Bigger Smaller
Shapes around us
Movements
Inside and outside
Nearer and farther
On and under
Above and below
Top and bottom
Before and After
Between
Understanding Shapes

Introduction
Number names
Counting 1 to 9
Concept of zero

Introduction
Addition

Introduction
Subtraction

Introduction
Numbers from 10 to 20
Group of tens and ones

Introduction
Time
clock
Minu s day

Introduction
Longer and Shorter
Big and Small
Tall and short
Thick and Thin
Heavy and light
Measurement

Introduction
Numbers from 21 to 30
Numbers from 31 to 40
Numbers from 41 to 50
Facts about number 21 to 50

Introduction
Data
Pictorial representation of data

Introduction
Patterns
Making Patterns
Pattern Using Numbers

Introduction
Numbers from 51 to 60
Numbers from 61 to 70
Numbers from 71 to 80
Numbers from 81 to 90
Numbers from 91 to 100
Numbers on the abacus

Introduction
Money money
Notes and Coins in India

Introduction
Ordinal Number
How many
Collection

Introduction
2D shapes
3D objects
Drawing circle from cylinder and sphere

Introduction
Counting Numbers
Even and odd Numbers
Counting in Groups
Position of objects

Introduction
Weight
Weight balance
Measurements

Two Digit numbers in tens and ones
Group of tens and ones
Expansion of numbers through tens and ones
Making hundreds using abacus

Introduction
Patterns around us
Number Patterns
Making Patterns

Shapes
Understanding Shapes
Plane figures sides and vertices
Shapes with tangrams

Introduction
Capacity
Measurements of Capacity

Place value of two digit numbers
Comparing Numbers
Arranging Ascending order of 2 digit numbers
Arranging Descending order of 2-digit numbers
Comparison of 2 digit numbers

Introduction
Time
Day and week
Months & Years
Seasons
Longer and shorter duration events

Mental Arithmetic
Mental calculation
Sum of Counting Numbers

Straight lines
Curved lines
Difference between straight line and curved line
Line in Pictures

Regrouping of numbers
Addition
Addition of two digit Numbers
Subtraction
Addition of 3 digit numbers
Addition properties
Subtraction of 2 digit numbers
Subtraction of 3 digit numbers
Subtraction properties

Introduction
Length
Units of length
Use of a scale or ruler

Addition of 2 digit numbers with carrying
Addition of 2 digit numbers without carrying
Subtraction of 2 digit numbers with Borrowing
Subtraction of 2 digit numbers without Borrowing
Multiplication
Division
Money

Introduction
Data
Pictorial representation of data
Pictograph

Introduction
2D Shapes
3D Shapes
Symmetry

Numbers
Counting Numbers
Even and odd numbers
Ascending and descending order of numbers
Place value
Four Digit Numbers
Counting thousands
Comparing numbers

Introduction
Addition
Subtraction
Estimation
Problems on addition

Introduction
Measurement of length
Units of length
Ruler for measuring length
Conversion of Units

Fun with shapes
Sides and Vertices
Tangram
Tiling shapes
Lines
Polygons

Addition of Numbers with regrouping
Subtraction of numbers with borrowing
Addition using place value

Introduction
Time
Am and Pm
Calendar

Introduction
Weights
Units of weight
Comparision of weights
Conversion of units

Introduction
Multiplication
Multiplication by 2 digit numbers
Multiplication by 10,100 and 1000
Properties of Multiplication
Multiplication Facts
Problems on Multiplication
Column multiplication

Introduction
Patterns everywhere
Making Patterns
Number Patterns
Patterns in Multiplication

Introduction
Capacity
Units of capacity
Comparing Capacity
Conversion of units

Introduction
Equal sharing
Division
Short Division
Long division
Mental Arithmetic

Introduction
Data
Pictorial representation of data
Tally marks
Pictograph

Introduction
Money
Currency Facts
Conversion of Rupees and paise
Making bills
Making coins and notes

Shapes
Shapes with tangrams
Tiling Tessellating Shapes
Nets for building 3-D shapes
Numbering system

