Cambridge Mathematical Studies for the IB Diploma: Mathematical Studies

Cambridge Mathematical Studies for the IB Diploma: Mathematical Studies Author/s: Caroline Meyrick and Kwame Dwamena This completely new title is written to specifically cover the new IB Diploma Mathematical Studies syllabus. The significance of mathematics for modelling and practical applications is a prominent theme throughout this coursebook, supported with Theory of Knowledge, internationalism and application links to encourage an appreciation of broader contexts of mathematics. Mathematical modelling is also a key feature. GDC tips are integrated throughout, with dedicated gdc chapter for those needing more support. Exam hints and IB exam-style questions are provided within each chapter; sample exam papers (online) can be tackled in exam-style conditions for further exam preparation. Guidance and support for the internal assessment is also available, providing advice on good practice when writing the project. Features: A GDC-dedicated chapter covers the step-by-step processes for using the Texas and Casio calculators in the place of traditional mathematical methods. Chapter openers explain why the topic matters in the real world. The narrative is broken up into short, manageable-sized chunks and is written in plain English, making the key concepts clear and easy to understand. Progressive and repetitive exercises use a combination of routine ‘drill’ questions and application-related questions; they are written in the style of the IB’s short-answer and longer-answer questions. There are numerous worked examples that include methods using GDC. There are feature boxes for the following aspects of the syllabus: Theory of Knowledge, Internationalism, andApplications, as well as general hints with a special note when the hint is exam-specific. Key point panels highlight key things or formulas to remember. Exam and Exam-style questions provide lots of exam practice. A Glossary enables students to quickly access the definition of key, and/or difficult terms. Contents: Topic 1 Number and algebra Chapter 1 Number Chapter 2 Solving equations Chapter 3 Arithmetic and geometric sequences and series Chapter 4 Financial mathematics Topic 2 Descriptive statistics Chapter 5 Classification and display of data Chapter 6 Measures of central tendency Chapter 7 Measures of dispersion Topic 3 Logic, sets and probability Chapter 8 Set theory and Venn diagrams Chapter 9 Logic Chapter 10 Probability Topic 4 Statistical applications Chapter 11 Normal distribution Chapter 12 Correlation Chapter 13 Chi-squared Topic 5 Geometry and trigonometry Chapter 14 Equation of a line in two dimensions Chapter 15 Trigonometry Chapter 16 Geometry of three dimensional solids Topic 6 Mathematical models Chapter 17 Functions and graphs Chapter 18 Linear and quadratic models Chapter 19 Exponential and polynomial functions Topic 7 Introduction to differential calculus Chapter 20 Introducing differential calculus Chapter 21 Stationary points and optimisation Chapter 22 Internal assessment Chapter 23 Sample papers Chapter 24 How to use your graphical calculator