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Past exam of the mathematics course of the University of Cambridge
/
2005
/
ib
/
Paper 4
...
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
2005
ib
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Articles: 55
www.maths.cam.ac.uk/undergrad/pastpapers/files/2005/PaperIB_4.pdf
Table of contents
55
1B
Paper 4
1
Solution
1B
2C
Paper 4
1
Solution
2C
3B
Paper 4
1
Solution
3B
4A
Paper 4
6
a
4A
1
Solution
a
b
4A
1
Solution
b
c
4A
1
Solution
c
5H
Paper 4
1
Solution
5H
6G
Paper 4
1
Solution
6G
7H
Paper 4
1
Solution
7H
8F
Paper 4
1
Solution
8F
9D
Paper 4
1
Solution
9D
10B
Paper 4
4
i
10B
1
Solution
i
ii
10B
1
Solution
ii
11C
Paper 4
1
Solution
11C
12A
Paper 4
1
Solution
12A
13B
Paper 4
1
Solution
13B
14A
Paper 4
1
Solution
14A
15F
Paper 4
1
Solution
15F
16H
Paper 4
1
Solution
16H
17G
Paper 4
1
Solution
17G
18E
Paper 4
1
Solution
18E
19D
Paper 4
8
i
19D
1
Solution
i
ii
19D
1
Solution
ii
iii
19D
1
Solution
iii
iv
19D
1
Solution
iv
20D
Paper 4
1
Solution
20D
1B
(Linear Algebra)
Articles: 1
Paper 4
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Solution
1B
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2C
(Groups, Rings and Modules)
Articles: 1
Paper 4
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Solution
2C
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3B
(Analysis II)
Articles: 1
Paper 4
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Solution
3B
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4A
(Complex Analysis)
Articles: 6
Paper 4
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a
Articles: 1
4A
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Solution
a
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b
Articles: 1
4A
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Solution
b
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c
Articles: 1
4A
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Solution
c
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5H
(Methods)
Articles: 1
Paper 4
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Solution
5H
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6G
(Quantum Mechanics)
Articles: 1
Paper 4
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Solution
6G
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7H
(Electromagnetism)
Articles: 1
Paper 4
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Solution
7H
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8F
(Numerical Analysis)
Articles: 1
Paper 4
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Solution
8F
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9D
(Markov Chains)
Articles: 1
Paper 4
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Solution
9D
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10B
(Linear Algebra)
Articles: 4
Paper 4
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i
Articles: 1
10B
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Solution
i
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ii
Articles: 1
10B
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Solution
ii
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11C
(Groups, Rings and Modules)
Articles: 1
Paper 4
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Solution
11C
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12A
(Geometry)
Articles: 1
Paper 4
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Solution
12A
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13B
(Analysis II)
Articles: 1
Paper 4
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Solution
13B
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14A
(Metric and Topological Spaces)
Articles: 1
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Solution
14A
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15F
(Complex Methods)
Articles: 1
Paper 4
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Solution
15F
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16H
(Methods)
Articles: 1
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Solution
16H
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17G
(Special Relativity)
Articles: 1
Paper 4
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Solution
17G
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18E
(Fluid Dynamics)
Articles: 1
Paper 4
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Solution
18E
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19D
(Statistics)
Articles: 8
Paper 4
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i
Articles: 1
19D
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Solution
i
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ii
Articles: 1
19D
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Solution
ii
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iii
Articles: 1
19D
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Solution
iii
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iv
Articles: 1
19D
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Solution
iv
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20D
(Optimization)
Articles: 1
Paper 4
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Solution
20D
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Ancestors
(8)
Ib
2005
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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