Measurement of length
Measures of length
Conversion of Length
Addition and Subtraction with Conversion
Problems on metres and centimetres

Multiplication
Multiplication Tables
Estimation
Mental calculation

Introduction
Time
AM and PM
Dates
The 24 Hour clock
Duration of time

Maps
Objects
View of objects
position of objects

Money
Rupees and paise
Conversion of Rupees and Paise
Finding unit and multiple costs
Shopping

Capacity
Measures of capacity
Volume
Addition and Subtraction by Conversion
Conversion of Standard Unit of Capacity

Circle
Elements of a circle
Drawing circles

Introduction
Fractions
Fraction- part of a whole
Types of fractions
Equivalent fractions

Patterns around us
Patterns
Geometrical pattern based on symmetry
Number Patterns
Patterns in multiplication and division
Making Patterns

Addition
Subtraction
Multiplication
Division
Estimation

Weights
Mass
Measurements

Introduction
Area
Perimeter
Square and Rectangle
Finding Area and perimeter using formula

Introduction
Data Handling
Pictograph
Bar graph

Introduction
Comparing Numbers
Large Numbers in Practice
Using Brackets
Roman Numerals
Summary

Introduction
Whole Numbers
The Number Line
Properties of Whole Numbers
Patterns in Whole Numbers
Summary

Introduction
Factors and Multiples
Prime and Composite Numbers
Tests for Divisibility of Numbers
Common Factors and Common Multiples
Prime Factorisation
Highest Common Factor
Lowest Common Multiple
Summary

Introduction
A Line Segment
A Line
Intersecting Lines
Parallel Lines
Ray
Curves
Polygons
Angles
Triangles
Quadrilaterals
Circles
Summary
Points

Introduction
Measuring Line Segments
Angles – Right and Straight
Angles Acute,Obtuse and Reflex
Measuring Angles
Perpendicular Lines
Classification of Triangles
Quadrilaterals
Polygons
Three Dimensional Shapes
Summary

Introduction
Integers
Representation of Integers on a number line Ordering of integers Additon of Integers
Addition of Integers on a Number Line Subtraction of Integers with the help of a Number Line
Summary

Introduction
A Fraction
Fraction on the Number Line
Proper Fractions
Equivalent Fractions
Simplest Form of a Fraction
Like Fractions
Addition and Subtraction of Fractions
Adding or subtracting Like fractions Adding and Subtracting Fractions Summary

Introduction
Tenths
Hundredths
Comparing Decimals
Using Decimals
Addition of Numbers with Decimals
Subtraction of Decimals
Summary

Introduction
Recording Data
Organisation of Data
Pictograph
Interpretation of a Pictograph
Drawing a Pictograph
A Bar Graph
Interpretation of a bar graph Drawing a bar graph Summary

Introduction
Perimeter
Perimeter of a Rectangle Perimeter of Regular Shapes Area
Area of a rectangle Area of a square Summary

Introduction
Matchstick Patterns
The Idea of a Variable
Use of Variables in Common Rules
Expressions with Variables
Using Expressions Practically
What is an Equation?
Summary

Introduction
Ratio
Proportion
Unitary Method
Summary

Introduction
Making Symmetric Figures : Ink-blot Devils
Figures with Two Lines of Symmetry
Figures with Multiple (more than two) Lines of Symmetry
Reflection and Symmetry
Summary

Introduction
The Circle
Construction of a Circle when its Radius is known A Line Segment
Construction of a Line Segment of a given Length Perpendiculars
Perpendicular to a Line through a Point on it Perpendicular to a Line through a Point not on it The Perpendicular bisector of a Line Segment Angles
Constructing an Angle of a given measure Constructing a copy of an Angle of unknown measure Bisector of an Angle Angles of Special Measures Summary

Introduction
Present tenses
Present tense aspects
Simple present tense
Present Continuous
Present perfect tense

Past tense aspects
Past perfect
Simple past and present perfect tense

Futurity in English
Future tense aspects
More on future tense
Using will and shall

