# NDA Syllabus 2018, General Ability Test Syllabus & Mathematics

## NDA Syllabus 2018, General Ability Test Syllabus & Mathematics

NDA Syllabus 2018: NDA syllabus 2018 includes of arithmetic & General Ability sections. National Defence Academy (NDA) is that the Joint Services academy of the Indian defense force. The UPSC (Union Public Service Commission) conducts a national level test known as as NDA exam. This examination is command for the candidates those who wish to join Indian Defence Forces (Army, Navy & Air Force). Each year several aspirants step to the fore to require this examination. NDA Examination are organized twice during a year. Here, we’ve updated the whole data regarding NDA 2018 course of study. NDA Syllabus 2018……

### NDA Syllabus 2018:

Before beginning NDA preparation, it’s necessary to introduce yourself with the information from wherever the queries are raised. The NDA examination pattern includes of arithmetic subject and General Ability. Below we’ve got mentioned the detailed UPSC NDA information 2018.

### MATHEMATICS SYLLABUS:

NDA Syllabus 2018: The syllabus of mathematics paper consist of the given topics & chapters:

**ALGEBRA**: Complex numbers – basic properties, modulus, Conversion of a number in decimal system to binary system and vice-versa, Arithmetic, argument, cube roots of unity, Geometric and Harmonic progressions, Solution of linear inequations of two variables by graphs, Representation of real numbers on a line, Binary system of numbers, Binomial theorem and its application, Quadratic equations with real coefficients, Permutation and Combination, Logarithms and their applications.

**TRIGONOMETRY**: Trigonometrical ratios,properties of triangles, Angles and their measures in degrees and in radians, Inverse trigonometric functions, Trigonometric identities Sum and difference formulae, Applications – Height and distance, Multiple and Sub-multiple angles.

**VECTOR ALGEBRA**: Vectors in two and three dimensions, scalar multiplication of vector, scalar product or dot product of two-vectors, Applications-work done by a force and moment of a force, and in geometrical problems, magnitude and direction of a vector, Unit and null vectors, addition of vectors, Vector product and cross product of two vectors.

**DIFFERENTIAL CALCULUS**: Composite functions, one to one, onto and inverse functions, geometrical and physical interpretation of a derivative – applications, increasing and decreasing functions, Continuity of functions – examples, algebraic operations on continuous functions, Application of derivatives in problems of maxima and minima, Concept of a real valued function – domain, range and graph of a function, Notion of limit, Standard limits – examples, geometrical and physical interpretation of a derivative – applications, Derivative of a function at a point, Derivatives of sum, product and quotient of functions, derivative of a function with respect of another function, derivative of a composite function and Second order derivatives.

**MATRICES & DETERMINANTS**: Types of Matrices, Determinant of a matrix, adjoin and inverse of a square matrix, operations on matrices, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method, basic properties of determinant.

**INTEGRAL CALCULUS & DIFFERENTIAL EQUATIONS**: Integration by substitution and by parts, trigonometric, Definition of order and degree of a differential equation, formation of a differential equation by examples, exponential and hyperbolic functions, solution of first order and first degree differential equations of various types – examples, standard integrals involving algebraic expressions, Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications, General and particular solution of a differential equation, Integration as inverse of differentiation, Application in problems of growth and decay.

**STATISTICS**: Frequency distribution, Classification of data, cumulative frequency distribution – examples Graphical representation – Histogram, Measures of Central tendency – mean, median and mode, Pie Chart, Frequency Polygon – examples, Variance and standard deviation – determination and comparison, Correlation and regression.

**ANALYTICAL GEOMETRY OF TWO & THREE DIMENSIONS**: Point in a three-dimensional space, distance between two points, Equation of a plane and a line in various forms, Equation of a sphere, Direction Cosines and direction ratios, angle between two lines and angle between two planes.

