ESAT Syllabus and Topic Breakdown: All 5 Modules Explained

ESAT Syllabus Overview

The ESAT covers five modules, each with its own topic list. This article provides a complete breakdown of every topic across all five modules: Mathematics 1, Mathematics 2, Physics, Chemistry, and Biology.

Mathematics 1

Mathematics 1 is the foundation module. It covers four broad areas:

Number

• Integers, place value, and ordering
• Operations with numbers
• Fractions, decimals, and percentages
• Ratio and proportion

Algebra

• Algebraic expressions
• Equations
• Sequences
• Coordinates and graphs

Geometry

• Shapes and angles
• Area and perimeter
• Transformations

Statistics and Probability

• Collecting, representing, and interpreting data
• Mean, median, mode, and range
• Probability

Mathematics 2

Mathematics 2 builds on Mathematics 1 with more advanced topics across seven areas:

MM1 Algebra and Functions

• Indices and surds
• Quadratics
• Polynomials
• Simultaneous equations
• Graphs of functions

MM2 Sequences and Series

• Arithmetic sequences and series
• Geometric sequences and series

MM3 Coordinate Geometry

• Straight lines
• Circles

MM4 Trigonometry

• sin, cos, tan
• Trigonometric identities
• Trigonometric equations

MM5 Exponentials and Logarithms

• Exponential functions
• Logarithmic functions

MM6 Differentiation

• Derivatives
• Maxima and minima
• Rates of change

MM7 Integration

• Definite and indefinite integrals
• Area under curves

Physics

Physics covers six topic areas:

Electricity

• Current, voltage, and resistance
• Electrical circuits

Magnetism

• Magnetic fields
• Electromagnets

Mechanics

• Forces and motion
• Momentum
• Energy, work, and power

Thermal Physics

• Heat transfer
• States of matter

Waves

• Wave properties
• Sound and light
• Electromagnetic spectrum

Radioactivity

• Atomic structure
• Nuclear radiation

Chemistry

Chemistry covers six topic areas:

• Atomic structure
• Periodic table
• Chemical reactions
• Quantitative chemistry
• Chemical analysis
• Earth's atmosphere

Biology

Biology covers seven topic areas:

• Cells
• Organisation
• Infection and response
• Bioenergetics
• Homeostasis
• Inheritance, variation, and evolution
• Ecology

Module Interdependencies

All modules assume knowledge of Mathematics 1. This means that Mathematics 1 serves as the foundational module, and the other four modules (including Mathematics 2) build upon it. When selecting modules, bear in mind that most courses require Mathematics 1 plus two additional modules.