Introduction
Kinds of adverbs
Examples

Definition
Types of Adjectives
As Attributive and Predicative
Degrees
Adjectives Table1
Adjectives Table 2
Adjectives Table 3
Comparative form with To
Comparative into Positive
Superlative into Positive
Adjectives from Noun and verb
Conversation 1
Conversation 2
Special Adjectives
Examples

Introduction
Subject, Predicate,Object
what is an object?
Examples of objects
Examples of subject and predicate 1
Examples of subject and predicate 2

Introduction
Active & Passive Voice
Example

Introduction
Question tags
Seldom, Rarely etc

Introduction
Reporting commands
Reporting questions
Reporting statements

Pronouns introduction
More on pronouns
Personal pronouns
Demonstrative Pronouns
Possessive Pronouns
Reflexive Pronouns
Indefinite Pronouns

Basic forms of Be
'Be' used with Will, May, Can etc

Positive, Negative and Question Modes

Introduction
Objects of preposition 1
Objects of preposition 2
Prepositions with adjectives
Prepositions with forms of transport
Place and direction
Place and time
Examples

Although
As
Because
Despite
Inspite of
But
neither nor
SO
Unless
While
yet
Common conjunctions

Introduction
Properties of Rational Numbers
Representation of Rational Numbers on the Number Line
Rational Numbers between Two Rational Numbers
Summary

Introduction
Solving Equations which have Linear Expressions on one Side
Some Applications
Solving Equations having the Variable on both Sides
Some More Applications
Reducing Equations to Simpler Form
Summary

Introduction
Polygons
Classification of polygons
Diagonals
Regular and irregular polygons
Angle sum property
Kinds of Quadrilaterals
Trapezium
Kite
Parallelogram
Diagonals of a parallelogram
Some Special Parallelograms
Rhombus
A rectangle
A square

Introduction
Constructing a Quadrilateral
When the Lengths of Four Sides and a Diagonal are given
When Two Diagonals and Three Sides are given
When Two Adjacent sides and Three Angles are known
When three sides and two included angles are given
Some Special Cases
Summary

Looking for Information
Organising Data
Grouping Data
Bars with a difference Circle Graph or Pie Chart
Chance and Probability
Summary

Introduction
Finding the Square of a Number
Square Roots
Finding square roots Finding square root through repeated subtraction
Finding square root through prime factorisation
Finding square root by division method
Summary

Introduction
Cubes
Smallest multiple that is a perfect cube
Cube Roots
Cube root through prime factorisation method
Summary

Recalling Ratios and Percentages
Finding the Increase or Decrease Per cent
Finding Discounts
Prices Related to Buying and Selling (Profit and Loss)
Finding cost price/selling price, profit percentage/loss percentage Sales Tax/Value Added Tax
Compound Interest
Rate Compounded Annually or Half Yearly(Semi Annually)
Summary
Introduction

What are Expressions
Terms, Factors and Coefficients
Monomials, Binomials and Polynomials
Like and Unlike Terms
Addition and Substraction of Algebraic Expressions
Multiplying a Monomial by a Polynomial
Multiplying a monomial by a Binomial Multiplying a Polynomial by a Polynomial
Multiplying a binomial by a Trinomial
What is an Identity
Standard Identities
Applying Identities
Summary
Introduction

Introduction
Views of 3D-Shapes
Mapping Space Around Us
Faces, Edges and Vertices
Summary

Introduction
Let us Recall
Area of Trapezium
Area of a General Quadrilateral
Solid Shapes
Surface Area of Cube, Cuboid and Cylinder
Volume of Cube, Cuboid and Cylinder
Volume and Capacity
Summary

Introduction
Powers with Negative Exponents
Laws of Exponents
Use of Exponents to Express Small Numbers in Standard Fo
Comparing very large and very small numbers

Introduction
Direct Proportion
Inverse Proportion
Summary

Introduction
What is Factorisation?
Method of common factors Factorisation by regrouping terms Factorisation using Identities Factors of the form ( x + a) ( x + b Division of Algebraic Expressions
Division of a Polynomial by a Monomial Division of Algebraic Expressions continued(Polynomial
Summary

Introduction
A Bar Graph A Pie Graph (or a circle-graph) A Line Graph Linear Graphs
Coordinates Some Applications
Summary

