JKBOPEE B AND D PHARMACY OFFICIAL SYLLABUS

PHYSICS

UNIT 1: PHYSICAL WORLD AND MEASUREMENT (Marks: 02)

Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived

units. Significant figures. Dimensions of physical quantities, dimensional analysis and its applications.

UNIT 2: KINEMATICS (Marks: 03)

Motion in a Straight Line

Frame of reference, Motion in a straight line, Elementary concepts of differentiation and integration

for describing motion, uniform and non-uniform motion, and instantaneous velocity, uniformly

accelerated motion, velocity - time and position-time graphs. Relations for uniformly accelerated

motion (graphical treatment).

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, eUnit 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 3: LAWS OF MOTION (Marks: 02)

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 a banked road).

UNIT 4: WORK, ENERGY AND POWER (Marks: 02)

Work, Energy 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: non-conservative

forces, motion in a vertical circle; elastic and inelastic collisions in one and two dimensions.

UNIT 5: MOTION OF SYSTEM OF PARTICLES AND RIGID BODY (Marks: 02)

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, law 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).

UNIT 6: GRAVITATION (Marks: 02)

Kepler's laws of planetary motion, universal law of gravitation. Acceleration due to gravity and its

variation with altitude and depth. Gravitational potential energy and gravitational potential, escape

speed, orbital velocity of a satellite.

UNIT 7: PROPERTIES OF BULK MATTER (Marks: 02)

Mechanical Properties of Solids

Elasticity, Stress-strain relationship, Hooke's law, Young’s modulus, bulk modulus, shear modulus of

rigidity (qualitative idea only), Poisson's ratio; elastic energy.

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 simple 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.

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.

UNIT 8: THERMODYNAMICS (Marks: 02)

Thermal equilibrium and definition of temperature, zeroth law of thermodynamics, heat, work and

internal energy. First law of thermodynamics, Second law of thermodynamics: gaseous state of

matter, change of condition of gaseous state -isothermal, adiabatic, reversible, irreversible, and

cyclic processes.

UNIT 9: BEHAVIOUR OF PERFECT GAS AND KINETIC THEORY (Marks: 02)

Kinetic Theory

Equation of state of a perfect gas, work done in compressing a gas. Kinetic theory of gases -

assumptions, concept of pressure, Expression for pressure exerted by a gas. Kinetic interpretation of

temperature; rms speed of gas molecules; degrees of freedom, law of equipartition of energy

(statement only) and application to specific heat capacities of gases; concept of mean free path,

Avogadro's number.

UNIT 10: OSCILLATIONS AND WAVES (Marks: 02)

Oscillations

Periodic motion - time period, frequency, displacement as a function of time, periodic functions and

their applications. Simple harmonic motion (S.H.M) and its equations of motion; phase; oscillations

of a loaded spring- restoring force and force constant; energy in S.H.M. Kinetic and potential

energies; simple pendulum derivation of expression for its time period.

Waves

Wave motion: Transverse and longitudinal waves, speed of travelling wave, 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.

UNIT 11: ELECTROSTATICS (Marks: 02)

Electric Charges and Fields

Electric charges, Conservation of charge, Coulomb's law-force between two- point charges,

forces between multiple charges; superposition principle and continuous charge distribution. Electric

field, electric field due to a point charge, electric field lines, electric dipole, electric field due to a

dipole, torque on a dipole in uniform electric field. Electric flux, statement of Gauss's theorem and its

applications to find field due to infinitely long straight wire, uniformly charged infinite plane sheet

and uniformly charged thin spherical shell (field inside and outside).

Electrostatic Potential and Capacitance Electric potential, potential difference, electric potential due to a point charge, a dipole and

system of charges; equipotential surfaces, electrical potential energy of a system of two-point

charges and of electric dipole in an electrostatic field. Conductors and insulators, free charges and

bound charges inside a conductor. Dielectrics and electric polarization, capacitors and capacitance,

combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and

without dielectric medium between the plates, energy stored in a capacitor (no derivation, formulae

only).

UNIT 12: CURRENT ELECTRICITY (Marks: 02)

Electric current, flow of electric charges in a metallic conductor, drift velocity, mobility and

their relation with electric current; Ohm's law, V-I characteristics (linear and non-linear), electrical

energy and power, electrical resistivity and conductivity, temperature dependence of resistance,

Internal resistance of a cell, potential difference and emf of a cell, Kirchhoff's rules, Wheatstone

bridge.

