**NDA Syllabus 2015 - 16**

Candidates who have dream to join NDA (National Defense
Academy) Now must know the complete Syllabus for next NDA examination. NDA examination
conducts every year for the selection of eligible candidates in Indian Army.

The NDA creates Officers for the defense sector in Indian
Army. Candidates who have been applied for this examination now must prepare for
it, so at this page we are providing you the complete syllabus for NDA
Examination. Candidates can download it for their preparation.

**NDA Syllabus 2015 – 16:**

**Paper-I:**

**Mathematics (Maximum Marks - 300)**

**1Algebra:**

Concept of set, operations on sets, Venn diagrams. De Morgan laws. Cartesian product, relation and equivalence relation. Representation of real numbers on a line. Complex numbers - basic properties, modulus, argument, and 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 application. Logarithms and their applications.

**2. 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.

**3. 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.

**4. 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.

**5. 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 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. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima.

**6. 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.

**7. 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.

**8.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**

**General Ability Test**

(Maximum Marks-600)

(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.

**Part ‘B’ - GENERAL KNOWLEDGE**

This section contains questions regarding general knowledge
to check the candidate’s current affairs.

**STEPS:**written examination tips

**NOTE:**To get complete details visit the official website.

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