Nidhi Bahl Updated On: 09 Oct, 2018 09:57 IST

NATA 2019 syllabus includes all the topics that candidates must cover in order to score well in the exam. It is important to go through NATA syllabus 2019 as it will help candidates in getting an idea of the kind of questions that will be asked in the entrance exam. Knowing the NATA 2019 syllabus in advance will help the candidates separate topics they should cover first from the ones to be covered later. Go through the following detailed NATA syllabus, and get ready to crack the entrance exam for B.Arch admissions.

**Algebra: **Definitions of A. P. and G.P.,** **Summation of first n-terms of series ∑n, ∑n2,∑n 3; General term; Arithmetic/Geometric series, G.M. and their relation; A.M., Infinite G.P. series and its sum.

**Logarithms:** Definition, Change of base, General properties.

**Matrices:** Concepts of m x n (m ≤ 3, n ≤ 3) real matrices, Properties of determinants (statement only). Minor, cofactor and adjoint of a matrix. operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. Determinant of a square matrix. Nonsingular matrix. Inverse of a matrix. Finding area of a triangle. Solutions of system of linear equations. (Not more than 3 variables).

**Trigonometry: **Trigonometric functions, Trigonometric functions, formulae involving multiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, addition and subtraction formulae, 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. angle between two lines. Distance of a point from a line. Distance between two parallel lines. Condition that a general equation of second degree in x, y may represent a circle. Equation of lines in different forms, Lines through the point of intersection of two lines. Equation of a circle with a given center and radius. Equation of a circle in terms of endpoints of a diameter. Intersection of a line with a circle. Equation of common chord of two intersecting circles. Equation of tangent, normal and chord. Parametric equation of a circle. Condition of perpendicularity and parallelism of two lines.

**3-Dimensional Co-ordinate geometry:** distance between two points and section formula, equation of a plane, Direction cosines and direction ratios, distance of a point from a plane, equation of a straight line.

**Theory of Calculus: **Functions, limit, continuity, Integration as a reverse process of differentiation, composition of two functions and inverse of a function, derivative, chain rule, derivative of implicit functions and functions defined parametrically. indefinite integral of standard functions. Integration by parts. Fundamental theorem of integral calculus and its applications. Integration by substitution and partial fraction. Definite integral as a limit of a sum with equal subdivisions. Properties of definite integrals. solution of homogeneous differential equations, Formation of ordinary, differential equations, separation of variables method, linear first order differential equations.

**Application of Calculus: **Tangents and normals, calculation of area bounded by elementary curves and Straight lines. conditions of tangency. Determination of monotonicity, maxima and minima. Differential coefficient as a measure of rate. Geometric interpretation of definite integral as area, Motion in a straight line with constant acceleration. Area of the region included between two elementary curves.

**Permutation and combination:** Permutation of n different things taken r at a time (r ≤ n). Combinations of n different things taken r at a time (r ≤ n). Permutation with repetitions (circular permutation excluded). Combination of n things not all different. Basic properties. Problems involving both permutations and combinations, Permutation of n things not all different.

**Statistics and Probability:** Measure of dispersion, mean, variance and standard deviation. repeated independent trails and Binomial distribution, frequency distribution, Addition and multiplication rules of probability, conditional probability and Bayes’ Theorem, independence of events.

Objects, Interpretation of pictorial compositions, Visualizing three-dimensional objects from two-dimensional drawing. Analytical reasoning, mental ability (visual, numerical and verbal), Visualizing different sides of 3D objects. General awareness of national/ international architects and famous architectural creations, texture related to architecture and built environment.

**Mathematical Reasoning**: Statements, logical operations like and, or, if and only if, implies, implied by. Understanding of tautology, converse, contradiction and contrapositive.

**Sets and Relations:** Idea of sets, complement, union, Relation and its properties, subsets, power set, intersection and difference of sets, Equivalence relation — definition and elementary examples, Venn diagram, De Morgan's Laws.

Understanding of scale and proportion of objects, geometric composition, colour texture, shape, aesthetics, building forms and elements, harmony and contrast. Conceptualization and Visualization through structuring objects in memory. Drawing of patterns - rotation, subtraction, surfaces and volumes. Generating plan, elevation and 3D views of objects, both geometrical and abstract. Form transformations in 2D and 3D like union. Creating 2D and 3D compositions using given shape and forms. Perspective drawing, Common day-to-day life objects like furniture, equipment etc., Sketching of urbanscape and landscape, from memory.

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