NDA math program, General Test of ability is given here. If a candidate is serious and wants to remove the next NDA (II) Exam 2018, he needs to study the full NDA EXAM program.
So before appearing for the test, it is a duty that must know about the NDA exam program, then only you can plan your preparation for it. The program chapter for the NDA / NA – Mathematics and General Test Eligibility Examination
So before appearing for the test, it is a duty that must know about the NDA exam program, then only you can plan your preparation for it. The program chapter for the NDA / NA – Mathematics and General Test Eligibility Examination below .
(Maximum score – 300)
Concept of a joint, joint operations, Venn diagrams. Morgan laws. The Cartesian product, the relation, the relation of equivalence. The representation of the real numbers in a line. Complex numbers – basic properties, module, argument, cubic roots of the unit. Binary number system. Conversion of a decimal number into a binary system and vice versa. Arithmetic, geometric and harmonic of progressions. Equations of the second degree with real coefficients. Resolution of linear two-variable inequalities by graphs. Switching and combination. Binomial theorem and its application. Logarithms and applications.
Matrix and determinants:
The matrix types, matrix operations determinant of a matrix, the basic properties of the determinant. The attachment and inverse of a square matrix, Applications – Solution of a system of linear equations to two unknowns or three by the Cramer rule and the matrix method
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.
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, the derivative of a function with respect of another function, the 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.
General Ability Test
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