For AP EAMCET (EAPCET) 2026, the Mathematics section is the most critical, carrying 80 marks out of the total 160. The syllabus is exhaustive, covering both the 1st and 2nd-year Intermediate curriculum of Andhra Pradesh.
Algebra (Approx. 20–25 Marks)
This unit covers essential topics such as Functions, Matrices & Determinants, Complex Numbers, Quadratic Expressions, Permutations & Combinations, and the Binomial Theorem. A strong grasp of these concepts is crucial for solving various problems efficiently.
1. Functions
Focus on types of functions (one-to-one, onto), domain, range, and inverse functions. You will likely see questions involving composite functions f(g(x)).
2. Matrices & Determinants
This is a scoring area. Master the properties of determinants, adjoints, and inverses. Cramer’s rule and Matrix Inversion method for solving linear equations are frequently tested.
3. Complex Numbers
Understand the polar form of complex numbers and De Moivre's Theorem. Practice problems on finding roots of complex numbers.
4. Theory of Equations
Relationship between roots and coefficients. Practice finding the nature of roots for quadratic and cubic expressions.
5. Permutations & Combinations
Focus on circular permutations and the concept of "arrangements" with repetitions allowed vs. not allowed.
6. Binomial Theorem
Finding the general term, middle term, and the greatest term in an expansion (a + b)^n.
Calculus (Approx. 20–25 Marks)
Calculus is often considered the toughest but most rewarding section. It requires deep conceptual clarity.
1. Limits, Continuity & Differentiability
Understanding standard limits (using L'Hopital's Rule) and checking if a function is continuous at a given point.
2. Differentiation
Focus on derivatives of trigonometric, logarithmic, and exponential functions. Practice application problems like finding tangents, normals, and rates of change.
3. Applications of Derivatives
This includes Tangents and Normals, Rate of Change, and the very important Maxima and Minima problems.
4. Integration (Indefinite & Definite)
Both indefinite and definite integrals are important. Focus on standard integration techniques and properties of definite integrals.
5. Differential Equations
Specifically, focus on the "Variable Separable" method and "Linear Differential Equations" of the first order.
Coordinate Geometry (Approx. 15–18 Marks)
Focus on straight lines, circles, parabolas, ellipses, and hyperbolas. Practice problems involving tangents, normals, and intersections.
1. Straight Lines
Focus on the distance between parallel lines, point of intersection, and the angle between two lines.
2. Circles
This is a huge topic. Study the equations of tangents, normals, and the "Power of a Point." Understanding the System of Circles (Radical Axis) is vital.
3. Conic Sections (Parabola, Ellipse, Hyperbola)
Memorize the standard forms, focal chords, and eccentricity. You should be able to identify the conic based on the given equation.
4. Three-Dimensional (3D) Geometry
Focus on Direction Cosines (DC) and Direction Ratios (DR). Practice finding the angle between two lines in space.
Trigonometry (Approx. 8–10 Marks)
Trigonometry is often used as a tool within Calculus and Geometry, so don't skip it.
1. Trigonometric Ratios & Identities
Focus on the basic identities and their transformations. Practice problems involving multiple angles and half-angle formulas.
2. Inverse Trigonometric Functions
Understand the principal values and ranges. Practice problems on compositions of inverse trig functions.
3. Properties of Triangles
Focus on the Sine Rule, Cosine Rule, and the relationship between the sides and the area of the triangle
Vector Algebra (Approx. 8–10 Marks)
Vectors are relatively easy to master and are very high-scoring.
1. Basics of Vectors
Understand the representation of vectors, types (position, unit, zero), and basic operations (addition, subtraction).
2. Product of Vectors: Scalar (Dot) Product and Vector (Cross) Product
Focus on dot product and cross product, their properties, and applications in finding angles between vectors and areas of parallelograms.
3. Applications of Vectors
Practice problems on projection of vectors and finding the area of triangles using vector methods.
Statistics & Probability (Approx. 8–10 Marks)
This section is generally straightforward and can be tackled with basic formulas and concepts.
1. Measures of Dispersion
Focus on measures of central tendency (mean, median, mode) and measures of dispersion (variance, standard deviation).
2. Probability
Focus on the Addition and Multiplication Theorems and the very important Bayes’ Theorem.
3. Random Variables & Distributions
Understanding the Mean and Variance of Binomial and Poisson distributions.