##### UP PGT Exam , PGT Syllabus , Application Form , Exam Date , Eligibility Criteria , Pattern

**Join the Group :**

UP PGT Exam Application form Released DateÂ **:** **Â 09 / 06 / 2022**

Last Date for submission of the application form **:** **16 / 07 / 2022**

Admit Card Release **:** **Notified Soon**

Exam Date **:** **Notified SoonÂ **

Conduct Agency **:** **UPSESSB **( Utter Pradesh Secondary Education Service Selection Board )

Exam Pattern **:** **Offline Mode**Â

Exam Type **:**Â **MCQÂ **

Result **: Notified Soon**

Selection Process **: Written Exam & Interview**

**UP PGT Exam Eligibility Criteria : –**

The condinates who Qualify UP PGT Exam shall have to fullfill the following Eligibility Requirement for Application form.

- Master Degree with Related Subject.
- For Subject wise Eligibility Read the Notification in Official website UP PGT(UPESSB) .

**UP PGT Exam Age Limit & Relaxation :-Â **

- Minimum Age : 21 YearÂ
- Maximum Age :
**NA** - Age Relaxation Extra as Per Rules .

**UP PGT Exam Pattern : –Â **

- UP PGT Exam will conducted Offline Mode .
- Duration ofÂ Exam will be 2 hours (120 minutes).
- Section : 1 Parts ( Part – A) .
- Number of Questions : 125 QuestionsÂ
- Paper Language : You can choose Hindi / English for Part – A .
- Total Marks : 425 Marks.
- Negative Marking : (0) Marks for each incorrect Question.

**UP PGT Exam Marking Pattern of the Paper :-**

Each question Carries 3.4Â marks.

- For each correct response, candidate will get 3.4 marks.
- For each incorrect response, No mark will be deducted from the total score.
- Un-answered/un-attempted response will be given no marks.
- To answer a question, the candidate needs to choose one option as correct option.
- However, after the process of Challenges of the Answer Key, in case there are

multiple correct options or change in key, only those candidates who have attempted

it correctly as per the revised Answer key will be awarded marks. - In case a Question is dropped due to some technical error, full marks shall be given

to all the candidates irrespective of the fact who have attempted it or not .

5. Charts , Graph Sheets , Tables , Cellular Phone or Other Electronic Gadgets are NOT allowes in the examination hall.

Particulars |
Â Â Â Part – A |
Â Â Â Total |

Â Total Questions | Â Â Â 125 | Â Â Â 425 |

Â Marks for each Correct AnswerÂ Â Â Â Â Â Â Â | Â Â Â 3.4 | Â Â Â – |

Â Marks for each Incorrect Answer | Â Â Â 0 | Â Â Â 0 |

**UP PGT Exam Selection Process : –**

Â Â Exam |
Â Â Â Marks |
Â Â Â Parcentage |

Â Â Written Exam |
Â Â Â 425 | Â Â Â 85% |

Â Â Interview |
Â Â Â 50 | Â Â Â 10% |

Â Â Special Qualification |
Â Â Â 25 | Â Â Â 5% |

Â Â Total |
Â Â Â 500 | Â Â Â 100% |

**Weightage :-Â **

Weightage will be given on total Marks.Â

For 1 Yr Service â€“ 1 Marks.

Maximum marks â€“ 30 Marks.

(i) Interview (10% Marks) : 50 Marks.

General Knowledge â€“ 4 %

Personality Test- 3 %

Expressive ability â€“ 3 %

(ii) Special Qualification (5% weightage) : 25 Marks

For Ph.D : 2% Marks Weightage.

For M.Ed :2% Marks Weightage.

For B.Ed : 1% Marks Weightage.

Participated in sports at the national level : 1%.

**Salary :-Â **

- The PGT Teacher Pay Scale : 47600 Rs – 151100 Rs.

**UP PGT Exam Syllabus (Mathematics)Â : –Â **

**Algebra : – **

Algebra theory of equations, Symmetric functions of roots, Arithmetic geometric and harmonic series, sum, permutation and combination of series consisting of terms of squares and cubes of natural numbers, binomial theorem, sum of quadratic and logarithmic series, principles of probability addition and multiplication.

**Determinants :- **

Definition, determinants and determinants, expansion of determinants up to 3Ã—3 order, solution of n linear (n = 3) system of equations by Cramerâ€™s rule.

**Matrices :- **

Type of Matrices , Addition and product of matrices up to 3Ã—3 order, transformed matrices, symmetric and asymmetrical matrices, covariance of matrices, inverse matrices. Solution of quadratic equations of three unknown quantities with the help of matrices.

**Set theory and Operations :- **

Square sum rule, Associative rule , Commutative rule , Distributive rule , All isomorphisms , De Morganâ€™s rule , Equivalence relation , Mapping , Inverse mapping , Combination of mappings , Use of piano’s axiom and Arrival axiom.

**Group Theory :-**

Partial groups and groups , homomorphisms , subgroups generated by subgroups, cyclic groups, degree of an element, subgroups of cyclic groups , disjunction of cosets , Lagrange’s theorem , normal subgroups and division groups , fundamental theorem of homomorphism , first and second one’s Homomorphism theorem.

**Linear Algebra : –**

Examples of vector spaces, linear combination of vectors, linear dependence, linear independence, basis and dimension, finite dimensional vector space, subspace, subspace generation, division space, direct addition. Linear Transformations and Matrices examples, Algebra of Linear Transformations, Fundamental Theorem of Homomorphism and its Applications.

