Higher Level Mathematics for the IB Diploma

This is a topical book covering all examinable topics for Higher Level Mathematics for the IB Diploma that focuses on learning through examples. The concepts are taught through a summary of main concepts and the step-by-step methods of solving the problems are carefully presented.
Features

Useful Notes
Each topic begins with detailed explanations to formulae and concepts, followed by worked examples to showcase the best method of working out typical problems.
Practice Questions
Practice questions are classified into Calculator Questions and Non-calculator Questions to equip students with necessary skills to solve an examination-type question.
Worked Solutions
Step-by-step solutions are provided for students to understand better how each problem is solved. These also serve as a quick assessment of the work done.

Contents

Algebra
Topic 1.1 Sequences and Series

Topic 1.2 Exponents and Logarithms
Topic 1.3 Counting Principles
Topic 1.4 Mathematical Induction
Topic 1.5 Complex Numbers

Functions and Equations

Topic 2.1 Quadratic
Topic 2.2 Polynomials
Topic 2.3 Functions
Topic 2.4 Transformation of Graphs

Circular Functions and Trigonometry

Topic 3.1 The Unit Circle and Radian Measure
Topic 3.2 Non-right Triangle Trigonometry
Topic 3.3 Further Trigonometry

Vectors

Topic 4.1 Two Dimensional Vectors
Topic 4.2 Three Dimensional Vectors

Calculus

Topic 5.1 Introduction to Limits
Topic 5.2 First Principle of Differentiation
Topic 5.3 Rules of Differentiation
Topic 5.4 Applications of Differentiation
Topic 5.5 Rules of Integration
Topic 5.6 Applications of Integration

Statistics and Probability

Topic 6.1 Introduction to Statistics
Topic 6.2 Probability
Topic 6.3 Discrete Random Variables
Topic 6.4 Continuous Random Variables

Solutions