NDA Syllabus on NDA Syllabus for Preliminary Exam
this exam is conducted as −
- mathematics &
- general ability
mathematics & general ability syllabus
the following table illustrates the detailed syllabus −
| mathematics syllabus (paper i) | |
|---|---|
| algebra | concept of set |
| operations on sets | |
| venn diagrams | |
| de morgan laws | |
| cartesian product, relation, equivalence relation | |
| representation of real numbers on a line | |
| complex numbers—basic properties, modulus, argument, cube roots of unity | |
| binary system of numbers | |
| conversion of a number in decimal system to binary system and vice-versa | |
| arithmetic, geometric and harmonic progressions | |
| quadratic equations with real coefficients | |
| solution of linear in equations of two variables by graphs | |
| permutation and combination | |
| binomial theorem and its applications | |
| logarithms and their applications | |
| matrices & determinants | types of matrices, operations on matrices |
| determinant of a matrix, basic properties of determinants | |
| adjoint and inverse of a square matrix | |
| applications-solution of a system of linear equations in two or three unknowns by cramer’s rule and by matrix method | |
| trigonometry | angles and their measures in degrees and in radians |
| trigonometrical ratios | |
| trigonometric identities sum and difference formulae | |
| multiple and sub-multiple angles | |
| inverse trigonometric functions | |
| applications-height and distance, properties of triangles | |
| analytical geometry of two and three dimensions | rectangular cartesian coordinate system |
| distance formula | |
| equation of a line in various forms | |
| angle between two lines | |
| distance of a point from a line | |
| equation of a circle in standard and in general form | |
| standard forms of parabola, ellipse and hyperbola | |
| eccentricity and axis of a conic | |
| point in a three dimensional space, distance between two points | |
| direction cosines and direction ratios | |
| equation two points | |
| direction cosines and direction ratios | |
| equation of a plane and a line in various forms | |
| angle between two lines and angle between two planes | |
| equation of a sphere | |
| differential calculus | concept of a real valued function–domain, range and graph of a function |
| composite functions, one to one, onto and inverse functions | |
| notion of limit, standard limits—examples continuity of functions—examples, algebraic operations on continuous functions | |
| derivative of function at a point, geometrical and physical interpretation of a derivative— applications | |
| derivatives of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function | |
| second order derivatives. increasing and decreasing functions | |
| application of derivatives in problems of maxima and minima | |
| integral calculus & differential equations | integration as inverse of differentiation |
| integration by substitution and by parts | |
| standard integrals involving algebraic expressions | |
| trigonometric | |
| exponential | |
| hyperbolic functions | |
| evaluation of definite integrals—determination of areas of plane regions bounded by curves— applications | |
| definition of order and degree of a differential equation, formation of a differential equation by examples | |
| general and particular solution of a differential equations, solution of first order and first degree differential equations of various types—examples | |
| application in problems of growth and decay | |
| vector algebra | vectors in two and three dimensions |
| magnitude and direction of a vector | |
| unit and null vectors | |
| addition of vectors | |
| scalar multiplication of a vector | |
| scalar product or dot product of two vectors | |
| vector product or cross product of two vectors | |
| applications—work done by a force and moment of a force and in geometrical problems | |
| statistics | classification of data |
| frequency distribution | |
| cumulative frequency distribution—examples | |
| graphical representation—histogram, pie chart, frequency polygon—examples | |
| measures of central tendency—mean, median and mode | |
| variance and standard deviation—determination and comparison | |
| correlation and regression | |
| probability | random experiment |
| outcomes and associated sample space | |
| events | |
| mutually exclusive and exhaustive events | |
| impossible and certain events | |
| union and intersection of events | |
| complementary, elementary and composite events | |
| definition of probability—classical and statistical— examples | |
| elementary theorems on probability—simple problems | |
| conditional probability | |
| bayes’ theorem—simple problems | |
