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AP EAPCET 2024 Mathematics Syllabus, Check Weightage of Important Topics, Best Books

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Collegedunia Team

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AP EAPCET 2024 Mathematics syllabus consists of topics like Algebra, Trigonometry, Vector Algebra, Measures of Dispersion and Probability, Coordinate Geometry, and Calculus. Probability, and Vectors of TS EAMCET 2024 Mathematics syllabus has the highest weightage of 10-15%. You have to attempt a total 80 questions out of total 160, with +1 mark for each correct answers.

AP EAPCET 2024 is a state level examination. It is conducted by Jawaharlal Nehru Technological University (JNTU), Kakinada. You will be allotted a total 3 hours time duration to complete the paper. AP EAPCET 2024 question will be displayed on a computer screen, and you will be required to click on the correct response. Instructions related to AP EAPCET 2024 will be given within the question pallete.

Some best books for AP EAPCET 2024 includes Class XI & XII Mathematics by R.D. Sharma, Problems Plus In IIT Mathematics by A. Das Gupta, etc. You are required to practice previous year question papers along with the best books having AP EAMCET 2024 syllabus to ace the exam.

Mathematics Important Topics

AP EAPCET 2024 Mathematics Topics

The topics along with the sub-topics of the AP EAPCET 2024 Mathematics syllabus are discussed in the below table:

Topics Sub-topics
Algebra
  • Functions: Types of functions – Definitions - Domain, Range
  • Matrices: Types of matrices - Scalar multiple of a matrix and multiplication of matrices - Transpose of a matrix – Determinants (excluding properties of determinants) - Adjoint and Inverse of a matrix - Rank of a matrix - Solution of simultaneous linearequations (Excluding Gauss Jordan Method)
  • Complex Numbers: Complex number as an ordered pair of real numbers- fundamental operations - Representation of complex numbers in the form a+ib - Modulus and amplitude of complexnumbers–Illustrations - Geometrical and Polar Representation of complex numbers in Argand plane-Argand diagram
  • De Moivre’s Theorem: De Moivre’s theorem- Integral and Rational indices - nth roots of unity- Geometrical Interpretations–Illustrations.
  • Quadratic Expressions: Quadratic expressions, equations in one variable - Sign of quadratic expressions – Change in signs – Maximum and minimum values, Quadratic Inequations
  • Theory of Equations: The relation between the roots and coefficients in an equation - Solving the equations when two or more roots of it are connected by certain relation - Equation with real coefficients, occurrence of complex roots in conjugate pairs and its consequences, Transformation of equations- Reciprocal equations
  • Permutations and Combinations: Fundamental Principle of counting – linear and circular permutations- Permutations of ‘n’ dissimilar things taken ‘r’ at a time - Permutations when repetitions allowed - Circular permutations - Permutations with constraint repetitions - Combinations-definitions, certain theorems
  • Binomial Theorem: Binomial theorem for positive integral index, Binomial theorem for rational Index (without proof). Approximations using Binomial theorem
  • Partial fractions: Partial fractions of f(x)/g(x) when g(x) contains non –repeated linear factors - Partial fractions of f(x)/g(x) where both f(x) and g(x) are polynomials and when g(x) contains repeated and/or non-repeated linear factors - Partial fractions of f(x)/g(x) when g(x) contains irreducible factors
Trigonometry
  • Trigonometric Ratios upto 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.
  • Hyperbolic Functions: Definition of Hyperbolic Function – Graphs - Definition of Inverse Hyperbolic Functions – Graphs - Addition formulae of Hyperbolic Functions.
  • Properties of Triangles: 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 Excircle of aTriangle (excluding problems related to heights and distances).
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.
  • 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
Measures of Dispersion
  • Measures of Dispersion - Range - Mean deviation - Variance and standard deviation of ungrouped/grouped data, coefficient of variation and analysis of frequency distribution with equal means but different variancies.
  • 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.
  • Random Variables and Probability Distributions: Random Variables - Theoretical discrete distributions – Binomial and Poisson Distributions
Coordinate Geometry
  • Locus: Definition of locus –Illustrations-To find equations of locus-Problems connected toit.
  • 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.
  • 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 (excluding proofs of all the theorems only) - 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.
  • Circle : Equation of circle -standard form-centre and radius equation of a circle with a given line segment as diameter & equation of circle through three non collinear points - parametric equations of a circle - Position of a point in the plane of a circle – power of a point-definition of tangent-length of tangent - Position of a straight line in the plane of a circle-conditions for a line to be tangent – chord joining two points on a circle – equation of the tangent at a point on the circle- point of contact-equation of normal-Chord of contactpole and polar-conjugate points and conjugate lines- equation of chord with given middle point, Relative position of two circles- circles touching each other externally, internally common tangents –centers of similitude- equation of pair of tangents from an external point.
  • System of circles: Angle between two intersecting circles –condition for orthogonality - Radical axis of two circles- properties- Common chord and common tangent of two circles –radical centre - Intersection of a line and a Circle.
  • Parabola: Conic sections –Parabola- equation of parabola in standard form-different forms of parabola- parametric equations, Equations of tangent and normal at a point on the parabola (Cartesian and Parametric)- conditions for straight line to be a tangent.
  • Ellipse: Equation of ellipse in standard form- Parametric equations, Equation of tangent and normal at a point on the ellipse (Cartesian and parametric)- condition for a straight line to be a tangent.
  • Hyperbola: Equation of hyperbola in standard form- Parametric equations - Equations of tangent and normal at a point on the hyperbola (Cartesian and parametric) - conditions for a straight line to be tangent-Asymptotes.
  • Three Dimensional Coordinates: Coordinates - Section formulae - Centroid of a triangle and tetrahedron.
  • Direction Cosines and Direction Ratios: Direction Cosines –Direction Ratios (Excluding angle between two lines).
  • Plane: Cartesian equation of Plane –Simple Illustrations (Excluding angle between two planes).
Calculus
  • Limits and Continuity: Intervals and neighborhoods – Limits - Standard Limits–Continuity.
  • Differentiation: Derivative of a function - Elementary Properties - Trigonometric, Inverse Trigonometric, Hyperbolic, Inverse Hyperbolic Function – Derivatives - Methods of Differentiation – Second Order Derivatives.
  • Applications of Derivatives: Geometrical Interpretation of a derivative - Equations of tangents and normals - Angles between two curves and condition for orthogonality of curves - Increasing and decreasing functions - Maxima and Minima.
  • Integration: Integration as the inverse process of differentiation- Standard forms -properties of integrals - Method of substitution- integration of Algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions - Integration by parts – Integration by partial fractions method – Reduction formulae.
  • Definite Integrals: Definite Integral as the limit of sum, Interpretation of Definite Integral as an area. Fundamental theorem of Integral Calculus. Properties, Reduction formulae, Application of Definite integral to areas.
  • Differential equations: Formation of differential equation-Degree and order of an ordinary differential equation - Solving differential equation by i) Variables separable method, ii) Homogeneous differential equation, iii) Non Homogeneous differential equation iv) Linear differential equations

