**Math4U offers a wide range of specialized high school math courses. It is highly recommended to students who need better marks to apply to university or to pass a specific course. **

**Math4U IB / TOPS / MaCS Contents**

**Math4U Topic 1 – Algebra
**Introduction

Sequences and Series

Exponents

Logarithms

Binomial Theorem

**Math4U Topic 2 – Functions and Equations
**Introduction

Concept of a Function

The Graph of a Function

Transformations of Graphs

The Reciprocal Function

The Quadratic Function

Exponential Function

Logarithmic Function

**Math4U Topic 3: Circular Functions and Trigonometry
**Introduction

Circle

Cosine and Sine (relative to Unit Circle)

Double Angle Formulae

Triangles

**Math4U Topic 4: Vectors
**Introduction

Length of a vector

Vector equality

Scalar multiplication

Addition of vectors

The dot product

Vectors of 3D-lines

**Math4U Topic 5: Probability, Statistics**

**Probability**

Combined events

Mutually exclusive events

Exhaustive Events

Conditional probability

Independence

**Statistics
**Diagrammatic representation of data

Mode, median and mean

Measures of dispersion

Cumulative frequency

Histograms

Random variables

Expected values

The binomial distribution

The normal distribution

Probability mass function

**Math4U Topic 6: Calculus
**General

Equations

Basic Differentiation

Applications to the derivative

Introduction to Integrals

Basic Integration Rules of Integration

Applications to integration