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Past exam of the mathematics course of the University of Cambridge
/
2008
/
ii
/
Paper 3
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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
2008
ii
Created
2026-09-24
Updated
2026-09-24
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www.maths.cam.ac.uk/undergrad/pastpapers/files/2008/PaperII_3.pdf
Table of contents
1H
Paper 3
Solution
1H
2F
Paper 3
a
2F
Solution
a
b
2F
Solution
b
3G
Paper 3
Solution
3G
4G
Paper 3
Solution
4G
5J
Paper 3
Solution
5J
6B
Paper 3
Solution
6B
7A
Paper 3
Solution
7A
8C
Paper 3
Solution
8C
9E
Paper 3
Solution
9E
10E
Paper 3
Solution
10E
11H
Paper 3
Solution
11H
12F
Paper 3
a
12F
Solution
a
b
12F
Solution
b
13B
Paper 3
Solution
13B
14A
Paper 3
a
14A
Solution
a
b
14A
Solution
b
c
14A
Solution
c
15E
Paper 3
i
15E
Solution
i
ii
15E
Solution
ii
16G
Paper 3
Solution
16G
17F
Paper 3
Solution
17F
18H
Paper 3
a
18H
Solution
a
b
18H
Solution
b
19G
Paper 3
Solution
19G
20F
Paper 3
Solution
20F
21F
Paper 3
Solution
21F
22H
Paper 3
Solution
22H
23H
Paper 3
a
23H
Solution
a
b
23H
Solution
b
c
23H
Solution
c
24J
Paper 3
i
24J
Solution
i
ii
24J
Solution
ii
25I
Paper 3
a
25I
Solution
a
b
25I
Solution
b
26I
Paper 3
Solution
26I
27J
Paper 3
Solution
27J
28I
Paper 3
Solution
28I
29C
Paper 3
i
29C
Solution
i
ii
29C
Solution
ii
iii
29C
Solution
iii
iv
29C
Solution
iv
30A
Paper 3
a
30A
Solution
a
b
30A
Solution
b
c
30A
Solution
c
31C
Paper 3
Solution
31C
32D
Paper 3
Solution
32D
33E
Paper 3
Solution
33E
34E
Paper 3
Solution
34E
35D
Paper 3
Solution
35D
36A
Paper 3
Solution
36A
37B
Paper 3
Solution
37B
38C
Paper 3
a
38C
Solution
a
b
38C
Solution
b
1H
(Number Theory)
0
0
0
Paper 3
Solution
0
0
0
1H
2F
(Topics in Analysis)
0
0
0
Paper 3
a
0
0
0
2F
Solution
0
0
0
a
b
0
0
0
2F
Solution
0
0
0
b
3G
(Geometry of Group Actions)
0
0
0
Paper 3
Solution
0
0
0
3G
4G
(Coding and Cryptography)
0
0
0
Paper 3
Solution
0
0
0
4G
5J
(Statistical Modelling)
0
0
0
Paper 3
Solution
0
0
0
5J
6B
(Mathematical Biology)
0
0
0
Paper 3
Solution
0
0
0
6B
7A
(Dynamical Systems)
0
0
0
Paper 3
Solution
0
0
0
7A
8C
(Further Complex Methods)
0
0
0
Paper 3
Solution
0
0
0
8C
9E
(Classical Dynamics)
0
0
0
Paper 3
Solution
0
0
0
9E
10E
(Cosmology)
0
0
0
Paper 3
Solution
0
0
0
10E
11H
(Number Theory)
0
0
0
Paper 3
Solution
0
0
0
11H
12F
(Topics in Analysis)
0
0
0
Paper 3
a
0
0
0
12F
Solution
0
0
0
a
b
0
0
0
12F
Solution
0
0
0
b
13B
(Mathematical Biology)
0
0
0
Paper 3
Solution
0
0
0
13B
14A
(Dynamical Systems)
0
0
0
Paper 3
a
0
0
0
14A
Solution
0
0
0
a
b
0
0
0
14A
Solution
0
0
0
b
c
0
0
0
14A
Solution
0
0
0
c
15E
(Cosmology)
0
0
0
Paper 3
i
0
0
0
15E
Solution
0
0
0
i
ii
0
0
0
15E
Solution
0
0
0
ii
16G
(Logic and Set Theory)
0
0
0
Paper 3
Solution
0
0
0
16G
17F
(Graph Theory)
0
0
0
Paper 3
Solution
0
0
0
17F
18H
(Galois Theory)
0
0
0
Paper 3
a
0
0
0
18H
Solution
0
0
0
a
b
0
0
0
18H
Solution
0
0
0
b
19G
(Representation Theory)
0
0
0
Paper 3
Solution
0
0
0
19G
20F
(Algebraic Topology)
0
0
0
Paper 3
Solution
0
0
0
20F
21F
(Linear Analysis)
0
0
0
Paper 3
Solution
0
0
0
21F
22H
(Riemann Surfaces)
0
0
0
Paper 3
Solution
0
0
0
22H
23H
(Differential Geometry)
0
0
0
Paper 3
a
0
0
0
23H
Solution
0
0
0
a
b
0
0
0
23H
Solution
0
0
0
b
c
0
0
0
23H
Solution
0
0
0
c
24J
(Probability and Measure)
0
0
0
Paper 3
i
0
0
0
24J
Solution
0
0
0
i
ii
0
0
0
24J
Solution
0
0
0
ii
25I
(Applied Probability)
0
0
0
Paper 3
a
0
0
0
25I
Solution
0
0
0
a
b
0
0
0
25I
Solution
0
0
0
b
26I
(Principles of Statistics)
0
0
0
Paper 3
Solution
0
0
0
26I
27J
(Stochastic Financial Models)
0
0
0
Paper 3
Solution
0
0
0
27J
28I
(Optimization and Control)
0
0
0
Paper 3
Solution
0
0
0
28I
29C
(Partial Differential Equations)
0
0
0
Paper 3
i
0
0
0
29C
Solution
0
0
0
i
ii
0
0
0
29C
Solution
0
0
0
ii
iii
0
0
0
29C
Solution
0
0
0
iii
iv
0
0
0
29C
Solution
0
0
0
iv
30A
(Asymptotic Methods)
0
0
0
Paper 3
a
0
0
0
30A
Solution
0
0
0
a
b
0
0
0
30A
Solution
0
0
0
b
c
0
0
0
30A
Solution
0
0
0
c
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2008
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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