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Past exam of the mathematics course of the University of Cambridge
/
2007
/
ii
/
Paper 2
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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
2007
ii
Created
2026-09-24
Updated
2026-09-24
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www.maths.cam.ac.uk/undergrad/pastpapers/files/2007/PaperII_2.pdf
Table of contents
1F
Paper 2
Solution
1F
2F
Paper 2
Solution
2F
3G
Paper 2
Solution
3G
4G
Paper 2
Solution
4G
5I
Paper 2
Solution
5I
6B
Paper 2
Solution
6B
7E
Paper 2
Solution
7E
8B
Paper 2
Solution
8B
9C
Paper 2
Solution
9C
10A
Paper 2
Solution
10A
11G
Paper 2
Solution
11G
12F
Paper 2
i
12F
Solution
i
ii
12F
Solution
ii
iii
12F
Solution
iii
13B
Paper 2
Solution
13B
14B
Paper 2
Solution
14B
15C
Paper 2
a
15C
Solution
a
b
15C
Solution
b
c
15C
Solution
c
16G
Paper 2
Solution
16G
17H
Paper 2
Solution
17H
18F
Paper 2
Solution
18F
19H
Paper 2
Solution
19H
20H
Paper 2
a
20H
Solution
a
b
20H
Solution
b
c
20H
Solution
c
21H
Paper 2
Solution
21H
22G
Paper 2
Solution
22G
23F
Paper 2
Solution
23F
24H
Paper 2
i
24H
Solution
i
ii
24H
Solution
ii
iii
24H
Solution
iii
25J
Paper 2
a
25J
Solution
a
b
25J
Solution
b
c
25J
Solution
c
d
25J
Solution
d
e
25J
Solution
e
26J
Paper 2
a
26J
Solution
a
b
26J
Solution
b
c
26J
Solution
c
d
26J
Solution
d
e
26J
Solution
e
f
26J
Solution
f
27I
Paper 2
i
27I
Solution
i
ii
27I
Solution
ii
28J
Paper 2
Solution
28J
29I
Paper 2
Solution
29I
30A
Paper 2
ii
30A
Solution
ii
31E
Paper 2
Solution
31E
32D
Paper 2
Solution
32D
33A
Paper 2
Solution
33A
34D
Paper 2
Solution
34D
35A
Paper 2
Solution
35A
36B
Paper 2
i
36B
Solution
i
ii
36B
Solution
ii
iii
36B
Solution
iii
37C
Paper 2
Solution
37C
38C
Paper 2
a
38C
Solution
a
b
38C
Solution
b
1F
(Number Theory)
0
0
0
Paper 2
Solution
0
0
0
1F
2F
(Topics in Analysis)
0
0
0
Paper 2
Solution
0
0
0
2F
3G
(Geometry of Group Actions)
0
0
0
Paper 2
Solution
0
0
0
3G
4G
(Coding and Cryptography)
0
0
0
Paper 2
Solution
0
0
0
4G
5I
(Statistical Modelling)
0
0
0
Paper 2
Solution
0
0
0
5I
6B
(Mathematical Biology)
0
0
0
Paper 2
Solution
0
0
0
6B
7E
(Dynamical Systems)
0
0
0
Paper 2
Solution
0
0
0
7E
8B
(Further Complex Methods)
0
0
0
Paper 2
Solution
0
0
0
8B
9C
(Classical Dynamics)
0
0
0
Paper 2
Solution
0
0
0
9C
10A
(Cosmology)
0
0
0
Paper 2
Solution
0
0
0
10A
11G
(Coding and Cryptography)
0
0
0
Paper 2
Solution
0
0
0
11G
12F
(Topics in Analysis)
0
0
0
Paper 2
i
0
0
0
12F
Solution
0
0
0
i
ii
0
0
0
12F
Solution
0
0
0
ii
iii
0
0
0
12F
Solution
0
0
0
iii
13B
(Mathematical Biology)
0
0
0
Paper 2
Solution
0
0
0
13B
14B
(Further Complex Methods)
0
0
0
Paper 2
Solution
0
0
0
14B
15C
(Classical Dynamics)
0
0
0
Paper 2
a
0
0
0
15C
Solution
0
0
0
a
b
0
0
0
15C
Solution
0
0
0
b
c
0
0
0
15C
Solution
0
0
0
c
16G
(Set Theory and Logic)
0
0
0
Paper 2
Solution
0
0
0
16G
17H
(Graph Theory)
0
0
0
Paper 2
Solution
0
0
0
17H
18F
(Galois Theory)
0
0
0
Paper 2
Solution
0
0
0
18F
19H
(Representation Theory)
0
0
0
Paper 2
Solution
0
0
0
19H
20H
(Number Fields)
0
0
0
Paper 2
a
0
0
0
20H
Solution
0
0
0
a
b
0
0
0
20H
Solution
0
0
0
b
c
0
0
0
20H
Solution
0
0
0
c
21H
(Algebraic Topology)
0
0
0
Paper 2
Solution
0
0
0
21H
22G
(Linear Analysis)
0
0
0
Paper 2
Solution
0
0
0
22G
23F
(Riemann Surfaces)
0
0
0
Paper 2
Solution
0
0
0
23F
24H
(Differential Geometry)
0
0
0
Paper 2
i
0
0
0
24H
Solution
0
0
0
i
ii
0
0
0
24H
Solution
0
0
0
ii
iii
0
0
0
24H
Solution
0
0
0
iii
25J
(Probability and Measure)
0
0
0
Paper 2
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
e
0
0
0
25J
Solution
0
0
0
e
26J
(Applied Probability)
0
0
0
Paper 2
a
0
0
0
26J
Solution
0
0
0
a
b
0
0
0
26J
Solution
0
0
0
b
c
0
0
0
26J
Solution
0
0
0
c
d
0
0
0
26J
Solution
0
0
0
d
e
0
0
0
26J
Solution
0
0
0
e
f
0
0
0
26J
Solution
0
0
0
f
27I
(Principles of Statistics)
0
0
0
Paper 2
i
0
0
0
27I
Solution
0
0
0
i
ii
0
0
0
27I
Solution
0
0
0
ii
28J
(Stochastic Financial Models)
0
0
0
Paper 2
Solution
0
0
0
28J
29I
(Optimization and Control)
0
0
0
Paper 2
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ii
2007
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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