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OAVS PGT Mathematics Syllabus 2026, Exam Pattern
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OAVS PGT Mathematics Combo Packages
We Launches Combo Offers ! with Heavy Discount and Cost Saving Prices. Combo Packages includes - Online Mock Test Series + Important Questions or MCQs + Previous Year Papers with Answer.
Combo Package
OAVS PGT Mathematics
Combo - 1 (English)
1. Online Mock Test Series in English = 10 Tests.
2. Question Bank - 1000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 1000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
₹201₹231
Combo Package
OAVS PGT Mathematics
Combo - 2 (English)
1. Online Mock Test Series in English = 13 Tests.
2. Question Bank - 2000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 2000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
₹261₹291
Combo Package
OAVS PGT Mathematics
Combo - 3 (English)
1. Online Mock Test Series in English = 13 Tests.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in English.
5. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in English.
5. 1000 (+) GK MCQ with Answer PDF Book in English.
₹681₹751
Combo Package
OAVS PGT Mathematics
Combo - 4 (English)
1. Online Mock Test Series in English = 13 Tests.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook of OAVS PGT Mathematics (1000 MCQ) PDF Format in English.
5. 1500 (+) Current Affairs MCQ with Answer PDF in English.
6. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook of OAVS PGT Mathematics (1000 MCQ) PDF Format in English.
5. 1500 (+) Current Affairs MCQ with Answer PDF in English.
6. 1000 (+) GK MCQ with Answer PDF Book in English.
₹781₹941
Combo Package
OAVS PGT Mathematics
Combo - 5 (English) (old)
1. Online Mock Test Series in English = 10 Tests.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in English.
5. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in English.
5. 1000 (+) GK MCQ with Answer PDF Book in English.
₹671₹741
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OAVS PGT Mathematics Syllabus 2026, Exam Pattern
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OAVS PGT Mathematics Syllabus 2026, Exam Pattern, Exam Date 2026
Detail Information about OAVS has published notification 2026 for the recruitment of PGT Mathematics vacancies. Those Candidates who are Interested to the following vacancy and completed all Eligibility Criteria can read the Notification & Apply Online. In this page we provide the Complete Syllabus of this Recruitment with Latest Update Exam Pattern and the Exam Date also.
OAVS PGT Syllabus 2026 - Overview
OAVS PGT Mathematics Syllabus 2026
English :
1. Synonyms
2. Antonyms
3. Prepositions
4. Sentence Completion
5. Active and Passive Voice
6. Spelling Test
7. Spotting Errors
8. Passage Completion
9. Substitution
10. Sentence Arrangement
11. Transformation
12. Idioms and Phrases
13. Sentence Improvement
14. Para Completion
15. Joining Sentences
16. Error Correction (Underlined Part)
17. Error Correction (Phrase in Bold)
18. Fill in the blanks
Odia Language :
1. Spot the error
2. Fill in the blanks
3. Synonyms
4. Antonyms
5. Spelling/ detecting mis-spelt words
6. Idioms & Phrases
7. One word substitution
8. Improvement of sentences
9. Active/ passive voice of verbs
10. Conversion into direct/ indirect narration
11. Shuffling of sentence parts.
Current Affairs :
1. Sports
2. Awards
3. Politics
4. Finance and Banking sector
5. International happening, etc
Reasoning :
1. Series
2. Ranks
3. Direction
4. Arrangement
5. Coding
6. Decoding
7. Analogy and Classification/Odd Pair
8. Syllogism and Statement Conclusion.
Non-Verbal Reasoning :
1. Figure Formation
2. Dice
3. Triangle
4. Rule
5. Detection
6. Images
7. Completion of Pattern
8. Mirror Images
9. Figure Matrix and Paper Folding, etc.
Concerned Subject (Mathematics) :
Sets:
Sets and their representations. Empty set. Finite & Infinite sets. Equal sets. Subsets. Subsets of the set of real numbers. Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set.
Relations & Functions:
Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the reals with itself (upto Rx Rx R). Definition of relation, pictorial diagrams, domain. co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation a function, domain, co-domain & range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions. Sets and their
Representations. Union, intersection and complements of sets, and their algebraic properties, Relations, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings.
Principle of Mathematical Induction:
Processes of the proof by induction. The principle of mathematical induction.
Permutations & Combinations:
Fundamental principle of counting. Factorial n. Permutations and combinations, derivation of formulae and their connections, simple applications.
