**UPSC NDA Syllabus 2017**Maths, English, General Ability Test, Physics, Chemistry.

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Contents

## UPSC NDA Syllabus 2017 Overview

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### UPSC NDA NA Syllabus 2017

Subject/ Paper Code | Duration | Maximum Marks |
---|---|---|

Mathematics/ 01 | 2 Hours & 30 Minutes | 300 |

General Ability Test/ 02 | 2 Hours & 30 Minutes | 600 |

Total | 900 Marks | |

SSB Test/ Interview | 900 Marks |

- The upsc nda question paper for all the subject will be objective type.
- The upsc nda mathematics question paper and upsc nda general ability test part b will be bilingually in Hindi and English.

### UPSC NDA Paper 1 (Mathematics) Syllabus

- 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 inequations of two variables by graphs.
- Permutation and Combination.
- Binomial theorem and its applications.
- Logarithms and their applications.

#### Matrices and 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 and Differential Equations

- Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and 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.

### UPSC NDA Syllabus pdf General Ability Test

#### UPSC NDA Syllabus Paper 2 (Part-A) English

- Grammar and usage, vocabulary, comprehension and cohesion in extended text to test the candidate’s proficiency in English.

#### UPSC NDA Syllabus Paper 2 (Part-B) General Ability Test

#### Section ‘A’ (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.

#### Section ‘B’ (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 Carbondioxide, 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.

#### Section ‘C’ (General Science)

- Difference between the living and non-living.
- Basis of Life—Cells, Protoplasms 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.

#### Section ‘D’ (History, Freedom Movement etc.)

- A broad survey of Indian History, with emphasis on Culture and Civilisation.
- 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.

#### Section ‘E’ (Geography)

- The Earth, its shape and size.
- Lattitudes 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.

#### Section ‘F’ (Current Events)

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

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