# NATA Syllabus 2021: Drawing, Mathematics, General Aptitude Syllabus Pdf

Exam Date

Apr 10, 2021

Result Date

Apr 15, 2021 Abbaz

Apr 19, 2021 | Architecture

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Council of Architecture (COA) has released a detailed information brochure for NATA 2021 containing all the information for candidates. NATA syllabus 2021 includes the section-wise topics that will be covered in each part of the national-level exam. The syllabus is crucial for all candidates to gather all the study materials such as reference books, sample papers, and previous year question papers, in order to prepare for the NATA 2021 exam well.

## NATA Syllabus 2021 Highlights

Syllabus of NATA 2021 focuses on Mathematics, Grade level Physics and Chemistry concepts, General aptitude and Drawing concepts. Candidates are advised to know the NATA 2021 Exam Pattern before starting the exam preparation. NATA 2021 syllabus can be divided into three sections- Mathematics, General aptitude and Drawing concepts. The complete syllabus along with the NATA important topics and sub-topics can be found below.

### NATA Syllabus for Mathematics

One of the essential subject to prepare while attempting the NATA exam is Mathematics. It will play a significant role in the student's academic career once they qualify for the examination. The NATA important topics and their sub-topics can be found below.

NATA 2021 Syllabus 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 2021 for Logarithms:

• Definition
• General properties
• Change of base.

NATA 2021 Syllabus 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 the area of a triangle
• Solutions of system of linear equations (Not more than 3 variables).

NATA 2021 Syllabus 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 2021 Syllabus 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
• Slope of a line
• The 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 the common chord of two intersecting circles

NATA 2021 Syllabus for 3-Dimensional 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 2021 Syllabus for Theory of Calculus:

• Functions, Composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivatives 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 2021 Syllabus 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
• The area of the region included between two elementary curves.

NATA Syllabus 2021 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 2021 Syllabus 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 trails and Binomial distribution.
 Topics Sub-topics NATA Syllabus 2021 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 2021 for Logarithms Definition; General properties; Change of base. NATA Syllabus 2021 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 an area of a triangle. Solutions of system of linear equations. (Not more than 3 variables). NATA Syllabus 2021 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 2021 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 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 2021 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 2021 theory of Calculus Functions, the composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivatives 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 2021 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. The area of the region included two elementary curves. NATA Syllabus 2021 for Permutation and Combination Permutation of n different things taken r at a time (r ≤ n). Permutation of things not all different. Permutation with repetitions (circular permutation excluded). Combinations of 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 2021 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 trails and Binomial distribution.

### NATA Syllabus 2021 for General Aptitude

• Objects, texture related to architecture and the built environment.
• Interpretation of pictorial compositions, Visualising three-dimensional objects from the 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 2021 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 2021 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.
 Topics Sub-topics NATA Syllabus 2021 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 2021 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 2021 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 Syllabus 2021 for Physics

• Electrostatics-Potential,Field and Charges
• Magnetism, Magnetic effects
• Electromagnetic induction, Alternating Currents, and electromagnetic induction
• Optics
• Nuclear Chemistry
• Semiconductor and Simple devices

### NATA 2021 Syllabus for Chemistry

Concepts including Matter, Chemical bonding along with basic concepts of atoms. Chemical thermodynamics including equilibrium, redox reaction, hydrogen. Inorganic concepts such as S and P Block elements along with important Organic concepts such as Hydrocarbons, Environmental chemistry fall under the NATA syllabus.

### NATA Syllabus 2021 for Drawing Test

• Understanding of scale and proportion of objects, geometric composition, shape, building forms and elements, aesthetics, color 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.
 Topic Sub-topics NATA Syllabus 2021 for Drawing Test Understanding of scale and proportion of objects, geometric composition, shape, building forms and elements, aesthetics, color 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 shapes and forms. Perspective drawing, Sketching of urbanscape and landscape, Common day-to-day life objects like furniture, equipment, etc., from memory.

To make it easy for the students always to have the NATA exam syllabus handy, we have prepared a PDF file that can be easily downloaded on their systems and kept for future reference. Any candidates who want to have the syllabus saved on their computer for easy access can download the file below.

The entire syllabus is discussed intensively in the PDF. Candidates can use the NATA syllabus PDF file to prepare for the examinations according to their time. Candidates can get a better understanding of the exam by being aware of the NATA 2021 Exam Pattern.

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