Physics Syllabus
Unit 1: Units and
Measurement
Units for measurement, system of units-S.I., fundamental and
derived units. Dimensions and their applications
Unit 2: Description of
Motion in One Dimension
Motion in a straight line, uniform and non-uniform motion,
their graphical representation. Uniformly accelerated motion, and its
application.
Unit 3: Description of
Motion in Two and Three Dimensions
Scalars and vectors, vector addition, a real number, zero
vector and its properties. Resolution of vectors. Scalar and vector products,
uniform circular motion and its applications projectile motion.
Unit 4: Laws of
Motion
Force and inertia-Newton’s Laws of Motion. Conservation of
linear momentum and its applications, rocket propulsion, friction-laws of
friction.
Unit 5: Work, Energy
and Power
Concept of work, energy and power. Energy Kinetic and
potential. Conservation of energy and its applications, Elastic collisions in
one and two dimensions. Different forms of energy
Unit 6: Rotational
Motion and Moment of Inertia
Centre of mass of a two-particle system. Centre of mass of a
rigid body, general motion of a rigid body, nature of rotational motion,
torque, angular momentum, its conservation and applications. Moment of inertia,
parallel and perpendicular axes theorem, expression of moment of inertia for
ring, disc and sphere.
Unit 7:
Gravitation
Acceleration due to gravity, one and two dimensional motion
under gravity. Universal law of gravitation, variation in the acceleration due
to gravity of the earth. Planetary motion, Kepler’s laws, artificial
satellite-geostationary satellite, gravitational potential energy near the
surface of earth, gravitational potential and escape velocity.
Unit 8: Solids and
Fluids
Inter-atomic and Inter-molecular forces, states of
matter.
(A) Solids: Elastic properties, Hook’s law, Young’s modulus,
bulk modulus, modulus of rigidity.
(B) Liquids: Cohesion and adhesion. Surface energy and
surface tension. Flow of fluids, Bernoulli’s theorem and its applications.
Viscosity, Stoke’s Law, terminal velocity.
Unit 9:
Oscillations
Periodic motion, simple harmonic motion and its equation of
motion, energy in S.H.M., Oscillations of a spring and simple pendulum.
Unit 10: Waves
Wave motion, speed of a wave, longitudinal and transverse
waves, superposition of waves, progressive and standing waves, free and forced
Oscillations, resonance, vibration of strings and air-columns, beats, Doppler
effects.
Unit 11: Heat and
Thermodynamics
Thermal expansion of solids, liquids and gases and their
specific heats, Relationship between Cp and Cv for gases, first law of
thermodynamics, thermodynamic processes. Second law of thermodynamics, the
Carnot cycle efficiency of heat engines.
Unit 12: Transference
of Heat
Modes of transference of heat. Thermal conductivity. Black
body radiations, Kirchoff’s Law, Wien’s law, Stefan’s law of radiation and
Newton’s law of cooling.
Unit 13:
Electrostatics
Electric charge-its unit and conservation, Coulomb’s law,
dielectric constant, electric field, lines of force, field due to dipole and
its behaviour in a uniform electric field, electric flux, Gauss’s theorem and
its applications. Electric potential, potential due to a point charge.
Conductors and insulators, distribution of charge on conductors. Capacitance,
parallel plate capacitor, combination of capacitors, energy of capacitor.
Unit 14: Current
Electricity
Electric current and its unit, sources of energy,
cells-primary and secondary, grouping of cells resistance of different
materials, temperature dependence, specific resistivity, Ohm’s law, Kirchoff’s
law, series and parallel circuits. Wheatstone Bridge with their applications
and potentiometer with their applications.
Unit 15: Thermal and
Chemical Effects of Currents
Heating effects of current, electric power, simple concept of
thermo-electricity- Seeback effect and thermocouple, Chemical effect of
currentFaraday’s laws of electrolysis
Unit 16: Magnetic
Effects of Currents
Oersted’s experiment, Bio-Savert’s law, magnetic filed due to
straight wire, circular loop and solenoid, force on a moving charge in a
uniform magnetic field ( Lorentz force), force and torques on currents in a
magnetic field, force between two current carrying wires, moving coil
galvanometer and conversion to ammeter and voltmeter.
Unit 17: Magneto
Statics
Bar magnet, magnetic field, lines of force, torque on a bar
magnet in a magnetic field, earth’s magnetic field, para, dia and ferro
magnetism, magnetic induction, magnetic susceptibility.
