Download Structure for AQA FP1

Syllabus mapping for EdExcel FP1
Highlighted topics are not covered by the MEI resources.
Topic
Syllabus content
Inequalities
The manipulation and solution of algebraic inequalities and
inequations,
Inequalities involving the modulus sign
Summation of simple finite series. The method of
differences.
Definition of complex numbers in the form a + ib and r cos
 and ir sin .
Sum, product and quotient of complex numbers.
Geometrical representation of complex numbers in the
Argand diagram.
Geometrical representation of sums, products and
quotients of complex numbers.
Complex solutions of quadratic equations with real
coefficients.
Conjugate complex roots of polynomial equations with real
coefficients.
Equations of the form f(x) = 0 solved numerically by interval
bisection, linear interpolation and the Newton-Raphson
process.
Further solution of first order differential equations with
separable variables.
dy
 Py  Q
First order differential equations of the form
dx
where P and Q are functions of x.
Differential equations reducible to the above types by
means of a given substitution.
Series
Complex Numbers
Numerical solutions
of equations
First order differential
equations
Textbook
exercises
1A, 1B
MEI resources
1C
2A, 2B
C3 ch3 section 3
FP1 ch5 section 2
3A
FP1 ch2 section 1
3B, 3C
FP1 ch2 sections 2&3
FP2 ch3 section 1
3D
FP1 ch2 sections 1&4
4A
C3 ch6
5A, 5B
C4 ch 12, DE ch 3
5C
DE ch 4
FP1 ch4 section 2
Second order
differential equations
Polar coordinates
The linear second order differential equation
d2 y
dy
a 2  b  cy  f ( x) where a, b and c are real constants
dx
dx
and the particular integral can be found by inspection or
trial.
Differential equations reducible to the above types by
means of a given substitution.
Polar coordinates (r, ), r  0.
Use of the formula


1
2 
r 2d for area.
6A, 6B, 6C,
6D
DE ch6 sections 1, 2 & 3
6E
7A
7B
FP2 ch2 section 1
FP2 ch2 section 2