UNIT 13: MAGNETIC EFFECTS OF CURRENT AND MAGNETISM (Marks: 02)

Moving Charges and Magnetism

Concept of magnetic field, Oersted's experiment. Biot - Savart law and its application to current

carrying circular loop. Ampere's law and its applications to infinitely long straight wire. Straight

solenoid (only qualitative treatment), force on a moving charge in uniform magnetic and electric

fields. Force on a current-carrying conductor in a uniform magnetic field, force between two parallel

current-carrying conductors-definition of ampere, torque experienced by a current loop in uniform

magnetic field; Current loop as a magnetic dipole and its magnetic dipole moment, moving coil

galvanometer- its current sensitivity and conversion to ammeter and voltmeter.

Magnetism and Matter

Bar magnet, bar magnet as an equivalent solenoid (qualitative treatment only), magnetic field

intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis

(qualitative treatment only), torque on a magnetic dipole (bar magnet) in a uniform magnetic field

(qualitative treatment only), magnetic field lines. Magnetic properties of materials- Para-, dia- and

ferro - magnetic substances with examples, Magnetization of materials, effect of temperature on

magnetic properties.

UNIT 14: ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS (Marks: 02)

Electromagnetic Induction

Electromagnetic induction; Faraday's laws, induced EMF and current; Lenz's Law, Self and mutual

induction.

Alternating Current

Alternating currents, peak and RMS value of alternating current/voltage; reactance and impedance;

LCR series circuit (phasors only), resonance, power in AC circuits, power factor, wattles current. AC

generator, Transformer.

UNIT 15: ELECTROMAGNETIC WAVES (Marks: 02)

30|P a g eBasic idea of displacement current, Electromagnetic waves, their characteristics, their transverse

nature (qualitative idea only). Electromagnetic spectrum (radio waves, microwaves, infrared, visible,

ultraviolet, X-rays, gamma rays) including elementary facts about their uses.

UNIT 16: OPTICS (Marks: 03)

Ray Optics and Optical Instruments

Ray Optics: Reflection of light, spherical mirrors, mirror formula, refraction of light, total internal

reflection and optical fibers, refraction at spherical surfaces, lenses, thin lens formula, lens maker’s

formula, magnification, power of a lens, combination of thin lenses in contact, refraction of light

through a prism. Optical instruments: Microscopes and astronomical telescopes (reflecting and

refracting) and their magnifying powers.

Wave Optics

Wave optics: Wave front and Huygen’s principle, reflection and refraction of plane wave at a plane

surface using wave fronts. Proof of laws of reflection and refraction using Huygen’s principle.

Interference, Young's double slit experiment and expression for fringe width (No derivation final

expression only), coherent sources and sustained interference of light, diffraction due to a single slit,

width of central maxima (qualitative treatment only).

UNIT 17: DUAL NATURE OF MATTER AND RADIATION (Marks: 02)

Dual nature of radiation, Photoelectric effect, Hertz and Lenard's observations; Einstein's

photoelectric equation-particle nature of light. Experimental study of photoelectric effect Matter

waves-wave nature of particles, de-Broglie relation.

UNIT 18: ATOMS AND NUCLEI (Marks: 02)

Atoms

Alpha-particle scattering experiment; Rutherford's model of atom; Bohr model of hydrogen atom,

Expression for radius of nth possible orbit, velocity and energy of electron in nth orbit, hydrogen line

spectra (qualitative treatment only).

Nuclei

Composition and size of nucleus, nuclear force Mass-energy relation, mass defect; binding energy

per nucleon and its variation with mass number; nuclear fission, nuclear fusion.

UNIT 19: ELECTRONIC DEVICES (Marks: 02)

Semiconductor Electronics

Materials, Devices and Simple Circuits Energy bands in conductors, semiconductors and insulators

(qualitative ideas only) Intrinsic and extrinsic semiconductors- p and n type, p-n junction

Semiconductor diode - I-V characteristics in forward and reverse bias, application of junction diode -

diode as a rectifier.

CHEMISTRY

UNIT 1: SOME BASIC CONCEPTS OF CHEMISTRY & ATOMIC STRUCTURE (Marks: 02)

Laws of Chemical combination (numerical), Dalton's Atomic Theory, Concept of elements, atoms &

molecules. Atomic and molecular masses, Mole concept and molar mass, percentage composition,

empirical and molecular formula; chemical reactions, stoichiometry and calculation based on

stoichiometry.

