**NDA Syllabus 2017**

**NDA Syllabus** 2017 has been disclosed by the National Defence Academy for the students who applied for the exam. Aspirants NDA exam is to be held in the month of April and September, 2017.

To give the exam candidates need syllabus of the exam. So here is the syllabus for the visitors of the sarkarinaukrikhabar.in who applied for the NDA exam. You may download the syllabus from the official website of the NDA.

For detailed NDA syllabus 2017 contenders have to study the next segment of the page which is specially designed by our team where you get the syllabus topic wise.

**NDA Maths Syllabus**

**Algebra**

- Arithmetic, Geometric and Harmonic progressions
- Binary system of numbers
- Binomial theorem and its application
- Cartesian product, relation, equivalence relation
- Complex numbers – basic properties, modulus, argument and cube roots of unity
- Concept of set, operations on sets, Venn diagrams
- Conversion of a number in decimal system to binary system and vice-versa
- De Morgan laws
- Logarithms and their applications.
- Permutation and Combination
- Quadratic equations with real coefficients
- Representation of real numbers on a line
- Solution of linear in equations of two variables by graphs

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**Statistics and Probability**

Statistics:

- Classification of data, Frequency distribution, cumulative frequency distribution – examples
- Correlation and regression
- Graphical representation – Histogram, Pie Chart, Frequency Polygon – examples
- Measures of Central tendency – Mean, Median and Mode
- Variance and standard deviation – determination and comparison

**Probability:**

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

**Matrices and 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.
- Determinant of a matrix, basic properties of determinants
- Types of matrices, operations on matrices

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**Vector Algebra**

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

**Differential Calculus**

- Application of derivatives in problems of maxima and minima
- Composite functions, one to one, onto and inverse functions
- Concept of a real valued function – domain, range and graph of a function
- 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 of another function, derivative of a composite function
- Notion of limit, Standard limits – examples
- Second order derivatives. Increasing and decreasing functions

**Integral Calculus and Differential Equations**

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

**Trigonometry**

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

**Analytical Geometry of two and three dimensions:**

- Angle between two lines
- Angle between two lines and angle between two planes
- Direction Cosines and direction ratios
- Distance formula
- Distance of a point from a line
- Eccentricity and axis of a conic
- Equation of a circle in standard and in general form
- Equation of a line in various forms
- Equation of a plane and a line in various forms
- Equation of a sphere
- Point in a three dimensional space, distance between two points
- Rectangular Cartesian Coordinate system
- Standard forms of parabola, ellipse and hyperbola

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**NDA General Ability Test Syllabus**

**Part A – English**

- Comprehension and cohesion in extended text to test the candidate’s proficiency in English
- Grammar and usage
- Vocabulary

**Part B – General Knowledge**

**Section A: Physics**

- 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.
- 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.
- 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.
- Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet.
- Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer.
- Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses. Human Eye.
- 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.

**Section B: Chemistry**

- Acids, bases and salts.
- Carbon – different forms.
- Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency.
- Fertilizers – Natural and Artificial
- Material used in the preparation of substances like soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gun-Powder.
- 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 Carbondioxide, Oxidation and Reduction.

**Section C: General Science**

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

**Section D: History, Freedom Movement, etc.**

- A broad survey of Indian History, with emphasis on Culture and Civilisation
- Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi
- Concept of one World, United Nations, Panchsheel, Democracy.
- Elementary knowledge of Five Year Plans of India
- Elementary study of Indian Constitution and Administration
- Forces shaping the modern world; Renaissance, Exploration and Discovery; War of American Independence. French Revolution, Industrial Revolution and Russian Revolution.
- Freedom Movement in India
- Impact of Science and Technology on Society.
- Panchayati Raj, Co-operatives and Community Development
- Role of India in the present world.
- Socialism and Communism.

**Section E: Geography**

- 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.
- Important Sea ports and main sea, land and air routes of India.
- Main items of Imports and Exports of India.
- Movements of Earth and their effects.
- Ocean Currents and Tides
- Origin of Earth.
- Regional Geography of India – Climate, Natural vegetation. Mineral and Power resources; location and distribution of agricultural and industrial activities.
- Rocks and their classification; Weathering – Mechanical and Chemical, Earthquakes and volcanoes.
- The Earth, its shape and size. Latitudes and Longitudes, Concept of time. International Date Line.

**Section F: Current Events**

- Current important world events
- Knowledge of Important events that have happened in India in the recent years
- Prominent personalities – both Indian and International including those connected with cultural activities and sports.

Note: You may check Official Link of the organization for more details

**Have a Look on Below Table**