Mathmatics

Unit-I

Chapter 1: Sets

  • 1.Sets and their Representations,Types of Sets
  • 2. Venn Diagrams and Operations on Sets
  • 3. Practical Problems on Union and Intersection(Applications of Sets)

Chapter 2: Relations and Functions

  • 1. Cartesian Products of Sets
  • 2. Relations and Types of Relations
  • 3. Functions and Types of Functions
  • 4. Some Special functions,Domain,Range and their graphs
  • 5. Algebra of real functions

Chapter 3: Trigonometric Functions

  • 1. Angles,Measurement of Angles(Degree,Radian,Gradian) and Notational Convention
  • 2. Trigonometric Functions ,Sign,Domain ,Range and their graphs
  • 3. Trigonometric Functions of Sum and Difference of Two Angles
  • 4. Trigonometric Equations

Unit-ll

Chapter 4: Principle of Mathematical Induction

  • 1. Motivation and Process of proof by induction
  • 2. Principles of Mathematical induction and simple applications

Chapter 5: Complex Numbers and Quadratic Equations

  • 1. Imaginary Numbers and Powers
  • 2. Complex Numbers and Algebra of Complex Numbers
  • 3. The Modulus and the Conjugate of a Complex Numbers
  • 4. Solving Quadratic equations in complex numbers
  • 5. Square Root and Cube Root Of Complex Numbers

Chapter 6: Linear Inequalities

  • 1. Inequalities and Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation
  • 2. Graphical methods and Solution of Linear Inequalities in Two Variables

Chapter 7: Permutation and Combinations

  • 1. Fundamental Principle of Counting
  • 2. Permutations and Factorial notation
  • 3. Combinations and Simple applications

Chapter 8: Binomial Theorem

  • 1. Binomial Theorem for Positive Integral Indices
  • 2. Pascal’s triangle
  • 3. General and Middle Terms

Chapter 9: Sequence and Series

  • 1. Sequences and Series
  • 2. Arithmetic Progression (AP) and Arithmetic Mean (AM)
  • 3. Geometric Progression (GP) and Geometric Mean (GM)
  • 4. Sum to n Terms of Special Series
  • 5. Infinite GM and its sum

Unit-III

Chapter 10: Straight Lines

  • 1. The slope of line and angles between two lines
  • 2. Conditions for parallelism and perpendicularity of lines and Collinearity of three points
  • 3. Various Forms of the Equation of a Line
  • 4. General Equation of a Line
  • 5. Distance of a Point From a Line and Distance between two parallel lines

Chapter 11: Conic Sections

  • 1. Sections of a cone: parabola, hyperbola, ellipse
  • 2. Standard equations, Properties and Application of a circle
  • 3. Standard equations, Properties and Application of a parabola
  • 4. Standard equations, Properties and Application of a ellipse
  • 5. Standard equations, Properties and Application of a hyperbola

Chapter 12: Introduction to Three-dimensional Geometry

  • 1. Coordinate axes and planes in 3D
  • 2. Distance between 2 points, section formula
  • 3. Coordinates of a points

Unit-IV

Chapter 13: Limits and Derivatives

  • 1. Intuitive idea of limits and Derivatives
  • 2. Limits ,Types Of limits ,Existence of limits and Algebra of limits
  • 3. Limits of polynomial, rational, trigonometric, exponential and logarithmic functions
  • 4. Derivatives ,Existence of Derivative and Algebra of Derivatives
  • 5. The derivative of the sum, difference, quotient, and product of functions
  • 6. Derivatives of polynomial and trigonometric functions

Unit-V

Chapter 14: Mathematical Reasoning

  • 1. Statements and Connecting words
  • 2. Understanding of conditions such as “if-then”, “only if” and “if and only if ”, “and/or”, “implies” , “implies by” and Quantifiers and their uses
  • 3. Validating the statements involving the connecting words and statements
  • 4. Difference between contradiction, contrapositive, and converse

Unit-VI: Statistics and Probability

Chapter 15: Statistics

  • 1. Statistics :Measures of Dispersion
  • 2. Mean deviation, range, variance and standard deviation of grouped and ungrouped data
  • 3. Discrete and Continuous distributions
  • 4. Frequency distributions analysis
  • 5. Shortcut method to find variance and standard deviation

Chapter 16: Probability

  • 1. Probability and Random experiments
  • 2. Sample spaces,events and types of events,Algebra of events
  • 3. Axiomatic Approach to probability
  • 4. Probability of an event
  • 5. Probability of “not”, “and” and “or” events

English

HORNBILL

READING SKILLS

  • 1. The Portrait of a Lady
  • 2.We're Not Afraid to Die... If We can call be Together
  • 3.Discovering Tut : the saga Continues
  • 4.Landscape of the soul
  • 5.The Ailing Planet :the Green Movement's Role
  • 6.The Browning Version
  • 7.Th Adventure
  • 8.Silk Road

POEM

  • 1.A Photograph
  • 2.The Laburnum
  • 3.The voice of the Rain
  • 4.Childhood
  • 5.Father to Son

SNAPSHOTS

Chapter 1: The Summer of The Beautiful Horse

  • Story Explanation

Chapter 2: The Address

  • Story Explanation

Chapter 3: Ranga's Marriage

  • Ranga's Marriage explanation

Chapter 4: Albert Einstein at School

  • Albert Einstein at School

Chapter 5: Mother's Day

  • Mother's Day

Chapter 6: The Ghat of the Only World

  • The Ghat of the Only World

Chapter 7: Birth

  • Birth

Chapter 8: The Tale of Melon City

  • The Tale of Melon City poem explanation

Hindi

Accountancy

Unit 1: Theoretical Framework

Chapter 1: Introduction to Accounting

  • Accounting: objectives, advantages and limitations, types of accounting information; users of accounting information and their needs.
  • Basic accounting terms: business transaction, account, capital, drawings, liability (Non - current and current); asset (Non - current; tangible and intangible assets and current assets), receipts (capital and revenue), expenditure (capital, revenue and de