Complex Numbers:
Complex numbers, Algebraic properties of complex numbers, Argand plane and polar representation of complex numbers, Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system. Modulus and Argument of a complex number, square root of a complex number. Cube roots of unity, triangle inequality.
linear Inequalities:
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Solution of system of linear inequalities in two variables- graphically. Absolute value, Inequality of means, Cauchy-Schwarz Inequality, Tchebychefs Inequality.
Binomial Theorem:
Statement and proof of the binomial theorem for positive integral indices. Pascal's triangle, general and middle term in binomial expansion, simple applications. Binomial Theorem for any index. Properties of Binomial Co-efficients. Simple applications for approximations.
Sequence and Series :
Arithmetic, Geometric and Harmonic progressions (G.P.), General terms and sum ton terms of A.P., G.P. and HP. Arithmetic Mean (AM.), Geometric Mean (G.M.), and Harmonic Mean (H.M.), Relation between A.M., G.M. and H.M. Insertion of Arithmetic, Geometric and Harmonic means between two given numbers. Special series, Sum to n terms of the special series .. Arithmetico-Geometric Series, Exponential and Logarithmic series
Elementary Number Theory:
Peano's Axioms, Principle of Induction; First Principle, Second Principle, Third Principle, Basis Representation Theorem, Greatest Integer Function Test of Divisibility, Euclid's algorithm, The Unique Factorisation Theorem, Congruence, Sum of divisors of a number . Euler's totient function, Theorems of Fermat and Wilson.
Quadratic Equations:
Quadratic equations in real and complex number system and their solutions. Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots; Symmetric functions of roots, equations reducible to quadratic equations - application to practical problems. Polynomial functions, Remainder & Factor Theorems and their converse, Relation between roots and coefficients, Symmetric functions of the roots of an equation. Common roots.
Matrices and Determinants:
Determinants and matrices of order two and three, properties of determinants, Evaluation of determinants. Area of triangles using determinants, Addition and multiplication of matrices, adjoint and inverse of matrix. Test of consistency and solution of simultaneous linear equations using determinants and matrices.
Two dimensional Geometry:
Cartesian system of rectangular co-ordinates in a plane, distance formula, section formula, area of a triangle, condition for the collinearity of three points, centroid and in-centre of a triangle, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.
Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, Equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines, homogeneous equation of second degree in x and y, angle between pair of lines through the origin, combined equation of the bisectors of the angles between a pair of lines, condition for the general second degree equation to represent a pair of lines. point of intersection and angle between two lines. Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle in the parametric form, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to the circle, length of the tangent, equation of the tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point(s) of tangency.
Trigonometric Functions:
Positive and negative angles. Measuring angles in radians & in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Graphs of trigonometric functions. Expressing sin (x+y) and cos (x+y) in terms of sinx, siny, cosx & cosy. Identities related to sin2x, cos2x, tan 2x, sin3x, cos3x and tan3x. Solution of trigonometric equations, Proofs and simple applications of sine and cosine formulae. Solution of triangles. Heights and Distances.
Inverse Trigonometric Functions:
Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions.
Elementary properties of inverse trigonometric functions.
Differential Calculus:
Polynomials, rational, trigonometric, logarithmic and exponential functions, Inverse functions. Graphs of simple functions. Limits, Continuity and differentiability; Derivative, Geometrical interpretation of the derivative, Derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions, Derivative of composite functions; chain rule, derivatives of inverse trigonometric functions, derivative of implicit function. Exponential and logarithmic functions and their derivatives. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives. Rolle's and Lagrange's Mean Value Theorems and their geometric interpretations.
Applications of derivatives: rate of change, increasing / decreasing functions, tangents & normals, approximation, maxima and minima.
Integral Calculus:
Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus. Basic Properties of definite integrals and evaluation of definite integrals; Applications of definite integrals in finding the area under simple curves, especially lines, areas of circles / Parabolas / ellipses, area between the two curves.
Differential Equations:
Definition, order and degree, general and particular solutions of a differential equation.
Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equation.
Vectors:
Vectors and scalars, magnitude and direction of a vector. Direction cosines / ratios of vectors.
Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors.
Three dimensional Geometry:
Coordinates of a point in space, distance between two points; Section formula, Direction cosines/ ratios of a line joining two points. Cartesian and vector equationof a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes. (iii) a line and a plane. Distance of a point from a plane. Scalar and vector triple product. Application of vectors to plane geometry. Equation of a sphere, its centre and radius. Diameter form of the equation of a sphere.
