Fannon P., Kadelburg V., Woolley B., Ward S. Mathematics Standard Level for the IB Diploma

Cambridge University Press, UK, 2012. — 616 p. — ISBN: 9781107613065The book is split roughly into four blocks. Chapters 1 to 7 cover algebra and functions, chapters 8 to 11 cover geometry, chapters 12 to 15 cover calculus, and chapters 16 to 18 cover probability and statistics. Chapter 19 contains questions that mix together different parts of the course – a favourite trick in International Baccalaureate (IB) examinations.
You do not have to work through the book in the order presented, but given how much the IB likes to mix up topics, you will find that some questions refer to material in previous chapters. In such cases, a ‘rewind panel’ will tell you that the material has been covered earlier, so that you can decide whether to remind yourself or move on.
Each chapter starts with a list of learning objectives which give you an idea about what the chapter contains. There is also an introductory problem that illustrates what you will be able to do after you have completed the chapter. Some introductory problems relate to ‘real life’ situations, while others are purely mathematical. You should not expect to be able to solve the problem at the start, but you may want to think about possible strategies and what sort of new facts and methods would help you. The solution to the introductory problem is provided at the end of the chapter, after the summary of the chapter contents.Algebra, functions and equations
Quadratic functions
Exponents and logarithms
Algebraic structures
The theory of functions
Transformations of graphs
Sequences and series
Binomial expansion
Geometry
Circular measure and trigonometric functions
Trigonometric equations and identities
Geometry of triangles and circles
Vectors
Calculus
Basic differentiation and its applications
Basic integration and its applications
Further differentiation
Further integration
Statistics and probability
Summarising data
Probability
Probability distributions