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Past exam of the mathematics course of the University of Cambridge
/
2006
/
ib
/
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
2006
ib
Created
2026-09-24
Updated
2026-09-24
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www.maths.cam.ac.uk/undergrad/pastpapers/files/2006/PaperIB_3.pdf
Table of contents
1E
Paper 3
i
1E
Solution
i
ii
1E
Solution
ii
2H
Paper 3
Solution
2H
3F
Paper 3
Solution
3F
4F
Paper 3
i
4F
Solution
i
ii
4F
Solution
ii
5D
Paper 3
Solution
5D
6A
Paper 3
Solution
6A
7B
Paper 3
Solution
7B
8C
Paper 3
a
8C
Solution
a
b
8C
Solution
b
9C
Paper 3
Solution
9C
10H
Paper 3
a
10H
Solution
a
b
10H
Solution
b
c
10H
Solution
c
11E
Paper 3
Solution
11E
12H
Paper 3
Solution
12H
13F
Paper 3
Solution
13F
14H
Paper 3
Solution
14H
15G
Paper 3
a
15G
Solution
a
b
15G
Solution
b
16B
Paper 3
Solution
16B
17G
Paper 3
Solution
17G
18A
Paper 3
Solution
18A
19D
Paper 3
a
19D
Solution
a
b
19D
Solution
b
c
19D
Solution
c
20C
Paper 3
Solution
20C
1E
(Groups, Rings and Modules)
0
0
0
Paper 3
i
0
0
0
1E
Solution
0
0
0
i
ii
0
0
0
1E
Solution
0
0
0
ii
2H
(Geometry)
0
0
0
Paper 3
Solution
0
0
0
2H
3F
(Analysis II)
0
0
0
Paper 3
Solution
0
0
0
3F
4F
(Metric and Topological Spaces)
0
0
0
Paper 3
i
0
0
0
4F
Solution
0
0
0
i
ii
0
0
0
4F
Solution
0
0
0
ii
5D
(Complex Methods)
0
0
0
Paper 3
Solution
0
0
0
5D
6A
(Methods)
0
0
0
Paper 3
Solution
0
0
0
6A
7B
(Quantum Mechanics)
0
0
0
Paper 3
Solution
0
0
0
7B
8C
(Statistics)
0
0
0
Paper 3
a
0
0
0
8C
Solution
0
0
0
a
b
0
0
0
8C
Solution
0
0
0
b
9C
(Markov Chains)
0
0
0
Paper 3
Solution
0
0
0
9C
10H
(Linear Algebra)
0
0
0
Paper 3
a
0
0
0
10H
Solution
0
0
0
a
b
0
0
0
10H
Solution
0
0
0
b
c
0
0
0
10H
Solution
0
0
0
c
11E
(Groups, Rings and Modules)
0
0
0
Paper 3
Solution
0
0
0
11E
12H
(Geometry)
0
0
0
Paper 3
Solution
0
0
0
12H
13F
(Analysis II)
0
0
0
Paper 3
Solution
0
0
0
13F
14H
(Complex Analysis)
0
0
0
Paper 3
Solution
0
0
0
14H
15G
(Methods)
0
0
0
Paper 3
a
0
0
0
15G
Solution
0
0
0
a
b
0
0
0
15G
Solution
0
0
0
b
16B
(Quantum Mechanics)
0
0
0
Paper 3
Solution
0
0
0
16B
17G
(Electromagnetism)
0
0
0
Paper 3
Solution
0
0
0
17G
18A
(Fluid Dynamics)
0
0
0
Paper 3
Solution
0
0
0
18A
19D
(Numerical Analysis)
0
0
0
Paper 3
a
0
0
0
19D
Solution
0
0
0
a
b
0
0
0
19D
Solution
0
0
0
b
c
0
0
0
19D
Solution
0
0
0
c
20C
(Optimization)
0
0
0
Paper 3
Solution
0
0
0
20C
Ancestors
(8)
ib
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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