Introduction
Numbers in General Form
Games with Numbers
Letters for Digits
Tests of Divisibility
Summary

Introduction
Irrational Numbers
Real Numbers and their Decimal Expansions
Representing Real numbers on the Number Line
Operations and Real Numbers
Laws of Exponents for Real Numbers
Summary

Introduction
Polynomials in One Variable
Zeroes of a Polynomial
Remainder Theorem
Factorisation of Polynomials
Algebraic Identities
Summary

Introduction
Cartesian System
Plotting a Point in the Plane if its Coordinates are Given
Summary

Introduction
Linear Equations
Solution of a Linear Equation
Graph of a Linear Equation in Two Variables
Equations of Lines Parallel to the x-axis and y-axis
Summary

Introduction
Euclids Definitions, Axioms and Postulates
Equivalent Versions of Euclids Fifth Postulate
Summary

Introduction
Basic Terms and Definitions
Intersecting Lines and Non-intersecting Lines
Pairs of Angles
Axiom : If a Ray stands on a Line, then the Sum of two Adjacent Angles so formed is 180 Axiom: If the Sum of two Adjacent Angles is 180 degree Theorem : If Two Lines Intersect Each Other, then the Vertically Opposite Angles are Equal. Parallel Lines and a Transversal
Axiom : Each Pair of Corresponding Angle is Equal. Axiom : Pair of Corresponding Angle is Equal, then the Two Lines are Parallel to each other. Theorem : Pair of Alternate Interior Angles is Equal. Theorem : Pair of Interior Angles on the same Side of the Transversal is Supplementary. Angle Sum Property of a Triangle
Theorem:The Sum of the Angles of a Triangle is 180 degree Theorem :Exterior Angle so formed is equal to the Sum of the Two Interior Opposite Angles. Summary
Lines Parallel to the Same Line

Introduction
Congruence of Triangles
Criteria for Congruence of Triangles
Axiom(7.1) SAS congruence rule:Two Triangles are Congruent if Two Sides and the included Angle of one Triangle are equal to the sides and the included Angle of the other Triangle. Theorem(7.1)::ASA congruence rule : Two Triangles are Congruent if Two Angles and the included Side of one Triangle are Equal to Two Angles and the included Side of other Triangle. Some Properties of a Triangle
Theorem(7.2) : Angles Opposite to Equal Sides of an Isosceles Triangle are Equal. Some More Criteria for Congruence of Triangles.
Theorem (7.4) SSS Congruence rule : If Three Sides of One Triangle are equal to the Three Sides of another Triangle, then the Two Triangles are Congruent. Theorem( 7.5) RHS Congruence Rule : If in Two Right Triangles the Hypotenuse and One Side of one Triangle are equal to the Hypotenuse and One side of the other triangle, then the Two Triangles are Con Inequalities in a Triangle
Summary

Introduction
Angle Sum Property of a Quadrilateral
Types of Quadrilaterals
Properties of a Parallelogram
Theorem (8.1 ): A Diagonal of a Parallelogram Divides it into Two Congruent Triangles. Theorem( 8.2) : In a Parallelogram, Opposite Sides are Equal. Theorem( 8.4) : In a Parallelogram, Opposite Angles are Equal. Theorem( 8.6) : The Diagonals of a Parallelogram Bisect each other. Another Condition for a Quadrilateral to be a Parallelogram
Theorem (8.8) : A Quadrilateral is a Parallelogram if a Pair of Opposite Sides is Equal and Parallel The Mid-point Theorem
Theorem( 8.9) : The Line Segment joining the Mid-points of Two Sides of a Triangle is Parallel to the Third Side. Theorem( 8.10) : The Line drawn through the Mid-point of One Side of a Triangle,Parallel to another Side Bisects the Third Side. Summary

Introduction
Figures on the Same Base and Between the Same Parallels
Parallelograms on the Same Base and Between the same Parallels
Theorem( 9.1) : Parallelograms on the Same Base and between the Same Parallels are Equal in Area. Theorem( 9.2): Two Triangles on the Same Base and between the Same Parallels are Equal in Area. Triangles on the same Base and between the same Parallels
Summary

