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Past exam of the mathematics course of the University of Cambridge
/
2006
/
ii
/
Paper 4
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University of Cambridge
Course of the University of Cambridge
Mathematics course of the University of Cambridge
Past exam of the mathematics course of the University of Cambridge
2006
ii
Created
2026-09-24
Updated
2026-09-24
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www.maths.cam.ac.uk/undergrad/pastpapers/files/2006/PaperII_4.pdf
Table of contents
1H
Paper 4
Solution
1H
2G
Paper 4
a
2G
Solution
a
b
2G
Solution
b
3F
Paper 4
Solution
3F
4G
Paper 4
Solution
4G
5I
Paper 4
Solution
5I
6B
Paper 4
a
6B
Solution
a
b
6B
Solution
b
7E
Paper 4
Solution
7E
8E
Paper 4
Solution
8E
9C
Paper 4
Solution
9C
10D
Paper 4
Solution
10D
11H
Paper 4
a
11H
Solution
a
b
11H
Solution
b
12F
Paper 4
Solution
12F
13I
Paper 4
Solution
13I
14E
Paper 4
a
14E
Solution
a
b
14E
Solution
b
15D
Paper 4
a
15D
Solution
a
b
15D
Solution
b
16H
Paper 4
Solution
16H
17F
Paper 4
Solution
17F
18H
Paper 4
Solution
18H
19F
Paper 4
a
19F
i
a
Solution
i
ii
a
Solution
ii
b
19F
i
b
Solution
i
ii
b
Solution
ii
iii
b
Solution
iii
20G
Paper 4
Solution
20G
21H
Paper 4
Solution
21H
22G
Paper 4
Solution
22G
23F
Paper 4
Solution
23F
24H
Paper 4
a
24H
Solution
a
b
24H
Solution
b
25J
Paper 4
a
25J
Solution
a
b
25J
Solution
b
c
25J
Solution
c
d
25J
Solution
d
26J
Paper 4
a
26J
Solution
a
b
26J
Solution
b
27J
Paper 4
a
27J
Solution
a
b
27J
Solution
b
c
27J
Solution
c
28I
Paper 4
Solution
28I
29I
Paper 4
Solution
29I
30A
Paper 4
a
30A
Solution
a
b
30A
Solution
b
c
30A
Solution
c
31B
Paper 4
a
31B
Solution
a
b
31B
Solution
b
32A
Paper 4
Solution
32A
33D
Paper 4
Solution
33D
34D
Paper 4
Solution
34D
35E
Paper 4
Solution
35E
36A
Paper 4
Solution
36A
37B
Paper 4
Solution
37B
38C
Paper 4
Solution
38C
39C
Paper 4
a
39C
Solution
a
b
39C
Solution
b
1H
(Number Theory)
0
0
0
Paper 4
Solution
0
0
0
1H
2G
(Topics in Analysis)
0
0
0
Paper 4
a
0
0
0
2G
Solution
0
0
0
a
b
0
0
0
2G
Solution
0
0
0
b
3F
(Geometry and Groups)
0
0
0
Paper 4
Solution
0
0
0
3F
4G
(Coding and Cryptography)
0
0
0
Paper 4
Solution
0
0
0
4G
5I
(Statistical Modelling)
0
0
0
Paper 4
Solution
0
0
0
5I
6B
(Mathematical Biology)
0
0
0
Paper 4
a
0
0
0
6B
Solution
0
0
0
a
b
0
0
0
6B
Solution
0
0
0
b
7E
(Dynamical Systems)
0
0
0
Paper 4
Solution
0
0
0
7E
8E
(Further Complex Methods)
0
0
0
Paper 4
Solution
0
0
0
8E
9C
(Classical Dynamics)
0
0
0
Paper 4
Solution
0
0
0
9C
10D
(Cosmology)
0
0
0
Paper 4
Solution
0
0
0
10D
11H
(Number Theory)
0
0
0
Paper 4
a
0
0
0
11H
Solution
0
0
0
a
b
0
0
0
11H
Solution
0
0
0
b
12F
(Geometry and Groups)
0
0
0
Paper 4
Solution
0
0
0
12F
13I
(Statistical Modelling)
0
0
0
Paper 4
Solution
0
0
0
13I
14E
(Further Complex Methods)
0
0
0
Paper 4
a
0
0
0
14E
Solution
0
0
0
a
b
0
0
0
14E
Solution
0
0
0
b
15D
(Cosmology)
0
0
0
Paper 4
a
0
0
0
15D
Solution
0
0
0
a
b
0
0
0
15D
Solution
0
0
0
b
16H
(Logic and Set Theory)
0
0
0
Paper 4
Solution
0
0
0
16H
17F
(Graph Theory)
0
0
0
Paper 4
Solution
0
0
0
17F
18H
(Galois Theory)
0
0
0
Paper 4
Solution
0
0
0
18H
19F
(Representation Theory)
0
0
0
Paper 4
a
0
0
0
19F
i
0
0
0
a
Solution
0
0
0
i
ii
0
0
0
a
Solution
0
0
0
ii
b
0
0
0
19F
i
0
0
0
b
Solution
0
0
0
i
ii
0
0
0
b
Solution
0
0
0
ii
iii
0
0
0
b
Solution
0
0
0
iii
20G
(Number Fields)
0
0
0
Paper 4
Solution
0
0
0
20G
21H
(Algebraic Topology)
0
0
0
Paper 4
Solution
0
0
0
21H
22G
(Linear Analysis)
0
0
0
Paper 4
Solution
0
0
0
22G
23F
(Riemann Surfaces)
0
0
0
Paper 4
Solution
0
0
0
23F
24H
(Differential Geometry)
0
0
0
Paper 4
a
0
0
0
24H
Solution
0
0
0
a
b
0
0
0
24H
Solution
0
0
0
b
25J
(Probability and Measure)
0
0
0
Paper 4
a
0
0
0
25J
Solution
0
0
0
a
b
0
0
0
25J
Solution
0
0
0
b
c
0
0
0
25J
Solution
0
0
0
c
d
0
0
0
25J
Solution
0
0
0
d
26J
(Applied Probability)
0
0
0
Paper 4
a
0
0
0
26J
Solution
0
0
0
a
b
0
0
0
26J
Solution
0
0
0
b
27J
(Principles of Statistics)
0
0
0
Paper 4
a
0
0
0
27J
Solution
0
0
0
a
b
0
0
0
27J
Solution
0
0
0
b
c
0
0
0
27J
Solution
0
0
0
c
28I
(Stochastic Financial Models)
0
0
0
Paper 4
Solution
0
0
0
28I
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ii
2006
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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