Theory Base of Accounting

  • Fundamental accounting assumptions: going concern, consistency and accrual.
  • Accounting principles: accounting entity, money measurement, accounting period, full disclosure, materiality, prudence, cost concept, matching concept and dual aspect.
  • Accounting Standards and IFRS (International Financial Reporting Standards): concept and objectives
  • Double entry system of accounting.
  • Bases of accounting - cash basis and accrual basis.

Unit 2: Accounting Process

Chapter 3: Recording of Transactions

  • Accounting equation: analysis of transactions using accounting equation.
  • Rules of debit and credit: for assets, liabilities, capital, revenue and expenses
  • Origin of transactions- source documents (invoice, cash memo, pay in slip, cheque), preparation of vouchers - cash (debit and credit) and non cash (transfer).
  • Books of original entry: format and recording - Journal.
  • Cash Book: Simple Cash Book, Cash Book with Discount Column and Cash Book with Bank and Discount Columns, Petty Cash Book.
  • Other books: purchases book, sales book, purchases returns book, sales returns book and journal proper.

Preparation of Bank Reconciliation Statement, Ledger and Trial Balance.

  • Bank reconciliation statement- calculating bank balance at accounting date: need and preparation. Corrected cash book balance.
  • Ledger - format, posting from journal, cash book and other special purpose books, balancing of accounts.
  • Trial balance: objectives and preparation

Depreciation, Provisions and Reserves

  • Depreciation: concept need and factors affecting depreciation; methods of computation of depreciation: straight line method, written down value method (excluding change in method)
  • Accounting treatment of depreciation: by charging to asset account, by creating provision for depreciation/ accumulated depreciation account, treatment of disposal of asset.
  • Provisions and reserves: concept, objectives and difference between provisions and reserves; types of reserves- revenue reserve, capital reserve, general reserve and specific reserves.

Accounting for Bills of Exchange

  • Bills of exchange and promissory note: definition, features, parties, specimen and distinction.
  • Important terms : term of bill, due date, days of grace, date of maturity, discounting of bill, endorsement of bill, bill sent for collection, dishonour of bill, noting of bill, retirement and renewal of a bill.
  • Accounting treatment of bill transactions.

Rectification of Errors

  • Errors: types-errors of omission, commission, principles, and compensating; their effect on Trial Balance.
  • Detection and rectification of errors; preparation of suspense account.

Unit 3: Financial Statements of Sole Proprietorship

Chapter 3: Financial Statements of Sole Proprietorship

  • Financial Statements: objective and importance.
  • Trading and profit and loss account: gross profit, operating profit and net profit.
  • Balance Sheet: need, grouping, marshalling of assets and liabilities.
  • Adjustments in preparation of financial statements : with respect to closing stock, outstanding expenses, prepaid expenses, accrued income, income received in advance, depreciation, bad debts, provision for doubtful debts, provision for discount on debtor
  • Preparation of Trading and Profit and Loss Account and Balance Sheet of sole proprietorship.
  • Incomplete records: use and limitations.
  • Ascertainment of profit/loss by statement of affairs method.

Unit 4: Financial Statements of Not-for-Profit Organizations

Chapter 4: Financial Statements of Not-for-Profit Organizations

  • Not-for-profit organizations: concept.
  • Receipts and Payment account: features.
  • Income and Expenditure account: features. Preparation of Income and Expenditure account and Balance Sheet from the given Receipts and Payments account with additional information.

Unit 5: Computers in Accounting

Chapter 5: Computers in Accounting

  • Introduction to Computer and Accounting Information System {AIS}: Introduction to computers (Elements, Capabilities, Limitations of Computer system),
  • Introduction to operating software, utility software and application software. Introduction to Accounting Information System (AIS), as a part of MIS
  • Automation of Accounting Process. Meaning
  • Stages in automation

Business Studies

Unit 1: Foundation of Business

Chapter 1: Business, Trade and Commerce

  • Introduction
  • Role of Business in the Development of Economy
  • Concept of Business
  • Characteristics of Business Activities
  • Comparison of Business, Profession and Employment
  • Classification of Business Activities
  • Classification of Industry - types: primary, secondary, tertiary
  • Commerce-trade and auxiliaries to trade
  • Objectives of Business
  • Business risk
  • Starting a Business

Chapter 2: Forms of Business organizations

  • Introduction
  • Sole Proprietorship-1st form of Business Organisation
  • Partnership-2nd form of Business Organisation
  • Hindu Undivided Family Business
  • Cooperative Societies-4th Form of Business Organisation
  • Company-5th Form of Business Organisation
  • Formation of company

Chapter 3: Public, Private and Global Enterprises

  • Introduction
  • Private Sector and Public Sector
  • Forms of Organising Public Sector Enterprises
  • Departmental Undertakings
  • Statutory Corporations
  • Government Company
  • Changing role of public sector.
  • Global Enterprises
  • Joint Ventures
  • Public Private Partnership (PPP)

Chapter 4: Business Services

  • Introduction
  • Nature of Services
  • Difference between Services and Goods
  • Types of Services
  • Business Services
  • Banking
  • Insurance
  • Communication Services
  • Transportation and Warehousing

