Matching of Topics from C1 - C4 to the old books P1, P2, P3
Please note that P1, P3 are 2nd edition and P2 is 1st edition.
C1
Competence statements / Description / Book / Chapter / Pages / Notesp1,p2,p3 / Proof and modelling / P1 / 7 / 196 - 214
a1,a2 / Language and linear equations / P1 / Appendix B / 233 - 241
a3 / Change the subject / P1 / Appendix B / 241- 242
a4 / Solve graphically / ?
a5, a6, a7 / Quadratic equations / P1 / Appendix B / 243 - 256
a8, a9 / Simultaneous equations / P1 / Appendix B / 257 - 261
a10 / Simultaneous eqns graphically / P1 / 1 / 22 - 26
a11, a12 / Inequalities / P1 / 4 / 111 - 115
a13, a14 / Surds / P2 / 1 / 1-4
a15, a16 / Indices / P2 / 1 / 4-10
g1 - g7 / Coordinate geometry / P1 / 1 / 1 - 4
g8 / Intersection of two lines / P1 / 1 / 22 - 26
g9 / Plot a curve / P1 / 1 / 27
g10, g11 / Intersection of line and curve / P1 / 1 / 31 - 40 / Circle is in different place so there may be assumptions about the circle here.
g12, g13 / Circle / P1 / 1 / 28 - 31
g14 / Circle theorems / ?
f1 - f6 / Polynomials / P1 / 3 / 72 - 95
f7 - f9 / Binomial / P1 / 3 / 96 - 106
C1 - C4 / Curve sketching / P1 / 1 / 2
P1 / 3 / 77 - 95
C2
Competence statements / Description / Book / Chapter / Pages / Notesa1-7 / Logarithms / P2 / 1 / 10-21
s1-6 / Sequences and series / P2 / 2 / 29-36
s7, 8 / APs / P2 / 2 / 38-42
s9, 10, 11, 12 / GPs and problems / P2 / 2 / 45-52
t1-4 / Trig functions / P1 / 2 / 41-50
t5-7 / Identities
t8 / Area of triangle / P1 / 2
Appx A / 55-56
216-220
t9 / Sine and cosine rules / P1 / 2 / 55-58
t10,11 / radians / P1 / 2 / 59-64
c1-3 / Basic diffn / P1 / 5 / 116-
c4-8 / Stationary points / P1 / 5 / -151
c9-15 / Basic int. / P1 / 6 / 152-156
c14, 15 / Area / P1 / 6 / 157-178 / .
c16 / Trapezium / P1 / 6 / 185-193
C1,C2 / Curve sketching / P1 / 3 / 77-82
P2 / 3 / 70-71 / Interspersed with
y = f(x + a) and
y = f(x) + a
C3
Competence statement / Description / Book / Chapter / Pages / NotesP1,2 / Proof
a1,2,3,4 / Exponentials and natural longs / P2 / 5 / 134-157
f1, 2, 3, 4, 5, 6, 7, 8, / Functions / P2 / 3 / 51-58
f9, 10 / Modulus / P1 / 4 / 111-115
c1, 2, 3, 4 / Product, quotient and chain rules / P2 / 4 / 94-120
c5 / Inverse functions / P2 / 4 / 120-122
c6 / Implicit diffn / P3 / 3 / 68-73
c7 / Diffn of exponentials and logs / P2 / 5 / 142-148
c8 / Diffn of trig functions / P3 / 3 / 60-67
c9, 10 / Integration by substitution / P2 / 4 / 123-133
c11, 12 / Integration of exponentials / P2 / 5 / 148-157
c13 / and trig functions / P3 / 3 / 73-78
c14, 15 / Integration by parts / P3 / 3 / 78-87
e1,2 / Numerical soln of equations / P2 / 6 / 158-177
C4
a1, 2 / Binomial / P3 / 1 / 1-10a3 / Rational expressions / P3 / 1 / 11-17
a4, 5, 6 / Partial fractions / P3 / 1 / 17-26
t1, 2, 3 / Sec, cosec and cot / P1 / 2 / 51-55
t4, 5, 6, 7 / Compound and double angle formulae and Solution of trig equations / P3 / 2 / 28-56 / Omit Factor Theorems and small angle approximations
g1, 2, 3, 4 / Parametric Equations / P3 / 4 / 98-122
c1 / Trapezium rule repeatedly / P1 / 6 / 185-193
c2 / Use of partial fractions in int. / P3 / 3 / 88-92
c3 / Solids of revolution / P1 / 6 / 178-185
c4,5 / Differential Equations / P3 / 6 / 179-198
v1, 2, 3, 4, 5, 6, 7, 8, 9 / Vectors / P3 / 5 / 123-178
Pure Mathematics 1
Chapter / Pages / Topic / Module / Competence statements / NotesAppendix A / Not required
Appendix B / 233-241 / Language and linear equations / C1 / a1,2 / Basic start but should not be required
241 - 242 / Changing subject of formulae / C1 / a3
243 - 256 / Quadratic equations / C1 / a5, a6, a7
257 - 261 / Simultaneous equations / C1 / a8, 9
1 / 1-21 / Coordinate geometry / C1 / g1 - 7 / g14 is not covered in any book
22-26 / Intersection of 2 lines / C1 / a10
27 / Plot a curve / C1 / g9
28-31 / Circle / C1 / g12,13
31-40 / Intersection of line and curve / C1 / g10,11 / Circle is in a different place so there may be assumptions about the circle here.