Unit 18:
Electromagnetic Induction and Alternating Currents
Induced e.m.f., Faraday’s Law, Lenz’s Law, Self and Mutual
Inductance, alternating currents, impedance and reactance, power in a.c.
Circuits with L.C. And R Series Combination, resonant circuits. Transformer and
A.C. generator.
Unit 19: Ray
Optics
Reflection and refraction of light at plane and curved
surfaces, total internal reflection, optical fibre; deviation and dispersion of
light by a prism; Lens formula, magnification and resolving power, microscope
and telescope.
Unit 20: Wave
Optics
Wave nature of light; Interference- Young’s double slit
experiment. Diffraction-diffraction due to a single slit. Elementary idea of
polarization.
Unit 21:
Electromagnetic Waves
Electromagnetic waves and their characteristics,
Electromagnetic wave spectrum from gamma to radio waves-propagation of EM waves
in atmosphere.
Unit 22: Electron and
Photons
Charge on an electron, e/m for an electron, photoelectric
effect and Einstein’s equation of photoelectric effect.
Unit 23: Atoms,
Molecules and Nuclei
Alpha particles scattering experiment, Atomic masses, size of
the nucleus; radioactivity; Alpha, beta and gamma particles/rays and their
properties, radioactive decay law, half-life and mean life of radio-active
nuclei, binding energy, mass energy relationship, nuclear fission and nuclear
fusion.
Unit 24: Solids and
Semi-Conductors Devices
Energy bands in solids, conductors, insulators and
semi-conductors, pn junction, diodes, diode as rectifier, transistor action,
transistor as an amplifier.
Chemistry syllabus
Unit 1: Some Basic Concepts
Measurement in chemistry (Precision,
significant figures, S.I. units, Dimensional analysis). Laws of chemical
combination. Atomic Mass, Molecular Mass, mole concept, Molar Mass,
determination of Molecular formula. Chemical equation, stoichiometry of Chemical
reactions.
Unit 2 : States of Matter
Gaseous state, measurable properties
of gases, Boyle’s Law, Charle’s Law and absolute scale of temperature,
Avogadro’s hypothesis, ideal gas equation, Dalton’s law of partial
pressures.
Kinetic molecular theory of gases
(the microscopic model of gas), deviation form ideal behaviour.
The solid state (classification of
solids, X-ray studies of crystal lattices and unit cells, packing of
constituent particles in crystals). Imperfection in solids, electrical, magnetic
and dielectic properties of solids. Liquid state (Properties of liquids, Vapour
pressure, Surface tension, Viscosity).
Unit 3: Atomic Structure
Constituents of the atom (discovery
of electron, rutherford model of the atom). Electronics structure of
atoms-nature of light and electromagnetic waves, atomic spectra, bohr’s model
of hydrogen, shortcomings of the bohr model. Dual nature of matter and radiation.
de-Broglie relation. The uncertainty principle, Quantum Mechanical Model of the
atom, Orbitals and Quantum numbers. Shapes of orbitals. Aufbau principle, Pauli
Exclusion principle, Hund’s Rule, Electronics Configuration of atoms.
Unit 4: Solutions
Types of solutions, Units of
concentration, Vapour-pressure of solutions and Raoult’s law. Colligative
properties. Determination of molecular mass. Non-ideal solutions and abnormal
molecular masses. Volumetric analysis-concentration unit.
Unit 5: Chemical Energetics and Thermodynamics
Energy changes during a chemical
reaction, Internal energy and Enthalpy, Internal energy and Enthalpy changes,
Origin of Enthalpy change in a reaction, Hess’s Law of constant heat summation,
numericals based on these concepts. Enthalpies of reactions (Enthalpy of
neutralization, Enthalpy of combustion, Enthalpy of fusion and
vaporization).
Sources of energy (conservation of
energy sources and identification of alternative sources, pollution associated
with consumption of fuels. The sun as the primary source).
First law of thermodynamics; Relation
between Internal energy and Enthalpy, application of first law of
thermodynamics. Second law of thermodynamics: Entropy, Gibbs energy,
Spontaneity of a chemical reaction, Gibbs energy change and chemical
equilibrium, Gibbs energy available for useful work.
Unit 6: Chemical Equilibrium
Equilibria involving physical changes
(solidliquid, liquid-gas equilibrium involving dissolution of solids in
liquids, gases in liquids, general characteristics of equilibrium involving
physical processes)
Equilibria involving chemical systems
(the law of chemical equilibrium, the magnitude of the equilibrium constant,
numerical problems).
