Chapter 1. Sets

Introduction, Sets and their Representations,

The Empty Set, Finite and Infinite Sets,

Equal Sets, Subsets, Universal Sets, Venn Diagrams,

Operations on Sets,

Complement of a Set

Chapter 2. Relations and Functions

 Introduction, Cartesian Product of Sets,

 Relations, Functions

Chapter 3. Trigonometric Functions

Introduction, Angles, Trigonometric Functions,

Trigonometric Functions of Sum and Difference of Two Angles

Chapter 4. Complex Numbers and Quadratic Equations

Introduction,

 Complex Numbers, Algebra of Complex Numbers,

The Modulus and the Conjugate of a Complex Number,

Argand Plane and Polar Representation

Chapter 5. Linear Inequalities 

Introduction, Inequalities,

 Algebraic Solutions of Linear Inequalities in and

their Graphical Representation One Variable

Chapter 6. Permutations and Combinations

Introduction, Fundamental Principle of Counting,

Permutations, Combinations

Chapter 7. Binomial Theorem

Introduction, Binomial Theorem for Positive Integral Indices

Chapter 8. Sequences and Series

 Introduction, Sequences, Series, 

Geometric Progression (G.P.),

 Relationship Between A.M. and G.M.

Chapter 9. Straight Lines

Introduction, Slope of a Line,

Various Forms of the Equation of a Line,

 Distance of a Point From a Line

Chapter 10. Conic Sections

Introduction, Sections of a Cone,  Circle, Parabola,

  Ellipse, Hyperbola

Chapter 11. Introduction to Three-Dimensional Geometry

Introduction,

 Coordinate Axes and

Coordinate Planes in Three-Dimensional Space,

 Coordinates of a Point in Space, Distance between Two Points

Chapter 12. Limits and Derivatives

Introduction, Intuitive Idea of Derivatives, Limits,

 Limits of Trigonometric Functions

, Derivatives

Chapter 13. Statistics

Introduction, Measures of Dispersion, Range, Mean Deviation,

 Variance and Standard Deviation

Chapter 14. Probability

 Event,  Axiomatic Approach to Probability

Chapter 1: UNITS AND MEASUREMENTS

Introduction, The international system of units, Significant figures,

 Dimensions of physical quantities, 

Dimensional formulae and dimensional equations, 

Dimensional analysis and its applications

Chapter 2: MOTION IN A STRAIGHT LINE

 Introduction, Instantaneous velocity and speed,  Acceleration, 

Kinematic equations for uniformly accelerated motion

Chapter 3: MOTION IN A PLANE 

Introduction, Scalars and vectors, Multiplication of vectors by real numbers,

 Addition and subtraction of vectors – graphical method, Resolution of vectors, 

Vector addition – analytical method, Motion in a plane,

 Motion in a plane with constant acceleration,

 Projectile motion, Uniform circular motion

Chapter 4: LAWS OF MOTION

Introduction, Aristotle’s fallacy, The law of inertia, Newton’s first law of motion,

 Newton’s second law of motion,

Newton’s third law of motion, Conservation of momentum, Equilibrium of a particle,

