Coverage includes:

• Review of all key HL topics

• Advice on how to apply your learning in an exam context

• Guidance on calculator use

Key features of the Mathematics: Applications and Interpretation HL study guide:

• Topic-based practice questions to reinforce essential skills.

• Exam-style practice questions for both Section A and Section B of the IB Maths Applications and Interpretation syllabus.

• Worked answers for all question types to check progress.

• Suggestions to help you maximise your marks on the IB Maths Applications and Interpretation HL exam.

• Useful hints, tips, and advice on how to avoid common errors.

• Supplementary online content.

Contents of the Mathematics: Applications and Interpretation HL study guide:

Chapter 1: NUMBER AND ALGEBRA

• Number Systems

• Accuracy and Standard Form

• Sequences and Series

• Sequences and Series: Applications

• Exponents

• Logarithms

• Polynomial Equations

• Complex Numbers

• The Complex Plane

• Adding Sinusoidal Functions

• Basics of Matrices

• Determinants and Inverse Matrices

• Solving Equations Using Matrices

• Eigenvalues and Eigenvectors

• Number and Algebra: Long Answer Questions

Chapter 2: FUNCTIONS

• Basics of Functions

• Graphs of Functions

• Mathematical Modelling

• Linear Functions

• Quadratic Functions

• Exponential Functions

• Reciprocal functions

• Cubic Functions

• Trigonometric Functions

• Logistic Functions

• Using Logarithms in Modelling

• Functions: Long Answer Questions

Chapter 3: GEOMETRY AND TRIGONOMETRY

• Solution of Triangles

• 3-D Geometry

• Cylinder, Sphere and Cone

• Radian Measure

• Voronoi Diagrams

• Matrices and Transformations

• Basics of Vectors

• Scalar (Dot) Product

• Vector (Cross) Product

• Equations of Lines

• Application to Kinematics

• Graph Theory Basics

• Walks and Paths

• Adjacency and Transition Matrices

• Graph Algorithms

• Kruskal's Algorithm

• Prim’s algorithm 

• Chinese Postman Problem

• Travelling Salesman Problem (TSP)

• Geometry and Trigonometry: Long Answer Questions

Chapter 4: STATISTICS AND PROBABILITY

• Definitions

• Averages

• Measures of spread

• Sampling Methods

• Surveys and Questionnaires

• Probability Notation and Formulae

• Lists and Tables of Outcomes

• Venn Diagrams

• Tree Diagrams

• Discrete Probability Distributions

• Expectation Algebra

• The Binomial Distribution

• The Poisson Distribution

• The Normal Distribution

• Correlation

• Non-linear Regression

• Sample Means

• Confidence Intervals

• The Chi-squared  Test

• Hypothesis Tests – Contingency Tables

• Testing for the Mean of a Normal Distribution

• Testing for Proportion using the Binomial Distribution

• Testing for the Mean of a Poisson distribution

• Type I and Type II errors:

• Goodness of fit tests

• Markov Chains

• Statistics and Probability: Long Answer Questions

Chapter 5: CALCULUS

• Differentiation – The Basics

• The Chain Rule

• Product and Quotient Rules

• Second Derivative

• Graphical Behaviour of Functions

• Tangents and Normals

• Optimisation problems

• Related Rates of Change

• Kinematics (1)

• Indefinite Integrals

• Definite Integrals

• Kinematics (2)

• Differential Equations

• Slope Fields

• Euler's Method

• Calculus: Long Answer Questions

Chapter 6: MAXIMISING YOUR MARKS

Chapter 7: PRACTICE QUESTIONS