AP EAPCET Maths Syllabus: All Topics

AP EAPCET Mathematics Syllabus

Mathematics carries 80 of the 160 marks in the Engineering paper. Here is the complete official topic list in six sections, explained in easy words.

80 Questions • 6 Sections • 38 Topics

Questions

Sections

Topics

50%

Share of Paper

Maths sections by number of topics

Coordinate Geometry 12 topics

Algebra 10 topics

Calculus 6 topics

Trigonometry 5 topics

Measures of Dispersion & Probability 3 topics

Vector Algebra 2 topics

1. Algebra

Topic	What You Study
Functions	Types of functions, inverse functions, domain and range
Mathematical Induction	Principle of induction, applications and divisibility problems
Matrices	Types, multiplication, transpose, determinants, adjoint and inverse, rank, solving linear equations
Complex Numbers	Modulus and amplitude, polar form, Argand diagram
De Moivre's Theorem	Integral and rational indices, nth roots of unity
Quadratic Expressions	Equations, sign of expression, maximum and minimum values, inequations
Theory of Equations	Roots and coefficients, conjugate complex roots, reciprocal equations
Permutations and Combinations	Counting principle, linear and circular permutations, combinations
Binomial Theorem	Positive integral and rational index, approximations
Partial Fractions	Linear, repeated and irreducible factors, improper fractions

2. Trigonometry

Topic	What You Study
Trigonometric Ratios up to Transformations	Graphs, periodicity, compound, multiple and sub-multiple angles, sum and product formulas
Trigonometric Equations	General solutions and simple equations
Inverse Trigonometric Functions	Graphs and properties
Hyperbolic Functions	Definitions, graphs, inverse hyperbolic functions, addition formulae
Properties of Triangles	Sine, cosine, tangent and projection rules, half-angle formulae, incircle and excircles

3. Vector Algebra

Topic	What You Study
Addition of Vectors	Types of vectors, linear combination, components in 3D, vector equations of line and plane
Product of Vectors	Dot product, cross product, scalar triple product, vector triple product, shortest distance, coplanarity

4. Measures of Dispersion and Probability

Topic	What You Study
Measures of Dispersion	Range, mean deviation, variance, standard deviation, coefficient of variation
Probability	Classical and axiomatic definitions, addition and multiplication theorems, conditional probability, Baye's theorem
Random Variables and Probability Distributions	Mean and variance, Binomial and Poisson distributions

5. Coordinate Geometry

Topic	What You Study
Locus	Equation of locus
Transformation of Axes	Translation and rotation of axes
The Straight Line	Normal and symmetric forms, family of lines, angle between lines, distance formulas
Pair of Straight Lines	Pair through origin, angle, bisectors, homogenisation
Circle	Standard form, tangent, normal, chord of contact, pole and polar, relative position of two circles
System of Circles	Orthogonality, radical axis, radical centre, common chord
Parabola	Standard form, parametric form, tangent and normal
Ellipse	Standard form, parametric form, auxiliary and director circle
Hyperbola	Standard form, rectangular hyperbola, asymptotes, director circle
Three Dimensional Coordinates	Section formulae, centroid of triangle and tetrahedron
Direction Cosines and Direction Ratios	Direction cosines and ratios of a line
Plane	Cartesian equation of a plane and angle between planes

6. Calculus

Topic	What You Study
Limits and Continuity	Intervals, limits, standard limits, continuity
Differentiation	Derivatives of all function types, methods, second order derivatives
Applications of Derivatives	Tangent and normal, rate of change, Rolle's and Lagrange's theorems, maxima and minima
Integration	Standard forms, substitution, by parts, partial fractions, reduction formulae
Definite Integrals	Properties and area under curves
Differential Equations	Order and degree, variables separable, homogeneous and linear equations

How to Prepare Maths for AP EAPCET

Spend more time on Coordinate Geometry and Algebra, because they have the most topics.
Learn formulas first, then practise 20 to 30 problems for each topic.
Practise Calculus daily – it needs regular practice.
Take timed tests of 80 questions to build speed.

Q. How many questions come from Maths?

80 out of 160 questions in the Engineering paper.

Q. Is Statistics included?

Yes. Measures of Dispersion, Probability and Probability Distributions are part of the syllabus.

Q. Is 3D Geometry included?

Yes. Three Dimensional Coordinates, Direction Cosines and Ratios and the Plane are included.

Full Syllabus → All subjects	Physics Syllabus → 30 chapters
Chemistry Syllabus → 26 units	Maths Preparation → Study plan

Source: Andhra Pradesh State Council of Higher Education (APSCHE) – official AP EAPCET portal cets.apsche.ap.gov.in/EAPCET. Details can change every year, so please confirm on the official website before applying.