Further Mathematics
“La única forma de aprender matemáticas es hacer matemáticas.” – Paul Halmos
Subject information
ENTRY DETAILS
Exam board: Pearson Edexcel IAL
Specification: Pearson Edexcel International Advanced Level in Further Mathematics (YFM01)
HOW I WILL BE ASSESSED?
Examination: The course is examined in January and June of both Year 12 and Year 13
COURSE DETAILS
Unit D1: Decision Mathematics 1 (WD01/01)
- Algorithms
- Algorithms on graphs
- Algorithms on graphs II
- Critical path analysis
- Linear programming
Unit FP1: Further Pure Mathematics 1 (WFM01/01)
- Complex numbers
- Roots of quadratic equations
- Numerical solution of equations
- Coordinate systems
- Matrix algebra
- Transformations using matrices
- Series
- Proof
Unit M2: Mechanics 2 (WME02/01)
- Kinematics of a particle moving in a straight line or plane
- Centres of mass
- Work and energy
- Collisions
- Statics of rigid bodies
Unit FP2: Further Pure Mathematics 2 (WFM02/01)
- Inequalities
- Series
- Further complex numbers
- First order differential equations
- Second order differential equations
- Maclaurin and Taylor series
- Polar coordinates
Unit FP3: Further Pure Mathematics 3 (WFM03/01)
- Hyperbolic functions
- Further coordinate systems
- Differentiation
- Integration
- Vectors
- Further matrix algebra
Unit M3: Mechanics 3 (WST01/01)
- Further kinematics
- Elastic strings and springs
- Further dynamics
- Motion in a circle
- Statics of rigid bodies
ASSESSMENT OVERVIEW, DURATION AND WEIGHTING
Unit D1 – Written examination 90 minutes (16 2/3 % of qualification, 75 marks)
Unit FP1 – Written examination 90 minutes (16 2/3 % of qualification, 75 marks)
Unit M2 – Written examination 90 minutes (16 2/3 % of qualification, 75 marks)
Unit FP2 – Written examination 90 minutes (16 2/3 % of qualification, 75 marks)
Unit FP3 – Written examination 90 minutes (16 2/3 % of qualification, 75 marks)
Unit M3 – Written examination 90 minutes (16 2/3 % of qualification, 75 marks)
| Exam Papers | % of IAL | Assessment overview |
|---|---|---|
| D1 – (Jan Y12) | 16 2/3 | 75 marks distributed across 7 or 8 questions. |
| FP1 – (June Y12) | 16 2/3 | 75 marks distributed across 9 or 10 questions. The later questions usually carry the most number of marks. |
| M2 – (June Y12) | 16 2/3 | 75 marks distributed across 7 or 8 questions. |
| FP2 – (Jan Y13) | 16 2/3 | 75 marks distributed across 8 or 9 questions. The later questions usually carry the most number of marks. |
| FP3 – (June Y13) | 16 2/3 | 75 marks distributed across 8 or 9 questions. The later questions may carry the most number of marks. |
| M3 – (June Y13) | 16 2/3 | 75 marks distributed across 7 questions. The later questions usually carry the most number of marks. |
WIDER READING
- Concepts in Modern Mathematics by Ian Stewart
- Introduction to Mathematical Philosophy by Bertrand Russell
- The Man who knew Infinity by Robert Kanigel
- A History of Mathematics by Carl B. Boyer
- Infinity: The Quest to Think the Unthinkable by Brian Clegg
- E, the Story of a Number by Eli Maor
- The Codebook by Simon Singh
- A Brief History of Time by Stephen Hawking
- How to Solve It: A New Aspect of Mathematical Method by G. Pollia
- How to Prove It: A Structured Approach by Daniel J. Velleman
- All the Math You Missed: (But Need to Know for Graduate School) by Thomas A. Garrity
