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Sets, Relations and Functions

• Relation
• Union and Intersection
• Function

Complex Number and Quadratic Equations

• Argand Diagram
• Square Roots
• Quadratic Equations

Matrices and Determinants

• Adjoint
• Rank of a Matrix
• Test of Consistency
• Area of Triangles using Determinants

Permutation and Combinations

Application Based

Binomial Theorem and its Simple Applications

• General Term and Middle Term

Sequence and Series

• Arithmetic Mean
• Geometric Mean

Limits, Continuity and Differentiability

• Maxima and Minima
• Application of Derivatives
• Graphs of Simple Function
• Trigonometric Functions
• Differentiation of Trigonometric, Inverse Trigonometric and Logarithmic Function

Integral Calculus

• By Parts Functions
• By Partial Functions
• Integration Using Trigonometric Identities

Differential Equations

• Solution of Homogeneous and Linear Differential Equation

Coordinate Geometry

• Intercepts of a Line on a Coordinate Axis
• Angles Between Two Lines
• Intersection of Lines
• Radius of a Circle
• Equation of a Circle
• Equations of a Conic Sections

3D Geometry

• Skew Lines
• Equations of a Line
• Angle Between Two Intersecting Lines

Vector Algebra

• Vector and Scalars
• Vector and Scalar Products

Statistics and Probability

• Mean, Median and Mode
• Variance and Standard Deviation
• Probability Distribution
• Bayes Theorem

Trigonometry

• Trigonometric Functions
• Inverse Trigonometric Functions

Physics and Measurement

• SI Units
• Dimensions of Physics Quantities
• Dimensional Analysis

Kinematics

• Speed and Velocity
• Scalars and Vectors
• Motion in a Plane
• Projectile Motion
• Motion and Non-Uniform Motion

Laws of Motion

• Newton’s Law of Motion
• Momentum
• Static and Kinetic Friction
• Centripetal Force

Work, Energy and Power

• Kinetic and Potential Energy
• Work-Energy Theorem
• Motion in a Vertical Circle
• Elastic and Inelastic Collisions in One and Two Dimensions

Rotational Motion

• Inertia
• Centre of Mass
• Radius of Gyration
• Parallel and Perpendicular Axes Theorem

Gravitation

• Kepler’s Law of Planetary Motion
• Motion of a Satellite
• Orbital Velocity

Properties of Solids and Liquids

• Hooke’s Law
• Young Modulus
• Pascal’s Law
• Viscosity
• Stoke’s Law
• Surface Tension
• Heat, Temperature and Thermal Expansion
• Heat Transfer

Thermodynamics

• Second Law of Thermodynamics
• Isothermal and Adiabatic Processes
• Heat, Work and Internal Energy

Kinetic Theory of Gases

• RMS Speed of Gas Molecules
• Pressure
• Avogadro’s Number

Oscillation and Waves

• Simple Harmonic Motion
• Wave Motion
• Kinetic and Potential Energies

Electrostatics

• Coulomb's Law
• Electric Dipole
• Gauss’s Law
• Equipotential Surfaces
• Conductors and Insulators
• Energy Stored in a Capacitor

Current Electricity

• Drift Velocity
• Ohm’s Law
• Metre Bridge
• Wheatstone Bridge
• Series and Parallel Combination of Resistors
• EMF of a Cell

Magnetic Effects of Current and Magnetism

• Savart Law
• Ampere’s Law
• Effect of Temperature on Magnetic Properties
• Moving Coil Galvanometer

Electromagnetic Induction and Alternating Currents

• Faraday’s Law
• Lenz’s Law
• Eddy Currents
• LCR Series Circuit
• Power in AC Circuit
• AC Generator and Transformer

Electromagnetic Waves

• Electromagnetic Waves and its Features
• Applications of EM Waves

Optics

• Power of Lens
• Microscope and Astronomical Telescope
• Huygens Principle
• Polarisation
• Diffraction Due to a Single Slit

Dual Nature of Matter and Radiation

• Photoelectric Effect
• Einstein’s Photoelectric Equation
• Hertz and Lenard’s Observation

Atoms and Nuclei

• Rutherford’s Model of Atom
• Bohr Model
• Mass Energy Relation
• Nuclear Fission and Fusion

Electronic Devices

• Logic Gates
• I-V Characteristics of LED
• Zener Diode

Experimental Skills

• LED Resistor
• Screw Gauge

Some Basic Concepts in Chemistry

• Dalton’s Atomic Theory
• Chemical Equations and Stoichiometry

Atomic Structure

• Bohr's Model
• Concept Of Atomic Orbitals As One-Electron Wave Functions
• Aufbau Principle

Chemical Bonding And Molecular Structure

• Kossel-Lewis Approach To Chemical Bond Formation
• Ionic And Covalent Bonds
• Concept Of Electronegativity
• Valence Shell Electron Pair Repulsion
• Valence Bond Theory
• LCAOs
• Hydrogen Bonding And Its Applications

Chemical Thermodynamics

• Hess’s Law Of Constant Heat Summation
• Standard Gibbs Energy Change

Solutions

• Raoult's Law
• Abnormal Value Of Molar Mass
• Elevation Of Boiling Point And Osmotic Pressure
• Van’t Hoff Factor And Its Significance

Equilibrium

• Henry's Law
• Le Chatelier’s Principle
• Ionic Equilibrium

Redox Reactions And Electrochemistry

• Electrolytic And Metallic Conduction
• Kohlrausch’s Law And Its Applications
• Electrolytic And Galvanic Cells
• Dry Cell And Lead Accumulator

Chemical Kinetics

• Differential And Integral Forms Of Zero And First-Order Reactions
• Collision Theory Of Bimolecular Gaseous Reactions

Classification Of Elements And Periodicity In Properties

• Modem Periodic Law And Present Form Of The Periodic Table

P- Block Elements

d - and f- Block Elements

• Transition Elements
• Lanthanoids

Coordination Compounds

• IUPAC Nomenclature Of Mononuclear Coordination Compounds
• Bonding-Valence Bond Approach And Basic Ideas Of Crystal Field Theory

Purification And Characterisation Of Organic Compounds

• Crystallisation
• Detection Of Nitrogen, Sulphur, Phosphorus, And Halogens
• Estimation Of Carbon, Hydrogen, Nitrogen, Halogens, Sulphur, And Phosphorus

Some Basic Principles Of Organic Chemistry

• Isomerism - Structural And Stereoisomerism
• Homolytic And Heterolytic
• Electronic Displacement In A Covalent Bond

Hydrocarbons

• Alkanes
• Aromatic Hydrocarbons

Organic Compounds Containing Halogens

• Nature of C-X Bond

Organic Compounds Containing Oxygen

• Alcohols
• Ethers
• Aldehyde and Ketones

Biomolecules

• Carbohydrates
• Proteins
• Vitamins

Organic Compounds Containing Nitrogen

Principles Related To Practical Chemistry

• Detection Of Extra Elements
• Preparation Of Lyophilic And Lyophobic Solutions