AP EAPCET 2024 Mathematics Chapter Wise Weightage

The Chapter-wise weightage of AP EAPCET 2024 Mathematics syllabus is mentioned below. Probability has the highest weightage topic with 15% and the lowest weightage topics were Integral and Differential Calculus. Among all the sections, Calculus is the most scoring section. 

Name of the Chapter Chapter-wise Weightage Topic
Probability 15%
Vectors 10%
Calculus 6%
Integral Calculus 3%
Differential Calculus 3%
Mathematics Paper Analysis

AP EAPCET 2024 Mathematics Paper Analysis

The Andra Pradesh Engineering, Agricultural and Medical Common entrance test is conducted in two shifts- morning and afternoon. The overall paper analysis of the Mathematics section of previous year’s AP EAPCET has been discussed below:

May 19 Shift 1 and 2 Paper Analysis

Particulars Shift 1 Details Shift 2 Details
Difficulty Level Modeate to Tough To be Updated
Important Topics To be Updated To be Updated
Mathematics Sample Questions

May 18 Shift 1 and 2 Paper Analysis

Particulars Shift 1 Details Shift 2 Details
Difficulty Level Tough Moderate
Important Topics Differential Equation, Linear Differential, Matrics, Parametric point of parabola To be Updated

May 17 Shift 1 and 2 Paper Analysis

Particulars Shift 1 Details Shift 2 Details
Difficulty Level Moderate to Tough Moderate to Tough
Important Topics Multiplication of Matrices, Parametric points of a parabola, Linear differential equation, Cramer's rule To be Updated

May 16 Shift 1 and 2 Paper Analysis

Particulars Shift 1 Details Shift 2 Details
Difficulty Level Moderate to Tough Moderate to Tough
Important Topics Vectors, Functions, Integrations, Complex Numbers, Probability, & Calculus To be Updated

May 15 Shift 1 and 2 Paper Analysis

Particulars Shift 1 Details Shift 2 Details
Difficulty Level Moderate Moderate
Important Topics Vectors, Properties of Triangles, Functions, Integrations, Complex Numbers, Probability, & Calculus Vectors, 3D Geometry, Integration, Functions, Calculus
Mathematics Preparation Tips

AP EAPCET 2024 Mathematics Preparation Tips

Before appearing for AP EAPCET, candidates should follow the preparation tips mentioned below.

