Past exam of the mathematics course of the University of Cambridge / 2008 / ii / Paper 1

www.maths.cam.ac.uk/undergrad/pastpapers/files/2008/PaperII_1.pdf

Table of contents
- 1H Paper 1
  - Solution 1H
- 2F Paper 1
  - Solution 2F
- 3G Paper 1
  - Solution 3G
- 4G Paper 1
  - Solution 4G
- 5J Paper 1
  - Solution 5J
- 6B Paper 1
  - Solution 6B
- 7A Paper 1
  - i 7A
    - Solution i
- 8C Paper 1
  - Solution 8C
- 9A Paper 1
  - Solution 9A
- 10E Paper 1
  - Solution 10E
- 11G Paper 1
  - Solution 11G
- 12G Paper 1
  - Solution 12G
- 13J Paper 1
  - Solution 13J
- 14C Paper 1
  - Solution 14C
- 15E Paper 1
  - i 15E
    - Solution i
  - ii 15E
    - Solution ii
- 16G Paper 1
  - Solution 16G
- 17F Paper 1
  - i 17F
    - Solution i
  - ii 17F
    - Solution ii
  - iii 17F
    - Solution iii
- 18H Paper 1
  - i 18H
    - Solution i
  - iii 18H
    - Solution iii
- 19G Paper 1
  - Solution 19G
- 20G Paper 1
  - a 20G
    - Solution a
  - b 20G
    - Solution b
- 21F Paper 1
  - i 21F
    - Solution i
  - ii 21F
    - Solution ii
  - iii 21F
    - Solution iii
- 22F Paper 1
  - Solution 22F
- 23H Paper 1
  - Solution 23H
- 24H Paper 1
  - a 24H
    - Solution a
  - b 24H
    - Solution b
  - c 24H
    - Solution c
- 25J Paper 1
  - Solution 25J
- 26I Paper 1
  - i 26I
    - Solution i
  - ii 26I
    - Solution ii
  - iii 26I
    - Solution iii
  - iv 26I
    - Solution iv
  - v 26I
    - Solution v
  - vi 26I
    - Solution vi
- 27I Paper 1
  - Solution 27I
- 28J Paper 1
  - a 28J
    - Solution a
  - b 28J
    - Solution b
  - c 28J
    - Solution c
  - d 28J
    - Solution d
  - e 28J
    - Solution e
- 29C Paper 1
  - i 29C
    - Solution i
  - ii 29C
    - Solution ii
  - iii 29C
    - Solution iii
- 30A Paper 1
  - Solution 30A
- 31C Paper 1
  - Solution 31C
- 32D Paper 1
  - a 32D
    - Solution a
  - b 32D
    - Solution b
- 33E Paper 1
  - Solution 33E
- 34D Paper 1
  - Solution 34D
- 35E Paper 1
  - Solution 35E
- 36A Paper 1
  - a 36A
    - Solution a
  - b 36A
    - Solution b
- 37B Paper 1
  - Solution 37B
- 38C Paper 1
  - a 38C
    - Solution a
  - b 38C
    - Solution b

1H (Number Theory)

Solution

2F (Topics in Analysis)

Solution

3G (Geometry of Group Actions)

Solution

4G (Coding and Cryptography)

Solution

5J (Statistical Modelling)

Solution

6B (Mathematical Biology)

Solution

7A (Dynamical Systems)

i

Solution

8C (Further Complex Methods)

Solution

9A (Classical Dynamics)

Solution

10E (Cosmology)

Solution

11G (Geometry of Group Actions)

Solution

12G (Coding and Cryptography)

Solution

13J (Statistical Modelling)

Solution

14C (Further Complex Methods)

Solution

15E (Cosmology)

i

Solution

ii

Solution

16G (Logic and Set Theory)

Solution

17F (Graph Theory)

i

Solution

ii

Solution

iii

Solution

18H (Galois Theory)

i

Solution

iii

Solution

19G (Representation Theory)

Solution

20G (Number Fields)

a

Solution

b

Solution

21F (Algebraic Topology)

i

Solution

ii

Solution

iii

Solution

22F (Linear Analysis)

Solution

23H (Riemann Surfaces)

Solution

24H (Differential Geometry)

a

Solution

b

Solution

c

Solution

25J (Probability and Measure)

Solution

26I (Applied Probability)

i

Solution

ii

Solution

iii

Solution

iv

Solution

v

Solution

vi

Solution

27I (Principles of Statistics)

Solution

28J (Stochastic Financial Models)

a

Solution

b

Solution

c

Solution

d

Solution

e

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