# NATA 2019 Syllabus

Exam Date : July 7, 2019
Result Date : July 21, 2019

## NATA Syllabus 2019

• Council of Architecture(COA) has released a detailed information brochure for NATA 2019 containing all the information for candidates. NATA  syllabus 2019  includes the section-wise topics that will be covered in each part of the national-level exam.

• The syllabus of NATA 2019 focuses on Mathematics, General aptitude and Drawing concepts. Candidates are advised to know the NATA 2019 Exam Pattern before starting the exam preparation. The complete syllabus is given below

### NATA Syllabus 2019 for Mathematics:

NATA Syllabus 2019 for Algebra:

• Definitions of A. P. and G.P.

• General term

• Summation of first n-terms of series ∑n, ∑n²,∑n3

• Arithmetic/Geometric series, A.M., G.M. and their relation

• Infinite G.P. series and its sum.

NATA Syllabus 2019 for Logarithms:

• Definition

• General properties

• Change of base.

NATA Syllabus 2019 for 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

• The determinant of a square matrix

• Properties of determinants (statement only)

• Minor, cofactor and adjoint of a matrix

• Nonsingular Matrix

• The inverse of a matrix

• Finding the area of a triangle

• Solutions of system of linear equations (Not more than 3 variables).

NATA Syllabus 2019 for Trigonometry:

• Trigonometric functions, addition and subtraction formulae, formulae involving multiple and  sub-multiple angles, the general solution of trigonometric equations

• Properties of triangles, inverse trigonometric functions, and their properties

NATA Syllabus 2019 for Coordinate Geometry:

• Distance formula, section formula, area of a triangle, condition of collinearity of three points in a plane

• Polar coordinates the transformation from Cartesian to polar coordinates and vice versa. Parallel transformation of axes, the concept of the locus, elementary locus problems

• The slope of a line

• The equation of lines in different forms, angle between two lines

• The condition of perpendicularity and parallelism of two lines

• The distance of a point from a line

• The distance between two parallel lines

• Lines through the point of intersection of two lines

• The equation of a circle with a given centre and radius

• The condition that a general equation of second degree in x, y may represent a circle

• The equation of a circle in terms of endpoints of a diameter

• The equation of tangent, normal and chord. Parametric equation of a circle

• The intersection of a line with a circle

• The equation of the common chord of two intersecting circles

NATA Syllabus 2019 for 3-Dimensional Coordinate geometry:

• Direction cosines and direction ratios

• The distance between two points and section formula

• The equation of a straight line

• The equation of a plane

• The distance of a point from a plane

NATA Syllabus 2019 for Theory of Calculus:

• Functions, 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, a solution of homogeneous differential equations, separation of variables method, linear first order differential equations

NATA Syllabus 2019 for Application of Calculus:

• Tangents and normals, conditions of tangency

• Determination of monotonicity, maxima, and minima

• Differential coefficient as a measure of the rate

• Motion in a straight line with constant acceleration

• Geometric interpretation of definite integral as an area, calculation of area bounded by elementary curves and Straight lines

• Area of the region included between two elementary curves.

NATA Syllabus 2019 for 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

NATA Syllabus 2019 for Statistics and Probability:

• Measure of dispersion, mean, variance and standard deviation, frequency distribution

• Addition and multiplication rules of probability, conditional probability and Bayes’ Theorem, independence of events, repeated independent trials and Binomial distribution.

 NATA Syllabus 2019 Topics Sub-topics NATA Syllabus 2019 for Algebra Definitions of A. P. and G.P.; General term; Summation of first n-terms of series ∑n, ∑n2,∑n 3 ; Arithmetic/Geometric series, A.M., G.M. and their relation; Infinite G.P. series and its sum. NATA Syllabus 2019 for Logarithms Definition; General properties; Change of base. NATA Syllabus 2019 for 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). NATA Syllabus 2019 for Trigonometry 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. NATA Syllabus 2019 for 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. NATA Syllabus 2019 for 3-Dimensional Co-ordinate geometry Direction 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. NATA Syllabus 2019 forTheory of Calculus Functions, 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. NATA Syllabus 2019 for Application of Calculus Tangents 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. NATA Syllabus 2019 for 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. NATA Syllabus 2019 for Statistics and Probability Measure of dispersion, mean, variance and standard deviation, frequency distribution. Addition and multiplication rules of probability, conditional probability and Bayes’ Theorem, independence of events, repeated independent trials and Binomial distribution.

