AP ఇంటర్మీడియట్ మ్యాథమెటిక్స్ సిలబస్ 2023-24(AP Intermediate Mathematics Syllabus 2023-24) - AP ఇంటర్ 2వ సంవత్సరం గణితం సిలబస్ PDF డౌన్‌లోడ్ చేసుకోండి

AP ఇంటర్మీడియట్ ఫలితాలు 2024

AP ఇంటర్మీడియట్ హాల్ టికెట్ 2024

AP ఇంటర్మీడియట్ సిలబస్ 2024

AP ఇంటర్మీడియట్ పరీక్షా సరళి 2024

AP ఇంటర్మీడియట్ టైమ్ టేబుల్ 2024

AP ఇంటర్మీడియట్ మోడల్ పేపర్లు 2024

1

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

2

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

3

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

4

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

5

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

6

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

7

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

8

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

9

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

10

Chapter -10:

Random Variables and Probability Distributions Introduction

• 10.1 Random Variables
• 10.2 Theoretical discrete distributions Binomial and Poisson distributions

1

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

2

Chapter-2:

System of Circles Introduction

• 2.1 Angle between two intersecting circles
• 2.2 Radical axis of two circles

3

Chapter-3:

Parabola Introduction

• 3.1 Conic Sections
• 3.2 Equation of tangent and normal at a point on the Parabola

4

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

5

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

6

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

7

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

8

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