AP Board Intermediate 2nd Year Maths Syllabus 2024
Andhra Pradesh Intermediate 2nd Year Maths Syllabus 2024 published by bieap.apcfss.in. Here in this post we have given official published AP Board Intermediate 2nd Year Maths Syllabus 2024 PDF. In Pdf both medium Telugu and English are available.
Andhra Pradesh Board Class 12 Maths Syllabus 2024
Board |
Board of Intermediate Education (BIEAP) |
Class |
12 / 2nd Year / Inter |
Topic |
Syllabus |
Subject |
Maths |
- Maths Syllabus (Telugu Medium)
AP Board Intermediate 2nd Year Maths II (B) Syllabus |
- Maths Syllabus (English Medium)
MATHEMATICS – II(A)
Chapter-1: Complex Numbers
Introduction
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
Chapter-2: De Moivre’s Theorem
Introduction
2.1) De Moivre’s Theorem- Integral and Rational Indices
2.2) nth roots of unity-Geographical Interpretations- Illustrations
Chapter-3: Quadratic Expressions
Introduction
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
Chapter-4: Theory of Equations
Introduction
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
Chapter-5: Permutations and Combinations
Introduction
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
Chapter – 6 : Binomial Theorem
Introduction
6.1 Binomial Theorem for positive integral index
6.2 Binomial Theorem for Rational Index
6.3 Approximations using Binomial Theorem
Chapter-7: Partial Fractions
Introduction
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
Chapter-8: Measure of Dispersion
Introduction
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
Chapter-9: Probability
Introduction
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
Chapter -10: Random Variables and Probability Distributions
Introduction
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.
- Experiment and Logarithmic Series
1.1 Exponential Series
1.2 Solved Problems
1.3 Logarithmic Series
1.4 Solved Problems
- 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(B)
Chapter-1: Circle
Introduction
1.1 Equation of a circle, standard form, centre and radius
1.2 Position of a point in the plane of a circle Definition of a tangent
1.3 Position of a straight line in the plane of a circle condition for a line to be tangent
1.4 Chord of contact and polar
1.5 Relative Positions of two circles
Chapter-2: System of Circles
Introduction
2.1 Angle between two intersecting circles
2.2 Radical axis of two circles
Chapter-3: Parabola
Introduction
3.1 Conic Sections
3.2 Equation of tangent and normal at a point on the Parabola
Chapter-4: Ellipse
Introduction
4.1 Equation of ellipse in standard form, Parametric equations
4.2 Equation of tangent and normal at a point on the ellipse
Chapter-5: Hyperbola
Introduction
5.1 Equation of hyperbola in standard form Parametric equations
5.2 Equation of Tangent and Normal at a point on the hyperbola
Chapter-6: Integration
Introduction
6.1 Integration as the inverse process of differentiation, standard forms and properties of integrals
6.2 Method of substitution-Integration of algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions-Integration by parts
6.2(A) Integration by the method of substitution-Integration of algebraic and trigonometric functions
6.2(B) Integration by parts-Integration of exponential, logarithmic and inverse trigonometric functions
6.3 Integration- Partial fractions method
6.4 Reduction formulae
Chapter-7: Definite Integrals
Introduction
7.1 Define Integral as the limit of sum
7.2 Interpretation of definite integral as an area
7.3 The Fundamental Theorem of Integral Calculus
7.4 Properties
7.5 Reduction Formulae
7.6 Applications of definite integral to areas
Chapter-8: Differential Equation
Introduction
8.1 Formation of differential equations-Degree and order of an ordinary differential Equation
8.2 Solving Differential Equations
8.2 (a) Variables separable method
8.2(b) Homogenous Differential Equation
8.2(c) Non-Homogeneous Different Equations
8.2(d) Linear Differential Equations
Reference Books Syllabus
Model Question Paper
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