Three Spaces and Dual Basis, Transformation of Linear Transformation, Matrix Representation of Linear Transformation, Change of Basis and its Effect on Matrix Representation, Linear Transformation , Order of transformation and matrix, nullity of linear transformation, order nullity theorem, characteristic values â€‹â€‹and characteristic vectors, invertible with the help of Cayley Hamilton’s theorem , Finding the inverse of a matrix.

**Coordinate Geometry : –Â **

The pair of straight line represented byÂ a xÂ² + 2 h x y + b yÂ² = 0 . Angle between these lines and the equation of the pair of Â bisector , Standard equation and parametric equation of the conic in rectangular Cartesian coordinates , Quadratic general equation to represent the pair line, Condition of circle, parabola, ellipse and hyperbola , Condition to represent circle, parabola , ellipse and hyperbola , To obtaining standard equations of circle, parabola, ellipse and hyperbola with the help of transfer of origin and axes , Tangents and normal,Â Intersection of secant with a conic.

Condition of its being tangent in boundary condition, condition of tangent, functional equation of tangents, equation of tangents in terms of slope form , pair of tangents to a conic from bounded point , Standard equation of conic in polar coordinates (two dimensional), sphere, cone, cylinder central conicoid and standard equation in three dimensional Cartesian coordinates and their elementary properties.

**Trigonometry :-**

Trigonometric equations, solution of a triangle, radii and properties of inner and outer circles, height and distance, simple properties of inverse circular plane, sum and product of complex numbers, modulus, angle form, rationalization of denominator, De Moiver’s theorem and its use unit. Functions of basic complex numbers exponential, circular hyperbolic logarithm, general exponential. Inverse circular and inverse hyperbolic functions – separation into real and imaginary parts.

**Calculus : – **

**Differential Calculus :- **

Definition and diagram, Limit of a function at a point and continuity of a function in an interval. General characteristics of continuous functions on a closed interval. Differentiation of a function Algebraic trigonometric, differentiation of exponential and logarithmic functions, differentiation of a function of a function, tangent and normal, maxima and minima of a function of a variable , Limit of essential form of functions, L. Hospital’s law, Differentiability of a function at a point, Differentiation of joint and inverse functions, Rolle’s theorem, Mean value theorem, Taylor’s theorem, Progressive differentiation, Leibnitz’s theorem , Maclaurin and Taylor’s series, Critical points , Partial differentiation, Asymptotes Biometrics of curvature and tracing of curves.

**Integral Calculus :- **

Integration by parts and substitution, integration by partial fractions, definite integration, using definite integration to find the area under coplanar curves and to find the volume and surface area of â€‹â€‹sphere, cone and cylinder, definite integral as the limit of the sum. Arc calculus and field calculus on a rotating body.

**Differential equation :- **

Formulation of differential equation, types of differential equation, degree and order of differential equation, solving the following types of differential equations in examples of straight-line motion under gravity.

(i) d y / d x = f ( x )

(ii) d y / d x = f ( x , y )

(iii) d Â² y / d x Â² = f ( x )

Ordinary differential equations of first degree and first order, linear differential equations with constant coefficients, homogeneous linear differential equations, differential equations which are of first order but not of first degree, singular solution.

**Partial Differential Equation :-**

Generation of linear partial differential equations of first order, Lagrange’s method for P p + Q q = R , Lagrange’s method for two independent variables , Charpit’s method for solving nonlinear partial differential equations of the first order with variables, Coral’s method for solving second order partial differential equations of the type Rr + Ss + Tt = V, canonical form .

**Vector Analysis :- **

Types of vectors, triangle law of sum of vectors, combination of two vectors (force, velocity, acceleration), inter-relative velocity of vectors, scalar and vector multiplication of two vectors and their use, scalar multiplication of three vectors. Vector multiplication and their applications, Constraints of coplanar and coplanar vectors, Gradient, Divergence of point functions of three variables and application of curl, divergence and Stokes’ theorems , Differentiation and integration of functions of three variables.

**Statics :- **

Equilibrium of bodies subjected to three forces, general conditions of equilibrium under a planar force system, centre of gravity, common catenary, permanent and temporary equilibrium, finding the centre of gravity in two and three directions.

**Dynamics : –**

Motion of a projectile in a vertical plane under gravity, work, power and energy, and conservation of momentum, direct collision of smooth bodies, moment of inertia and products of inertia, principle of principal axis-magnitude ellipse D’Alembert.

**UP PGT Exam Syllabus Download :-Â **

pgt syllabusPGT Syllabus hindi

**UP PGT Exam Application Fees : –**

- General / OBCÂ CategoryÂ Fees :Â
**Rs.750 / –**only.Â - EWS Â Category Â Fees :Â
**Rs.650 / –**only.Â - SC / ST CategoryÂ Fees :
**Rs.450 / –**only.Â

**Steps To Check UP PGT Exam Result :-**

- Visit the Official Website ofÂ PGT Exam 2023 i.e,Â
**upsessb.org** - On the Home Page, Search for the
**UP PGT Exam Result.** - Then click on theÂ
**Result link.** - Enter yourÂ
**Roll No**Â andÂ**Password.** - Then click on theÂ
**Submit Button.** - Check theÂ
**Result.** - Download and take the Printout of the Result.

**Join the UP PGT Exam (Mathematics) Course :-Â **

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