Introduction
Circles and Its Related Terms: A Review
Angle Subtended by a Chord at a Point
Theorem (10.1) : Equal Chords of a Circle Subtend Equal Angles at the Centre. Theorem (10.2) : If the Angles Subtended by the Chords of a Circle at the Centre are Equal, then the Chords are Equal. Perpendicular from the Centre to a Chord
Theorem( 10.3) : The Perpendicular from the Centre of a Circle to a Chord Bisects the Chord. Circle through Three Points
Theorem( 10.5) : There is One and only One Circle passing through Three given Non-Collinear Points. Equal Chords and Their Distances from the Centre
Theorem (10.6) : Equal Chords of a Circle (or of congruent circles) are Equidistant from the Centre (or centres). Angle Subtended by an Arc of a Circle
Theorem (10.8) : The Angle Subtended by an Arc at the Centre is Double the Angle Aubtended by it at any Point on the Remaining Part of the Circle Theorem (10.9 ) : Angles in the Same Segment of a Circle are Equal. Theorem (10.10 ): If a Line Segment joining Two Points Subtends Equal Angles at Two other Points lying on the Same Side of the Line containing the Line Segment, the Four points lie on a Circle (i.e. t Cyclic Quadrilaterals
Theorem (10.11) : The Sum of Either Pair of Opposite Angles of a Cyclic Quadrilateral is 180?. Theorem (10.12) : If the Sum of a Pair of Opposite Angles of a Quadrilateral is180?, the Quadrilateral is Cyclic. Summary

Introduction
Basic Constructions
Construction( 11.1 )To Construct the Bisector of a Given Angle. Construction (11.2) To Construct the Perpendicular Bisector of a Given Line Segment. Construction (11.3 )To Construct an Angle of 60 ?at the Initial Point of a Given Ray. Some Constructions of Triangles
Construction( 11.4 )To Construct a Triangle, given its Base, a Base Angle and Sum of other Two Sides. Construction (11.5) To Construct a Triangle given its Base, a Base Angle and the Difference of the other two Sides. Construction 11.6 : To construct a triangle, given its perimeter and its two base Angles Summary

Introduction
Area of a Triangle by Herons Formula
Application of Herons Formula in Finding Areas of Quadrilaterals
Summary

Introduction
Surface Area of a Cuboid and a Cube
Surface Area of a Right Circular Cylinder
Surface Area of a Right Circular Cone
Surface Area of a Sphere
Volume of a Cuboid
Volume of a Cylinder
Volume of a Right Circular Cone
Volume of a Sphere
Summary

Introduction
Collection of Data
Presentation of Data
Graphical Representation of Data
Measures of Central Tendency
Summary

Introduction
Probability ? an Experimental Approach
Summary

Introduction
Euclids Division Lemma
Theorem for Euclid’s Division Lemma The Fundamental Theorem of Arithmetic
Revisiting Irrational Numbers
Theorem Related to Revisiting Irrational Numbers Revisiting Rational Numbers and Their Decimal Expansions
Theorem Related to Revisiting Rational Numbers and Their Decimal Expansions Summary

Introduction
Geometrical Meaning of the Zeroes of a Polynomial
Relationship between Zeroes and Coefficients of a Polynomia
Division Algorithm for Polynomials
Summary

Introduction
Pair of Linear Equations in Two Variables
Graphical Method of Solution of a Pair of Linear Equations
Algebraic Methods of Solving a Pair of Linear Equations
Substitution Method Elimination Method Cross - Multiplication Method Equations Reducible to a Pair of Linear Equations in Two Variables
Summary

Introduction
Quadratic Equations
Solution of a Quadratic Equation by Factorisation
Solution of a Quadratic Equation by Completing the Square
Nature of Roots
Summary

Introduction
Arithmetic Progressions
nth Term of an AP
Sum of First n Terms of an AP
Summary