Structure of Atom: Discovery of electron, proton and neutron, atomic number, isotopes and isobars.

Thompson's model and its limitations, Rutherford's model and its limitations. Bohr's model & its

limitations, concept of shells and sub-shells. Dual nature of matter and light, de-Broglie's

relationship. Heisenberg's uncertainty principle, concept of orbitals, quantum numbers, shapes of s,

p and d- orbitals. Rules for filling electrons in orbitals- Aufbau's principle, Pauli's exclusion principle

and Hund's rule. Electronic configuration of atoms, stability of half-filled and completely filled

orbitals.

UNIT 2: CHEMICAL EQUILIBRIUM (Marks: 02)

Equilibrium in physical and chemical processes, dynamic nature of equilibrium, law of mass action,

equilibrium constant, factors affecting equilibrium: Le-Chatelier's principle equilibrium-ionization of

acids and bases, strong and weak electrolytes, degree of ionization, Concept of pH. Hydrolysis of

salts (elementary idea), buffer solutions. Solubility product, common ion effect (with suitable

examples).

UNIT 3: CHEMICAL KINETICS (Marks: 02)

Rate of reaction (average and instantaneous rate of a reaction), factors affecting rate of reactions:

(concentration, temperature, catalyst), rate law, specific rate constant and order, molecularity of a

reaction, integrated rate expression of zero and first order reactions and their derivations, half-life

period. Concept of collision theory (elementary idea, no mathematical derivation). Activation energy,

Arrhenius equation.

UNIT 4: SOLUTIONS (Marks: 02)

Types of solutions, expression of concentration of solutions of solids in liquids, solubility of gases in

liquids, solid solutions, colligative properties: relative lowering of vapor pressure of a solution,

Raoult's law, elevation of boiling point, depression in freezing point temperature and osmotic

pressure), determination of molecular masses using colligative properties. Abnormal molecular mass,

Van't Hoff factor and calculations involving it.

UNIT 5: CHEMICAL THERMODYNAMICS (Marks: 02)

Concepts of system, types of systems, surrounding, work, heat; energy intensive and extensive

properties, state functions. First Law of Thermodynamics, internal energy, enthalpy, heat capacity,

specific heat, molar heat capacity, measurement of E and H, Hess's law of constant heat summation,

enthalpy of bond dissociation, combustion; formation, atomization, sublimation, phase transition

ionization and dilution. Introduction of entropy as a state function, free energy change for

spontaneous and non-spontaneous process and equilibrium.

UNIT 6: REDOX REACTIONS AND ELECTROCHEMISTRY (Marks: 02)

Concept of oxidation and reduction, redox reactions, oxidation number, balancing of chemical

equations in redox reactions, applications of redox reactions, conductance in electrolytic solutions,

specific conductivity, molar conductivity, variation of conductivity with concentration, Kohlrausch's

law and its applications Electrolysis and laws of electrolysis (elementary idea), dry cell-electrolytic

cells and galvanic cells; Lead accumulator, emf of a cell, standard electrode potential, Nernst eequation and its application to Chemical cells, relation between Gibb's energy change and emf of a

cell, fuel cells, corrosion

UNIT 7: PERIODIC PROPERTIES (Marks: 02)

Significance of classification, brief history of the development of periodic table. Modern periodic law

and the present form of the periodic table, periodic trends in properties of elements: atomic radii,

ionic radii, inert gas radii, ionization enthalpy, electron gain enthalpy, electronegativity, valency.

UNIT 8: CHEMICAL BONDING AND MOLECULAR STRUCTURE (Marks: 02)

Valence electrons, lonic bond, covalent bond, bond parameters, Lewis structure, polar character of

covalent 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 molecules (Qualitative idea only), hydrogen bond.

UNIT 9: CO-ORDINATION CHEMISTRY (Marks: 02)

Co-ordination compounds: Introduction, ligands, co-ordination number, color, magnetic properties

and shapes, IUPAC nomenclature of mononuclear co-ordination compounds. Bonding (Werner's

theory, VBT and CFT), structural and stereoisomerisms, importance of coordination compounds in

qualitative inclusion of analysis, extraction of metals and biological systems.