Statistics:
Calculation of Mean, median and mode of grouped and ungrouped data. Measures of dispersion; mean deviation, variance and standard deviation of ungrouped / grouped data. Analysis of frequency distributions with equal means but different variances.
Probability:
Random experiments: outcomes, sample spaces. Events: occurrence of events, exhaustive events, mutually exclusive events, Probability of an event, probability of 'not', 'and' & 'or' events., Multiplication theorem on probability. Conditional probability, independent events,, Baye's theorem, Random variable and its probability distribution, Binomial and Poisson distributions and their properties.
Linear Algebra :
Examples of vector spaces, vector spaces and subspace, independence in vector spaces, existence of a Basis, the row and column spaces of a matrix, sum and intersection of subspaces. Linear Transformations and Matrices. Kernel, Image, and Isomorphism, change of bases, Similarity, Rank and Nullity. Inner Product spaces, orthonormal sets and the GramSchmidt Process, the Method of Least Squares. Basic theory of Eigenvectors and Eigenvalues, algebraic and geometric multiplicity of eigen value, diagonalization of matrices, application to system of linear differential equations. Generalized Inverses of matrices, Moore-Penrose
generalized inverse. Real quadratic forms, reduction and classification of quadratic forms, index and signature, triangular reduction of a pair of forms, singular value decomposition, extrema of quadratic forms. Jordan canonical form, vector and matrix decomposition.
Analysis :
Monotone functions and functions of bounded variation. Real valued functions, continuous functions, Absolute continuity of functions, standard properties. Uniform continuity, sequence of functions, uniform convergence, power series and radius of convergence. Riemann-Stieltjes integration, standard properties, multiple integrals and their evaluation by repeated integration, change of variable in multiple integration. Uniform convergence in improper integrals, differentiation under the sign of integral - Leibnitz rule.
Dirichlet integral, Liouville's extension. Introduction to n-dimensional Euclidean space, open and closed intervals (rectangles), compact sets, Balzano-Weierstrass theorem, Heine-Borel theorem. Maxima-minima of functions of several variables, constrained maxima-minima of functions. Analytic function, Cauchy-Riemann equations, singularities, Statement of Cauchy theorem and of Cauchy integral formula with applications, Residue and contour integration. Fourier and Laplace transforms, Mellin's inversion theorem.
Teaching Methodology :
(I) (a) Curriculum: Meaning, Principles, types of curriculum organization, approaches.
(b) Planning: instructional Plan- Year Plan, Unit Plan, Lesson Plan
(c) Instructional material and resources: Text Books, Work books, Supplementary material AV aids, Laboratories,
Library, Clubs-Museums-Community, Information and
Communication Technology.
(d) Evaluation: Types, tools, Characteristics of a good test, Continuous and Comprehensive Evaluation, Analysis and
interpretation of Scholastic Achievement Test.
(II) Communication & interaction :
1. Theory of Communication,
2. Types of Communication,
3. Communication & language,
4. Communication in the classroom,
5. barriers in communication.
OAVS PGT Mathematics Exam Pattern 2026
Duration : 200 Minutes
Negative Marking : 0.25
Exam Date : Update Soon
Starting Date of Application Form : 12th October 2026
Last Date of Application Form : 11th November 2026
Total Post : 815 (Expected)
OAVS PGT Syllabus 2026 - Overview
| Exam Name | Odisha Adarsh Vidyalaya Recruitment 2026 |
| Conducting Body | OAVS (Odisha Adarsh Vidyalaya Sangathan) |
| Post Name | PGT Mathematics |
| Total Post | 815 (Expected) |
| Category | Syllabus and Exam Pattern |
| Job Location | Odisha |
| Official Website | oav.edu.in. |
OAVS PGT Mathematics Syllabus 2026
English :
1. Synonyms
2. Antonyms
3. Prepositions
4. Sentence Completion
5. Active and Passive Voice
6. Spelling Test
7. Spotting Errors
8. Passage Completion
9. Substitution
10. Sentence Arrangement
11. Transformation
12. Idioms and Phrases
13. Sentence Improvement
14. Para Completion
15. Joining Sentences
16. Error Correction (Underlined Part)
17. Error Correction (Phrase in Bold)
18. Fill in the blanks
Odia Language :
