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TGBIE · 2nd Year · MPC

Mathematics IIA

TS Intermediate 2nd Year Mathematics IIA (Algebra, Probability & Statistics) — 10 chapters based on the official TGBIE Annual Plan 2025-26. Paper code 0266, 75 marks, 3 hours.

Study Resources

Syllabus — 10 Chapters (2025-26)

1
Complex Numbers
Ordered pair form, a+ib form, Modulus, Amplitude, Argand plane, Polar form
2
De Moivre's Theorem
De Moivre's theorem for integral and rational indices, nth roots of unity
3
Quadratic Expressions
Quadratic expressions in one variable, sign of quadratic, Max/Min values, Quadratic inequations
4
Theory of Equations
Roots and coefficients relation, Solving equations, Complex roots in conjugate pairs, Reciprocal equations
5
Permutations and Combinations
Fundamental principle, Linear and circular permutations, nPr, nCr, Permutations with repetition
6
Binomial Theorem
Binomial theorem for positive integral index, Rational index (without proof), Approximations
7
Partial Fractions
Partial fractions with non-repeated, repeated and irreducible quadratic factors
8
Measures of Dispersion
Range, Mean deviation, Variance, Standard deviation, Coefficient of variation
9
Probability
Random experiments, Classical definition, Axiomatic approach, Addition theorem, Conditional probability, Bayes' theorem
10
Random Variables and Probability Distributions
Random Variables, Binomial distribution, Poisson distribution
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