Distance formula, Equation of a circle in standard and in general form, Ellipse and hyperbola, Angle between two lines, Rectangular Cartesian Coordinate system, Equation of a line in various forms, Standard forms of parabola, Distance of a point from a line, Eccentricity and axis of a conic.

**PROBABILITY**: outcomes and associated sample space, Binomial distribution, Random experiment, examples of random experiments giving rise to Binominal distribution, events, mutually exclusive and exhaustive events, Bayes’ theorem – simple problems, impossible and certain events, Complementary, elementary and composite events, Union and Intersection of events, Definition of probability – classical and statistical – examples, Conditional probability, Random variable as function on a sample space, Elementary theorems on probability – simple problems, Binomial distribution, examples of random experiments giving rise to Binominal distribution.

### General Ability Syllabus:

**NDA Syllabus 2018: The syllabus of mathematics paper consist of the given topics & chapters:**

### Section 1 – English:

The syllabus of the English covers the topics like Grammar & usage, Vocabulary, Comprehension & Cohesion to test the applicant’s proficiency in English.

### Section 2 – General Knowledge:

The paper consist of general knowledge and covers the subjects such as Chemistry, Physics, Social Studies, General Science, Geography & Current Affairs.

**PHYSICS:**

Newton’s Laws of Motion, Force and Momentum, Motion of objects, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Velocity and Acceleration, Power and Energy, Properties of a Magnet, Earth as a Magnet, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Sound waves and their properties, Simple musical instruments, Natural and Artificial Magnets, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses, Simple Pendulum.

Simple Pulleys, Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer, Effects of Heat, change of State and Latent Heat, Modes of transference of Heat, Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses. Human Eye, Static and Current Electricity, Measurement of temperature and heat, 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.

**CHEMISTRY:**

Preparation and Properties of Nitrogen, Hydrogen, Oxygen & Carbon Di-oxide, Oxidation & Reduction, Material used in the preparation of substances like Glass, Soap, Paper, Ink, Cement, Paints, Safety Matches, Gunpowder, Carbon – different forms, Physical & Chemical changes. Symbols, Formulas and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water, Acids, bases and salts, Elements, Mixtures and Compounds, Fertilizers – Natural and Artificial, Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency.

**GENERAL SCIENCE:**

Basis of Life – Cells, Protoplasms and Tissues, Constituents of food, Balanced Diet, Achievements of Eminent Scientists, Difference between the living and non-living, Elementary knowledge of human Body and its important organs, Food – Source of Energy for man, Growth and Reproduction in Plants and Animals, Common Epidemics, their causes and prevention, The Solar System – Meteors and Comets, Eclipses.

**HISTORY:**

Freedom Movement in India, Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi, A broad survey of Indian History, with emphasis on Culture and Civilisation, Elementary knowledge of Five Year Plans of India, Elementary study of Indian Constitution and Administration, Panchayati Raj, 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, Co-operatives and Community Development, Role of India in the present world.

**GEOGRAPHY:**

Origin of Earth, Weathering – Mechanical and Chemical, Earthquakes and volcanoes, Atmosphere and its composition, Temperature and Atmospheric Pressure, Rocks and their classification, Planetary Winds, cyclones and Anti-cyclones, Humidity, Condensation and Precipitation, Major Natural regions of the World, Important Sea ports and main sea, land and air routes of India. Main items of Imports and Exports of India, Types of Climate, The Earth, its shape and size, Lattitudes and Longitudes, Concept of time, International Date Line, Movements of Earth and their effects, Ocean Currents and Tides, Regional Geography of India – Climate, Natural vegetation. Mineral and Power resources, location and distribution of agricultural and industrial activities.

**CURRENT AFFAIRS:**

Current necessary world events, information of necessary events that have happened in Republic of India within the recent years, outstanding personalities – each Indian and International as well as those connected with cultural activities and sports.

It is not required that the topics mentioned on top of can for sure are available in the examination. The question paper doesn’t stay consistent, it changes each year. it’s going to happen that the question paper can consists of the subject not mentioned here.