ENTRY TEST PREPARATION

The Mathematics section of the Engineering College Admission Test (ECAT) in Pakistan is designed to evaluate your understanding and problem-solving skills in various areas of mathematics typically covered in the intermediate level (FSc or equivalent). Below is a detailed guide on what to expect and how to prepare for the Mathematics section of the ECAT.

ECAT Mathematics Section Overview

1. Algebra(Complex Numbers, Quadratic Equations, Sequences and Series, Binomial Theorem, Matrices and Determinants)
2. Trigonometry(Trigonometric Functions and Identities, Inverse Trigonometric Functions, Solutions of Trigonometric Equations, Trigonometric Applications)
3. Calculus(Limits and Continuity, Differentiation, Applications of derivatives(Maxima, Minima, and Graph Sketching), Integration, Definite Integrals and their Applications)
4. Analytical Geometry(Conic Section(Parabola, Ellipse, Hyperbola), Straight lines, Circles, Coordinate Geometry)
5. Vectors(Vector Algebra, Scalar and Vector Product, Applications of Vectors in Geometry)
6. Probability and Statistics(Basic Probability Theories, Probability Distributions, Measure of Central Tendency(Mean, Median, Mode), Measure of Dispersion(Variance, Standard Deviation)