Chapter 5: Emerging Modes of Business

  • Introduction
  • E-Business
  • Online Transactions
  • E-business Implementation
  • Outsourcing

Chapter 6: Social Responsibility of Business and Business Ethics

  • Introduction
  • Need for Social Responsibility
  • Kinds of Social Responsibility
  • Social Responsibility Towards Different Interest Groups
  • Business and Environmental Protection
  • Business Ethics

Unit 2: Finance and Trade

Chapter 7:Formation of a Company

  • Introduction
  • Formation of a Company
  • Promotion
  • Incorporation
  • Capital Subscription

Chapter 8: Sources of Business Finance

  • Introduction
  • Classification of Sources of Funds
  • Retained Earnings
  • Trade Credit
  • Factoring
  • Lease Financing
  • Public Deposits
  • Commercial Paper
  • Issue of Shares
  • Debentures
  • Commercial Banks
  • Financial Institutions
  • International Financing
  • Factors Affecting the Choice of the Source of Funds

Chapter 9: Small Business & Entrepreneurship

  • Introduction
  • Role of Small Business in Rural India
  • Problems of Small Business
  • Government assistance to small business units
  • Incentives to Small Business
  • MSME and Entrepreneurship Development
  • Intellectual Property Rights (IPR)

Chapter 10: Internal Trade

  • Introduction
  • Internal Trade
  • Wholesale Trade
  • Retail Trade
  • Types of Retailing Trade
  • Deparatmental stores
  • Chain stores/multiple shops
  • Mail order houses
  • Consumer cooperative store
  • Super Market
  • Vending machines
  • Goods & services tax
  • Role of commerce & Industry associations in promotion of internal trade

Chapter 11: International Business

  • Introduction
  • Meaning and Reason of International Business
  • International Business vs. Domestic Business
  • Scope of International Business
  • Benefits of International Business
  • Modes of Entry into International Business
  • Export-Import Procedures and Documentation
  • Foreign Trade Promotion: Incentives and Organisational Support
  • International Trade Institutions and Trade Agreements

Economics

Statistics for Economics

Introduction

  • SCHOLAR'S DEFINITIONS
  • ECONOMIC PROBLEMS

SCOPE & IMPORTANCE OF STATISTICS

  • STATISTICS

COLLECTION OF DATA

  • STATISTICAL ENQUIRY & RELATED CONCEPTS
  • SOURCES OF DATA
  • TYPES OF DATA
  • METHODS OF COLLECTING PRIMARY DATA - SUITABILITY, MERITS & DEMERITS
  • CONSTRUCTION OF QUESTIONAIRE
  • CENSUS
  • SAMPLING
  • TYPES OF SAMPLING
  • PRINCIPLES OF SAMPLING
  • STATISTICAL ERRORS
  • SOURCES OF SECONDARY DATA & PRECAUTIONS
  • CENSUS OF INDIA
  • NSSO

ORGANISATION OF DATA

  • CLASSIFICATION
  • METHODS OF CLASSIFICATION
  • VARIABLES
  • FREQUENCY
  • STATISTICAL SERIES
  • INDIVIDUAL SERIES - ORGANISED & UNORGANISED
  • DISCRETE SERIES & TALLY MARKS
  • CONTINUOUS SERIES
  • BIVARIATE FREQUENCY DISTRIBUTION

TABULAR PRESENTATION

  • TABULATION
  • TYPES OF TABLES
  • TABULATION

DIAGRAMATIC PRESENTATION

  • DIAGRAMATIC PRESENTATION
  • TYPES OF DIAGRAMS
  • PIE DIAGRAM
  • DIAGRAMS

GRAPHIC PRESENTATION

  • GRAPHIC PRESENTATION
  • CONSTRUCTION OF GRAPHS
  • TYPES OF GRAPHS
  • GRAPHS

MEASURES OF CENTRAL TENDENCY -MEAN

  • MEASURES OF CENTRAL TENDENCY
  • TYPES OF AVERAGES
  • CHARLIER'S ACCURACY CHECK
  • CALCULATION OF MISSING VALUE
  • ARITHMETIC MEAN
  • COMBINED MEAN
  • CORRECTED MEAN
  • WEIGHTED MEAN

MEASURES OF CENTRAL TENDENCY - MODE & MEDIAN

  • MEDIAN
  • MEAN v/s MEDIAN
  • QUARTILES
  • MODE
  • COMPUTATION OF MODE
  • MEAN, MODE & MEDIAN

MEASURES OF DISPERSION

  • DISPERSION
  • ABSOLUTE v/s RELATIVE DISPERSION
  • GOOD MEASURE OF DISPERSION
  • MEASURES OF DISPERSION
  • RANGE
  • QUARTILE DEVIATION
  • MEAN DEVIATION
  • STANDARD DEVIATION
  • VARIANCE
  • CHOICE OF SUITABL;E MEASURE OF DISPERSION
  • LORENZ CURVE

MEASURES OF CORRELATION

  • CORRELATION
  • TYPES OF CORRELATION
  • DEGREES OF CORRELATION
  • INTERPRETATION OF CORRELATED COEFFICIENT
  • METHODS OF MEASUREMENT OF CORRELATION
  • COMPARISION BETWEEN KARL PEARSON'S METHOD & SPEARMAN'S METHOD

INDEX NUMBERS

  • INDEX NUMBERS
  • TYPES OF INDEX NUMBERS
  • METHODS OF CONSTRUCTING PRICE INDEX NUMBERS
  • INDEX NUMBERS
  • CONSUMER PRICE INDEX
  • METHODS OF CONSTRUCTING CPI
  • REAL WAGES
  • INDEX OF INDUSTRIAL PRODUCTION
  • WPI

