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

The students who are preparing for the NDA can download the syllabus of the same from here. The syllabus of NDA consists of Mathematics, General Ability Test. If you are going to appear in the NDA 2018 exams, then you should see the details of the exams syllabus from here.

The syllabus of NDA is divided in multiple subjects. You can see the details of these one by one from here. The details are written here for you,check them one by one & get to know all the details of your syllabus.

The Chapter wise Syllabus for NDA / NA Examination – Mathematics and General Eligibility Test is detailed below

#### NDA Mathematics  Syllabus PDF

Paper-I    Mathematics (Maximum Marks – 300)

Algebra

Concept of a 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 equations of two variables by graphs.  Permutation and Combination.  Binomial theorem and its application.  Logarithms and their applications.

Matrices and Determinants

Types of matrices, operations on matrices Determinant of a matrix, basic  properties of determinant.  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 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 a function at a point, geometrical and physical interpreatation 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.  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 equation, 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 vector, scalar product or dot product of two-vectors.  Vector product and cross product of two vectors.  Applications-work done by a force and moment of a force, and in geometrical problems.

Statistics and Probability
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.

Paper-II

#### NDA General Ability Test Syllabus 2018

General Ability Test (Maximum Marks-600)

Part ‘A’ – ENGLISH (Maximum Marks 200). The question paper in English will be designed to test the candidate’s understanding of English and workman like use of words. The syllabus covers various aspects like : Grammar and usage, vocabulary, comprehension and cohesion in extended text to test the candidate’s proficiency in English.

#### NDA GK Syllabus 2018

Part ‘B’ – GENERAL KNOWLEDGE

NDA General Science question paper contains various questions from general science such as Development and Reproduction in Plants and Animals , Difference between the living and non-living , Elementary knowledge of human Body and its important organs , Basis of Life – Cells Protoplasm and Tissues , Common Epidemics their causes and prevention , Constituents of food Balanced Diet , Achievements of Eminent Scientists , The Solar System – Meteors and Comets Eclipses , Food – Source of Energy for man. Make NDA General science notes for preparation of these topics.

#### NDA Entrance Exam Syllabus, UPSC NDA Exam syllabi

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