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.
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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:
- Sets
- Relations and Functions
- Principle of Mathematical Induction
- Permutations and Combinations
- Complex Numbers
- Linear Inequalities
- Binomial Theorem
- Sequence and Series
- Elementary Number Theory
- Quadratic Equations
- Matrices and Determinants
- Two-Dimensional Geometry
- Trigonometric Functions
- Inverse Trigonometric Functions
- Differential Calculus
- Applications of Derivatives
- Integral Calculus
- 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.
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| Topic | Sub-topics |
| Sets | Set RepresentationsEmpty setFinite and Infinite setEqual setsSubsetsPowersetUniversal setVenn DiagramUnion and Intersection of setsComplement of a set |
| Relations and Functions | Ordered pairsCartesian productRelations:Pictorial DiagramsDomainCo-domainRange of a relationFunctions:Pictorial RepresentationDomainCo-domainRange of a functionReal Variables |
| Principle of Mathematical Induction | Principle of Mathematical InductionProcess of the proof by Induction |
| Permutations and Combinations | Fundamental Principle of CountingDerivationsFormulaeSimple Applications |
| Complex Numbers | Algebraic properties grand plane polar representation statement of Fundamental Theorem |
| Linear Inequalities | Linear inequalitiesRepresentation on Number LineGraphical solution of one variable and you variable absolute value inequality of Means |
| Binomial Theorem | Proof of Binomial theorem of Positive integral indicesPascal’s TriangleGeneral and Middle term binomial expansionsSimple applications |
| Sequence and Series | Sequences and Series of Arithmetic, Geometric, and Harmonic progressions Relation between A.M, G.M, and H.M. |
| Elementary Number Theory | Peano’s AxiomsPrinciples of InductionBasic Representation TheoremGreatest Integer Function Test of DivisibilityEuclid’s algorithmUnique Factorisation TheoremCongruence |
| Quadratic Equations | Real and Complex Number SystemsRelation between roots and coefficients Nature of rootsFormation of Quadratic Equation with given rootsSymmetric functions of rootsApplications |
| Matrices and Determinants | Order 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 Geometry | Cartesian 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 Functions | Positive and Negative angles Measuring angles in radiansDegrees and conversion from one measure to another Definition of trigonometric functionsGraphsIdentities |
| Inverse Trigonometric Functions | DefinitionRangeDomainPrincipal value branchesGraphs of inverse trigonometric functionsElementary properties of inverse trigonometric functions |
| Differential Calculus | PolynomialsRationalTrigonometricLogarithmicExponential functions Inverse functions Graphs of simple functions Limits, Continuity, and Differentiability Derivative of sumDerivative and Geometrical interpretation of a derivative |
| Applications of Derivatives | Applications of DerivativesRate of ChangeInc and Dec of functionsTangents and NormalsApproximationMaxima and Minima |
| Integral Calculus | Integral as an antiderivativeFundamental IntegralsTrigonometric, Exponential, and Logarithmic functionsIntegration by substitutionPartial Fractions |
| Statistics | Calculation 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
- Molecules and their Interaction Relevant to Biology
- Cellular Organization
- Fundamental Processes
- Cell Communication and Cell Signaling
- Developmental Biology
- System Physiology – Plant
- System Physiology – Animal
- Inheritance Biology
- Diversity of Life Forms
- Ecological Principles
- Evolution and Behavior
- Applied Biology
- Methods in Biology
Home Science
- Food Science
- Nutrition Science
- Institutional Management
- Clothing
- Textiles
- Resource Management
- Human Development
- Non – Formal Education and Extension Education
- Developmental and Educational Communication
- 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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