Microeconomics

INTRODUCTION

  • ECONOMY
  • PRODUCTION POSSIBILITY CURVE
  • MICROECONOMICS VS MACROECONOMICS

CONSUMER'S EQUILIBRIUM

  • UTILITY CONCEPTS
  • DIMINISHING MARGINAL UTILITY
  • CONDUMER'S EQUILIBRIUM

DEMAND

  • DEMAND
  • LAW OF DEMAND
  • DETERMINANTS OF DEMAND
  • DEMAND CURVE
  • ELASTICITY
  • SLOPE OF DEMAND CURVE & ELASTICITY

SUPPLY

  • Supply
  • LAW OF SUPPLY
  • SUPPLY CURVE
  • INDIVIDUAL SUPPLY & MARKET SUPPLY
  • DETERMINANTS OF SUPPLY
  • SUPPLY FUNCTION
  • CHANGE IN SUPPLY v/s CHANGE IN QUANTITY SUPPLIED
  • REASONS FOR LEFTWARD AND RIGHTWARD & LEFTWARD SHIFT IN SUPPLY CURVE
  • ELASTICITY

PRODUCTION FUNCTION

  • TPP, APP, MPP
  • LAW OF VARIABLE PROPORTION

COST

  • TC, TVC, TFC, AC, AFC, AVC, MC
  • TYPES OF COST
  • RELATIONSHIPS BETWEEN COSTS

REVENUE

  • TR, MR & AR
  • RELATIONSHIPS BETWEEN TR, AR & MR

PRODUCER'S EQUILIBRIUM

  • PRODUCER'S EQUILIBRIUM
  • MR = MC APROACH

FORMS OF MARKET

  • MARKET
  • TYPES OF MARKET
  • PERFECT COMPETITION
  • MONOPOLY
  • MONOPOLISTIC COMPETITION
  • OLIGOPOLY
  • COMPARISION BETWEEN DIFFERENT MARKET FORMS

PRICE DETERMINATION

  • MARKET EQUILIBRIUM
  • EFFECTS OF CHANGES IN MARKET FORCES ON MARKET AND EQUILIBRIUM PRICES
  • APPLICATIONS OF TOOLS OF DEMAND & SUPPLY

Physics

Unit I: Physical World and Measurement

Chapter - 1: Physical World

  • Physics - scope and excitement
  • nature of physical laws
  • Physics, technology and society.

Chapter - 2: Units and Measurements

  • Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments; errors in measurement; significant figures.
  • Dimensions of physical quantities, dimensional analysis and its applications.

Unit II: Kinematics

Chapter - 3: Motion in a Straight Line

  • Frame of reference, Motion in a straight line: Position-time graph, speed and velocity.
  • Elementary concepts of differentiation and integration for describing motion.
  • Uniform and non-uniform motion, average speed and instantaneous velocity.
  • Uniformly accelerated motion, velocity time and position-time graphs.
  • Relations for uniformly accelerated motion (graphical treatment).

Chapter - 4: Motion in a Plane

  • Scalar and vector quantities; Position and displacement vectors, general vectors and their notations; equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors.
  • Relative velocity.
  • Unit vector; Resolution of a vector in a plane - rectangular components.
  • Scalar and Vector product of vectors.
  • Motion in a plane, cases of uniform velocity and uniform acceleration-projectile motion.
  • Uniform circular motion.

Unit III: Laws of Motion

Chapter - 5: Laws of Motion

  • Intuitive concept of force. Inertia, Newton's first law of motion; momentum and Newton's second law of motion; impulse; Newton's third law of motion.
  • Law of conservation of linear momentum and its applications.
  • Equilibrium of concurrent forces. Static and kinetic friction, laws of friction, rolling friction, lubrication.
  • Dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on a level circular road, vehicle on banked road).

Unit IV: Work, Energy and Power

Chapter - 6: Work, Engery and Power

  • Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power.
  • Notion of potential energy, potential energy of a spring, conservative forces: conservation of mechanical energy (kinetic and potential energies);
  • non-conservative forces: motion in a vertical circle;
  • elastic and inelastic collisions in one and two dimensions.

Unit V: Motion of System of Particles and Rigid Body

Chapter - 7: System of Particles and Rotational Motion

  • Centre of mass of a two-particle system, momentum conservation and centre of mass motion.
  • Centre of mass of a rigid body; centre of mass of a uniform rod.
  • Moment of a force, torque, angular momentum, laws of conservation of angular momentum and its applications.
  • Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions.
  • Moment of inertia, radius of gyration.Values of moments of inertia, for simple geometrical objects (no derivation). Statement of parallel and perpendicular axes theorems and their applications.

Unit VI: Gravitation

Chapter - 8: Gravitation

  • Keplar's laws of planetary motion.The universal law of gravitation.
  • Acceleration due to gravity and its variation with altitude and depth.
  • Gravitational potential energy and gravitational potential.
  • Escape velocity. Orbital velocity of a satellite. Geo-stationary satellites.

Unit VII: Properties of Bulk Matter

Chapter - 9: Mechanical Properties of Solids

  • Elastic behaviour, Stress-strain relationship, Hooke's law, Young's modulus, bulk modulus, shear modulus of rigidity, Poisson's ratio; elastic energy.