Effect of changing conditions of
systems at equilibrium (change of concentration, change of temperature, effect
of catalyst-Le Chateliar’s principle).
Equilibria involving ions- ionization
of electrolytes, weak and strong electrolytes, acidbase equilibrium, various
concepts of acids and bases, ionization of water, pH scale, solubility product,
numericals based on these concepts.
Unit 7: Redox Reactions and Electrochemistry
Oxidation and reduction as an
electron transfer concept. Redox reactions in aqueous solutions electrochemical
cells. e.m.f. of a galvanic cell. Dependence of e.m.f. on concentration and
temperature (NERNST). equation and numerical problems based on it.
Electrolysis, Oxidation number (rules for assigning oxidation number, redox
reactions in terms of oxidation number, nomenclature). Balancing of
oxidation-reduction equations.
Electrolytic conduction. Molar
conductivity, Kohlrausch’s Law and its applications, Voltaic cell, Electrode
potential and Electromotive force, Gibb’s energy change and cell potential.
Electrode potential and products of electrolysis, Fuel cells, corrosion and its
prevention.
Unit 8: Rates of Chemical Reactions and Chemical Kinetics
Rate of reaction, Instantaneous rate
of reaction and order of reaction. Factors affecting rates of reactions-
factors affecting rate of collisions encountered between the reactant
molecules, effect of temperature on the reaction rate, concept of activation
energy catalyst. Effect of light of rates of reactions. Elementary reactions as
steps to more complex reactions. How fast are chemical reactions?
Rate law expression. Order of a
reaction (with suitable examples). Units of rates and specific rate constant.
Order of reaction and effect of concentration (study will be confined to first
order only). Temperature dependence of rate constant – Fast reactions (only
elementary idea). Mechanism of reaction (only elementary idea). Photochemical
reactions.
Unit 9: Surface Chemistry
Surface: Adsorption – physical and
chemical adsorption, adsorption isotherms.
Colloids-Preparation and general
properties, Emulsions, Micelles.
Catalysis: Homogeneous and
heterogeneous, structure of catalyst, Enzymes, Zeolites.
Unit 10: Chemical Families Periodic Properties
Modern periodic law, Types of
elements – Representatives elements (s & p block, Transition elements –
d-block elements, inner transition elements-f-block elements. Periodic trends
in properties-ionization enthalpy, electron gain enthalpy, atomic radii,
valence, periodicity in properties of compounds).
Unit 11: Chemical Bonding and Molecular Structure
Chemical bonds and Lewis structure,
shapes of molecules (VSEPR theory), Quantum theory of the covalent bond,
hydrogen and some other simple molecules, carbon compounds, hybridization,
Boron and Beryllium compounds.
Coordinate covalent bond, ionic bond
as an extreme case of polar covalent bond, ionic character of molecules and
polar molecules. Bonding in solid state ionic, molecular and covalent solids,
metals. Hydrogen bond, Resonance.
Molecules: Molecular orbital.
Theory-bond order and magnetic properties of H2,O2,N2,F2 on the basis of MOT.
Hybridisation involving s, p and d orbitals (including shapes of simple organic
molecules), Dipole moment and structure of molecules
Unit 12: Chemistry of Non-Metals - 1
Hydrogen (unique position in periodic
table, occurrence, isotopes, properties, reactions and uses),
Hydrides-molecular, soline and interstitial
Oxygen (occurrence, preparation,
properties and reactions, uses),simple oxides; ozone
Water and hydrogen peroxide,
structure of water molecule and its aggregates, physical and chemical
properties of water, hard and soft water, water softening, hydrogen peroxide
preparation, properties, structure and uses.
Nitrogen- Preparation, properties,
uses, compounds of Nitrogen-Ammonia, Oxides of Nitrogen, Nitric
Acid-preparation, properties and uses.
Unit 13: Chemistry of Non-metals-II
Boron-occurrence, isolation, physical
and chemical properties, borax and boric acid, uses of boron and its
compounds.
Carbon, inorganic compounds of
carbon-oxides, halides, carbides, elemental carbon.
Silicon- occurrence, preparation and
properties, oxides and oxyacids of phosphorus, chemical fertilizers.
Sulphur – occurrence and extraction,
properties and reactions, oxides, Sulphuric acid – preparation, properties and
uses, sodium thiosulphate.
