Past exam of the mathematics course of the University of Cambridge / 2007 / ii / Paper 4

www.maths.cam.ac.uk/undergrad/pastpapers/files/2007/PaperII_4.pdf

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

1F (Number Theory)

Solution

2F (Topics in Analysis)

Solution

3G (Geometry of Group Actions)

Solution

4G (Coding and Cryptography)

Solution

5I (Statistical Modelling)

Solution

6B (Mathematical Biology)

Solution

7E (Dynamical Systems)

i

Solution

ii

Solution

iii

Solution

8B (Further Complex Methods)

i

Solution

ii

Solution

9C (Classical Dynamics)

a

Solution

b

Solution

10A (Cosmology)

Solution

11F (Number Theory)

i

Solution

ii

Solution

12G (Geometry of Group Actions)

Solution

13I (Statistical Modelling)

Solution

14E (Dynamical Systems)

i

Solution

ii

Solution

15C (Classical Dynamics)

Solution

16G (Set Theory and Logic)

Solution

17H (Graph Theory)

Solution

18F (Galois Theory)

Solution

19H (Representation Theory)

Solution

20H (Number Fields)

Solution

21H (Algebraic Topology)

Solution

22G (Linear Analysis)

Solution

23F (Riemann Surfaces)

Solution

24H (Differential Geometry)

i

Solution

ii

Solution

25J (Probability and Measure)

a

Solution

b

Solution

c

Solution

d

Solution

26J (Applied Probability)

a

Solution

b

Solution

c

Solution

d

Solution

e

Solution

27I (Principles of Statistics)

Solution

28J (Stochastic Financial Models)

Solution

29I (Optimization and Control)

Solution

30A (Partial Differential Equations)

Solution

31B (Asymptotic Methods)

Solution

32D (Principles of Quantum Mechanics)

Solution

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