# NATA Syllabus 2020

Deepika Narwal Updated On: 27 Sep, 2019 16:11 IST

## NATA 2020 Syllabus

NATA 2020 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 2020 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 2020 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.

## NATA Syllabus for Mathematics

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.

## NATA 2020 Maths Syllabus

The applicants of NATA 2020 must know the NATA 2019 maths syllabus completely in a chapter-wise manner so here we have presented the Maths syllabus in a Tabular format.

## NATA 2020 Syllabus for Mathematics

 Topic Chapters Algebra G.P and A.P terminology  Summation of the first n terms A.M and G.M relations and G.P series. Matrices m*n concepts Real matrics Operation of Addition Scalar Multiplication. Square Matrix Linear Equation Trigonometry Trigonometric functions Addition and subtraction formulae Properties of triangle Inverse trigonometry. Logarithms General Properties Change of Base Coordinate Geometry Collinearity of Three Parallel transformation of X Locus Elementary Locus Perpendicularity  Parallelism Equation of Circle Distance between two lines Calculus Composition of two functions Inverse functions Limit  Continuity  Derivative Chain Rule Variable methods Application of Calculus Tangents and Normals Tangents Motion in Straight line Geometric Interpretation of Integration Permutation and Combination Permutation on N All combinations possible

## NATA 2020 General Aptitude Syllabus

The applicants of NATA 2020 must know the NATA 2020 General Aptitude syllabus completely in a chapter-wise manner so here we have presented the General Aptitude syllabus in a Tabular format.

 Topic Chapter Mathematical Reasoning Logical Operation of sentences Tautology Converse Contradiction Contrapositive General Texture Object Architecture Built environment Analysing 2 Dimensional and 3-dimensional drawing Analytical Reasoning Mental Ability General awareness Sets and Relations Sets Subsets, Power set, Complement,  Union,  Intersection  The difference between sets, Venn diagram,  De Morgan's Laws,  Relation and its properties. Equivalence relation

## NATA 2020 Drawing Aptitude Syllabus

Paper 2 of NATA has only drawings, so the candidates will have to know which are the diagrams or type of sketches they must practise in order to do well.

 Topics Chapters Drawing Candidates must have a good concept about Proportion and Scale, Composition and Shape.  Form transformations in 2D and 3D like union, subtraction, rotation, surfaces and volumes Perspective drawing, Sketching of urbanscape and landscape, Common day-to-day life objects like furniture, equipment

## NATA Syllabus for General Aptitude

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 the 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.

## Syllabus for Drawing Test

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.

Dausa
Bhopal
Indore
Jaipur

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