UNIT 10: ORGANIC CHEMISTRY-SOME BASIC PRINCIPLES AND TECHNIQUES (Marks: 03)

General introduction to organic chemistry, methods of purification, qualitative and quantitative

analysis, classification and IUPAC nomenclature of organic compounds.

Electronic displacement in a covalent bond: inductive effect, electromeric effect, resonance and

hyper-conjugation. Homolytic and heterolytic fission of a covalent bond, free radicals, electrophiles,

nucleophiles, carbocations and carbanions. Types of organic reactions.

UNIT 11: d and f-BLOCK ELEMENTS (Marks: 02)

General introduction, electronic configuration, occurrence and characteristics of the transition

meals, general trends in properties of first row transition metals (metallic character, IE, electrode

potential, oxidation state, ionic radii, catalytic properties, colored ions, complex formation, magnetic

properties, interstitial compounds, alloy formation). Preparation and properties of K2Cr2O7 and

KMnO4 Lanthanides: electronic configuration, oxidation state, chemical reactivity and lanthanide

contraction and its consequences. Actinides- electronic configuration, oxidation states and

comparison with lanthanoids.

UNIT 12: HYDROCARBONS (Marks: 04)

Classification of hydrocarbons

Alkanes: Nomenclature, isomerism, conformations (ethane only), physical properties. Chemical

reactions including free radical mechanism of halogenation, combustion and Pyrolysis

Alkenes: Nomenclature, structure of double bond (ethene), geometrical isomerism, methods of

preparation, physical properties, chemical reactions- addition of hydrogen. halogen, water, hydrogen

halides (Markownikov's addition and peroxide effect). ozonolysis, oxidation, mechanism of

electrophilic addition. 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, halogenations Friedel Craft's alkylation and acylation, directive influence of functional

group in mono substituted benzene.

UNIT 13: HALOALKANES AND HALOARENES (Marks: 02)

Haloalkanes: Nomenclature, nature of C-X bond, physical & chemical properties, mechanism of

substitution reactions. Stability of carbocations, R-S and d-1 configurations

Haloarenes: Nature of C-X bond, substitution reactions (directive influence of halogens for mono

substituted compounds only), Stability of carbocations, R-S and D-L configurations Uses and

environmental effects of-dichloromethane, trichloromethane, tetrachloromethane, iodoform, freon,

and DDT

UNIT 14: ALCOHOLS, PHENOLS AND ETHERS (Marks: 03)

Alcohols: Nomenclature, methods of preparation, physical & chemical properties (of primary

alcohols only), identification of primary, secondary & tertiary alcohols; mechanism of dehydration of

alcohols. Uses, some important compounds - methanol and ethanol.

Phenols: Nomenclature, methods of preparation, physical & chemical properties, acidic nature of

phenol, electrophillic substitution reactions, uses of phenols.

Ethers: Nomenclature, methods of preparation, physical & chemical properties and uses.

UNIT 15: ALDEHYDES, KETONES AND CARBOXYLIC ACIDS (Marks: 03)

Aldehydes and Ketones: Nomenclature, nature of carbonyl group, methods of preparation, physical

& chemical properties & mechanism of nucleophilic addition reaction to C=O group, reactivity of

alpha hydrogen in aldehydes, uses

Carboxylic Acids: Nomenclature, acidic nature, methods of preparation, physical & chemical

properties and uses

UNIT 16: ORGANIC COMPOUNDS CONTAINING NITROGEN (Marks: 03)

Amines: Nomenclature, classification, structure, methods of preparation, physical & chemical

properties, uses, identification of primary, secondary & tertiary amines

Cyanides and Isocyanides: Structures of cyanide and isocyanide groups, nomenclature, preparation,

physical properties and chemical reactions

Diazonium Salts: Preparation and chemical reactions (mechanism of diazotization), and importance

aesthetic organic chemistry

UNIT 17: MOLECULES OF LIFE (Marks: 02)

Carbohydrates: Classification (aldoses and ketoses), mono saccharides: Glucose, fructose: structure,

preparation and chemical reactions, oligosaccharidees (sucrose, lactose & maltose) Polysaccharides:

(starch cellulose and glycogen); importance.

Proteins: Elementary idea of amino acids: peptide bond, polypeptides and primary, secondary, etary

and qualemary structure of proteins (Qualitative idea only), denaturation of proteins; enzymes, lips

& harmones, their classification & functions.

Nucleic Acids: DNA and RNA (purines and pyrimidines, nucleosides, nucleotides and fragments up to

four nucleotides).

