Past exam of the mathematics course of the University of Cambridge / 2010 / ii / Paper 2

www.maths.cam.ac.uk/undergrad/pastpapers/files/2010/PaperII_2.pdf

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

1G (Number Theory )

i

Solution

ii

Solution

2F (Topics in Analysis)

a

Solution

b

i

Solution

ii

Solution

iii

Solution

3F (Geometry of Group Actions)

Solution

4H (Coding and Cryptography)

Solution

5J (Statistical Modelling)

Solution

6A (Mathematical Biology)

Solution

7D (Dynamical Systems)

Solution

8E (Further Complex Methods)

Solution

9D (Classical Dynamics)

Solution

10D (Cosmology)

Solution

11F (Topics in Analysis)

i

Solution

ii

Solution

iii

Solution

iv

Solution

12H (Coding and Cryptography)

Solution

13A (Mathematical Biology)

Solution

14E (Further Complex Methods)

Solution

15D (Classical Dynamics)

Solution

16G (Logic and Set Theory)

Solution

17F (Graph Theory)

i

Solution

ii

Solution

iii

Solution

iv

Solution

18H (Galois Theory√ √)

Solution

19F (Representation Theory)

i

Solution

ii

Solution

20G (Number Fields √)

Solution

21H (Algebraic Topology)

Solution

22H (Linear Analysis)

Solution

23G (Riemann Surfaces)

Solution

24G (Algebraic Geometry)

Solution

25H (Differential Geometry)

i

Solution

ii

Solution

iii

Solution

26I (Probability and Measure)

Solution

27I (Applied Probability)

a

Solution

b

Solution

c

Solution

d

Solution

e

Solution

28J (Principles of Statistics)

Solution

29J (Optimization and Control)

a

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