Past exam of the mathematics course of the University of Cambridge / 2009 / ii / Paper 4

www.maths.cam.ac.uk/undergrad/pastpapers/files/2009/PaperII_4.pdf

Table of contents
- 1G Paper 4
  - Solution 1G
- 2F Paper 4
  - Solution 2F
- 3F Paper 4
  - Solution 3F
- 4H Paper 4
  - i 4H
    - Solution i
  - ii 4H
    - Solution ii
  - iii 4H
    - Solution iii
  - iv 4H
    - Solution iv
- 5I Paper 4
  - Solution 5I
- 6A Paper 4
  - Solution 6A
- 7E Paper 4
  - Solution 7E
- 8D Paper 4
  - Solution 8D
- 9E Paper 4
  - a 9E
    - Solution a
  - b 9E
    - Solution b
- 10D Paper 4
  - a 10D
    - Solution a
  - b 10D
    - Solution b
- 11G Paper 4
  - Solution 11G
- 12F Paper 4
  - ii 12F
    - Solution ii
- 13I Paper 4
  - Solution 13I
- 14E Paper 4
  - Solution 14E
- 15E Paper 4
  - Solution 15E
- 16G Paper 4
  - Solution 16G
- 17F Paper 4
  - Solution 17F
- 18H Paper 4
  - a 18H
    - Solution a
  - b 18H
    - Solution b
  - c 18H
    - Solution c
- 19F Paper 4
  - a 19F
    - Solution a
  - b 19F
    - Solution b
  - c 19F
    - Solution c
- 20H Paper 4
  - Solution 20H
- 21G Paper 4
  - Solution 21G
- 22H Paper 4
  - a 22H
    - Solution a
  - b 22H
    - Solution b
  - c 22H
    - Solution c
  - d 22H
    - Solution d
- 23G Paper 4
  - Solution 23G
- 24H Paper 4
  - a 24H
    - Solution a
  - b 24H
    - Solution b
  - c 24H
    - Solution c
- 25J Paper 4
  - Solution 25J
- 26J Paper 4
  - a 26J
    - Solution a
  - b 26J
    - Solution b
- 27I Paper 4
  - Solution 27I
- 28I Paper 4
  - a 28I
    - Solution a
  - b 28I
    - Solution b
- 29J Paper 4
  - Solution 29J
- 30B Paper 4
  - Solution 30B
- 31A Paper 4
  - Solution 31A
- 32C Paper 4
  - Solution 32C
- 33D Paper 4
  - Solution 33D
- 34D Paper 4
  - i 34D
    - Solution i
  - ii 34D
    - Solution ii
  - iii 34D
    - Solution iii
  - iv 34D
    - Solution iv
- 35C Paper 4
  - Solution 35C
- 36D Paper 4
  - Solution 36D
- 37E Paper 4
  - Solution 37E
- 38A Paper 4
  - Solution 38A
- 39B Paper 4
  - a 39B
    - Solution a
  - b 39B
    - Solution b

1G (Number Theory)

Solution

2F (Topics in Analysis)

Solution

3F (Geometry of Group Actions)

Solution

4H (Coding and Cryptography)

i

Solution

ii

Solution

iii

Solution

iv

Solution

5I (Statistical Modelling)

Solution

6A (Mathematical Biology)

Solution

7E (Dynamical Systems)

Solution

8D (Further Complex Methods)

Solution

9E (Classical Dynamics)

a

Solution

b

Solution

10D (Cosmology)

a

Solution

b

Solution

11G (Number Theory)

Solution

12F (Geometry of Group Actions)

ii

Solution

13I (Statistical Modelling)

Solution

14E (Dynamical Systems)

Solution

15E (Classical Dynamics)

Solution

16G (Logic and Set Theory)

Solution

17F (Graph Theory)

Solution

18H (Galois Theory)

a

Solution

b

Solution

c

Solution

19F (Representation Theory)

a

Solution

b

Solution

c

Solution

20H (Number Fields)

Solution

21G (Algebraic Topology)

Solution

22H (Linear Analysis)

a

Solution

b

Solution

c

Solution

d

Solution

23G (Algebraic Geometry)

Solution

24H (Differential Geometry)

a

Solution

b

Solution

c

Solution

25J (Probability and Measure)

Solution

26J (Applied Probability)

a

Solution

b

Solution

27I (Principles of Statistics)

Solution

28I (Optimization and Control)

a

Solution

b

Solution

29J (Stochastic Financial Models)

Solution

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