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Past exam of the mathematics course of the University of Cambridge
/
2007
/
ib
/
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
2007
ib
Created
2026-09-24
Updated
2026-09-24
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www.maths.cam.ac.uk/undergrad/pastpapers/files/2007/PaperIB_4.pdf
Table of contents
1G
Paper 4
Solution
1G
2G
Paper 4
Solution
2G
3H
Paper 4
i
3H
Solution
i
ii
3H
Solution
ii
4H
Paper 4
Solution
4H
5B
Paper 4
Solution
5B
6B
Paper 4
Solution
6B
7E
Paper 4
Solution
7E
8F
Paper 4
Solution
8F
9C
Paper 4
i
9C
Solution
i
ii
9C
Solution
ii
10G
Paper 4
i
10G
Solution
i
ii
10G
Solution
ii
11G
Paper 4
i
11G
Solution
i
ii
11G
Solution
ii
12A
Paper 4
Solution
12A
13H
Paper 4
Solution
13H
14A
Paper 4
a
14A
Solution
a
b
14A
Solution
b
15F
Paper 4
i
15F
Solution
i
ii
15F
Solution
ii
iii
15F
Solution
iii
iv
15F
Solution
iv
16E
Paper 4
Solution
16E
17B
Paper 4
a
17B
Solution
a
b
17B
Solution
b
18D
Paper 4
Solution
18D
19C
Paper 4
i
19C
Solution
i
ii
19C
Solution
ii
iii
19C
Solution
iii
iv
19C
Solution
iv
20C
Paper 4
i
20C
Solution
i
ii
20C
Solution
ii
iii
20C
Solution
iii
1G
(Linear Algebra)
0
0
0
Paper 4
Solution
0
0
0
1G
2G
(Groups, Rings and Modules)
0
0
0
Paper 4
Solution
0
0
0
2G
3H
(Analysis II)
0
0
0
Paper 4
i
0
0
0
3H
Solution
0
0
0
i
ii
0
0
0
3H
Solution
0
0
0
ii
4H
(Complex Analysis)
0
0
0
Paper 4
Solution
0
0
0
4H
5B
(Methods)
0
0
0
Paper 4
Solution
0
0
0
5B
6B
(Quantum Mechanics)
0
0
0
Paper 4
Solution
0
0
0
6B
7E
(Electromagnetism)
0
0
0
Paper 4
Solution
0
0
0
7E
8F
(Numerical Analysis)
0
0
0
Paper 4
Solution
0
0
0
8F
9C
(Markov Chains)
0
0
0
Paper 4
i
0
0
0
9C
Solution
0
0
0
i
ii
0
0
0
9C
Solution
0
0
0
ii
10G
(Linear Algebra)
0
0
0
Paper 4
i
0
0
0
10G
Solution
0
0
0
i
ii
0
0
0
10G
Solution
0
0
0
ii
11G
(Groups, Rings and Modules)
0
0
0
Paper 4
i
0
0
0
11G
Solution
0
0
0
i
ii
0
0
0
11G
Solution
0
0
0
ii
12A
(Geometry)
0
0
0
Paper 4
Solution
0
0
0
12A
13H
(Analysis II)
0
0
0
Paper 4
Solution
0
0
0
13H
14A
(Metric and Topological Spaces)
0
0
0
Paper 4
a
0
0
0
14A
Solution
0
0
0
a
b
0
0
0
14A
Solution
0
0
0
b
15F
(Complex Methods)
0
0
0
Paper 4
i
0
0
0
15F
Solution
0
0
0
i
ii
0
0
0
15F
Solution
0
0
0
ii
iii
0
0
0
15F
Solution
0
0
0
iii
iv
0
0
0
15F
Solution
0
0
0
iv
16E
(Methods)
0
0
0
Paper 4
Solution
0
0
0
16E
17B
(Special Relativity)
0
0
0
Paper 4
a
0
0
0
17B
Solution
0
0
0
a
b
0
0
0
17B
Solution
0
0
0
b
18D
(Fluid Dynamics)
0
0
0
Paper 4
Solution
0
0
0
18D
19C
(Statistics)
0
0
0
Paper 4
i
0
0
0
19C
Solution
0
0
0
i
ii
0
0
0
19C
Solution
0
0
0
ii
iii
0
0
0
19C
Solution
0
0
0
iii
iv
0
0
0
19C
Solution
0
0
0
iv
20C
(Optimization)
0
0
0
Paper 4
i
0
0
0
20C
Solution
0
0
0
i
ii
0
0
0
20C
Solution
0
0
0
ii
iii
0
0
0
20C
Solution
0
0
0
iii
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(8)
ib
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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