Introduction
Similar Figures
Similarity of Triangles
Basic Proportionality Theorem Criteria for Similarity of Triangles
Areas of Similar Triangles
Theorem - The ratio of the areas of two similar triangles Pythagoras Theorem
Pythagoras Theorem Proof for Pythagoras Theorem Converse of Pythagoras Theorem Summary

Introduction
Distance Formula
Section Formula
Area of a Triangle
Summary

Introduction
Trigonometric Ratios
Trigonometric Ratios of Some Specific Angles
Trigonometric Ratios of Complementary Angles
Trigonometric Identities
Summary

Introduction
Heights and Distances
Summary

Introduction
Tangent to a Circle
Number of Tangents from a Point on a Circle
Summary

Introduction
Division of a Line Segment
Construction of Tangents to a Circle
Construction 11.3 To construct the tangents to a circle from a point outside it. Summary

Introduction
Perimeter and Area of a Circle A Review
Areas of Sector and Segment of a Circle
Areas of Combinations of Plane Figures
Summary

Introduction
Surface Area of a Combination of Solids
Volume of a Combination of Solids
Conversion of Solid from One Shape to Another
Frustum of a Cone
Summary

Introduction
Mean of Grouped Data
Mode of Grouped Data
Median of Grouped Data
Graphical Representation of Cumulative Frequency Distribution
Summary

Introduction
Probability A Theoretical Approach
Summary

What is Physics?
Scope and Excitement in Physics
Physics Technology and Society
Fundanmental Forces in Nature
Nature of physical Laws
Summary

Introduction
The International System of Units
Measurement of Length
Measurement of Mass
Measurement of Time
Accuracy, Precision of Instruments and Errors in measurement
Significant Figures
Dimensions of Physical Quantities
Dimensional Formulae and Dimensional Equations
Dimensional Analysis and its Applications
Summary

Introduction
Positon, Path Length and Displacement
Average Speed and Instantaneous Speed
Velocity and its Types
Acceleration
Kinematic Equations for Uniformly Accelerated Motion
Relative Velocity
Summary

Introduction
Scalars and Vectors
Multiplication of Vectors by Real Numbers
Addition and Subtraction of Vectors- Graphical Method
Resolution of Vectors
Motion In a Plane- Position Vector and Displacement
Motion in a Plane with Constant Acceleration
Relative Velocity in Two Dimensions
Projectile Motion
Uniform Circular Motion
Summary

Introduction
Aristotles Fallacy
The Law of Inertia
Newtons First Law of Motion
Newtons Second Law of Motion
Newtons Third Law of Motion
Conservation of Momentum
Equilibrium of a Particle
Friction
Circular Motion
Solving Problems in Mechanics
Summary

Introduction
Notions of Work and Kinetic Energy: The Work- Energy Theorem
Work
Kinetic Energy
Work Done by a Variable Force
The Work Energy Theorem for a Variable Force
The Concept of Potential Energy
The Conservation of Mechanical Energy
The potential Energy of a Spring
Various Forms of Energy: The Law of Conservation of Energy
Heat Chemical Energy Electrical Energy Nuclear Energy The Principle of Conservation of Energy Power
Collisions
Summary

Introduction
Centre of Mass
Motion of Centre of Mass
Linear Mometum of a System of Particles
Vector Product of Two Vectors
Angular Velocity and its Relation with Linear Velocity
Angular acceleration Torque and Angular Momentum
Equilibrium of a Rigid Body
Centre of gravity Moment of Inertia
Theorems of perpendicular and Parallel Axes
Dynamics of Rotaional motion About a Fixed Axis
Angular Momentum in Case of a Rotation About a Fixed Axis
Rolling Motion
Summary

Introduction
Keplers Laws
Universal Law of Gravitation
The Gravitational Constant
Acceleration Due to Gravity Of Earth
Acceleration Due to Gravity Below and Above the Surface of Earth
Gravitational Potential Energy
Escape Speed
Earth satellites
Energy of an Orbiting Satellite
Geostationary and Polar Satellites
Weightlessness
Summary

Introduction
Elastic behaviour of Solids
Stress and Strain
Hooke's Law
Stress -Strain Curve
Elastic Moduli
Applications of Elastic Behaviour of Materials
Summary

