TANATA 2022 Syllabus and Pattern, Marking Scheme, And Important Topics

TANATA 2022 SYLLABUS

Mathematics Exam Syllabus

• Algebra: Definitions of A.P and G.P, General Term, Summations of first N-terms of Series, Arithmetic and Geometric Series, A.M and G.M and Their Relations, Infinite G.P series and Their Sum.
• Logarithms: Definition, General Properties, Change of Base
• Matrices:Concepts of m x n(m<=3,n<=3),Real Matrices, operations of Addition, Scalar multiplication and multiplication of matrices, Transpose of Matrices, The Determinant of Square Matrices, Properties of Determinants(Statement only),Minor, cofactor and Adjoint Of Matrix, Nonsingular Matrix, The Inverse Of Matrix, Finding Area of Triangle, Solutions of System Of Linear Equations(Not more than 3 Variables).
• 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.
• Coordinate Geometry: Distance Formulae, Section Formulae, Area of a Triangle, Condition of Co linearity of 3 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 Circle with a given Centre and Radius, Condition that a general equation of second degree in x,y may represent a circle, Equation of Circle in terms of endpoints of diameter. Equation of Tangent, Normal, Chord. Parametric Equation of Circle, Intersection of Line with a Circle. Equation of Common Chord of Two intersecting Circles.
• 3-Dimensional Coordinate Geometry: Direction Cosines, Direction Ratios, Distance between two Points and Section Formulae, Equation of Straight Line, Equation of Plane, Distance of point from a Plane.
• 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 reverse Process of Differentiation, Indefinite Integral of Standard Functions. Integration by Parts. Integration by Substitution and partial fraction. Definite Integral as a limit of sum with equal substitutions. Fundamental Theorem of Integral Calculus and its Application. Properties of definite Integrals. Formation of Ordinary Differential Equations, Solution of Homogenous Differential Equations, Separation of Variables Method, linear first order differential equations.
• Application of Calculus: Tangents and Normal, Condition 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.
• Permutation and Combination: Permutations of n different things taken r at a time. Permutation of n things not all different. Permutation with repetitions (circular permutations excluded).Combinations of n different things taken r at a time. Combinations of n things not all different. Basic Properties. Problems Involving both permutations and Combinations.
• 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.

General Aptitude Syllabus

• Objects,Texture related to Architecture and Built Environment. Interpretation of Pictorial Composition.
• 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.
• 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, 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.

Drawing Test Syllabus

• Understanding of Scale and Proportion of Objects.
• Geometric Composition and Shape.
• Building Forms and Elements.
• Aesthetics, Color Texture, Harmony and Contrast.
• Conceptualizing and Visualization through structuring Objects in Memory.
• Drawing of Patterns-both Geometrical and Abstract.
• From 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 urban-scape and Landscape.
• Common day to day life objects like Furniture, equipment etc.