| 30th August 2012 05:57 PM | |
| Arvind Kumar | Re: NDA Written Exam Syllabus NDA Written Exam Syllabus of Mathematics is given below: Algebra: 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, 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 Matrices and Determinants Types of matrices, operations on matrices Determinant of a matrix, basic properties of determinant Ad joint 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 Trigonometrically 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 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 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. |
| 30th August 2012 03:59 PM | |
| VARDHAN. | NDA Written Exam Syllabus I am searching for the National Defense Academy Written Exam Syllabus so can any one provide me the syllabus and also give me the page where I can download the syllabus? |
