Further Mathematics - International Baccalaureate

International Baccalaureate

Further Mathematics, as studied within the International Baccalaureate Diploma is a Standard Level course that can only be taken in conjunction with Higher Level Higher Level (HL) Mathematics. Further Mathematics studied within the IB is considered considerably harder than that of HL Mathematics, and HL Mathematics is considered harder than typical A-Level Further mathematics. It assumes knowledge of the core syllabus of the HL course, and consists of studying all four of the options studied at Higher Level, plus an extra geometry unit.

The Higher Level syllabus consists of:

• Topic 1 - Functions
• Topic 2 - Sequences and series
• Topic 3 - Exponents
• Topic 4 - Logarithms
• Topic 5 - Natural logarithms
• Topic 6 - Graphing and transforming functions
• Topic 7 - Quadratic equations and functions
• Topic 8 - Complex numbers and polynomials
• Topic 9 - Binomial theorem
• Topic 10 - Mathematical induction
• Topic 11 - The unit circle and radian measure
• Topic 12 - Non right angled triangle trigonometry
• Topic 13 - Periodic phenomena
• Topic 14 - Matrices
• Topic 15 - Vectors in 2 and 3 dimensions
• Topic 16 - Complex numbers
• Topic 17 - Lines and planes in space
• Topic 18 - Descriptive statistics
• Topic 19 - Probability
• Topic 20 - Calculus
• Topic 21 - Differential calculus
• Topic 22 - Applications of differential calculus
• Topic 23 - Derivatives of exponential and logarithmic functions
• Topic 24 - Derivatives of circular functions and related rates
• Topic 25 - Integration
• Topic 26 - Integration (areas and other applications)
• Topic 27 - Circular function integration
• Topic 28 - Volumes of revolution
• Topic 29 - Further integration and differential equations
• Topic 30 - Statistical distributions

The Further Mathematics syllabus includes the topics Further Statistics and Probability, Series and Differential Equations, Sets, Relations and Groups, Euclidean Geometry, and Discrete Mathematics (including both Number Theory and Graph Theory). However, for first examinations in 2014 Further Mathematics will become a Higher Level only course. This new programme will include the same topics as before, with Series and Differential Equations changing its name to Calculus and a new topic, Linear Algebra, being added.