Vitamins: Classification and functions, sources and deficiency diseases.

BIOLOGY

Unit I: Diversity of Life (Marks: 03)

Biodiversity:

Variety of living organisms; Need and History of classification – Artificial, Natural and Phylogenetic

classifications.

Biosystematics: Taxonomy and Systematics; Concept of species and Taxonomical hierarchy; Binomial

nomenclature; Herbarium.

Two Kingdom and Five kingdom classifications and their merits and demerits; General characters and

classification of Monera, Protista and Fungi; Lichens; Status of Viruses, and Viroids.

Unit II: Kingdom Plantae (Marks: 02)

Classification of plants into major groups; General characters of Algae, Bryophyta, Pteridophyta and

Gymnosperms and their classes.

Morphology of Flowering plants and their function: Morphology of root, stem and leaf (without their

modifications); Morphology of Inflorescence, flower, fruit and seed. Description of family

Solanaceae.

Unit III: Plant Anatomy (Marks: 02)

Tissue systems in plants – Epidermal, ground and vascular tissue systems; Anatomy and functions of

dicot and monocot root, stem and leaves.

Unit IV: Plant Physiology (Marks: 03)

Respiration: Cellular respiration; Glycolysis, Kreb’s cycle and Electron transport system (along with

ATP energetics); Chemiosmotic hypothesis; Aerobic and Anaerobic respirations; Amphibolic

pathways; Respiratory quotient.

Photosynthesis: Historical background; Site of Photosynthesis; Photosynthetic pigments; Mechanism

of Photosynthesis – Light dependent phase (Light reaction), Photosystems; Cyclic and non-cyclic photophosphorylations; Light independent (biosynthetic) phase – Calvin (C3) cycle and Hatch & Slack

(C4) cycle; Factors affecting photosynthesis; Photorespiration.

Plant Growth and Development: Characteristics of plant growth; phases of growth, growth rate,

growth curve; conditions of growth; differentiation, dedifferentiation and redifferentiation.

Sequence of developmental process in a plant cell; Plant growth regulators; Discovery and

physiological effects of Auxins, Gibberellins, Cytokinins, Ethylene and Abscissic Acid.

UNIT V: Diversity in Living World (Marks: 02)

Animal Kingdom; General characters and classification of animals (non-chordates up to phyla level

and chordates up to the level of class).

National Parks with special reference to Dachigam, Kishtwar, Salim Ali, Kazinag and Hemis. Concept

of Sanctuaries and Biosphere reserves.

Unit VI: Structural Organisation and Animal Biomolecules (Marks: 02)

Morphology, Anatomy and functions of digestive, circulatory, respiratory, nervous and reproductive

systems of Frog.

Basic chemical constituents of living bodies; Bio-molecules: Structure and function of Carbohydrates,

proteins, lipids and Nucleic acids; Primary and secondary metabolites. Enzymes: Types, Properties

and functions

Unit VII: Cell Structure and Function (Marks: 03)

Cell: Brief description of cell; Cell theory; Prokaryotic and Eukaryotic cell, Cell wall, Membrane and

Cell organelles (Plastids, Mitochondria, E.R., Golgi, Ribosomes, Lysosomes, Nucleus, Vacuoles,

centrioles and Cytoskeleton); Cilia and Flagella; Nuclear organisation.

Cell Division: Cell Cycle, Mitosis and Meiosis.

Unit VIII: Human Physiology (Marks: 03)

Breathing and Respiration: Respiratory system in humans; mechanism of breathing and its regulation

in humans; respiratory volume; Exchange of gases and their transport; Respiratory disorders.

Body fluids and Circulation: Composition of blood; Blood groups and Rh factor; Lymph; Human

Circulatory system; Cardiac cycle and ECG; Double circulation; regulation of cardiac activity;

Disorders of circulatory system.

Excretory Products and their Elimination: Modes of excretion; Human excretory system; Urine

formation, osmo regulation; regulation of kidney function; Urinary disorders; and artificial kidney.

Locomotion and Movement: Types of movement; Muscle, Contractile proteins and Muscle

contraction (Mechanism); Skeletal system and its functions; Joints; Disorders of muscular and

skeletal systems.

Neural Control and Coordination: Neuron and nerves; Nervous system in humans; Nerve impulse. Chemical Coordination and Integration: Human endocrine system; Hormones of Heart, Kidney and

G.I. Tract; Mechanism of hormone action (elementary idea); Hormonal disorders.

