EMRS PGT Mathematics Syllabus 2025 S.No Topic Subtopics / Details 1 Sets Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets, Subsets of real numbers, Universal set, Venn diagrams, Union, Intersection, Difference, Complement, Properties of Complement 2 Relations & Functions Ordered pairs, Cartesian product, Number of elements in Cartesian product, Definition of relation, domain, co-domain, range, Function as a special relation, pictorial representation, Real valued functions: constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic, greatest integer; Sum, difference, product, quotient of functions 3 Trigonometric Functions Positive and negative angles, radians and degrees conversion, Definition using unit circle, sin²x + cos²x = 1, signs of trigonometric functions, Domain, range, graphs, sum and difference formulas, multiple angle identities 4 Complex Numbers & Quadratic Equations Need for complex numbe...
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