Halogens- occurrence, preparation,
properties, hydrogen halides, uses of halogens.
Noble gases- discovery, occurrence
and isolation, physical properties, chemistry of noble gases and their uses.
Unit 14: Chemistry of Lighter Metals
Sodium and Potassium- occurrence and
extraction, properties and uses. Important compounds-NaCl, Na2CO3, NaHCO3,
NaOH, KCI, KOH.
Magnesium and calcium-occurrence and
extraction, properties and uses. Important compounds Mgcl2, MgSO4, CaO,
Ca(OH)2,CaCO3, CaSO4, Plaster of paris, Bleaching Powder.
Aluminium – occurrence, extraction
properties and uses, compounds-AlCI3, alums.
Cement. Biological role of Sodium,
Potassium, Magnesium and Calcium.
Unit 15:- Heavy Metals
Iron – Occurrence and extraction,
compounds of iron, oxides, halides, sulphides, sulphate, alloy and steel.
Copper and Silver- occurrence and
extraction, properties and uses, compounds-sulphides, halides and sulphates,
photography.
Zinc and Mercury- occurrence and
extraction, properties and uses, compounds-oxides, halides; sulphides and
sulphates.
Tin and Lead- occurrence and
extraction, properties and uses, compounds-oxides, sulphides, halides.
Unit 16: Chemistry of Representative Elements
Periodic properties- Trends in groups
and periods (a) Oxides-nature (b) Halides-melting points (c) Carbonates and
sulphates-solubility.
The chemistry of s and p block
elements, electronics configuration, general characteristic properties and
oxidation states of the following:-
Group 1 elements - Alkali
metals
Group 2 elements - Alkaline earth
metals
Group 13 elements - Boron
family
Group 14 elements - Carbon
family
Group 15 elements - Nitrogen
family
Group 16 elements - Oxygen
family
Group 17 elements - Halogen
family
Group 18 elements - Noble gases &
Hydrogen
Unit 17: Transition Metals Including Lanthanides
Electronic configuration: General
characteristic properties, oxidation states of transition metals. First row
transition metals and general properties of their compounds-oxides, halides and
sulphides.
General properties of a second and
third row transition elements (Groupwise discussion).
Preparation and reactions, properties
and uses of Potassium dichromate Potassium permanganate.
Inner Transition Elements: General
discussion with special reference to oxidation states and lanthanide
contraction
Unit 18: Coordination Chemistry and Organo Metallics
Coordination compounds, Nomenclature:
Isomerism in coordination compounds; Bonding 16 in coordination compounds,
Werner’s coordination theory. Applications of coordination compounds.
Unit 19: Nuclear Chemistry
Nature of radiation from radioactive
substances. Nuclear reactions; Radio-active disintegration series; Artificial
transmutation of elements; Nuclear fission and Nuclear fusion: Isotopes and
their applications: Radio carbon-dating.
Unit 20: Purification and Characterization of Organic Compounds
Purification (crystallization,
sublimation, distillation, differential extraction, chromatography).
Qualitative analysis, detection of
nitrogen, sulphur, phosphorus and halogens.
Quantitative analysis- estimation of
carbon, hydrogen, nitrogen, halogens, sulphur, phosphorus ( basic principles
only)
Determination of molecular
mass-Silver salt method, chloroplatinate salt method
Calculation of empirical formula and
molecular formula.
Numerical problems in organic
quantitative analysis, modern methods of structure elucidation.
Unit 21: Some Basic Principles
Classification of Organic
Compounds.
Tetravalency of Carbon, Homologous
series. Functional groups- - C=C-,-C C-, and groups containing halogen, oxygen,
nitrogen and sulphur. General introduction to naming organic compounds-Common
names and IUPAC nomenclature of alphatic, aromatic and Cyclic Compounds.
Illustration with examples of Compounds having not more than three same of
different functional groups/ atoms. Isomerism Structural and stereoisomerism
(geometrical and optical). Chirality-Isomerism in Compounds having one and two
chiral Centres. Enantiomers, Di stereoisomers, racemic forms, racemization
& resolution. Covalent bond fission-Homolytic and Heterolytic: free
radicals carbocations and carbanions. Stability of Carbocations and free
radicals. Electrophiles and Nucleophiles. Electron displacement in a covalent
bond inductive effect, electrometric effect, resonance Common types of organic
reactions Substitution, addition, elimination and rearrangement reactions.
Illustration with examples.