(Note: diseases of human physiology systems to be taught in brief)

Unit IX: Reproduction in Flowering Plants (Marks: 02)

Sexual Reproduction: Flower structure; Development of male and female gametophytes; Pollination

- types, agencies and examples; Out breeding devices; Pollen-Pistil interactions; Double fertilization;

Post fertilization events - Development of Endosperm, embryo; Development of seed and formation

of fruit; special modes - apomixis, parthenocarpy, polyembryony; Significance of seed and fruit

formation.

Unit X: Genetics (Marks: 03)

Heredity and variation Mendelian inheritance; deviations from Mendelism: Incomplete Dominance;

Co-dominance; Multiple alleles and inheritance of blood groups; Pleiotropy; Elementary idea of

polygenic inheritance; Chromosomal theory of Inheritance; Chromosomes and genes.

Molecular Basis of Inheritance: Search for genetic material and DNA as genetic material; Structure

of DNA and RNA; DNA packaging; DNA replication; Central Dogma; Protein Biosynthesis:

Transcription, genetic code, translation; Gene expression and regulation - lac Operon.

Unit XI: Biology and Human Welfare (Marks: 03)

Tissue Culture: Cellular totipotency, technique and application of tissue culture.

Microbes in Human welfare: Microbes in food processing, industrial production, sewage treatment,

energy generation (Biogas) and microbes as bio-control agents, Biopesticides and Bio-fertilizers.

Antibiotics; production and judicious use.

Application of Biotechnology in Agriculture: Genetically Modified organisms - BT crops; Biopiracy

and patents.

Unit XII: Ecology and Environment (Marks: 03)

Populations: Population attributes and Population growth; Population interactions -mutualism,

competition, predation, parasitism; population attributes - growth, birth rate and death rate, age

distribution.

Ecosystems: Patterns, components; productivity and decomposition; energy flow; Ecological

pyramids: Pyramids of number, biomass and energy.

Biodiversity and its Conservation: Biodiversity-Concept, patterns, importance; loss of biodiversity;

biodiversity conservation; hotspots, endangered organisms, extinction, Red Data Book; Biosphere

reserves, National parks, Wildlife Sanctuaries and Ramsar sites.

Unit XIII: Reproduction in Animals (Marks: 02)

Human Reproduction: Male and Female reproductive systems; Microscopic anatomy of testis and

ovary; Gametogenesis (spermatogenesis and oogenesis; menstrual cycle). Fertilisation, embryo development upto blastocyst formation, implantation; Pregnancy and placenta formation.

Elementary idea of Parturition and Lactation.

Reproductive Health: Need for reproductive health and prevention of Sexually Transmitted Diseases

(STDs); Birth control – need and methods, Contraception and Medical Termination of Pregnancy

(MTP); Amniocentesis; Infertility and assisted reproductive technologies - IVF, ZIFT, GIFT (elementary

idea for general awareness) .

Unit XIV: Genetics and Evolution (Marks: 03)

Sex determination – in humans, birds and honey bee; Linkage and Crossing over. Sex linked

inheritance: Haemophilia and colour blindness. Mendelian disorders in humans – Thalassemia;

Chromosomal disorders in humans: Down's syndrome, Turner's syndrome and Klinefelter's

syndrome Genome and Human genome project; DNA fingerprinting.

Evolution: Origin of life; Biological evolution and evidences for biological evolution; Darwin's

contribution, Modern synthetic theory of Evolution; Mechanism of evolution - Variation (Mutation

and Recombination) and Natural Selection with examples, types of natural selection; Gene flow and

genetic drift; Hardy - Weinberg's principle; adaptive radiation; Human evolution.

UNIT XV: Biology in Human Welfare (Marks: 02)

Health and Disease: Basic concepts of immunology - vaccines; Pathogens; parasites causing human

diseases (Hepatitis, Malaria, Dengue, Filariasis, Ascariasis, Typhoid, Pneumonia, Common cold,

Amoebiasis, Ring worm) and their control; Cancer, HIV and AIDS; Adolescence: drug and alcohol

abuse.

UNIT XVI: Biotechnology and its Applications (Marks: 02)

Biotechnology: Principles and processes; Genetic Engineering (Recombinant DNA Technology).

Application of biotechnology in health: Human insulin and vaccine production stem cell technology,

gene therapy. Transgenic Animals.

