CIE Additional Mathematics

Chapter 1: SETS AND VENN DIAGRAMS

Introduction

Set theory is a fundamental branch of mathematics that studies sets, which are collections of objects. It serves as a foundational system for nearly all mathematical concepts. To be continue

Chapter 2 FUNCTIONS (0606)

Introduction

Functions are fundamental to calculus, analysis, and applied mathematics. This summary covers relations, function notation, domain and range, the modulus function, composite functions, sign diagrams, and inverse functions. To be continue

Chapter 3: QUADRATICS

Introduction

A quadratic function is a polynomial function of degree 2. It has the general form:

$f(x) = ax^2 + bx + c \quad \text{where } a, b, c \in \mathbb{R} \text{ and } a \neq 0.$

Quadratic functions appear in physics (projectile motion), economics (profit maximization), and engineering (optimization). To be continue

Chapter 4: Surds, indices, and exponentials

Introduction

Surds, indices, and exponentials form the foundation of algebraic manipulation and calculus. This summary covers irrational roots, exponent rules, rational powers, exponential equations, and both general and natural exponential functions. To be continue

Chapter 5: Logarithms

Introduction

Logarithms are the inverse operations of exponentials. They are essential for solving exponential equations, modelling phenomena across science and finance, and simplifying multiplicative relationships into additive ones. To be continue

Chapter 6: Summary of Polynomials

Introduction

Polynomials are fundamental algebraic expressions that appear throughout mathematics. Understanding their structure, roots, and factorisation is essential for calculus, algebra, and mathematical modelling. This summary covers real polynomials, zeros and factors, the Remainder Theorem, and the Factor Theorem. To be continue

Chapter 7:Straight line graph

%Straightline graph

Introduction

Straight line graphs are fundamental to algebra and calculus. They model linear relationships between variables and serve as the foundation for understanding more complex functions. This summary covers equations of lines, intersections, transforming relationships to linear form, and extracting relationships from data. To be continue

Question and Solutions (2023 February/March)

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