| random variable as function on a sample space | |
| binomial distribution | |
| examples of random experiments giving rise to binominal distribution | |
| general ability syllabus | |
| part ‘a’ (paper ii) | |
| english | grammar and usage |
| vocabulary | |
| comprehension and cohesion in extended text | |
| part ‘b’ general knowledge | |
| physics | physical properties and states of matter, mass, weight, volume, density and specific gravity, principle of archimedes, pressure barometer |
| motion of objects | |
| velocity and acceleration | |
| newton’s laws of motion | |
| force and momentum | |
| parallelogram of forces | |
| stability and equilibrium of bodies | |
| gravitation | |
| elementary ideas of work, power and energy | |
| effects of heat | |
| measurement of temperature and heat | |
| change of state and latent heat | |
| modes of transference of heat | |
| sound waves and their properties, simple musical instruments | |
| rectilinear propagation of light | |
| reflection and refraction | |
| spherical mirrors and lenses | |
| human eye | |
| natural and artificial magnets | |
| properties of a magnet | |
| earth as a magnet | |
| static and current electricity | |
| conductors and non-conductors | |
| ohm’s law | |
| simple electrical circuits | |
| heating | |
| lighting and magnetic effects of current | |
| measurement of electrical power | |
| primary and secondary cells | |
| use of x-rays | |
| general principles in the working of the following: simple pendulum, simple pulleys, siphon, levers, balloon, pumps, hydrometer, pressure cooker, thermos flask, gramophone, telegraphs, telephone, periscope, telescope, microscope, mariner’s compass; lightening conductors, safety fuses. | |
| chemistry | physical and chemical changes |
| elements | |
| mixtures and compounds | |
| symbols | |
| formulae and simple chemical equations | |
| law of chemical combination (excluding problems) | |
| properties of air and water | |
| preparation and properties of hydrogen, oxygen, nitrogen and carbon dioxide | |
| oxidation and reduction | |
| acids, bases and salts | |
| carbon—different forms | |
| fertilizers—natural and artificial | |
| material used in the preparation of substances like soap, glass, ink, paper, cement, paints, safety matches and gun-powder | |
| elementary ideas about the structure of atom, atomic equivalent and molecular weights, valency | |
| general science | difference between the living and non-livin |
| basis of life—cells, protoplasm and tissues | |
| growth and reproduction in plants and animals | |
| elementary knowledge of human body and its important organs | |
| common epidemics, their causes and prevention | |
| food—source of energy for man | |
| constituents of food | |
| balanced diet | |
| the solar system—meteors and comets, eclipses | |
| achievements of eminent scientists | |
| history, freedom movement | a broad survey of indian history, with emphasis on culture and civilization |
| freedom movement in india | |
| elementary study of indian constitution and administration | |
| elementary knowledge of five year plans of india | |
| panchayati raj, co-operatives and community development | |
| bhoodan, sarvodaya, national integration and welfare state, basic teachings of mahatma gandhi | |
| forces shaping the modern world | |
| renaissance, exploration and discovery | |
| war of american independence | |
| french revolution, industrial revolution and russian revolution | |
| impact of science and technology on society | |
| concept of one world united nations, panchsheel, democracy, socialism and communism | |
| role of india in the present world | |
| geography | the earth, its shape and size |
| latitudes and longitudes | |
| concept of time | |
| international date line | |
| movements of earth and their effects | |
| origin of earth | |
| rocks and their classification | |
| weathering—mechanical and chemical | |
| earthquakes and volcanoes | |
| ocean currents and tides | |
| atmosphere and its composition | |
| temperature and atmospheric pressure | |
| planetary winds | |
| cyclones and anti-cyclones | |
| humidity, condensation and precipitation | |
| types of climate | |
| major natural regions of the world | |
| regional geography of india—climate, natural vegetation | |
| mineral and power resources | |
| location and distribution of agricultural and industrial activities | |
| important sea ports and main sea | |
| land and air routes of india | |
| main items of imports and exports of india | |
| current events | current national events |
| current world events | |
| prominent personalities—both indian and international | |
| current cultural activities | |
| sports | |
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