# NATA Syllabus 2019

**NATA Syllabus 2019: **The Council of Architecture (CoA), Delhi will prescribe the NATA Syllabus 2019 for candidates who are willing aspiring to pursue B.Arch in different colleges/institutes in India on the basis of NATA score. The syllabus of NATA 2019 will cover the topics from three sections, i.e. General Aptitude, Mathematics, and Drawing test. Most likely, the NATA 2019 examination will be held on April 2019. The official notification regarding the NATA Syllabus 2019 hasn’t been released yet. However, we are expecting that the syllabus will be same as that of previous year exam. The exam will consist of 40 from General Aptitude, 20 questions from Mathematics, and 2 questions on the drawing. It is a computer-based test (except the drawing section). The drawing test of the NATA exam will be held in offline mode. Candidates are suggested to go through the syllabus carefully and prepare for the examination in an organized manner. It will help the candidates to analyze which topics are important to cover first and which ones they should prepare afterward. Through this post, candidates can check all important details about NATA 2019 syllabus for Mathematics, General aptitude, and Drawing.

**NATA Syllabus 2019**

**For Mathematics subject**

**Logarithms:** Definition; Change of base, general properties

**Algebra**: General term; Definitions of A. P. and G.P.; Summation of first n-terms of series ∑n, ∑n²,∑n3 ; Infinite G.P. series and its sum, Arithmetic/Geometric series, A.M., G.M. and their relation.

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

**Coordinate geometry:**

Distance formula, area of a triangle, section formula, condition of collinearity of three points in a plane, transformation from Cartesian to polar coordinates and vice versa, Polar coordinates, Parallel transformation of axes, Slope of a line, concept of locus, elementary locus problems, Equation of lines in different forms, angle between two lines, Condition of perpendicularity and parallelism of two lines, Distance between two parallel lines, Distance of a point from a line, Equation of a circle with a given center and radius, Lines through the point of intersection of two lines, Condition that a general equation of second degree in x, y may represent a circle, Parametric equation of a circle, Equation of a circle in terms of endpoints of a diameter, Equation of tangent, normal and chord, Intersection of a line with a circle, Equation of common chord of two intersecting circles

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

**Trigonometry:** Trigonometric functions, formulae involving multiple and sub-multiple angles, addition and subtraction formulae, general solution of trigonometric equations, inverse trigonometric functions and their properties, Properties of triangles

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

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

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

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

**Syllabus for** **General Aptitude**

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

**Mathematical reasoning:**Understanding of tautology, converse, contradiction and contrapositive, Statements, logical operations like and, or, if and only if, implies, implied by**Sets and Relations:**Equivalence relation — definition and elementary examples, Idea of sets, subsets, power set, union, complement, intersection and difference of sets, De Morgan’s Laws, Venn diagram, Relation and its properties.

**Syllabus for Drawing Test**

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

**Examination pattern**

Candidates can check complete NATA examination pattern 2019 below on this table.

Subject | Number of questions | Marks allotted | Examination mode | Duration |

Mathematics | 20 | 40 | MCQ (Online) | 1.5 hours |

General Aptitude | 40 | 80 | MCQ (Online) | |

Drawing test | 02 | 80 | Paper and Pencil | 1.5 hours |