PGT syllabus- Mathematics & Science

PGT exam or the Post Graduate Teacher exam is conducted to test one’s skills and recruit candidates to teach for high school students in India. This test is conducted for two hours through an offline and objective mode of questioning. The subjects in the test largely depend on the candidate’s previous education and areas of interest.

In this article, we will look into the complete PGT exam Maths and Science syllabus, which will give you better clarity on how to plan and prepare for the test.

Mathematics Syllabus for PGT Exam

Most of the Mathematics topics in the PGT exam Maths syllabus are mentioned below:

  1. Sets
  2. Relations and Functions
  3. Principle of Mathematical Induction
  4. Permutations and Combinations
  5. Complex Numbers
  6. Linear Inequalities
  7. Binomial Theorem
  8. Sequence and Series
  9. Elementary Number Theory
  10. Quadratic Equations
  11. Matrices and Determinants
  12. Two-Dimensional Geometry
  13. Trigonometric Functions
  14. Inverse Trigonometric Functions
  15. Differential Calculus
  16. Applications of Derivatives
  17. Integral Calculus
  18. Statistics

Now, let us take a look into the sub-topics that must be covered to be ready to take the Mathematics part in the PGT exam.

SetsSet RepresentationsEmpty setFinite and Infinite setEqual setsSubsetsPowersetUniversal setVenn DiagramUnion and Intersection of setsComplement of a set
Relations and FunctionsOrdered pairsCartesian productRelations:Pictorial DiagramsDomainCo-domainRange of a relationFunctions:Pictorial RepresentationDomainCo-domainRange of a functionReal Variables
Principle of Mathematical InductionPrinciple of Mathematical InductionProcess of the proof by Induction
Permutations and CombinationsFundamental Principle of CountingDerivationsFormulaeSimple Applications
Complex NumbersAlgebraic properties grand plane polar representation statement of Fundamental Theorem
Linear InequalitiesLinear inequalitiesRepresentation on Number LineGraphical solution of one variable and you variable absolute value inequality of Means
Binomial TheoremProof of Binomial theorem of Positive integral indicesPascal’s TriangleGeneral and Middle term binomial expansionsSimple applications
Sequence and SeriesSequences and Series of Arithmetic, Geometric, and Harmonic progressions Relation between A.M, G.M, and H.M.
Elementary Number TheoryPeano’s AxiomsPrinciples of InductionBasic Representation TheoremGreatest Integer Function Test of DivisibilityEuclid’s algorithmUnique Factorisation TheoremCongruence
Quadratic EquationsReal and Complex Number SystemsRelation between roots and coefficients Nature of rootsFormation of Quadratic Equation with given rootsSymmetric functions of rootsApplications
Matrices and DeterminantsOrder two and three Determinants and MatricesProperties of DeterminantsEvaluation of DeterminantsArea of triangles and DeterminantsAddition and Multiplication of MatricesAdjoint and Inverse of a matrix
Two-Dimensional GeometryCartesian system Distance formula Section formula Area of triangle Condition of collinearity of three points Centroid and in-center of the triangleLocusTranslation of AxesSlope of a line Parallel and Perpendicular lines Intercepts of line
Trigonometric FunctionsPositive and Negative angles Measuring angles in radiansDegrees and conversion from one measure to another Definition of trigonometric functionsGraphsIdentities
Inverse Trigonometric FunctionsDefinitionRangeDomainPrincipal value branchesGraphs of inverse trigonometric functionsElementary properties of inverse trigonometric functions
Differential CalculusPolynomialsRationalTrigonometricLogarithmicExponential functions Inverse functions Graphs of simple functions Limits, Continuity, and Differentiability Derivative of sumDerivative and Geometrical interpretation of a derivative
Applications of DerivativesApplications of DerivativesRate of ChangeInc and Dec of functionsTangents and NormalsApproximationMaxima and Minima
Integral CalculusIntegral as an antiderivativeFundamental IntegralsTrigonometric, Exponential, and Logarithmic functionsIntegration by substitutionPartial Fractions
StatisticsCalculation of Mean, Median, and ModeGrouped and Ungrouped DataMeasures of DispersionMean DeviationVarianceStandard DeviationAnalysis of Frequency Distribution

With this, we have covered most of the sub-topics that are more likely to appear in the Mathematics section of the PGT exam.

Science syllabus for PGT Exam

Under the science subject, as we know, there are more branches like home science and life science. Let us now cover the major portion of those for our science preparation for the PGT Exam.

Life Science

  1. Molecules and their Interaction Relevant to Biology
  2. Cellular Organization 
  3. Fundamental Processes
  4. Cell Communication and Cell Signaling
  5. Developmental Biology
  6. System Physiology – Plant
  7. System Physiology – Animal
  8. Inheritance Biology
  9. Diversity of  Life Forms
  10. Ecological Principles
  11. Evolution and Behavior
  12. Applied Biology
  13. Methods in Biology 

Home Science

  1. Food Science
  2. Nutrition Science
  3. Institutional Management
  4. Clothing
  5. Textiles
  6.  Resource Management
  7.  Human Development 
  8.  Non – Formal Education and Extension Education
  9.  Developmental and Educational Communication
  10.  Methods of Research

With this, we hope you got an idea of the PGT exam syllabus of Mathematics and Science subjects. For more information related to PGT, keep reading our blogs at Teach Mint. Teach Mint is the one-stop destination for all the teaching-related competitive exams in India, where everyone is trained uniquely to stand out of the crowd and land their dream jobs.

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