AP Inter 2nd Year Syllabus 2023 Maths IIA

MATHEMATICS – II(A) SECOND YEAR
S.No. TOPIC
1 Chapter-1: Complex Numbers
1.1 Complex number as and ordered pair of real numbers Fundamental operations
1.2 Representation of complex number in the form a+ib
1.3 Modules and Amplitude of a complex number- Illustrations
1.4 Geometrical and Polar representation of complex
number in Argand plane-Argand diagram
2 Chapter-2: De Moivre’s Theorem
2.1 De Moivre’s Theorem- Integral and Rational Indices
2.2 nth roots of unity-Geographical Interpretations- Illustrations
3 Chapter-3: Quadratic Expressions
3.1 Quadratic Expressions, Equations in one Variable
3.2 Sign of quadratic expressions-Change in signs and Maximum and Minimum
3.3 Quadratic Inequations
4 Chapter-4: Theory of Equations
4.1 Relation between the roots and the coefficients in an Equation
4.2 Solving an equation when two or more of its roots are connected by certain relations
4.3 Equations with real coefficients – occurrence of
complex roots in conjugate pairs and its consequences
4.4 Transformation of equations – Reciprocal equations
5 Chapter-5: Permutations and Combinations
5.1 Fundamental Principles of Counting – Linear and Circular permutations
5.2 Permutations of n dissimilar things taken r at a time
5.3 Permutations when repetitions are allowed
5.4 Circular Permutations
5.5 Permutations with Constant repetitions
5.6 Combinations- Definitions and Certain Theorems
6 Chapter – 6 : Binomial Theorem
6.1 Binomial Theorem for positive integral index
6.2 Binomial Theorem for Rational Index
6.3 Approximations using Binomial Theorem
7 Chapter-7: Partial Fractions
7.0 Rational Fractions
7.1 Partial Fractions of f(x)/g(x), when g(x) contains non-repeated linear factors
7.2 Partial Fractions of f(x)/g(x), when g(x) contains repeated and I or non-repeated
linear factors
7.3 Partial Fractions of f(x)/g(x), when g(x) contains irreducible factors
8 Chapter-8: Measure of Dispersion
8.1 Range
8.2 Mean Deviation

8.3 Variance and Standard Deviation of ungrouped /grouped data
8.4 Coefficient of Variation and analysis of frequency
distributions with equal means but different variances
9 Chapter-9: Probability
9.1 Random Experiments and Events
9.2 Classical definition of probability, Axiomatic approach and addition theorem of
probability
9.3 Independent and Dependent events, Conditional Probability,
Multiplication Theorem1 and Baye’s Theorem
10 Chapter -10: Random Variables and Probability Distributions
10.1 Random Variables
10.2 Theoretical discrete distributions Binomial and Poisson distributions
ADDITIONAL READING MATERIAL
For the benefit of students who want to appear for competitive exams based on COBSE
the following topics may be given as Additional Reading Material.
1 Experiment and Logarithmic Series
1.1 Exponential Series
1.2 Solved Problems
1.3 Logarithmic Series
1.4 Solved Problems
2 Linear Programming
2.1 Mathematical formulation of the LPP
2.2 Different types of LPP
2.3 Graphical method for solving a LPP
2.4 Solved Problems
Reference Books
Syllabus
Model Question Paper

MATHEMATICS – II(A) SECOND YEAR
S. No. TOPIC
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3. es¡Z düe÷kÕ\T
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4. ` |ü]#·j·T+
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5.
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7.
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8.
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10.
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