1 Courses taken

First Semseter

• Classical Mechanics I: Statics, Newton’s equations of motion, Motion under constant force, Harmonic oscillator, Central Force, Conservation laws, Scattering, System of particles, Collision, Special relativity and few other Mathematical Formalisms • Algebra I: Groups and Subgroups, Homomorphisms, Equivalence rela- tions and Partitions, Quotient Groups, Vector Spaces, Linear Transforma- tions, The matrix of a linear transformation, Linear operators and Eigen values, Characteristic polynomial, Orthogonal matrices and Rotations, Di- agonalization. • Calculus I: Functions of one variable: Real number system, Limits and continuity, Differentiation , Chain rule, Mean Value theorems and ap- plications, Taylor expansion, L’Hospital’s rule, Integration, Fundamental Theorem of Calculus, Change of variable and applications, Exponential, Logarithmic, Trigonometric and Inverse Trigonometric functions, Appli- cations of Integration. • Introduction to Programming: Using the prototype programming lanuage Haskell,Basic data types, tuples, lists, Pattern matching, opera- tions on lists, Reduction strategies, Lazy evaluation, User-defined Data types, Polymorphism. Assignment statement, Conditional statement, It- eration, Arrays, Stacks, Queues, Linked lists, Recursion, File handling. • Humanities I - Creative English: Public Speaking, Interaction, Cre- ative Writing in prose and poetry, Critical analysis of a literature work. Second Semester

• Classical Mechanics II: Generalized Coordiantes, Classical Dynam- cics using Hamiltonian and Lagrangian formalism, Rigid Body Dynam- ics,Introduction to Non Linear Dynamics and Chaos • Statisical Mechanics I : Thermodyanamics, Kinetic theory of Gases, Ensemble Formalism of Classical Statistical Mechanics: Micro Canonicl, Canonical and Grand Canonical, Thermodynamic Variables in Statistical Ensemble Formalism. • Electromagnetism I: Vector Calculus, Mathematical Methods in Elctro- magnetism, Electrostatics,Electrodynamics, Magentostatics, Electromag- netism and Special Relativity. • Calculus II: Series and Sequences, Series and Sequnces of Functions,Limits and continuity, Partial derivatives and applications, Lagrange multiplier, Taylor expansion, Double integrals, Iterated integrals and applications • Humanities II - Economics: Fundamentals of Economics, Markets and Government, Supply and Demand, Analysis of Costs, Various Kinds of markets,Introduction to Macroeconomics and Multiplier Model

1 Third Semester

• Quantum Mechanics II : Limitations of classical physics, Heisenberg’s matrix mechanics, Schrodinger equation, Free particle, Potential wells and barriers, Harmonic oscillator, Hydrogen atom, Angular momentum and Addition of Anguluar Momenta, Electron spin, Pauli principle, Time In- dependent Perturbation Theory.

• Properties of Matter : Introduction to Crystal Structures and lat- tices, X-ray Diffraction, Stress-Strain tensors and Theory of Elasticity, Fluid Mechanics till Navier-Stokes Equation

• Mathematical Physics : Ordinary and Partial differential equations, Special functions, Group theory for physicists: finite groups, Lie groups, and their representations.

• Calclus III : Vector calculus: Vector fields, line integrals, Green’s the- orem, Curl, Divergence, Surface integrals, Stokes’ theorem. Differential equations: Homogeneous equations, first order linear equations, second order linear equations. Fourth Semester

• Quantum Mechanics II: Quantising the Elctromagentic field, Mathe- matical Formalism of Phase Spaces in Quantum Mechanics, Phase Space Distributions and Wigner Funtion,SU(2) group, A brief introduction to Quantum Dynamical Master Equation

• Atomic and Molecular Physics: Heisenbers, Schrodinger and Dirac Interaction Pictures, Time Dependent Perturbation Theory, Scattering Theory, Atomic Spectra, Thomas- Fermi model, Approximation Methods : Hartree and Hartree-Fock method, Heitler-london method, Molecular Spectra and Linear Combination of Atomic Orbitals.

• Electromagnetism II: Electromagnetic waves, Wave guides, Cavity res- onators, Electromagnetic theory of light, Geometrical Optics, Wave optics, Interference, Diffraction, Polarization

• Complex Analysis: Analytic functions, Power series, Exponential and logarithmic functions, Conformality, Complex integration, Cauchy’s theo- rem, Cauchy’s integral formula, Singularities, Taylor’s theorem, The Max- imum principle,Residue theorem and applications.

2 Ongoing and To be taken Courses

Fifth Semester (ongoing semster)

• Quantum Mechanics III: Relativistic wave equations, Klein-Gordon and Dirac equations, Solutions in Coulomb field, Introductory ideas on quantum field theory

2 • Statistical Physics II: Basics of quantum statistical mechanics, Ideal Bose and Fermi gases,Phase Transitions, Applications—Ising model

• Condensed Matter Physics: Crystal Structures and X-ray Diffrac- tion, Vibrations in Crystals and Phonons, Phonon Statistics, Free Elec- tron Theory, Bound Electron Theory, Quasi-Bound Electron theory and Semi-Conductors, insights into recent Developments like Quantum Hall Effect and Giant Magnetoresistance.

• Laboratory I: Basic Experiments on Diodes, Mechanics and Optics Sixth Semester : From the Course details at www.cmi.ac.in/teaching/courses.php?prog=bscp

• Computational methods:Programming in C, Plotting, data analysis and statistical procedures,Interpolation, Numerical methods for algebraic equations, Integration, Ordinary differential equations and Matrix analy- sis, Monte-Carlo methods, simulation, Ising model, symbolic computations using Maxima and Mathematica

• Laboratory II • Optional II - General relativity, Cosmology and Astrophysics • Optional III- Nuclear and Particle Physics

3 Other Unoffical Courses Attended by me

• Studied Non-linear Dynamics and Chaos under Prof M.V.N.Murthy in the summer of 2006 which covered basics of Classical Pertubation Theory and Chaos • Studied Path integral formalism and Quantum Collision theory on Phase Spaces. Also did a breif reading on Discrete phase spaces. • Attended a 2 month long lecture series on Topolgy by Prof.S.Ramanan which introduced Point set and Algebraic topolgy with Manifolds • Attending a lecture series by Prof N. Mukunda on Finite Groups in Pysics which is begin delivered at Institute of Mathmatical Sciences • Continuing my studies on Phase Space Distributions in Quantum Me- chanics and also Path Integral Approach in solving Quantum Mechanical Problems. • Started studying mathematical aspects of anyon statistics and introduc- tory Knot Theory.

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