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Mathematics IIA - 12
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Algebra
1. Quadratic Expressions
1. Quadratic Expressions, Equations in one Variable
2. Sign of Quadratic Expressions - Change in signs
Maximum and Minimum Values
Quadratic Inequations
2. Theory of Equations:
The Relation Between in roots and Coefficient in an Equation
Solving the Equation when two or more roots of it are connected by certain relations
Equations with real Coefficients - Occurence of Complex Roots in Conjugate Pairs and Consequences
Transformation of Equations - Reciprocal Equations
3. Matrices
Types of Matrices
Scalar Multiple of a Matrix and Multiplication of Matrices
Transpose of a Matrix
Determinants
Adjoint and Inverse of a matrix
1
Solution of Simultaneous linear Equations
Consistency and Inconsistency of Equations - Rank of a Matrix
4. Permutations and Combinatons
1
Definition of Linear and Circular Permutations
Permutations of n Disimilar Things Taken r at a time Theorems
Permutations with Repetitions Allowed
Circular Permutations
Permutations - Some things are alike and Rest Different
Combinations Defintions and Illustrations
Certain Theorems On Combinations
5. Binomial Theorem
Binomial Theorem for Positive integral Index
Binomial Theorem for Rational Index
Approximations using binomial theorem
6. Partial Fractions:
Partial Functions of f(x)/g(x) when g(x) contains non- Repeated Linear Fractors
Partial Fractions of f(x)/g(x) when g(x) Contains Repeated and non Repeated linear fractors
Partial Fractions of F9x)/g(x) when g(x) Contains irreducible fractors
7. Exponent and Logarithmic Series
Expansion for ex for Real x
Expansion of log e (1+X) condition on x
probability
1. Probability
Random Experiments and Events
Classical Definition of Probability, Axiomatic Approach and Addition theorem of Probability
Independent and Dependent events conditional Probability - Multiplication theorem and Baye's Theorem
2. Random Variables and Probability Distributions
Random Variables
Theoretical Discrete Distributions, Binomial and Poisson Distributions
2nd
Andhra Pradesh
Board of Intermediate Education
Mathematics
Yearbook
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