 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
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
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