Unit 22: Hydrocarbons
Classification. Sources of
hydrocarbons:
Alkanes- General methods of
preparation (from unsaturated hydrocarbons, alkylhalides, aldehydes, ketones
and carboxylic acids). Physical properties and reactions (Substitution),
Oxidation and miscellaneous). Conformations of alkanes (ethane, popane butane)
and cyclohexane, sawhorse and Newman projections)-mechanism of halogenations of
alkanes.
Alkanes and Alkynes- General methods
of preparation physical properties, Chemical reactions-Mechanism of
electrophilic addition reactions in alkenes-Markowni Koff’s Rule, peroxide
effect. Acidic character of alkynes. Polymerization of alkenes.
Aromatic hydrocarbons- Benzene and
its homologues, Isomerism, Chemical reactions of benzene. Structure of benzene,
resonance. Directive influence of substituents.
Petroleum – Hydro Carbons from
Petroleum, Cracking and reforming, quality of gasoline Octane number, gasoline
additives.
Unit 23: Organic Compound Containing Halogens
(Haloakanes and Haloarenes) Methods
of preparation, physical properties and reactions. Preparation, properties and
uses of Chloroform and lodoform.
Unit 24 : Organic Compounds Containing Oxygen
General methods of preparation,
correlation of physical properties with their structures, chemical properties
and uses of Alchols, polyhydric alcohols, Ethers, aldehydes, ketones, 17
carboxylic acids and their derivatives, Phenol, Benzaldehyde and Benzoic acid
-their important methods of preparation and reactions. Acidity of carboxylic
acids and phenol effect of substituents on the acidity of carboxylic
acids.
Unit 25: Organic Compounds Containing Nitrogen
(Cyanides, isocyanides,
nitrocompounds and amines)
Nomenclature and classification of
amines, cyanides, isocyanides, nitro compounds and their methods of
preparation; correlation of their physical properties with structure, chemical
reactions and uses- Basicity of amines.
Unit 26: Synthetic and Natural Polymers
Classification on Polymers, natural
and synthetic polymers (with stress on their general methods of preparation)
and important uses of the following.
Teflon, PVC, Polystyrene, Nylon-66,
terylene, Bakelite)
Unit 27: Bio Molecules and Biological Processes
The Cell and Energy Cycle
Carbohydrates: Monosaccharides,
Disaccharides, Polysaccharides
Amino acids and Peptides- Structure
and classification.
Proteins and Enzymes-Structure of
Proteins, Role of enzymes.
Nucleic Acids-DNA and RNA
Biological functions of Nucleic
acids-Protein synthesis and replication.
Lipids – Structure, membranes and
their functions.
Unit 28: Chemistry In Action
Dyes, Chemicals in medicines
(antipyretic, analgesic, antibiotics & tranquilisers), Rocket
propellants.
(Structural formulae
non-evaluative)
Unit 29: Environmental Chemistry
Environmental pollutants; soil, water
and air pollution; major atmospheric pollutants; acid rain, Ozone and its
reactions causing ozone layer depletion, effects of the depletion of ozone
layer, industrial air pollution.
Mathematics syllabus
Unit 1: - Sets, Relations and Functions
Sets and their Representations,
Union, intersection and complements of sets, and their algebraic properties,
Relations, equivalence relations, mappings, one-one, into and onto mappings,
composition of mappings.
Unit 2: Complex Numbers
Complex numbers in the form a+ib and
their representation in a plane. Argand diagram. Algebra of complex numbers,
Modulus and Argument (or amplitude) of a complex number, square root of a
complex number. Cube roots of unity, triangle inequality.
Unit 3: Matrices and Determinants
Determinants and matrices of order
two and three, properties of determinants, Evaluation of determinants. Area of
triangles using determinants; Addition and multiplication of matrices, adjoint
and inverse of matrix. Test of consistency and solution of simultaneous linear
equations using determinants and matrices.
Unit 4: Quadratic Equations
Quadratic equations in real and
complex number system and their solutions. Relation between roots and
co-efficient, nature of roots, formation of quadratic equations with given
roots; Symmetric functions of roots, equations 18 reducible to quadratic
equations-application to practical problems.
Unit 5 : Permutations and Combinations
Fundamental principle of counting;
Permutation as an arrangement and combination as selection, Meaning of P (n,r)
and C (n,r). Simple applications.
Unit 6: Binomial Theorem and Its Applications
Binomial Theorem for a positive
integral index; general term and middle term; Binomial
Theorem for any index. Properties of
Binomial Co-efficient. Simple applications for approximations.
