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