Introduction
Pressure
Streamline Flow
Bernoullis Principle
Speed of Efflux: Torricelli?s Law Venturi-meter / Sprayer Dynamic Lift Viscosity
Stoke's Law Reynolds Number
Surface Tension
Drops and Bubbles Capillary Rise Detergents Summary

Introduction
Temperature and Heat
Measurement of Temperature
Ideal - Gas Equation and Absolute Temperature
Thermal Expansion
Specific Heat Capacity
Calorimetry
Change of State
Heat Transfer
Newtons Law of Cooling
Summary

Introduction
Thermal Equilibrium
First law of Thermodynamics
Specific Heat Capacity
Thermodynamic State Variables and Equation of State
Thermodynamic processes
Heat Engines
Refigerators and Heat Pumps
Second Law of Thermodynamics
Reversible and Irreversible Processes
Carnot Engine
Zeroth Law of Thermodynamics
Heat, Internal energy and Work
Summary

Introduction
Molecular Nature of Matter
Behaviour of Gases
Kinetic Theory of an ideal Gas
Pressure of an Ideal Gas Kinetic Interpretation of Temperature Law of Equipartition of Energy
Specific Heat Capacity of gases, solids and water
Mean free Path
Summary

Periodic and Oscillatory Motions
Introduction
Simple Harmonic Motion
Simple Harmonic Motion and uniform Circular Motion
Velocity and Acceleration in Simple Harmonic Motion
Force Law for Simple Harmonic Motion
Energy in Simple Harmonic Motion
Some Systems Executing Simple Harmonic Motion
Oscillations due to a Spring The Simple Pendulum Damped Simple Harmonic motion
Forced Oscillations and Resonance
Summary

Introduction
Transverse and Longitudinal Waves
Displacement Relation In a Progressive Wave
The Speed of a Travelling Wave
The Principle of Superposition of Waves
Reflection of Waves
Standing Waves and Normal Modes Beats
Doppler Effect
Summary

Introduction
Electric Charge
Conductors and Insulators
Charging by Induction
Basic Properties of Electric Charge
Coulombs Law
Forces between Multiple Charges
Electric Field
Electric Field Lines
Electric Flux
Electric Dipole
Dipole in a Uniform External Field
Continuous Charge Distribution
Gauss's Law
Applications of Gauss's Law
Summary

Introduction
Electrostatic Potential
Potential Due to a Point Charge
Potential Due to an Electric Dipole
Potential Due to a System of Charges
Equipotential Surfaces
Potential Energy of a System of Charges
Potential Energy in an External Field
Electrostatics of Conductors
Dielectrics and Polarisation
Capacitors and Capacitance
The Parallel Plate Capacitor
Effect of Dielectric on Capacitance
Combination of Capacitors
Capacitors in series Capacitors in parallel Energy Stored in a Capacitor
Van De Graaff Generator
Summary

Introduction
Electric Current
Electric Currents in Conductors
Ohm s Law
Drift of Electrons and the origin of Resistivity
Limitations of Ohm s Law
Resistivity of Various Materials
Temperature Dependence of Resistivity
Electrical Energy, Power
Combination of Resistors- Series and Parallel
Cells, EMF, Internal Resistance
Cells in Series and in Parallel
Kirchhoff s Law
Wheatstone Bridge
Meter Bridge
Potentiometer
Summary

Introduction
MagneticForce
Magnetic Field, Lorentz Force Magnetic force on a current-carrying conductor Motion in a Magnetic Field
Motion in combined electric and magnetic field-Velocity selector
Magnetic Field due to a Current Element Biot-Savart Law
Magnetic Field on the Axis of a Circular Current Loop
Ampere s Circuital Law
The Solenoid and The Toroid
The solenoid The toroid Force between two parallel currents, the Ampere
Torque on Current Loop, Magnetic Dipole
Torque on a rectangular current loop in a uniform magnetic field Circular current loop as a magnetic dipole The magnetic dipole moment of a revolving electron The Moving Coil Galvanometer
Summary