Unit 7: Sequences and Series
Arithmetic, Geometric and Harmonic
progressions. Insertion of Arithmetic Geometric and Harmonic means between two
given numbers. Relation Between A.M., G.M. and H.M. Special series: Sn, Sn2,
Sn3 . Arithmetic Geometric Series, Exponential and Logarithmic series.
Unit 8: Differential Calculus
Polynomials, rational, trigonometric,
logarithmic and exponential functions, Inverse functions. Graphs of simple
functions. Limits, Continuity; differentiation of the sum, difference, product
and quotient of two functions: differentiation of trigonometric, inverse
trigonometric, logarithmic, exponential, composite and implicit functions;
derivatives of order upto two. Applications of derivatives: Rate of change of
quantities, monotonic-increasing and decreasing functions, Maxima and minima of
functions of one variable, tangents and normals, Rolle’s and Lagrange’s Mean
Value Theorems.
Unit 9: - Integral Calculus
Integral as an anti-derivative.
Fundamental integrals involving algebraic, trigonometric, exponential and
logarithmic functions. Integration by substitution, by parts and partial
fractions. Integration using trigonometric identities. Integral as limit of a
sum. Properties of definite integrals. Evaluation of definite integrals;
Determining areas of the regions bounded by simple curves.
Unit 10: - Differential Equations
Ordinary differential equations,
their order and degree. Formation of differential equations. Solution of
differential equations by the method of separation of variables. Solution of
homogeneous and linear differential equations, and those of the type
d2y/dx2 = f(x)
Unit 11: - Two-Dimensional Geometry
Recall of Cartesian system of
rectangular coordinates in a plane, distance formula, area of a triangle,
condition of the collinearity of three points and section formula, centroid and
incentre of a triangle, locus and its equation, translation of axes, slope of a
line, parallel and perpendicular lines, intercepts of a line on the coordinate
axes.
The straight line and pair of
straight lines
Various forms of equations of a line,
intersection of line, angles between two lines, conditions for concurrence of three
lines, distance of a point from a line Equations of internal and external
bisectors of angles between two lines, coordinates of centroid, orthocenter and
circumcenter of a triangle, equation of family of lines passing through the
point of intersection of two lines, homogeneous equation of second degree in x
and y, angle between pair of lines through the origin, combined equation of the
bisectors of the angles between a pair of lines, condition for the general
second degree equation to a represent a pair of lines, point of intersection
and angle between two lines.
Circles and Family of Circles
Standard form of equation of a
circle, general form of the equation of a circle, its radius and centre,
equation of a circle in the parametric form, equation of a circle when the end
points of a diameter are given, points of intersection of a 19 line and a
circle with the centre at the origin and conditions for a line to be tangent to
the circle, length of the tangent, equation of the tangent, equation of a family
of circles through the intersection of two circles, condition for two
intersecting circles to be orthogonal.
Conic Sections
Sections of cones, equations of conic
sections (parabola, ellipse and hyperbola) in standard forms, condition for y =
mx+c to be a tangent and point (s) of tangency
Unit 12: Three-Dimensional Geometry
Coordinates of a point in space,
distance between two points; Section formula, direction ratios and direction
cosines, angle between two intersecting lines. Skew lines, the shortest
distance between them and its equation. Equations of a line and a plane in
different forms; intersection of a line and a plane, coplanar lines, equation
of a sphere, its centre and radius. Diameter form of the equation of a
sphere.
Unit 13: Vector Algebra
Vectors and Scalars, addition of
vectors, components of a vector in two dimensions and three-dimensional space,
scalar and vector products, scalar and vector triple product. Application of
vectors to plane geometry.
Unit 14: Measures of Central Tendency and Dispersion
Calculation of Mean, median and mode
of grouped and ungrouped data. Calculation of standard deviation, variance and
mean deviation for grouped and ungrouped data.
Unit 15: Probability
Probability of an event, addition and
multiplication theorems of probability and their application; Conditional
probability; Bayes’ Theorem, probability distribution of a random variate;
Binomial and Poisson distributions and their properties.
Unit 16: Trigonometry
Trigonometrical identities and
equations. Inverse trigonometric functions and their properties. Properties of
triangles, including centroid, incentre, circum-centre and orthocenter,
solution of triangles. Heights and Distances.
syllabus link - https://kiitee.kiit.ac.in/test-syllabus/