Bio-safety issues.

MATHEMATICS

UNIT 1: SETS, RELATIONS AND FUNCTIONS (Marks: 04)

Sets and their representation, finite and infinite sets, empty set subsets, subset of real

numbers especially intervals, universal set. Venn diagram, union and intersection of sets.

Difference of sets, Compliment of a set. Ordered pairs, Cartesian product of sets, number of

elements in the Cartesian product of two finite sets.

Relations, Domain, co- domain and range of relation, types of relation, reflexive, symmetric,

transitive and equivalence relation.

Functions as special kind of relations from one set to another, domain, co-domain and range

of a function. Real valued functions of the real variable; constant, identity, polynomial,

rational, modulus, signum and the greatest integer functions with their graphs. Sum,

38|P a g edifference, product and quotients of functions, one to one function, onto function, inverse

trigonometric function with definition, domain, range, graphs.

UNIT 2: COMPLEX NUMBER; LINEAR INEQUATION; LINEAR PROGRAMMING (Marks: 05)

Complex number: Argand’s plane, algebraic properties of complex numbers. Solution of

Quadratic equation in the complex number system. Square root of a complex number.

Linear inequation: Linear Inequalities, Algebraic solution of linear inequalities in one

variable and their representations on number line.

Linear programming: Introduction , definition of related terminology such as constraints,

objective function, optimization, graphical method of solution for problems in two variables,

feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions.

UNIT 3: SEQUENCE AND SERIES, PERMUTATION AND COMBINATION & BINOMIAL

THEOREM (Marks: 04)

Sequence and series: Arithmetic progression (A.P), arithmetic mean (A.M), nth term,

Geometric progression (G.P) , Geometric Mean (G.M), nth term, sum to n-terms and sum to

infinity of a G.P. Relation between A.M and G.M.

Permutation and combination: Fundamental principle of counting, factorial n, permutations

P(n,r) and combinations C(n,r), simple applications.

Binomial Theorem: Binomial theorem for positive integral. Pascal’s triangle and simple

applications.

UNIT 4: TRIGONOMETRIC AND INVERSE TRIGONOMETRY FUNCTIONS (Marks: 04)

Positive and negative angles, measuring angles in radians and in degrees, Conversion from

one measure to another. Definition of trigonometric functions with the help of unit circle.

Basic Trigonometric identities sin2x+cos2x=1 for all Sign of x etc. Trigonometric functions and





x 

their graphs.Expressions for )

),

cos(

),

tan(

),

cot(

sin( y

 , sum and product

y

x

y

x

y

x

formulae.

Identities related to Sin2x, Cos2x, tan2x, Sin3x, Cos3x, and tan3x. General and principal

solutions of trigonometric equations of the type Sin x= Sin a, Cos x= Cos a , Tan x= Tan a.

UNIT 5: MATRICES AND DETERMINANTS (Marks: 03)

Matrices, concepts, notation, order, equality, types of matrices, Zero matrix, transpose of

matrix, Symmetric and skew symmetric matrices. Addition, multiplication, scaler

multiplication of matrices, simple properties of addition, multiplication and scaler

multiplication of matrices. Non-commutativity of multiplication of matrices and existence of

non-zero matrices whose product is the zero matrix (order 2x2). Concept of elementary row

and column operation, Invertible matrices and uniqueness of inverse, if it exists.(Matrices

with real entries).

Determinants of square matrix (upto 3x3 matrices) properties of determinants, minors,

cofactors and applications of determinants in finding area of a triangle. Adjoint and inverse

of a square matrix. Consistency, inconsistency and number of solutions of system of linear

equations by examples, solving system of linear equations in two or three variables.

UNIT 6: LIMIT, CONTINUITY AND DIFFERENTIATION (Marks: 06)

Concept of limit of a function. Theorems on Limits, Evaluation of limits using standard

results

1

Sinx

lim

x 0

→

,

x

n

x n

−

a

lim , lim

x−

→

a

x

a

𝑥→0

𝑥

, lim

𝑥→∞

lim

𝑥→0(1 + 𝑥)1/𝑥

, lim

𝑥→0

1

, lim

𝑥

𝑥→∞ (1 + 1

𝑥)𝑥

log⁡(1 + 𝑥)

ex

, lim

𝑥→0

− 1

,

𝑥

𝑥

Continuity of a function at a point. Continuity of Sum, product and quotient of functions.