Chapter - 10: Mechanical Properties of Fluids

  • Pressure due to a fluid column; Pascal's law and its applications (hydraulic lift and hydraulic brakes). Effect of gravity on fluid pressure.
  • Viscosity, Stokes' law, terminal velocity, streamline and turbulent flow, critical velocity.
  • Bernoulli's theorem and its applications.
  • Surface energy and surface tension, angle of contact, excess of pressure across a curved surface, application of surface tension ideas to drops, bubbles and capillary rise.

Chapter - 11: Thermal Properties of Matter

  • Heat, temperature, thermal expansion; thermal expansion of solids, liquids and gases, anomalous expansion of water; specific heat capacity; Cp, Cv - calorimetry; change of state - latent heat capacity.
  • Heat transfer-conduction, convection and radiation, thermal conductivity, Qualitative ideas of Blackbody radiation, Wein's displacement Law, Stefan's law, Green house effect.

Unit VIII: Thermodynamics

Chapter - 12: Thermodynamics

  • Thermal equilibrium and definition of temperature (zeroth law of thermodynamics).
  • Heat, work and internal energy.
  • First law of thermodynamics. Isothermal and adiabatic processes.
  • Second law of thermodynamics: reversible and irreversible processes.
  • Heat engine and refrigerator.

Unit IX: Behaviour of Perfect Gases and Kinetic Theory of Gases

Chapter - 13: Kinetic Theory

  • Equation of state of a perfect gas, work done in compressing a gas.
  • Kinetic theory of gases - assumptions, concept of pressure.
  • Kinetic interpretation of temperature; rms speed of gas molecules; degrees of freedom, law of equi-partition of energy (statement only) and application to specific heat capacities of gases; concept of mean free path, Avogadro's number.

Unit X: Oscillations and Waves

Chapter - 14: Oscillations

  • Periodic motion - time period, frequency, displacement as a function of time. Periodic functions.
  • Simple harmonic motion (S.H.M) and its equation; phase; oscillations of a spring-restoring force and force constant; energy in S.H.M.
  • inetic and potential energies; simple pendulum derivation of expression for its time period.
  • Free, forced and damped oscillations (qualitative ideas only), resonance.

Chapter - 15: Waves

  • Wave motion.
  • Transverse and longitudinal waves, speed of wave motion.
  • Displacement relation for a progressive wave.
  • Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect.

Chemistry

Unit I: Some Basic Concepts of Chemistry

Chapter 1: Some Basic Concepts of Chemistry

  • General Introduction: Importance and scope of chemistry.
  • Nature of matter, laws of chemical combination, Dalton's atomic theory: concept of elements, atoms and molecules.
  • Atomic and molecular masses, mole concept and molar mass, percentage composition, empirical and molecular formula, chemical reactions, stoichiometry and calculations based on stoichiometry.

Unit II: Structure of Atom

Chapter 2: Structure of Atom

  • Discovery of Electron, Proton and Neutron, atomic number, isotopes and isobars.
  • Thomson's model and its limitations.
  • Rutherford's model and its limitations
  • Bohr's model and its limitations
  • concept of shells and subshells
  • dual nature of matter and light
  • de Broglie's relationship
  • Heisenberg uncertainty principle
  • concept of orbitals
  • quantum numbers
  • shapes of s, p and d orbitals
  • rules for filling electrons in orbitals - Aufbau principle, Pauli's exclusion principle and Hund's rule
  • electronic configuration of atoms, stability of half filled and completely filled orbitals.

Unit III: Classification of Elements and Periodicity in Properties

Chapter 3: Classification of Elements and Periodicity in Properties

  • Significance of classification, brief history of the development of periodic table
  • modern periodic law and the present form of periodic table
  • periodic trends in properties of elements -atomic radii, ionic radii, inert gas radii Ionization enthalpy, electron gain enthalpy, electronegativity, valency.
  • Nomenclature of elements with atomic number greater than 100.

Unit IV: Chemical Bonding and Molecular Structure

Chapter 4: Chemical Bonding and Molecular Structure

  • Valence electrons, ionic bond, covalent bond
  • bond parameters, Lewis structure, polar character of covalent bond, covalent character of ionic bond, valence bond theory
  • resonance, geometry of covalent molecules
  • VSEPR theory, concept of hybridization
  • involving s,p and d orbitals and shapes of some simple molecules
  • molecular orbital theory of homonuclear diatomic molecules (qualitative idea only), hydrogen bond.

Unit V: States of Matter: Gases and Liquids

Chapter 5: States of Matter: Gases and Liquids

  • Three states of matter, intermolecular interactions, types of bonding
  • melting and boiling points, role of gas laws in elucidating the concept of the molecule
  • Boyle's law, Charles law, Gay Lussac's law, Avogadro's law
  • ideal behaviour, empirical derivation of gas equation, Avogadro's number, ideal gas equation.
  • Deviation from ideal behaviour, liquefaction of gases, critical temperature, kinetic energy and molecular speeds (elementary idea)Liquid State- vapour pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations)

Unit VI: Chemical Thermodynamics

Chapter 6: Chemical Thermodynamics

  • Concepts of System and types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions.
  • First law of thermodynamics -internal energy and enthalpy, heat capacity and specific heat, measurement of ΔU and ΔH, Hess's law of constant heat summation, enthalpy of bond dissociation, combustion, formation, atomization, sublimation, phase transition,
  • Second law of Thermodynamics (brief introduction)
  • Introduction of entropy as a state function, Gibb's energy change for spontaneous and non-spontaneous processes, criteria for equilibrium.
  • Third law of thermodynamics (brief introduction).