### NATA Syllabus 2019 for General Aptitude

• Objects, texture related to architecture and built environment.

• Interpretation of pictorial compositions, Visualising three-dimensional objects from the two-dimensional drawing

• Visualising different sides of 3D objects

• Analytical reasoning, mental ability (visual, numerical and verbal), General awareness of national/ international architects and famous architectural creations

NATA Syllabus 2019 for Mathematical reasoning:

• Statements, logical operations like and, or, if and only if, implies, implied by

• Understanding of tautology, converse, contradiction, and contrapositive

NATA Syllabus 2019 for Sets and Relations:

• Idea of sets, subsets, power set, complement, union, intersection and difference of sets, Venn diagram, De Morgan's Laws, Relation and its properties

• Equivalence relation — definition and elementary examples.

 NATA Syllabus #year Topics Sub-topics NATA Syllabus 2019 for General Objects, texture related to architecture and built environment. Interpretation of pictorial compositions, Visualizing three-dimensional objects from two-dimensional drawing. Visualizing different sides of 3D objects. Analytical reasoning, mental ability (visual, numerical and verbal), General awareness of national/ international architects and famous architectural creations. NATA Syllabus 2019 for Mathematical reasoning Statements, logical operations like and, or, if and only if, implies, implied by. Understanding of tautology, converse, contradiction and contrapositive. NATA Syllabus 2019 for Sets and Relations The idea of sets, subsets, power set, complement, union, intersection and difference of sets, Venn diagram, De Morgan's Laws, Relation and its properties. Equivalence relation — definition and elementary examples.

### NATA 2019 Syllabus for Drawing Test :

• Understanding of scale and proportion of objects, geometric composition, shape, building forms and elements, aesthetics, colour texture, harmony and contrast

• Conceptualization and Visualisation through structuring objects in memory

• Drawing of patterns - both geometrical and abstract

• Form transformations in 2D and 3D like union, subtraction, rotation, surfaces, and volumes

• Generating plan, elevation and 3D views of objects

• Creating 2D and 3D compositions using given shapes and forms

• Perspective drawing, Sketching of urbanscape and landscape, Common day-to-day life objects like furniture, equipment etc., from memory.

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

Live Application Forms

### Discussion Forum

Q
what is the Syllabus for NATA 2018 exam?

what is the Syllabus for NATA 2018 exam?

A

Hello Devangi,

A

Hello Subhash,

Q
what is the Syllabus for Drawing exam?

what is the Syllabus for Drawing exam?

A

Hello Devangi,

• Understanding of scale and proportion of objects, geometric composition, shape, building forms and elements, aesthetics, colour texture, harmony and contrast

• Conceptualization and Visualisation through structuring objects in memory

• Drawing of patterns - both geometrical and abstract

• Form transformations in 2D and 3D like union, subtraction, rotation, surfaces, and volumes

• Generating plan, elevation and 3D views of objects

• Creating 2D and 3D compositions using given shapes and forms

• Perspective drawing, Sketching of urbanscape and landscape, Common day-to-day life objects like furniture, equipment etc., from memory.

Q
NATA 2017 Drawing test syllabus

What is the syllabus for the drawing test in the NATA exam?

A

The drawing test syllabus for the NATA exam is as below: -

• Perspective drawing sense of an Individual.
• The capability of an individual to draw the given object proportionately and make it in a visually appealing manner.
• A good understanding of Proportional and Scale.
• The way of Drawing day to day experiences using pencils.
• Combining the given Three Dimensional structures and building a structural form.
• Presenting a visual harmony using good colour sketches.
• Creative thinking to build interesting structures using given Two-Dimensional forms.

Q
Clarification about the Aesthetic Sensitivity Test

Can you provide details about the Aesthetic Sensitivity Test?