AP / TS Intermediate Mathematics Study Material 2023 pdf: Jr Inter Maths Text Book, Work Book, Important Question Papers, Video Lessons are provided here for Students who are Studying MPC, MEC in Andhra Pradesh & Telangana States. This page contains the Syllabus and Material for Maths 1A & Maths – 1B.
From 2013-14 Academic Year, Mathematics is divided into two textbooks such as Intermediate First year Mathematics Text Book – Paper IA and Intermediate First Year Mathematics Text Book – Paper IB.
- The textbook of Paper – IA consists of the syllabus from the units ‘Algebra’, ‘Vector Algebra’
and “Trigonometry’. - The textbook of Paper – IB comprises lessons from the units ‘Coordinate geometry”, “Three-dimensional coordinate geometry” and “Calculus’.
It is, in this context, resolved that each of the question Papers – IA and IB, in the Intermediate Public Examinations be set for a maximum of 75 marks, with a considerable choice. Junior Intermediate students seeking Mathematics are therefore required to have a study plan and a steady preparation in order to secure marks to the maximum extent. Steady preparation means having an idea of important and important chapters and regularly practicing them conceptually and theoretically. They are advised to list out the chapters which can fetch them maximum marks with minimum effort. Before proceeding further, the students are advised to assess themselves and their capabilities.
The students should review the previous question papers and come to an idea of what chapters and questions being repeatedly stressed. The students in this context should assess how they could have answered the same question paper. This assessment will help the students gain an idea of the concepts, theorems, solved examples and exercise problems and improve their performance as far as the chapters are concerned.
Let us first look into the syllabus and its contents,
AP Inter 1st Year Maths IA Model Paper 2023 Pdf |
1st Inter Maths – 1A Lesson wise Study Guide
| Lesson | Sub- Topics | Removed Topics due to COVID-19 in AP | Removed Topics due to COVID-19 in TS | Study Material |
| Functions | Types of functions – Definitions. Inverse functions and Theorems. Domain, Range, Inverse of real-valued functions. | 1.2 Inverse Functions and theorems
| Inverse Functions & Theorems | Click Here to Download |
| Mathematical Induction | Principle of Mathematical Induction & Theorems. Applications of Mathematical Induction. Problems on divisibility. | This Chapter Removed | This Chapter Removed | |
| Matrices | Types of matrices Scalar multiple of a matrix and multiplication of matrices Transpose of a matrix Determinants Adjoint and Inverse of a matrix Consistency and inconsistency of Equations- Rank of a matrix Solution of simultaneous linear equations | 3.4.8 Properties of determinants 3.4.9 Notations 3.4.10 Solved problems Exercise.3(d) Problems II and III Proof of A-1 = adjA/!A! and 3.5.5 theorem 3.6.8 to 3.6.13 (Consistent and inconsistent system) including exercise 3g 3.7.4 to 3.7.9 Gauss Jordan Method and related problems solution of a homogenous linear Equations | 3.4.8: Properties of Determinants related Problems and Examples 3.6: Consistency and inconsistency of system of simultaneous equations 3.7: Solutions of simultaneous linear equations Gauss-Jordan Method 3.7.7 onwards | |
VECTOR ALGEBRA Addition of Vectors | Vectors as a triad of real numbers. Classification of vectors. Addition of vectors. Scalar multiplication. Angle between two non zero vectors. Linear combination of vectors. Component of a vector in three dimensions. Vector equations of line and plane including their Cartesian equivalent forms. | Click Here to Download | ||
Multiplication of Vectors: Product of Vectors | Scalar Product – Geometrical Interpretations – orthogonal projections. Properties of dot product. Expression of dot product in i, j, k system – Angle between two vectors. Geometrical Vector methods. Vector equations of plane in normal form. Angle between two planes. Vector product of two vectors and properties. Vector product in i, j, k system. Vector Areas. Scalar Triple Product.Vector equations of plane in different forms, skew lines, shortest distance and their Cartesian equivalents. Plane through the line of intersection of two planes, condition for coplanarity of two lines, perpendicular distance of a point from a plane, Angle between line and a plane. Cartesian equivalents of all these results Vector Triple Product – Results | 5.10 to 5.13: Scalar Triple product and onwards including exercise 5(c) | Vector Equation of a plain: Different forms, skew lines, shortest distance plain, condition for co-planarity etc. Vector triple product, results | Click Here to Download |