 Common forces in mechanics, Circular motion,

 Solving problems in mechanics

Chapter 5: WORK, ENERGY AND POWER

Introduction, Notions of work and kinetic energy: The work-energy theorem, Work,

Kinetic energy,  Work done by a variable force, The concept of potential energy, 

The conservation of mechanical energy, The potential energy of a spring, Power,

 Collisions

Chapter 6: SYSTEM OF PARTICLES AND ROTATIONAL MOTION

Introduction, Centre of mass, Centre of mass, The motion of the center of mass,

 Vector product of two vectors, 

Angular velocity and its relation with linear velocity,

Torque and angular momentum, Equilibrium of a rigid body, Moment of inertia,

Kinematics of rotational motion about a fixed axis,

Dynamics of rotational motion about a fixed axis, 

Angular momentum in case of rotations about a fixed axis

Chapter 7: GRAVITATION

Introduction, Kepler’s laws, The universal law of gravitation, 

The gravitational constant,

 Acceleration due to the gravity of the earth,

Acceleration due to gravity below and above the surface of the earth,

Gravitational potential energy, Escape speed, Earth satellites, 

Energy of an orbiting satellite

Chapter 8: Mechanical Properties of Solids

Introduction, Stress and strain, Hooke’s law, Stress-strain curve,

 Elastic moduli, Applications of elastic behavior of materials

Chapter 9: Mechanical Properties of Fluids

Introduction, Pressure, Streamline flow, Bernoulli’s principle,

 Viscosity, Surface tension

Chapter 10: Thermal Properties of Matter

Introduction, Temperature and heat, Measurement of temperature,

 gas equation and absolute temperature, Thermal expansion, 

Specific heat capacity

Calorimetry, Change of state, Heat transfer, Newton’s law of cooling

Chapter 11: Thermodynamics

Introduction, Thermal equilibrium, Zeroth law of thermodynamics, 

Heat, internal energy, and work, The first law of thermodynamics,

Specific heat capacity, Thermodynamic state variables and equation of state,

Thermodynamic processes, Second law of thermodynamics,

 Reversible and irreversible processes, Carnot engine

Chapter 12: Kinetic Theory

Introduction, Molecular nature of matter, Behaviour of gases,

Kinetic theory of an ideal gas, Law of equipartition of energy,

 Specific heat capacity, Mean free path

Chapter 13: Oscillations

Introduction, Periodic and oscillatory motions, Simple harmonic motion, 

Simple harmonic motion and uniform circular motion, 

Velocity and acceleration in simple harmonic motion,

 Energy in simple harmonic motion, The Simple Pendulum

 Chapter 14: Waves

Introduction, Transverse and longitudinal waves,

 Displacement relation in a progressive wave, The speed of a traveling wave, 

The principle of superposition of waves, Reflection of waves, Beats 

Chapter: Some Basic Concepts of Chemistry

Importance of Chemistry, Nature of Matter, 

Properties of Matter and Their Measurement, 

Uncertainty in Measurement, Laws of Chemical Combinations

Dalton’s Atomic Theory, Atomic and Molecular Masses,

 Mole Concept and Molar Masses, Percentage Composition, 

Stoichiometry and Stoichiometric Calculations

Chapter 2: Structure of Atom

Discovery of Sub-atomic Particles, Atomic Models,

 Developments Leading to Bohr’s Model of Atom, 

Bohr’s Model for Hydrogen Atom, 

Towards the Quantum Mechanical Model of the Atom, 

Quantum Mechanical Model of Atom

Chapter 3: Classification of Elements and Periodicity in Properties

Why do we Need to Classify Elements?, Genesis of Periodic Classification, 

Modern Periodic Law and the Present Form of the Periodic Table, 

Nomenclature of Elements with Atomic Numbers,

 Electronic Configurations of Elements and the Periodic Table, 

Electronic Configurations and Types of Elements: 82 s-, p-, d-, f- Blocks, 

Periodic Trends in Properties of Elements

Chapter 4: Chemical Bonding and Molecular Structure

Kössel-Lewis Approach to Chemical Bonding, Ionic or Electrovalent Bond, 

Bond Parameters,

 The Valence Shell Electron Pair Repulsion (VSEPR) Theory, 

Valence Bond Theory, Hybridization, Molecular Orbital Theory, 

Bonding in Some Homonuclear Diatomic Molecules, 

Hydrogen Bonding

Chapter 5: Thermodynamics

Thermodynamic Terms, Applications,

Measurement of ∆U and ∆H: Calorimetry,

Enthalpy Change, ∆rH of a Reaction – Reaction Enthalpy, 

Enthalpies for Different Types of Reactions, Spontaneity, 

Gibbs Energy Change and Equilibrium

Chapter 6: Equilibrium

Equilibrium in Physical Processes,

 Equilibrium in Chemical Processes – Dynamic Equilibrium,

Law of Chemical Equilibrium and Equilibrium Constant, 

Homogeneous Equilibria, Heterogeneous Equilibria,

 Applications of Equilibrium Constants, Factors Affecting Equilibria,

 Ionic Equilibrium in Solution, Acids, Bases, and Salts,

  Ionization of Acids and Bases, Buffer Solutions, 

Solubility Equilibria of Sparingly Soluble Salts

Chapter 7: Redox Reactions

Classical Idea of Redox Reactions-Oxidation and Reduction Reactions, 

Redox Reactions in Terms of Electron Transfer Reactions,

 Oxidation Number, Redox Reactions, and Electrode Processes

Chapter 8: Organic Chemistry – Some Basic Principles and Techniques

General Introduction, Tetravalence of Carbon: Shapes of Organic Compounds

Structural Representations of Organic Compounds,

 Classification of Organic Compounds, Nomenclature of Organic Compounds,

Isomerism, Fundamental Concepts in Organic Reaction Mechanism, 

Methods of Purification of Organic Compounds, 

Qualitative Analysis of Organic Compounds, 

Quantitative Analysis

Chapter 9: Hydrocarbons

Classification, Alkanes, Alkenes, Alkynes, Aromatic Hydrocarbon, 

Carcinogenicity and Toxicity

          Chapter 1:  The Living World

Biodiversity, Need for classification; three domains of life, Biodiversity          

Chapter 2: Biological Classification

Five kingdom classification, Salient features and classification of Monera, Protista,

and Fungi into major groups
Lichens, Viruses, and Viroids.

Chapter-3: Plant Kingdom

Classification of plants into major groups, Salient and distinguishing features,

A few examples of Algae are Bryophyta, Pteridophyta, and Gymnospermae
(Topics excluded – Angiosperms, Plant Life Cycle, and Alternation of Generations)

Chapter 4: Animal Kingdom

Salient features and classification of animals,

Non-chordates up to phyla level and chordates up to class level,

(salient features and a few examples of each category).
(No live animals or specimens should be displayed.)