1. Spot the error
2. Fill in the blanks
3. Synonyms
4. Antonyms
5. Spelling/ detecting mis-spelt words
6. Idioms & Phrases
7. One word substitution
8. Improvement of sentences
9. Active/ passive voice of verbs
10. Conversion into direct/ indirect narration
11. Shuffling of sentence parts.
Current Affairs :
1. Sports
2. Awards
3. Politics
4. Finance and Banking sector
5. International happening, etc
Reasoning :
1. Series
2. Ranks
3. Direction
4. Arrangement
5. Coding
6. Decoding
7. Analogy and Classification/Odd Pair
8. Syllogism and Statement Conclusion.
Non-Verbal Reasoning :
1. Figure Formation
2. Dice
3. Triangle
4. Rule
5. Detection
6. Images
7. Completion of Pattern
8. Mirror Images
9. Figure Matrix and Paper Folding, etc.
Concerned Subject (Mathematics) :
Sets:
Sets and their representations. Empty set. Finite & Infinite sets. Equal sets. Subsets. Subsets of the set of real numbers. Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set.
Relations & Functions:
Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the reals with itself (upto Rx Rx R). Definition of relation, pictorial diagrams, domain. co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation a function, domain, co-domain & range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions. Sets and their
Representations. Union, intersection and complements of sets, and their algebraic properties, Relations, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings.
Principle of Mathematical Induction:
Processes of the proof by induction. The principle of mathematical induction.
Permutations & Combinations:
Fundamental principle of counting. Factorial n. Permutations and combinations, derivation of formulae and their connections, simple applications.
Complex Numbers:
Complex numbers, Algebraic properties of complex numbers, Argand plane and polar representation of complex numbers, Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system. Modulus and Argument of a complex number, square root of a complex number. Cube roots of unity, triangle inequality.
linear Inequalities:
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Solution of system of linear inequalities in two variables- graphically. Absolute value, Inequality of means, Cauchy-Schwarz Inequality, Tchebychefs Inequality.
Binomial Theorem:
Statement and proof of the binomial theorem for positive integral indices. Pascal's triangle, general and middle term in binomial expansion, simple applications. Binomial Theorem for any index. Properties of Binomial Co-efficients. Simple applications for approximations.
Sequence and Series :
Arithmetic, Geometric and Harmonic progressions (G.P.), General terms and sum ton terms of A.P., G.P. and HP. Arithmetic Mean (AM.), Geometric Mean (G.M.), and Harmonic Mean (H.M.), Relation between A.M., G.M. and H.M. Insertion of Arithmetic, Geometric and Harmonic means between two given numbers. Special series, Sum to n terms of the special series .. Arithmetico-Geometric Series, Exponential and Logarithmic series
Elementary Number Theory:
Peano's Axioms, Principle of Induction; First Principle, Second Principle, Third Principle, Basis Representation Theorem, Greatest Integer Function Test of Divisibility, Euclid's algorithm, The Unique Factorisation Theorem, Congruence, Sum of divisors of a number . Euler's totient function, Theorems of Fermat and Wilson.
Quadratic Equations:
Quadratic equations in real and complex number system and their solutions. Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots; Symmetric functions of roots, equations reducible to quadratic equations - application to practical problems. Polynomial functions, Remainder & Factor Theorems and their converse, Relation between roots and coefficients, Symmetric functions of the roots of an equation. Common roots.
Matrices and Determinants:
Determinants and matrices of order two and three, properties of determinants, Evaluation of determinants. Area of triangles using determinants, Addition and multiplication of matrices, adjoint and inverse of matrix. Test of consistency and solution of simultaneous linear equations using determinants and matrices.
Two dimensional Geometry:
Cartesian system of rectangular co-ordinates in a plane, distance formula, section formula, area of a triangle, condition for the collinearity of three points, centroid and in-centre of a triangle, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.
Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, Equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines, homogeneous equation of second degree in x and y, angle between pair of lines through the origin, combined equation of the bisectors of the angles between a pair of lines, condition for the general second degree equation to represent a pair of lines. point of intersection and angle between two lines. Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle in the parametric form, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to the circle, length of the tangent, equation of the tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point(s) of tangency.
Trigonometric Functions:
Positive and negative angles. Measuring angles in radians & in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Graphs of trigonometric functions. Expressing sin (x+y) and cos (x+y) in terms of sinx, siny, cosx & cosy. Identities related to sin2x, cos2x, tan 2x, sin3x, cos3x and tan3x. Solution of trigonometric equations, Proofs and simple applications of sine and cosine formulae. Solution of triangles. Heights and Distances.
