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 sectionwise topics that will be covered in each part of the nationallevel 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 nterms 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 submultiple 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 3Dimensional 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 
Subtopics 
NATA Syllabus 2019 for Algebra 
Definitions of A. P. and G.P.; General term; Summation of first nterms 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 3Dimensional Coordinate 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 threedimensional objects from the twodimensional 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 
Subtopics 
NATA Syllabus 2019 for General 
Objects, texture related to architecture and built environment. Interpretation of pictorial compositions, Visualizing threedimensional objects from twodimensional 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 daytoday life objects like furniture, equipment etc., from memory.
NATA Syllabus #year 

Topic 
Subtopics 
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 daytoday life objects like furniture, equipment etc., from memory. 