  • To clear AP EAPCET, it is very essential for the candidates to understand the syllabus properly. Students should have a clear idea of what topics and chapters are included in the syllabus.
  • It is very necessary for the candidates to know the pattern of the exam, marking scheme, type of questions, duration, exam mode, before appearing at the entrance exam.
  • Following a proper-time table is necessary for the aspirants to crack the AP EAPCET. The time-table should be realistic and followed regularly to get success in the exam.
  • Candidates should practice and solve the previous year question paper to get an idea of what types of questions are to be asked in the question paper. It is one of the important preparation tips for those students who are going to appear in AP EAPCET.
  • Attempting mock tests on a regular basis will help the candidates to crack the exam. It is very necessary for candidates to attempt an online mock test.
  • It is said that Practice makes perfect. So, it is very important for the candidates to solve and practice as many numerical problems in Mathematics as possible. This will help the candidates to improve their skills in maths. 
Mathematics Best Books

AP EAPCET 2024 Mathematics Best Book

The best books to study for AP EAPCET Mathematics are mentioned in the below table. Aspirants can follow the below-mentioned books for reference. Some of the best books are:

Name of the book Name of the Author
Handbook of Mathematics- A Multipurpose Quick Revision Resource Arihant Experts
EAPCET Mathematics for Telangana and Andhra Pradesh Arihant Experts
Class XI & XII Mathematics R. D Sharma
Problems Plus In IIT Mathematics A. Das Gupta
35 years Chapter-wise Solved Paper 2013 Amit M. Agarwal
Vector and 3D Geometry Amit M. Agarwal
Coordinate Geometry S.K. Goyal
Trigonometry, Geometry Books S.L. Loney
Problems in Calculus of One Variable  I.A. Maron
AP EAPCET Frequently Asked Questions

AP EAPCET Previous Year Question Paper

You can check previous year AP EAPCET question paper of both Engineering stream:

Dates Question Paper Link
May 15

Shift 1: Click Here
Shift 2: Click Here

May 16 Shift 1: Click Here
Shift 2: Click Here
May 17 Shift 1: Click Here
Shift 2: Click Here
May 18 Shift 1: Click Here
Shift 2: Click Here
May 19 Shift 1: Click Here
Shift 2: Will be Available Here

AP EAPCET 2024 Mathematics Syllabus FAQs

Ques. Who is the conducting authority of AP EAPCET 2024?

Ans: Jawaharlal Nehru Technological University (JNTU), Kakinada is the authority which conducts AP EAPCET 2024.

Ques. What will be the mode of exam for AP EAPCET 2024?

Ans: The mode of exam for AP EAPCET 2024 will be online. It will be a Computer-based test.

Ques. What type of questions will be asked in AP EAPCET 2024?

Ans: Multiple-choice questions (MCQ) will be asked in the question paper of AP EAPCET 2024.

Ques. In the AP EAPCET 2024 Mathematics syllabus, which topic will cover the highest weightage?

Ans: The topic which generally covers the highest weightage in AP EAPCET 2024 Mathematics syllabus is Probability.

Ques. What will be the medium of AP EAPCET 2024?

Ans: The medium of AP EAPCET 2024 will be English and Telugu, or English and Urdu.

Ques. Will there be negative marking for AP EAPCET 2024?

Ans: No, there will be no negative marking for AP EAPCET 2024. One mark will be given for every correct answer. 

Ques. How many questions will be asked in AP EAPCET 2024 Mathematics section?

Ans: A total of 80 questions will be asked in the AP EAPCET 2024 Mathematics section.

Ques. What are the important topics to be covered in AP EAPCET 2024 Mathematics syllabus?

Ans: AP EAPCET 2024 Mathematics syllabus consists of important topics -Trigonometry, Vectors, Probability, Algebra, Analytical Geometry, Calculus. 

*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

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