Inverse Trigonometric Functions:
Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions.
Elementary properties of inverse trigonometric functions.
Differential Calculus:
Polynomials, rational, trigonometric, logarithmic and exponential functions, Inverse functions. Graphs of simple functions. Limits, Continuity and differentiability; Derivative, Geometrical interpretation of the derivative, Derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions, Derivative of composite functions; chain rule, derivatives of inverse trigonometric functions, derivative of implicit function. Exponential and logarithmic functions and their derivatives. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives. Rolle's and Lagrange's Mean Value Theorems and their geometric interpretations.
Applications of derivatives: rate of change, increasing / decreasing functions, tangents & normals, approximation, maxima and minima.
Integral Calculus:
Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus. Basic Properties of definite integrals and evaluation of definite integrals; Applications of definite integrals in finding the area under simple curves, especially lines, areas of circles / Parabolas / ellipses, area between the two curves.
Differential Equations:
Definition, order and degree, general and particular solutions of a differential equation.
Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equation.
Vectors:
Vectors and scalars, magnitude and direction of a vector. Direction cosines / ratios of vectors.
Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors.
Three dimensional Geometry:
Coordinates of a point in space, distance between two points; Section formula, Direction cosines/ ratios of a line joining two points. Cartesian and vector equationof a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes. (iii) a line and a plane. Distance of a point from a plane. Scalar and vector triple product. Application of vectors to plane geometry. Equation of a sphere, its centre and radius. Diameter form of the equation of a sphere.
Statistics:
Calculation of Mean, median and mode of grouped and ungrouped data. Measures of dispersion; mean deviation, variance and standard deviation of ungrouped / grouped data. Analysis of frequency distributions with equal means but different variances.
Probability:
Random experiments: outcomes, sample spaces. Events: occurrence of events, exhaustive events, mutually exclusive events, Probability of an event, probability of 'not', 'and' & 'or' events., Multiplication theorem on probability. Conditional probability, independent events,, Baye's theorem, Random variable and its probability distribution, Binomial and Poisson distributions and their properties.
Linear Algebra :
Examples of vector spaces, vector spaces and subspace, independence in vector spaces, existence of a Basis, the row and column spaces of a matrix, sum and intersection of subspaces. Linear Transformations and Matrices. Kernel, Image, and Isomorphism, change of bases, Similarity, Rank and Nullity. Inner Product spaces, orthonormal sets and the GramSchmidt Process, the Method of Least Squares. Basic theory of Eigenvectors and Eigenvalues, algebraic and geometric multiplicity of eigen value, diagonalization of matrices, application to system of linear differential equations. Generalized Inverses of matrices, Moore-Penrose
generalized inverse. Real quadratic forms, reduction and classification of quadratic forms, index and signature, triangular reduction of a pair of forms, singular value decomposition, extrema of quadratic forms. Jordan canonical form, vector and matrix decomposition.
Analysis :
Monotone functions and functions of bounded variation. Real valued functions, continuous functions, Absolute continuity of functions, standard properties. Uniform continuity, sequence of functions, uniform convergence, power series and radius of convergence. Riemann-Stieltjes integration, standard properties, multiple integrals and their evaluation by repeated integration, change of variable in multiple integration. Uniform convergence in improper integrals, differentiation under the sign of integral - Leibnitz rule.
Dirichlet integral, Liouville's extension. Introduction to n-dimensional Euclidean space, open and closed intervals (rectangles), compact sets, Balzano-Weierstrass theorem, Heine-Borel theorem. Maxima-minima of functions of several variables, constrained maxima-minima of functions. Analytic function, Cauchy-Riemann equations, singularities, Statement of Cauchy theorem and of Cauchy integral formula with applications, Residue and contour integration. Fourier and Laplace transforms, Mellin's inversion theorem.
Teaching Methodology :
(I) (a) Curriculum: Meaning, Principles, types of curriculum organization, approaches.
(b) Planning: instructional Plan- Year Plan, Unit Plan, Lesson Plan
(c) Instructional material and resources: Text Books, Work books, Supplementary material AV aids, Laboratories,
Library, Clubs-Museums-Community, Information and
Communication Technology.
(d) Evaluation: Types, tools, Characteristics of a good test, Continuous and Comprehensive Evaluation, Analysis and
interpretation of Scholastic Achievement Test.
