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