Unit VII: Equilibrium

Chapter 7: Equilibrium

  • Equilibrium in physical and chemical processes, dynamic nature of equilibrium
  • law of mass action, equilibrium constant, factors affecting equilibrium - Le Chatelier's principle, ionic equilibrium-ionization of acids and bases, strong and weak electrolytes
  • degree of ionization, ionization of poly basic acids, acid strength, concept of pH
  • Henderson Equation, hydrolysis of salts (elementary idea), buffer solution, solubility product, common ion effect (with illustrative examples).

Unit VIII: Redox Reaction

Chapter 8: Redox Reaction

  • Concept of oxidation and reduction
  • redox reactions
  • oxidation number
  • balancing redox reactions, in terms of loss and gain of electrons and change in oxidation number
  • applications of redox reactions.

Unit IX: Hydrogen

Chapter 9: Hydrogen

  • Position of hydrogen in periodic table, occurrence
  • isotopes, preparation, properties and uses of hydrogen
  • hydrides-ionic covalent and interstitial
  • physical and chemical properties of water, heavy water
  • hydrogen peroxide -preparation, reactions and structure and use
  • hydrogen as a fuel

Unit X: s -Block Elements (Alkali and Alkaline Earth Metals)

Chapter 10: Group 1 and Group 2 Elements

  • General introduction, electronic configuration, occurrence, anomalous properties of the first element of each group
  • diagonal relationship, trends in the variation of properties (such as ionization enthalpy, atomic and ionic radii)
  • trends in chemical reactivity with oxygen, water, hydrogen and halogens, uses.

Chapter 11: Preparation and Properties of Some Important Compounds

  • Sodium Carbonate, Sodium Chloride, Sodium Hydroxide and Sodium Hydrogencarbonate
  • Biological importance of Sodium and Potassium.
  • Calcium Oxide and Calcium Carbonate and their industrial uses
  • biological importance of Magnesium and Calcium.
  • biological importance of Magnesium and Calcium.

Unit XI: Some p -Block Elements

Chapter 12: Group 13 Elements

  • General introduction, electronic configuration, occurrence
  • variation of properties, oxidation states, trends in chemical reactivity
  • anomalous properties of first element of the group
  • Boron - physical and chemical properties
  • some important compounds, Borax, Boric acid, Boron Hydrides, Aluminium: Reactions with acids and alkalies, uses.

Chapter 13: Group 14 Elements

  • General introduction, electronic configuration, occurrence
  • variation of properties, oxidation states, trends in chemical reactivity
  • anomalous behaviour of first elements
  • Carbon-catenation, allotropic forms, physical and chemical properties; uses of some important compounds: oxides.
  • Important compounds of Silicon and a few uses: Silicon Tetrachloride, Silicones, Silicates and Zeolites, their uses.

Unit XII: Organic Chemistry - Some Basic Principles and Technique

Chapter 14: Organic Chemistry - Some Basic Principles and Technique

  • General introduction
  • methods of purification, qualitative and quantitative analysis, classification and IUPAC nomenclature of organic compounds.
  • Electronic displacements in a covalent bond: inductive effect, electromeric effect, resonance and hyper conjugation.
  • Homolytic and heterolytic fission of a covalent bond: free radicals, carbocations, carbanions, electrophiles and nucleophiles, types of organic reactions.

Unit XIII: Hydrocarbons

Chapter 15: Hydrocarbons

  • Classification of Hydrocarbons
  • Aliphatic Hydrocarbons:
  • Alkanes - Nomenclature, isomerism, conformation (ethane only), physical properties, chemical reactions including free radical mechanism of halogenation, combustion and pyrolysis.
  • Alkenes - Nomenclature, structure of double bond (ethene), geometrical isomerism, physical properties, methods of preparation, chemical reactions: addition of hydrogen, halogen, water, hydrogen halides (Markownikov's addition and peroxide effect), ozonoly
  • Alkynes - Nomenclature, structure of triple bond (ethyne), physical properties, methods of preparation, chemical reactions: acidic character of alkynes, addition reaction of - hydrogen, halogens, hydrogen halides and water.
  • Aromatic Hydrocarbons: Introduction, IUPAC nomenclature, benzene: resonance, aromaticity, chemical properties: mechanism of electrophilic substitution. nitration, sulphonation, halogenation, Friedel Craft's alkylation and acylation, directive influence of

Unit XIV: Environmental Chemistry

Chapter 16: Environmental Chemistry

  • Environmental pollution - air, water and soil pollution
  • chemical reactions in atmosphere, smog, major atmospheric pollutants
  • acid rain, ozone and its reactions, effects of depletion of ozone layer
  • greenhouse effect and global warming- pollution due to industrial wastes, green chemistry as an alternative tool for reducing pollution, strategies for control of environmental pollution.

Biology

Unit I: Diversity of Living Organism

Chapter-1: The Living World

  • What is living?
  • Diversity in the Living World
  • Taxonomic Categories
  • Taxonomical Aids

Chapter-2: Biological Classification

  • Kingdom Systems of Classification
  • Kingdom: Monera
  • Kingdom: Protista
  • Kingdom: Fungi
  • Kingdom: Plantae
  • Kingdom: Animalia

Chapter-3: Plant Kingdom

  • Classification Systems and taxonomy branches
  • Algae
  • Bryophytes
  • Pteridophytes
  • Gymnosperms
  • Angiosperms
  • Plant Life Cycles and Alteration of Generations

Chapter-4: Animal Kingdom

  • Basis of Classification
  • Classification of Animals
  • Phylum : Porifera
  • Phylum : Coelenterata (Cnidaria)
  • Phylum : Ctenophora
  • Phylum: Platyhelminthes
  • Phylum: Aschelminthes / Nemathelminthes
  • Phylum : Annelida
  • Phylum : Arthropoda
  • Phylum : Mollusca
  • Phylum : Echinodermata
  • Phylum : Hemichordata / Stomachordata
  • phylum chordata