(II) Communication & interaction :
1. Theory of Communication,
2. Types of Communication,
3. Communication & language,
4. Communication in the classroom,
5. barriers in communication.
OAVS PGT Mathematics Exam Pattern 2026
Duration : 200 Minutes
Negative Marking : 0.25
| S.No | Subject | No.of Question | Marks |
| Part 1 | English | 20 | 20 |
| Odia | 20 | 20 | |
| Part 2 | Current Affairs | 30 | 30 |
| Reasoning | 30 | 30 | |
| 3 | Concerned Subject (Mathematics) & Methodology | 100 | 100 |
| Total | 200 | 200 |
Exam Date : Update Soon
Starting Date of Application Form : 12th October 2026
Last Date of Application Form : 11th November 2026
Total Post : 815 (Expected)
FAQs
Oavs PGT Mathematics 2026 Exam Syllabus Frequently Asked Questions (FAQ's)
Here at Toppersexam.com , you can practice a complete set of Imporatnt Questions (MCQ) along with a Free OAVS PGT Mathematics MCQ designed by our expert faculty.
In this article Page, we have provided the required syllabus of the OAVS PGT Mathematics exam.
Being familiar with OAVS PGT Mathematics Exam Pattern will help you understand the types of questions asked, difficulty level of the exam and important topics that require your keen attention. It will also acquaint you with the marking scheme and time allotted to each Topics.
OAVS PGT Mathematics syllabus pdf download option is available here which will help you to get the PDF saved in your device that you can access anytime. It consists of a complete syllabus of OAVS PGT Mathematics which you can refer to while preparing for the exams.
OAVS PGT Mathematics exam is not tough but it depends on your preparation. The candidates find the Subject not challenging. The dedicated preparation in the right direction will undoubtedly take you towards the goal.
The candidates must be well versed and acquainted with the syllabus and the exam pattern. Select the areas where improvement is required and schedule your preparation accordingly. To ace this exam, the applicants ought to maintain speed with high accuracy. Practicing previous years question papers will help you understand the exam pattern and the level of difficulty of the exam. You need to hone your strengths and improve upon your weaknesses. Toppersexam.com will aid you through the preparation and drive you to success. At Toppersexam.com, you can practice a complete set of test series along with a free OAVS PGT Mathematics mock test designed by our expert faculty.
The syllabus of OAVS PGT Mathematics Exam includes all topics that are important for the exam and are necessary for thorough preparation. Toppersexam provides a complete and updated syllabus with a detailed topic-wise breakdown.
You can download the complete OAVS PGT Mathematics Exam syllabus PDF from toppersexam.com. The PDF is available free and includes a detailed list of topics, section-wise subjects, and weightage for better exam preparation.
Yes, OAVS PGT Mathematics Exam has a topic-wise syllabus that includes all relevant subtopics. Toppersexam provides the detailed breakdown, helping candidates focus on high-weightage areas and avoid missing important sections.
Toppersexam ensures that the OAVS PGT Mathematics syllabus is updated for 2026. The latest syllabus reflects current exam trends, question patterns, and updated topics as per official notifications.
The OAVS PGT Mathematics Exam pattern includes details like the number of sections, total questions, marks distribution, and exam duration. Toppersexam provides a comprehensive guide on exam format, marking scheme, and question types.
Yes, the majority of questions in OAVS PGT Mathematics Exam are MCQs. Toppersexam provides practice MCQs with answers to help candidates understand the question pattern and improve accuracy.
Yes, questions are divided section-wise. Toppersexam provides a clear guide on how many questions are asked per section and their difficulty level for effective preparation.
Yes, Toppersexam offers online mock tests that strictly follow the OAVS PGT Mathematics Exam pattern. These mocks help candidates practice time management and get real-exam experience.
Yes, exam patterns can change over time. Toppersexam provides updated information on the latest exam pattern, question types, and section-wise changes.
Understanding the exam pattern is crucial for time management, question prioritization, and strategy planning. Toppersexam guides candidates on how to use the pattern effectively to maximize scores.
Start by dividing the syllabus into sections and prioritizing high-weightage topics. Toppersexam provides a preparation strategy, along with topic-wise tips and sample questions to make syllabus analysis easier.
Yes, focusing on high-weightage topics improves efficiency. Toppersexam highlights important topics, helping candidates prioritize sections for better performance.
Toppersexam provides a free downloadable PDF that includes both the syllabus and detailed exam pattern. This helps candidates study offline and revise efficiently.