Introduction
The Bar Magnet
The magnetic field lines Bar magnet as an equivalent solenoid The dipole in a uniform magnetic field Magnetism and Guass s Law
The Earth s Magnetism
Magnetisation and Magnetic Intensity
Magnetic Properties of Materials
Permanent magnets and Electromagnets
Summary

Introduction
The experiments of Faraday and Henry
Magnetic Flux
Faraday s Law of Induction
Lenz s Law and Conservation of Energy
Motional Electromotive Force
Energy Consideration: A Quantitative Study
Eddy Currents
Inductance
Mutual Inductance Self Inductance AC Generator
Summary

Introduction
AC Voltage applied to a Resistor
Representation of AC Current and Voltage by Rotating Vectors- Phasors
AC Voltage applied to an Inductor
AC Voltage applied to a Capacitor
AC Voltage applied to a Series LCR Circuit
Phasor-diagram solution Resonance Power in AC Circuit: The Power Factor
LC Oscillations
Transformers
Summary

Introduction
Displacement Current
Electromagnetic Waves
Sources of Electromagnetic Waves Nature of Electromagnetic Waves Electromagnetic Spectrum
Radio waves Microwaves Infrared waves Visible rays Ultraviolet rays X-rays Gamma rays Summary

Introduction
Reflection of Light by Spherical Mirrors
Sign convention Focal length of spherical mirrors The Mirror Equation Refraction
Total Internal Reflection
Refraction at Spherical Surfaces and by Lenses
Refraction by a lens Power of a lens Combination of thin lenses in contact Refraction through a Prism
Dispersion by a Prism
Some Natural Phenomena due to Sunlight
The Rainbow Scattering of light Optical Instruments
The Eye The Microscope Telescope Summary

Introduction
Huygens Principle
Refraction and Reflection of Plane Waves using Huygens Principle
Reflection of a Plane Wave by a Plane Surface The Doppler Effect Coherent and incoherent Addition of Waves
Interference of Light Waves and Young s Experiment
Diffraction
The single slit Resolving Power of Pptical Instruments Summary
Polarisation
Polarisation by Scattering
Polarisation by Reflection

Introduction
Electron Emission
Phototelectric Effect
Hallwachs' and Lenard's observations Experimental Study of Photoelectric Effect
Effect of potential on photoelectric current Effect of frequency of incident radiation on stopping potential Photoelectric Effect and Wave Theory of Light
Einstein's Photoelctric Equation: Energy Quantum of Radiation
Particle Nature of Light: The photon
Wave Nature of Matter
Davisson and Germer Experiment
Summary

Introduction
Alpha-Particle Scattering and Rutherford s Nuclear Model of Atom
Alpha-particle trajectory Electron orbits Atomic Spectra
Bohr Model of the Hydrogen Atom
Energy levels The Line Spectra of Hydrogen Atom
De Broglie s Explanation of Bohr s Second Postulate of Quantisation
Summary

Introduction
Atomic Massesand Composition of Nucleus
Size of the Nucleus
Mass - Energy Nuclear Binding Energy Nuclear Force
Radioactivity
Alpha decay Beta decay Gamma decay Nuclear Energy
Nuclear Reactor Nuclear fusion Energy Generation in Stars Summary

Introduction
Classification of Metals, Conductors and Semiconductors
Intrinsic Semiconductor
Extrinsic Semiconductor
p-n Junction
Semiconductor Diode
p-n junction diode under forward bias p-n junction diode under reverse bias Application of Junction Diode as a Rectifier
Special Purpose of p-n Junction Diodes
Zener diode Optoelectronic junction devices Junction Transistor
Basic transistor circuit configurations and transistor characteristics Transistor as an Amplifier (CE-Configuration) Feedback amplifier and transistor oscillator Digital Electronics and Logic Gates
Integrated Circuits
Summary

Introduction
Elements of a Communication System
Basic Terminology used in Electronic Communication Systems
Bandwidth of Signals
Bandwidth of Transmission Medium
Propagation of Electromagnetic Waves
Modulation and its Necessity
Amplitude Modulation
Production of Amplitude Modulated Wave
Detection of Amplitude Modulated Wave
Summary