Unit 2: Structural Organisation in Animals and Plants

Chapter-5: Morphology of Flowering Plants

  • The Root
  • The Stern
  • The Leaf
  • The Inflorescence
  • The Flower
  • The Fruit
  • The Seed
  • Semi-Technical Description of a Typical Flowering Plant
  • Some important families

Chapter-6: Anatomy of Flowering Plants

  • The Tissues
  • The Tissue System
  • Anatomy of Dicotyledonous and Monocotyledonous Plants
  • Secondary Growth

Chapter-7: Structural Organisation in Animals

  • Animal Tissues
  • Epithelial Tissue
  • Connective Tissue
  • Muscular Tissue
  • Nervous (Neural) Tissue
  • organ and organ system
  • Cockroach
  • earthworm
  • frog

Unit 3: Cell Structure and Function

Chapter-8: Cell-The Unit of Life

  • What is a cell ?
  • Cell Theory
  • An overview of cell
  • Prokaryotic Cells
  • Eukaryotic Cells

Chapter-9: Biomolecules

  • How to Analyse Chemical Composition?
  • Primary and Secondary Metabolites
  • Carbohydrates
  • Amino Acids
  • Proteins
  • Lipids
  • Nucleic Acids
  • Concept of Metabolism and living state
  • Enzymes

Chapter-10: Cell Cycle and Cell Division

  • Cell cycle
  • Phases of the Cell Cycle
  • Mitosis and it's significance
  • meiosis and it's significance

Unit 4: Plant Physiology

Chapter-11: Transport in Plants

  • different types of transport
  • plant water relations
  • water transport
  • transpiration
  • uptake and transport of mineral nutrients
  • transport by phloem

Chapter-12: Mineral Nutrition

  • methods to study the mineral requirements of plants
  • mineral elements that are essential
  • absorption of elements
  • translocation of solutes
  • soil contains essential elements
  • Metabolism of Nitrogen

Chapter-13: Photosynthesis in Higher Plants

  • cyclic and non cyclic photophosphorylation and The Electron Transport
  • Prior knowledge of the photosynthesis and early experiments
  • where does photosynthesis occur?
  • Photosynthetic Pigments
  • Photosynthetic Units / Pigment Systems
  • Mechanism of Photosynthesis
  • Non - Cyclic Photophosphorylation
  • Splitting of water
  • Chemiosmotic Hypothesis
  • Where are ATP and NADPH used ?
  • The C4 Pathway {Hatch and Slack Pathway}
  • Photorespiration
  • Factors affecting Photosynthesis

Chapter-14: Respiration in Plants

  • Do Plants Breathe
  • Glycolysis
  • Fermentation
  • Aerobic Respiration
  • The Respiratory Balance Sheet
  • why respiration is amphibolic?
  • Respiratory Quotient

Chapter-15: Plant - Growth and Development

  • Growth
  • Differentiation, Dedifferentiation and redifferentiation
  • Development
  • Plant Growth Regulators
  • Photoperiodism
  • Vernalisation

Unit 5: Human Physiology

Chapter-16: Digestion and Absorption

  • Digestive System
  • mechanism of food digestion
  • Absorption of Digested Products
  • Disorders of Digestive System

Chapter-17: Breathing and Exchange of Gases

  • Respiratory Organs
  • Human Respiratory System
  • Mechanism of Breathing
  • Exchange of Gases
  • Transport of Gases
  • Regulation of Respiration
  • Disorders of Respiratory System

Chapter-18: Body Fluids and Circulation

  • Blood
  • Lymph (Tissue Fluid)
  • Circulatory Pathways
  • Regulation of Cardiac Activity
  • Electrocardiogram (ECG)
  • Disorders of Circulatory System

Chapter-19: Excretory Products and Their Elimination

  • Human Excretory System
  • Urine Formation
  • Functions of the Tubules
  • Mechanism of Concentration of the Filter
  • Regulation of Kidney Function
  • Micturition
  • Role of other organs in Excretion
  • Disorders of the Excretory System

Chapter-20: Locomotion and Movement

  • Types of Movement
  • Muscles
  • Mechanism of Muscle Contraction
  • Skeletal System
  • Joints
  • Disorder of Muscular and Skeletal System

Chapter-21: Neural Control and Co-ordination

  • Human Neural System
  • structure of neuron
  • generation and conduction of impulse
  • transmission of impulse
  • Central Neural System
  • Reflex Action and Reflex Arc
  • Sensory Reception and processing
  • Eye and Ear

Chapter-22: Chemical Co-ordination and Integration

  • Endocrine glands and endocrine system
  • Pituitary and pineal gland
  • Thyroid gland and Parathyroid gland
  • Pineal and Thymus gland
  • Pancreas
  • Testes and ovary
  • Hormones of heart, kidney and gastrointestinal tract
  • Mechanism of hormone action

Introductory Microeconomics

Unit 4 Forms of Market

Perfect Competition

  • Meaning and features.

