AP Board Intermediate 1st Year Maths Syllabus 2024
Andhra Pradesh Intermediate 1st Year Maths Syllabus 2024 published by bieap.apcfss.in. Here in this post we have given official published AP Board Intermediate 1st Year Maths Syllabus 2024 PDF. In Pdf both medium Telugu and English are available.
Andhra Pradesh Board Class 11 Maths Syllabus 2023
Board |
Board of Intermediate Education (BIEAP) |
Class |
11 / 1st Year / Inter |
Topic |
Syllabus |
Subject |
Maths |
Maths Syllabus (Telugu Medium)
AP Board Intermediate 1st Year Maths I (A) (Telegu) Syllabus
AP Board Intermediate 1st Year Maths Syllabus I(B) |
- Maths Syllabus (English Medium)
Mathematics – I (A)
1.) Functions
Introduction
1.0) Ordered Pairs
1.1) Types of Function-Definitions
1.2) Inverse Functions and Theorems
1.3) Real valued functions (Demain, Range and Inverse)
2.) Mathematical Induction
Introduction
2.1) Principles of Mathematical Induction and Theorems
2.2) Applications of Mathematical Induction
2.3) Problems on divisibility
3.) Matrices
Introduction
3.1) Types of Matrices
3.2) Scalar multiple of a matrix and multiplication of matrices
3.3) Transpose of a matrix
3.4) Determinants
3.5) Adjoint and Inverse of a Matrix
3.6) Consistency and Inconsistency of system of Simultaneous EquationsRank of a Matrix
3.7) Solution of Simultaneous Linear Equations
4.) Addition of Vectors
Introduction
4.1) Vectors as a triad of real numbers, some basic concepts
4.2) Classification (Types) of Vectors
4.3) Sum (Addition) of Vectors
4.4) Scalar Multiplication of a vector
4.5) Angle between two non- zero vectors
4.6) Linear Combination of Vectors
4.7) Components of a vectors in Three Dimensions
4.8) Vector Equations of Line and Plane
5.) Product of Vectors
Introduction
5.1) Scalar or dot product of two vectors-Geometrical interpretation
Orthogonal Projections
5.2) Properties of dot product
5.3) Expression for Scalar(dot) product, Angle between two vectors
5.4) Geometrical Vector methods
5.5) Vector equation of a plane –normal form
5.6) Angle between two planes
5.7) Vector product (cross product) of two vectors and properties
5.8) Vector product in (i,j,k) system
5.9) Vector Areas
5.10) Scalar triple product
5.11) Vector equation of a plane-different forms, skew lines, shortest distance-
plane, condition for coplanarity etc.
5.12) Vector triple product-results
5.13) Solved Problems
6.) Trigonometric Ratios upto Transformations
Introduction
6.1) Trigonometric ratios –variation –Graphs and periodicity
6.2) Trigonometric ratios of compound angles
6.3) Trigonometric ratios of multiple and sub- multiple angles
6.4) Sum and product transformation
7.) Trigonometric Equations
Introduction
7.1) General solutions of trigonometric equations
7.2) Simple trigonometric equations-solutions
8.) Inverse Trigonometric Functions
Introduction
8.1) To reduce a trigonometric function into a bijective function
8.2) Graphs of Inverse trigonometric functions
8.3) Properties of inverse trigonometric functions
9.) Hyperbolic Functions
Introduction
9.1) Definitions of Hyperbolic Functions, graphs
9.2) Definitions of inverse Hyperbolic Functions and graphs
9.3) Additions formula of Hyperbolic Functions
10.) Properties of Triangles
Introduction
10.1) Relation between the sides and angles of a triangle
10.2) Sine, cosine and Tangent Rules- Projection Rules
10.3) Half angle formulae and area of a triangle
10.4) Incircle and excircles of a triangle
Appendix
(No Question is to be set in IPE, Mathematics-IA from the topics mentioned below)
1.) Sets
Introduction
1.1) Set
1.2) Examples
1.3) Representation of a Set
1.4) Classification (Types) of sets
Mathematics – I (B)
Prerequisites – Introduction
0.1) Prerequisites
1) Locus
Introduction
1.1) Definition of Locus- IIIustrations
1.2) Equation of Locus-Problems connected to it
2) Transformation of Axes
Introduction
2.1) Transformation of axes-Rules,derivations and illustratiorts
2.2) Rotation of axes-Derivations-Illustrations
3) The Straight Line – Introduction
3.1) Revision of fundamental results
3.2) Straight line- Normal form-Illustrations
3.3) Straight line-Symmetric form
3.4) Straight line-Reduction into various forms
3.5) Intersection of two straight lines
3.6) Family of straight lines-Concurrent lines
3.7) Condition for Concurrent lines
3.8) Angle between two lines
3.9) Length of the perpendicular from a point to a line
3.10) Distance between two parallel lines
3.11) Concurrent lines- Properties related to a –triangle
4) Pair of Straight Lines – Introduction
4.1) Equations of a pair of lines passing through the origin Angle between a pair
of lines
4.2) Condition for perpendicular and coincident lines, bisectors of angles
4.3) Pair of bisectors of angles
4.4) Pair- of lines – Second degree general equation
4.5) Conditions for parallel lines- Distance between them, Point of intersection of
pair of lines
4.6) Homogenising a second degree equation with a first degree equation in x
and y
5) Three Dimensional Coordinates – Introduction
5.1) Coordinates
5.2) Section formula
5.3) Solved Problems
6) Direction Cosines and Direction Ratios – Introduction
6.1) Direction cosines
Direction ratios
7) The Plane – Introduction
7.1) Cartesian equation of a plane- Simple illustrations
8) Limits and Continuity – Introduction
8.1) Intervals and neighbourhoods
8.2) Limits
8.3) Standard limits
8.4) Continuity
9) Differentiation – Introduction
9.1) Derivative of a function
9.2) Elementary properties
9.3) Trigonometric, Inverse Trigonometric, Hyperbolic, Inverse Hyperbolic
Functions- Derivatives
9.4) Methods of differentiation
9.5) Second Order Derivatives
10) Applications of Derivatives Introduction
10.1) Errors and approximations
10.2) Geometrical interpretation of the derivative
10.3) Equations of tangent and normal to a curve
10.4) Lengths of tangent, normal, subtangent and subnormal
10.5) Angle between two curves and condition for orthogonality of curves
10.6) Derivatives as a rate of change
10.7) Rolle’s Theorem and Lagrange’s Mean Valve Theorem
10.8) Increasing and Decreasing functions
10.9) Maxima and Minima
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