2 / 41-50 / Trigonometry / C2 / t1-6
51 / Soln of equations / C2 / t7
52-54 / Reciprocal functions / C4 / t1
55-58 / Sine and cosine rules / C2 / t9
59-69 / Radians / C2 / t10,11
3 / 72-95 / Polynomials / C1 / f1-6
96-106 / Binomial / C1 / f7-9
4 / 107-115 / Inequalities / C1 / a11,12
5 / 116-135 / Differentiation / C2 / c1-3
135-151 / Stationary points / C2 / c4-8
6 / 152-156 / Integration / C2 / c9-13
157-178 / Area / C2 / c14,15
178-185 / Volumes of solids / C4 / c3
185-193 / Trapezium Rule / C2 / c16
7 / 196-214 / Language and proof / C1 / p1-3
Not in the book
C1 a4 - Solution of equations graphically
C1 g14 - circle theorems (which will only be assessed in the context of coordinate geometry)
Not in book 1
C1 a13 - a16 - all in book 2
Sections of book 1 not used in C1
Chapter 2Pages 41 - 71Trigonometry
Chapter 4Pages 107 - 110Errors
Chapter 5Pages 116 - 151Differentiation
Chapter 6Pages 152 - 195Integration
Appendix APages 215 - 232Trigonometry
Pure Mathematics 2
Chapter / Pages / Topic / Module / Competence statements / Notes1 / 2-6 / Indices / C1 / a15, 16
1 / 7-10 / Surds / C1 / a13,14
10-23 / Logarithms / C2 / a1-7
2 / 25-33 / Sequences and Series / C2 / s1-6
33-39 / APs / C2 / s7,8
39-50 / GPs and problems / C2 / s9-12
3 / 51-88 / Functions / C3 / f1-8
88-92 / Curve Sketching
4 / 94-120 / Diffn when n not +ve and higher derivatives, chain product and quotient rules / C3 / c1-4
120-122 / Diffn inverse functions / C3 / c5
123-133 / Int. by substitution / C3 / c9,10
5 / 134-157 / Logarithms and exponentials / C3 / a1-4,c7
6 / 158-177 / Numerical methods of solution of equations / C3 / e1-7 / Only examined in coursework
Pure Mathematics 3
Chapter / Pages / Topic / Module / Competence statements / Notes1 / 1-10 / Binomial / C4 / a1, 2
11-17 / Rational Expressions / C4 / a3
17-26 / Partial Fractions / C4 / a4, 5, 6
2 / 28-37 / Compound and double angle formulae and soln of Trig equations / C4 / t4,5, 6, 7
2 / 56 / General soln of equations / C4 / t6, 7
3 / 60-67 / Diffn trig functions / C3 / c8
68-73 / Diffn implicitly / C3 / c6
73-77 / Int. Trig functions / C3 / c13
77-87 / Int by parts / C3 / c14, 15
88-92 / Partial fractions in int / C4 / c2
4 / 98-122 / Parametric equations / C4 / g1, 2, 3, 4
5 / 123-178 / Vectors / C4 / v1, 2, 3, 4, 5, 6, 7, 8, 9
6 / 179-198 / Diffn eqns / C4 / c4, 5
Notes:
1. The factor formulae 37-48 are not in the specifications
2. Small angle approximations, 49-55 are not in the specifications