosynthesis and energy generation. Cosmic ray processes and particle acceleration. Early universe and light element production. Other proposed particle processes (baryogenesis, dark matter candidates).

- F.H.Shu, Physical Universe: An Introduction to Astronomy, University Science Books (1982).
- K.D.Abhyankar, Astrophysics: Stars and Galaxies, Tata McGraw Hill (2002).
- S.A. Gregory and M.Zeilik, Introductory Astronomy and Astrophysics, 04th edition, Brooks Cole (1997).
- A.Unsold, B.Baschek and W.D.Brewer, The New Cosmos: An Introduction to Astronomy and Astrophysics, 05th edition, Springer (2005).
- T.P.Snow, The dynamic universe: An introduction to Astronomy, West publishing company (1991).

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- An introduction to biological molecules and chemical biology
- Physicochemical interactions, water structure, molecular symmetry and chirality
- The molecules of life: Carbohydrates, steroids, vitamins, coenzymes, hormones, lipids and nucleic acids, amino acids, peptides, and proteins
- Protein structure, function, conformation, folding and misfolding
- Enzyme catalysis, inhibition and drug design
- Chemical and biological synthesis
- Molecular recognition, binding, supramolecular assemblies and conformational dynamics
- Molecular selection, evolution and chemical genetics
- Techniques in Chemical Biology: Fluorescence, IR, CD, NMR, X-ray, microscopy, mass spectrometry, light scattering, ultrafast spectroscopy and single molecule biophysics

- R. J. Simmonds, Chemistry of Biomolecules, RSC (1992).
- Berg, Tymoczko and Stryer, Biochemistry W.H Freeman, 6th edition (2006).
- A.D. Miller, J. Tanner Essentails of Chemical Biology Wiley (2008).
- Editors: B. Larijani, C.A. Rosser, R.Woscholski, Chemical Biology: Techniques and Applications Wiley (2006).

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- Earth Sciences: Interfaces; Early Earth; Surface Processes, Formation of rocks, minerals, crystal structure; Time and its Measurement; Stratigraphy and the role of Fossils; Plate Tectonics and Internal Earth Processes; Earth Sciences and Societal benefits: Environmental concerns, Climate change and Economic Resources.

- J. Grotzinger, T. H. Jordan, F. Press and R. Siever, Understanding Earth, 05th edition, W.H. Freeman and Co. N.Y. USA (2007).
- E. J. Tarbuck, F. K. Lutgens and D. Tasa, Earth: An introduction to physical geology, 09th edition, Pearson Prentice Hall, USA (2008).
- R. Wikander and J. S. Monroe, Historical Geology, 04th edition, Thomson/Brooks/Cole (2004).

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- Mathematical notions: Sets, Functions, Sequences, Graphs, Boolean Logic, Proofs and types of proofs.
- Languages: Context free grammar, Examples, Ambiguity, Chomsky normal forms.
- Computability: Origin of Computability Theory, Gödel and the discovery of incomputability, Church-Turing thesis, Turing machines and their variants, Examples, Decidability, Reducibility, Recursion Theorem, Self referencing, Russell’s Paradox.
- Time Complexity: Big-O and small-o notation, Analysing algorithms, P and NP problems, Vertex cover problem, Hamiltonian path problem, Subset sum problem.
- Space Complexity: Savitch’s problem, The class PSPACE, Classes L and NL.
- Computing time and space complexity for various algorithms.

- Michael Sipser, Introduction to the Theory of computation, Course Technology Publishers (1996).
- S. Barry Cooper, Computability Theory, CRC Press (2003).

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- Meaning of a differential equation and its solution, examples, families of curves, orthogonal trajectories.
- First order equations: Homogeneous, exact, linear, Bernoulli, Riccati and Clairaut equations, equations reducible to first order equations.
- Second and higher order linear equations, linear equations with constant coefficients, general solution of homogeneous equations, operator method for finding a particular solution, vibra- tions in mechanical and electrical systems. Power series method: Legendre, Hermite, Bessel and hypergeometric equation.
- Special functions: Legendre, Hermite and Chebychev polynomials, Bessel functions and appli- cations.

- Earl A. Coddington, An Introduction to Ordinary Differential Equations, Dover Publications (1989).
- Ravi P. Agarwal and Donal O’Regan, Ordinary and Partial Differential Equations, Springer (2008).
- Shepley L. Ross, Differential Equations, Wiley (1984).
- George F. Simmons, Differential Equations with Applications and Historical Notes, Tata McGraw-Hill Publishing Company (1978).

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- This course is meant to provide a full overview of quantum physics and its impact on our understanding of the physical world. The course will cover aspects of modern physics for non-physics majors who will most probably not encounter these concepts in their major years, and will cover introductory quantum mechanics for physics majors, who will do more specialized courses later on.
- The birth of quantum theory will be explored from a historical point of view. Black body radiation, Photoelectric effect, photons, Compton scattering, Franck-Hertz experiment, Bohr atom and electron diffraction, deBroglie waves and the Wave particle duality of matter and light. An introduction to wave mechanics and Schroedinger’s equation in one, two and three dimensions.
- An appreciation of the quantum world at an informal level will be taken up across systems and across scales. Examples from particle physics, collective quantum phenomena, possibilities of building quantum computers etc will be discussed at a non-technical level.

- R. M. Eisberg and R. Resnick, Quantum physics of atoms, molecules, solids, nuclei and particles, Wiley (1974).
- R. P. Feynman, R. B. Leighton and M. L. Sands, The Feynman Lectures on Physics Vol. 3 Addison-Wesley (1989).
- S Gasiorowicz, Quantum Physics , Wiley (2003).
- A. P. French and E. F. Taylor, Introduction to quantum physics, Norton Publishing (1978).

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- In this course the students undertake workshop training in various fields including machine shop, woodwork, welding, glass blowing etc. The idea is to equip them with basic workshop training so that they are able to build things and fabricate equipment required for their research projects.