#3
 
 
Re: NATA Syllabus Study
NATA syllabus mentions the topics that are covered in Mathematics, General Aptitude and the drawing section. Candidates must thoroughly go through NATA syllabus as it will help the candidates to know which the topics forms are where the questions will be asked. The three hour NATA exam is conducted in both offline and online modes. The Part A of the exam is online while the Part B of the exam (drawing questions) is offline. NATA syllabus: AlgebraDefinitions of A. P. and G.P. General term Summation of first nterms of series ∑n, ∑n,∑n 3 Arithmetic/Geometric series, A.M., G.M. and their relation Infinite G.P. series and its sum Logarithms Definition General properties Change of base Matrices Concepts of m x n (m ≤ 3, n ≤ 3) real matrices, operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. Determinant of a square matrix. Properties of determinants (statement only). Minor, cofactor and adjoint of a matrix. Nonsingular matrix. Inverse of a matrix. Finding area of a triangle. Solutions of system of linear equations. (Not more than 3 variables). Trignometry Trigonometric functions, addition and subtraction formulae, formulae involving multiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, inverse trigonometric functions and their properties Coordinate geometry Distance formula, section formula, area of a triangle, condition of collinearity of three points in a plane. Polar coordinates, transformation from Cartesian to polar coordinates and vice versa. Parallel transformation of axes, concept of locus, elementary locus problems. Slope of a line. Equation of lines in different forms, angle between two lines. Condition of perpendicularity and parallelism of two lines. Distance of a point from a line. Distance between two parallel lines. Lines through the point of intersection of two lines. Equation of a circle with a given center and radius. Condition that a general equation of second degree in x, y may represent a circle. Equation of a circle in terms of endpoints of a diameter. Equation of tangent, normal and chord. Parametric equation of a circle. Intersection of a line with a circle. Equation of common chord of two intersecting circles Dimensional Coordinate geometryirection cosines and direction ratios, distance between two points and section formula, equation of a straight line, equation of a plane, distance of a point from a plane Theory of CalculusFunctions, composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivative of implicit functions and functions defined parametrically. Integration as a reverse process of differentiation, indefinite integral of standard functions. Integration by parts. Integration by substitution and partial fraction. Definite integral as a limit of a sum with equal subdivisions. Fundamental theorem of integral calculus and its applications. Properties of definite integrals. Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations Application of CalculusTangents and normals, conditions of tangency. Determination of monotonicity, maxima and minima. Differential coefficient as a measure of rate. Motion in a straight line with constant acceleration. Geometric interpretation of definite integral as area, calculation of area bounded by elementary curves and Straight lines. Area of the region included between two elementary curves Permutation and combination Permutation of n different things taken r at a time (r ≤ n). Permutation of n things not all different Permutation with repetitions (circular permutation excluded). Combinations of n different things taken r at a time (r ≤ n). Combination of n things not all different. Basic properties. Problems involving both permutations and combinations Statistics andMeasure of dispersion, mean, variance and standard deviation, frequency distribution. Probability Addition and multiplication rules of probability, conditional probability and Bayes Theorem, independence of events, repeated independent trails and Binomial distribution 
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