Derivative: definition of a derivative of a function, geometrical interpretation of the

derivative.

➢ Derivative of sum, difference, product and quotient of two or more functions.

➢ Derivative of algebraic and composite functions.

➢ Derivative of trigonometric and inverse trigonometric functions.

➢ Chain rule, derivative of implicit functions.

➢ Derivative of logarithmic and exponential functions.

➢ Logarithmic differentiation.

➢ Derivative of functions expressed in parametric forms.

Second order derivatives.

Application of Derivative: rate of change, increasing and decreasing functions, maxima and

minima (first derivative and second derivative test). Simple problems.

UNIT 7: INTEGRATION AND DIFFERENTIAL EQUATIONS (Marks: 05)

Integration as inverse process of differentiation. Integration of variety of functions by

Substitution, by parts, by partial fractions. Simple integrals of the type:

∫ 𝑑𝑥

𝑥2 ± 𝑎2 , ∫ 𝑑𝑥

√𝑥2 ± 𝑎2⁡, ∫ 𝑑𝑥

√𝑎2 − 𝑥2⁡,⁡⁡

∫ 𝑑𝑥

𝑎𝑥2 + 𝑏𝑥 + 𝑐

, ∫ 𝑑𝑥

√𝑎𝑥2 + 𝑏𝑥 + 𝑐

∫ √𝑎2 ± 𝑥2

⁡. 𝑑𝑥, ∫ √𝑥2 − 𝑎2

Definite integrals as a Limit of a sum. Fundamental Theorem of calculus. Basic properties of

definite integrals Evaluation of definite integrals.

Application of integrals: Application in finding the area under simple curves, especially lines.

Areas of circles, parabolas and ellipses (in standard form) .

Differential Equations: Definition, order and degree of a differential equation. General and

particular solutions of a differential equation, solution of differentiation equation by method

of separation of variables. Solution of Homogeneous differential equation of first order and

first degree. Solution of linear differential equation of the type:

𝑑𝑦

𝑑𝑥 + ⁡𝑝𝑦 = 𝑞, where p and q are functions of x alone and

𝑑𝑥

𝑑𝑦 + ⁡𝑝𝑥 = 𝑞, where p and q are functions of y alone.

UNIT 8: STRAIGHT LINES AND CONIC SECTIONS (Marks: 04)

, ∫ (𝑝𝑥 + 𝑞)

𝑎𝑥2 + 𝑏𝑥 + 𝑐

𝑑𝑥 , ∫ (𝑝𝑥 + 𝑞)

√𝑎𝑥2 + 𝑏𝑥 + 𝑐

𝑑𝑥⁡,

⁡. 𝑑𝑥,

Distance between two points, section, slope of a line, angle between two lines, various

forms of equations of lines, point-slope form, intercept form, two point form. Distance of a

point from a line. Conic Section: Sections of a cone, circles, parabola, ellipse, hyperbola, a

point, a straight line and a pair of intersecting lines as a degenerated case of conic section.

Standard equation of a circle, parabola, ellipse, and hyperbola and their simple properties.

UNIT 9: STATISTICS AND PROBABILITY (Marks: 03)

STATISTICS Measure of dispersion, Range, mean, deviation, variance and standard deviation

of ungrouped/ grouped data.

PROBABILITY :Random Experiment: outcome, sample spaces.

Events: Mutually exclusive and exhaustive events. Axiomatic (set theoretic) probability,

probability of an event, probability of “Not” and “Or” events. Multiplication theorem on

probability, conditional probability, independent events, total probability, Baye’s theorem,

random variable and its probability, distribution, mean of a random variable.

UNIT 10: VECTORS AND THREE DIMENSIONAL GEOMETRY (Marks: 02)

Vectors and scalars, magnitude and direction of a vector Direction Cosines and ratios of a

vector. Types of vector, equal, zero, unit, parallel and collinear vectors. Position vector of a

point , negative of a vector, components of a vector, addition of vectors, Scalar

multiplication, position vector of a point dividing a line segment in a given ratio. Scalar (dot)

product of vectors, Vector (cross) product of vectors.

STRAIGHT LINES AND SPACE Coordinate Axis and Coordinate Planes in three dimension,

coordinate of point, distance between two points. Direction cosines and direction ratios of a

line joining two points. Cartesian and vector equation of a line and skew-lines, shortest

distance between two lines. Angle between two lines.