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: This 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 S2: Statistics 2 (WST02/01)
The Binomial and Poisson distributions
Continuous random variables
Continuous distributions
Samples
Hypothesis tests
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 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
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. Garrit.