Unit 2 Consumer's Equilibrium

Elasticity of Demand

  • Factors affecting price elasticity of demand

History

Unit 1: Themes in World History

Chapter 1: 1.From the Beginning of Time

  • early societies
  • Early Humans: Ways of Obtaining Food

Chapter 2: Writing and city life

  • Mesopotamia and its Geography
  • Urbanism
  • A Trading Town in a Pastoral Zone

Chapter 3: Empire Across Three Continents

  • An Empire Across Three Continents

Chapter 4: Central Islamic Lands

  • Rise of Islam in Arabia
  • Central Islamic Lands
  • The Abbasid Revolution

Chapter 5: Nomadic empire

  • Economy
  • New empires

Chapter 6: The Three order

  • Feudalism
  • Factors Affecting Social and Economic Relations

Chapter 7: Changing Cultural Traditions

  • Revival of Italian Cities
  • Copernican Revolution

Chapter 8: Confrontation of Cultures

  • Communities of the Caribbean and Brazil
  • Cortes and the Aztecs

Chapter 9: Industrial Revolution

  • Towns, Trade and Finance
  • Women, Children and Industrialisation

Chapter 10: Displacing Indigenous Peoples

  • Native Peoples

Chapter 11: Paths to modernization

  • Political System
  • Rise of the Communist Party of China

Geography

Unit 1: GEOGRAPHY AS A DISCIPLINE

Chapter 1: GEOGRAPHY AS A DISCIPLINE

  • GEOGRAPHY AS AN INTEGRATING DISCIPLINE

Unit 2: THE EARTH

Chapter 2: THE ORIGIN AND EVOLUTION OF EARTH

  • THE EARTH

Chapter 3: INTERIOR OF THE EARTH

  • SOURCES OF INFORMATION ABOUT THE INTERIOR
  • STRUCTURE OF THE EARTH

Chapter 4: DISTRIBUTION OF OCEANS

  • CONTINENTAL DRIFT
  • PLATE TECTONICS

Unit 3: LANDFORM

Chapter 5: MINERALS AND ROCKS

  • PHYSICAL CHARACTERISTICS

Chapter 6: GEOMORPHIC PROCESSES

  • GEOMORPHIC PROCESSES

Chapter 7: 7. LANDFORMS AND THEIR EVOLUTION

  • EROSIONAL LANDFORMS
  • WAVES AND CURRENTS

Unit 4: CLIMATE

Chapter 8:COMPOSITION AND STRUCTURE OF ATMOSPHERE

  • COMPOSITION OF THE ATMOSPHERE

Chapter 9: SOLAR RADIATION, HEAT BALANCE AND TEMPERATURE

  • HEATING AND COOLING OF ATMOSPHERE

Chapter 10: ATMOSPHERIC CIRCULATION AND WEATHER SYSTEMS

  • ATMOSPHERIC PRESSURE
  • THE GENERAL CIRCULATION OF THE ATMOSPHERE

Chapter 11: WATER IN THE ATMOSPHERE

  • EVAPORATION AND CONDENSATION

Chapter 12: WORLD CLIMATE AND CLIMATE CHANGE

  • KOEPPE N’S SCHEME OF CLASSIFICATION
  • CLIMATE CHANGE

Unit 5: WATER (OCEANS)

Chapter 13: WATER (OCEANS)

  • HYDROLOGICAL CYCLE

Chapter 14: MOVEMENT OF OCEAN WATER

  • SALINITY OF OCEAN WATERS

Unit 6: LIFE ON THE EARTH

Chapter 15: LIFE ON THE EARTH

  • ECOLOGY

Chapter 16: BIODIVERSITY AND CONSERVATION

  • GENETIC DIVERSITY

Part 2: (INDIA: PHYSICAL ENVIRONMENT)

Chapter 1: INDIA – LOCATION

  • LOCATION
  • INDIA’S NEIGHBOURS

Unit 2: PHYSIOGRAPHY

Chapter 2: STRUCTURE AND PHYSIOGRAPHY

  • MAJOR PHYSIOGRAPHIC DIVISIONS

Chapter 3: DRAINAGE SYSTEMS

  • DRAINAGE
  • RIVER SYSTEM
  • ROLE OF RIVERS IN THE ECONOMY

Unit 3: CLIMATE, VEGETATION AND SOIL

Chapter 4: CLIMATE

  • CLIMATE
  • FACTORS AFFECTING INDIA’S CLIMATE
  • THE INDIAN MONSOON
  • THE SEASONS

Chapter 5: NATURAL VEGETATION

  • RELIEF
  • TYPES OF VEGETATION

Chapter 6: SOILS

  • CLASSIFICATION OF SOILS
  • SOIL DEGRADATION

Unit 4:NATURAL HAZARDS AND DISASTERS: CAUSES, CONSEQUENCES AND MANAGEMENT

Chapter 7: NATURAL HAZARDS AND DISASTERS

  • 7. NATURAL HAZARDS AND DISASTERS

Political Science

Unit 1: India Constitution at Work

Chapter 1: CONSTITUTION WHY AND HOW?

  • NEED FOR CONSTITUTION
  • AUTHORITY OF A CONSTITUTION

Chapter 2: RIGHTS IN THE INDIAN CONSTITUTION

  • FUNDAMENTAL RIGHTS

Chapter 3: ELECTION AND REPRESENTATION

  • ELECTIONS AND DEMOCRACY

Chapter 4: EXECUTIVE

  • EXECUTIVE

Chapter 5: LEGISLATURE

  • NEED A PARLIAMENT

Chapter 6: JUDICIARY

  • NEED FOR AN INDEPENDENT JUDICIARy

Chapter 7: FEDERALISM

  • FEDERALISM

Chapter 8: LOCAL GOVERNMENTS

  • LOCAL GOVERNMENTS

Chapter 9: CONSTITUTION AS A LIVING DOCUMENT

  • CONSTITUTION AND FUNCTIONS

Chapter 10: THE PHILOSOPHY OF THE CONSTITUTION

  • MEANING OF PHILOSOPHY