| TRIGONOMETRY | Trigonometric Ratios up to Transformations : Graphs and Periodicity of Trigonometric functions. Trigonometric ratios and Compound angles. Trigonometric ratios of multiple and sub-multiple angles. Transformations – Sum and Product rules. | Periodicity and Extreme values | ||
| Trigonometric Equations | General Solution of Trigonometric Equations. Simple Trigonometric Equations – Solutions. | Total Lesson Removed | Total Lesson Removed | |
| Inverse Trigonometric Functions | To reduce a Trigonometric Function into a bijection. Graphs of Inverse Trigonometric Functions. Properties of Inverse Trigonometric Functions. | Total Lesson Removed | Total Lesson Removed | |
| Hyperbolic Functions | Definition of Hyperbolic Function – Graphs. Definition of Inverse Hyperbolic Functions – Graphs. Addition formulas of Hyperbolic Functions. | Definition of Inverse Hyperbolic Functions – Graphs. | Click Here to Download | |
| Properties of Triangles | The relation between sides and angles of a Triangle Sine, Cosine, Tangent and Projection rules. Half angle formulae and areas of a triangle In-circle and Ex-circle of a Triangle. | Problems related to Heights and distances and solved problems 27 and 28 Problems 13 to 18 in III exercise 10(a) |
1st Inter Maths – 1B Lesson wise Study Guide
| Lesson | Sub- Topics | Removed Topics due to COVID-19 (AP) | Removed Topics due to COVID-19 (TS) | Study Material |
| Locus | Definition of locus – Illustrations. To find equations of locus – Problems connected toit | Click Here to Download | ||
| Transformation of Axes | Transformation of axes – Rules, Derivations and Illustrations. Rotation of axes – Derivations – Illustrations | Lesson Removed | ||
| The Straight Line | Revision of fundamental results. Straight line – Normal form – Illustrations. Straight line – Symmetric form. Straight line – Reduction into various forms. Intersection of two Straight Lines. Family of straight lines – Concurrent lines. Condition for Concurrent lines. Angle between two lines. Length of perpendicular from a point to a Line. Distance between two parallel lines. Concurrent lines – properties related to a triangle. | Click Here to Download | ||
| Pair of Straight lines | Equations of pair of lines passing through origin, angle between a pair of lines. Condition for perpendicular and coincident lines, bisectors of angles. Pair of bisectors of angles. Pair of lines – second degree general equation. Conditions for parallel lines – distance between them, Point of intersection of pair of lines. Homogenizing a second degree equation with a first degree equation in X and Y. | Proofs of all Theorems and 4.3.4 including exercise 4(a) (Pages 91 – 97) | 4.3 Pair of bisectors of angles Exercise 4(a) and related problems 4.5 Condition of pair of parallel lines and distance between them and point of intersection of pair of lines Exercise 4(b) and related problems | Click Here to Download |
| Three Dimensional Coordinates | Coordinates. Section formulas – Centroid of a triangle and tetrahedron. | Click Here to Download | ||
| Direction Cosines and Direction Ratios | Direction Cosines. Direction Ratios | 6.2.6 to 6.2.11 Angle between two lines and problems related to it 140 – 149 pages | Click Here to Download | |
| Plane | Cartesian equation of Plane – Simple Illustrations. | 7.1.12- Angle between two planes and problems related to it (159 page) | Exercise 7(a) Section II & III Related examples | Click Here to Download |
| Limits and Continuity | Intervals and neighborhoods Limits. Standard Limits. Continuity. | 8.4 Continuity | Click Here to Download | |
| Differentiation | Derivative of a function. Elementary Properties. Trigonometric, Inverse Trigonometric, Hyperbolic, Inverse Hyperbolic Function – Derivatives. Methods of Differentiation. Second Order Derivatives | 9.3 Problems of inverse trigonometric functions Exercise 9(c) Section III Deleted Exercise 9(d) Deleted | Click Here to Download | |
| Applications of Derivatives | Errors and approximations. Geometrical Interpretation of a derivative. Equations of tangents and normals. Lengths of tangent, normal, sub tangent and sub normal. Angles between two curves and condition for orthogonality of curves. Derivative as Rate of change. Rolle’s Theorem and Lagrange’s Mean value theorem without proofs and their geometrical interpretation. Increasing and decreasing functions. Maxima and Minima. | 10.1 to 10.1.5 including exercise 10(a) ` Errors and approximations (255 – 261) 10.4 – Lengths of tangent, Sub tangent, Normal and subnormal including ex-10(c) (271 – 274) – Derivate as a rate of change including ex-10(e) – Rolle’s and Legrange’s Mean value theorems (278 – 290) | Derivative as a rate of change, Roles, lagranges, mean value theorems, Increasing and decreasing functions, and related Problems and Examples | Click Here to Download |
Inter 1st Year Model Papers / Previous Papers and Important Questions
