The Uttar Pradesh Secondary Education Service Selection Board (UPSESSB) is responsible for setting the UP TGT Maths syllabus. The syllabus includes topics such as Geometry, Composite Numbers, Algebra, Statistics, Trigonometry, Definition of Calculus, and more. Candidates who are planning to appear for the UP TGT Maths Exam should review the entire syllabus to get an overview of the questions that will be asked in the exam. This will help them to prepare effectively and perform well in the examination. We have also provided the complete syllabus for UP TGT Mathematics in this article.
UP TGT Mathematics 2023 Syllabus
- Commerce/Math
- Statistics
- Algebra
- Determinant
- Set theory
- Real analysis
- Trigonometric
Detailed Syllabus:
- Algebra-radicals, polynomials and their factors, logarithms, linear equations of two unknown quantities, the greatest common polynomial of polynomials and the least common multiple of an exponential simultaneous equation of three unknown quantities, the factors of quadratic polynomials, quadratic equations, ratios and proportions, set of numbers operations. , Mapping.
- Tabular-Definition, Subsystems and Sub-junctions, Citizen Extensions up to 3×3 Sections General Properties of Arithmetic With the help of Yammer’s law Solve the body of n linear equations (n = 3), type of matrix, sum of matrices up to 3×3 order. The solution of the simultaneous equation of three unknown sums with the inverse matrix of the product, the transform matrix, symmetric and odd symmetric matrix.
- Equation theory, symmetric functions of roots, arithmetic, geometric, harmonic, ranges, and the sum of the squares of natural numbers and the series of cubes. Sum of permutation and accumulation, binomial theorem, exponential and logarithmic series
- Principles of probability-sum and multiplication.
- Real analysis – Receipts of real numbers, Calculations of sets of distances, Macroeconomics, Variable sets, Condensed sets, Derivative sets, Dense sets, Compact sets, The complete set including the Bolgens-Wistras theorem. Sequence theory on the sequence-sequence limit of real numbers, official sequence, divergence, sequence bounded sequence, unified sequence, concepts of convergent sequences, Koshi sequence, boundary-related Koshi theorem and convergence of real sequence.
- The boundary and continuum are the boundary values of the real-valued function, the left-side and south-side boundary, the continuum of the function, the characteristics of the continuous function, the discontinuity and its variants.
- Trigonometric-circular measurements and trigonometric ratios of specific angles, the sum and difference of two angles and the trigonometric ratios of the refractive and refractive angles of an angle,
- Trigonometric bests, trigonometric equations, solution of triangles, radii and properties of perimeter end and external circles, general properties of inverse circular functions.
- Composite numbers – their sum and product, the demise theorem and its use of height and distance. Arithmetic function of summation loop, circular function and hyper. Bolik function – Separation into actual and hypothetical parts.
- Geometry-Bodhayan Pythagoras theory and its extension, the circle and the segment, the tangent of the arc and the chord of the circle, the alternating segment and its angle, the chord of the chord and the rectangles formed from them, the symmetry of the linear plane planes.
- Coordinate geometry – simple line pair denoted by the terrestrial plane, line, the second-degree massively quadratic equation. The equation between the angle between them and the pair of bisectors, standard equations and parameter equations of conic (circles, parabola, ellipse and hyperbola) in right-angled coordinates.
- Constraints to represent line pairs, circles, parabola ellipse and hyperbola by quadratic mass equation, derive equations of circle, parabola, ellipse and hyperbola with the help of transfer of origin and axes, tangent and longitudinal at any point of conic. The intersection of the line with the conic, the marginal position, the restriction of its tangent,
- Parameter equation of tangents, tangent pair on conic from waha point. Restriction of the equation of tangent to or tangent at a point of a conic, the standard equation of conic in polar coordinates (two-dimensional), the three-dimensional geometry of the sphere, cone and cylinder.