Chapter 5: Morphology of Flowering Plants

Morphology of different parts of flowering plants: root, stem, leaf, inflorescence, flower, fruit, and seed, 

Description of the family Solanaceae

Chapter 6: Anatomy of Flowering Plants

Anatomy and functions of tissue systems in dicots and monocots.

Chapter 7: Structural Organisation in Animals

Morphology, Anatomy, and functions of different systems
(digestive, circulatory, respiratory, nervous, and reproductive) of the frog.

Chapter-8: Cell-The Unit of Life

Cell theory and cell as the basic unit of life, structure of prokaryotic and eukaryotic cells,

Plant cells and animal cells, Cell envelope, Cell membrane, cell wall, Cell organelles – structure and function, 

The endomembrane system, The endoplasmic reticulum, Golgi bodies, Lysosomes, vacuoles, Mitochondria,

Ribosomes, Plastids, Microbodies, Cytoskeleton, Cilia, flagella, Centrioles (ultrastructure and function),

Nucleus

Chapter-9: Biomolecules 

 Chemical constituents of living cells: biomolecules, structure, and function of proteins, carbohydrates,

lipids, nucleic acids, Enzyme – types, properties, 

Enzyme action. (Topics excluded: Nature of Bond Linking Monomers in a Polymer,

Dynamic State of Body Constituents – Concept of Metabolism, Metabolic Basis of Living, The Living State)

Chapter 10: Cell Cycle, Cell Division

Cell Cycle, Cell Division Cell cycle, mitosis, meiosis, and their significance

Chapter 13: Photosynthesis in Higher Plants

Photosynthesis as a means of autotrophic nutrition, 

Site of photosynthesis, pigments involved in photosynthesis (elementary idea),

Photochemical and biosynthetic phases of photosynthesis,

Cyclic and non-cyclic photophosphorylation, Chemiosmotic hypothesis; photorespiration, 

C3 and C4 pathways, Factors affecting photosynthesis

Chapter 14: Respiration in Plants

Exchange of gases, Cellular respiration – glycolysis, fermentation (anaerobic), TCA cycle,

and electron transport system (aerobic), Energy relations – number of ATP molecules generated,

 amphibolic pathways, Respiratory quotient

Chapter 15: Plant – Growth and Development

Seed germination, Phases of plant growth and plant growth rate, Conditions of growth,

Differentiation, differentiation, and differentiation, 

The sequence of developmental processes in a plant cell, 

Growth regulators – auxin, gibberellin, cytokinin, ethylene, ABA

Chapter 17: Breathing and Exchange of Gases

Respiratory organs in animals (recall only), Respiratory system in humans,

 mechanism of breathing and its regulation in humans –
exchange of gases, transport of gases and regulation of respiration, respiratory volume,

Disorders related to respiration – asthma, emphysema, occupational respiratory disorders

Chapter 18: Body Fluids and Circulation

Composition of the blood, blood groups, coagulation of blood, Composition of lymph and its function,

 Human circulatory system – Structure of human heart and blood vessels, Cardiac cycle, cardiac output,

ECG, Double circulation, Regulation of cardiac activity,

 Disorders of the circulatory system – hypertension, coronary artery disease, angina pectoris, heart failure

Chapter 19: Excretory Products and Their Elimination

Modes of excretion – ammonotelism, ureotelism, uricotelism,

 Human excretory system –structure and function,

Urine formation, osmoregulation, Regulation of kidney function – renin-angiotensin,

atrial natriuretic factor, ADH,

and diabetes insipidus, Role of other organs in excretion,

 Disorders – uremia, renal failure, renal calculi, nephritis, 

Dialysis and artificial kidney, a kidney transplant

Chapter 20: Locomotion and Movement

Types of movement – ciliary, flagellar, muscular; skeletal muscle,

contractile proteins, and muscle contraction

Skeletal system and its functions, Joints, Disorders of muscular and

skeletal systems – myasthenia gravis,
tetany, muscular dystrophy, arthritis, osteoporosis, gout

Chapter 21: Neural Control and Coordination

 Neuron and nerves, The nervous system in humans – central nervous system;
the peripheral nervous system and the visceral nervous system, 

Generation and conduction of nerve impulse

Chapter 22: Chemical Coordination and Integration

Endocrine glands and hormones, Human endocrine system – hypothalamus,

pituitary, pineal, thyroid, parathyroid, adrenal, pancreas, gonads, 

Mechanism of hormone action (elementary idea),

Role of hormones as messengers and regulators, hypo – and hyperactivity, 

 Related disorders; Dwarfism, acromegaly, diabetes, and Addison's disease,

 cretinism, goiter, exophthalmic goiter