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Course Structure
The Curriculum Section of this Course covers the following Content :
Lecture 1: Dimensional Analysis
Lecture 2: Vector Algebra
Lecture 3: Vector Calculus
Lecture 4: Linear Algebra
Lecture 5: Linear Differential Equations
Lecture 6: Special Functions
Lecture 7: Fourier Series
Lecture 8: Fourier Transforms
Lecture 9: Laplace Transforms
Lecture 10: Complex Analysis
Lecture 11: Series of a Complex Terms
Lecture 12: Elementary Probability Theory
Lecture 13: Random Variable
Lecture 14: Binomial Probability Distribution
Lecture 15: Poisson Distribution
Lecture 16: Continuous Distribution
Lecture 17: Normal Distribution
Lecture 18: Continuous Random Variables
Lecture 1: Green Function (Influence Function)
Lecture 2: Partial Differential Equations
Lecture 3: Numerical Methods
Lecture 4: Tensor
Lecture 5: Introductory Group Theory
Lecture 1: Basic Principles of Classical Mechanics
Lecture 2: Stability Analysis of a System
Lecture 3: Central Force Motion
Lecture 4: Scattering : Laboratory And Centre Of Mass Systems
Lecture 5: Rigid Body Motion
Lecture 6: Momenta Of Inertia Tensor
Lecture 7: Non-Inertial Frame Of Reference And Pseudo Force
Lecture 8: Lagrangian And Hamiltonian Formalisms
Lecture 9: Hamiltons Variational Principle
Lecture 10: Constraints
Lecture 11: Degree Of Freedom
Lecture 12: Generalised Coordinates
Lecture 13: Lagranges Equations of Motion From Hamiltons Principle
Lecture 14: Variational Technique, Eulers Lagrange Differential Equation
Lecture 15: Hamiltons Canonical Equations Of Motion
Lecture 16: Conservation Laws And Cyclic Coordinates
Lecture 17: Periodic Motion
Lecture 18: Special Theory Of Relativity
Lecture 19: Relativistic Kinematics and Mass - Energy Equivalence
Lecture 20: Canonical Transformation
Lecture 21: Poissons Brackets
Lecture 1: Electrostatics
Lecture 2: Magnetostatics
Lecture 1: Reflection and Refraction of Electromagnetic Waves
Lecture 2: Polarization
Lecture 3: Interference & Coherence
Lecture 4: Dynamics of Charged Particles in Static and Uniform EM Field
Lecture 5: Dispersion Relations in Plasms
Lecture 6: Lorentz Invariance of Maxwells Equations
Lecture 7: Transmission Lines
Lecture 8: Wave Guides
Lecture 9: Radiation from Moving Charges
Lecture 10: Radiation Produced by an Oscillating Electric Dipole
Lecture 11: Retarded Potential
Lecture 1: Quantum Mechanics
Lecture 2: Wave-Particle Duality
Lecture 3: Commutators
Lecture 4: Heisenbergs Uncertainty Principle
Lecture 5: Dirac's Bra And Ket Notation
Lecture 6: Schrodinger Equation
Lecture 7: Eigen-Value Problems
Lecture 8: Tunneling Through a Barrier
Lecture 9: Motion in a Central Potential
Lecture 10: Orbital Angular Momentum
Lecture 11: Spin
Lecture 12: Addition of Angular Momentum
Lecture 13: The Hydrogen Atom
Lecture 14: Stern-Gerlach Experiment
Lecture 1: Time-Independent Perturbation Theory and Applications
Lecture 2: Variational Method
Lecture 3: Time Dependent Perturbation Theory and Fermi's Golden Rule
Lecture 4: Identical Particles
Lecture 5: Pauli Exclusion Principle
Lecture 6: Spin-Statistics Theorem
Lecture 7: Spin-Orbit Coupling
Lecture 8: Elementary Theory of Scattering
Lecture 9: Born Approximation
Lecture 10: Partial Wave Analysis
Lecture 11: Relativistic Quantum Mechanics
Lecture 12: Semi-Classical Theory of Radiation
Lecture 13: Selection Rules
Lecture 1: Law of Thermodynamics and Their Consequences
Lecture 2: Thermodynamic Potentials
Lecture 3: The Maxwell Relations
Lecture 4: Chemical Potential
Lecture 5: Phase Equilibria
Lecture 6: Phase-Space
Lecture 7: Micro and Macro States
Lecture 8: Microcanonical, Canonical and Grand-Canonical Ensembles
Lecture 9: Partition Function
Lecture 10: Partition Function and Thermodynamical Quantities
Lecture 11: Microcanonical Ensemble and Relation with Thermodynamic Quantities
Lecture 12: Canonical Ensemble and Thermodynamic Relations
Lecture 13: Grand Canonical Ensemble and its Connection with Thermodynamic Quantities
Lecture 14: Classical and Quantum Statistics
Lecture 15: Ideal Bose Gas
Lecture 16: Ideal Fermi Gas
Lecture 17: Principle of Detailed Balance
Lecture 18: Black-Body Radiation and The Planck Radiation Law
Lecture 19: Phase Transitions and Magnetic Properties of Matter
Lecture 20: Theories of Paramagnetism, Diamagnetism and Ferromagnetism
Lecture 21: The Ising Model
Lecture 22: Bose-Einstein Condensation and Process
Lecture 23: Bose-Einstein Condensation and Liquid Helium
Lecture 24: Diffusion Equation and Brownian Motion
Lecture 25: Transport Phenomena
Lecture 1: Semiconductor Devices
Lecture 2: Metal-Oxide Semiconductor Field-Effect Transistor
Lecture 3: Device Structure and Characteristics
Lecture 4: Photo-Electronic Devices
Lecture 5: Operational Amplifier
Lecture 6: Digital Techniques and Applications
Lecture 7: Analog to Digital Converter and Digital to Analog Converter
Lecture 8: Microprocessor and Microcontroller Basics
Lecture 1: Data Interpretation and Analysis
Lecture 2: Error Analysis
Lecture 3: Linear and Non-Linear Curve Fitting
Lecture 4: Least Squares Fitting
Lecture 5: Chi-Square Test
Lecture 6: Transducers
Lecture 7: Vacuum Systems
Lecture 8: Pumping Speed
Lecture 9: Mechanical Pump
Lecture 10: Diffusion Pump
Lecture 11: Measurement of Strain
Lecture 12: Measurement of Displacement
Lecture 13: Measurement of Magnetic Flux (Ballistic Method)
Lecture 14: Measurement of Temperature
Lecture 15: Particle Detectors
Lecture 16: Single Conditioning
Lecture 17: The Differential Amplifier
Lecture 18: Instrumentation Amplifier
Lecture 19: Feedback Amplifiers
Lecture 20: Noise Reduction
Lecture 21: Filtering or Removal Of Noise
Lecture 22: Shielding and Grounding
Lecture 23: Grounding Systems
Lecture 24: Fourier Transform
Lecture 25: Non-Periodic Signals and Fourier Transforms
Lecture 26: Lock-In-Detector
Lecture 27: Box-Car Integrator
Lecture 28: Modulation Techniques
Lecture 1: Quantum States of an Electron in an Atom
Lecture 2: Electron Spin
Lecture 3: Stern - Gerlach Experiment
Lecture 4: Hydrogen Spectrum
Lecture 5: Spectrum of Helium
Lecture 6: Spectrum of Alkali Atoms
Lecture 7: Relativistic Correction for Energy Levels of Hydrogen
Lecture 8: Hyperfine Structure
Lecture 9: Isotopic Shift
Lecture 10: Width of Spectral Lines
Lecture 11: Terminology
Lecture 12: Spectroscopic Terms and Their Notations
Lecture 13: J - J Coupling
Lecture 14: L - S Coupling
Lecture 15: Zeeman Effect
Lecture 16: Paschen - Back Effect
Lecture 17: Stark Effect
Lecture 18: Electron Spin Resonance (ESR)
Lecture 19: Nuclear Magnetic Resonance (NMR)
Lecture 20: Frank Codon Principle
Lecture 21: The Born - Oppenheimer Approximation
Lecture 22: Chemical Shift
Lecture 1: Molecular Spectra
Lecture 2: Raman Spectra
Lecture 3: Simulated Absorption of Radiation
Lecture 4: Spontaneous Emission of Radiation
Lecture 5: Stimulated Emission of Radiation
Lecture 6: Einstein Coefficients
Lecture 7: Population Inversion and Optical Pumping in Laser Process
Lecture 8: Ruby Laser
Lecture 9: Helium - Neon Laser
Lecture 10: Determination of Coherence Length
Lecture 1: Crystal Structure and Specific Heat of Solids
Lecture 2: Bravais Lattices
Lecture 3: Lattices in Cubic System
Lecture 4: The Reciprocal Lattice
Lecture 5: X-ray Diffraction
Lecture 6: Crystal Structure Determination Techniques
Lecture 7: The Atomic Scattering Factor
Lecture 8: The Geometrical Structure Factor
Lecture 9: Bonding in Crystals
Lecture 10: Elastic Energy Density in Cubic Crystals
Lecture 11: Lattice Vibrations
Lecture 12: The Linear Diatomic Lattice
Lecture 13: Phonons
Lecture 14: Lattice Specific Heat
Lecture 15: Classical Theory of Heat Capacity
Lecture 16: Dulong and Petits Law
Lecture 17: The Einstein Theory
Lecture 18: The Debyes Theory
Lecture 19: Free Electron Theory of Metals
Lecture 20: Pauli Spin Paramagnetism
Lecture 21: Electronic Specific Heat
Lecture 22: Relaxation
Lecture 23: Drude Model Of Electrical and Thermal Conductivity
Lecture 24: Hall Effect
Lecture 25: Thermo - Electric Effects
Lecture 26: Band Theory of Solids
Lecture 27: Band Theory of Insulators and Semiconductors
Lecture 28: Semiconductors
Lecture 29: Londons Equations
Lecture 30: The BCS Theory
Lecture 31: Josephson Effects
Lecture 32: Applications of Superconductors
Lecture 33: Superfluidity
Lecture 34: Defects and Dislocations
Lecture 35: Kinds of Liquid Crystalline Order
Lecture 36: Conducting Polymers
Lecture 37: Quasicrystals
Lecture : Nuclear and Particle Physics
Lecture 1: Nuclear Reactions and Reaction Mechanisms
Lecture 2: Compound Nucleus
Lecture 3: Direct Reactions
Lecture 4: Classification of Fundamental Forces
Lecture 5: Classification of Elementary Particles
Lecture 6: Quarks
Lecture 7: Isospin
Lecture 8: Parity
Lecture 9: Strangeness, Gell-Mann Nishijima Formula
Lecture 10: C, P and T Invariance
Lecture 11: Relativistic Kinematics
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