Past exam of the mathematics course of the University of Cambridge / 2009 / ii / Paper 3

www.maths.cam.ac.uk/undergrad/pastpapers/files/2009/PaperII_3.pdf

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

1G (Number Theory P)

Solution

2F (Topics in Analysis)

a

Solution

b

Solution

3F (Geometry of Group Actions)

Solution

4H (Coding and Cryptography)

Solution

5I (Statistical Modelling)

Solution

6A (Mathematical Biology)

Solution

7E (Dynamical Systems)

Solution

8B (Further Complex Methods)

Solution

9E (Classical Dynamics)

a

Solution

b

Solution

10D (Cosmology)

a

Solution

b

Solution

11G (Number Theory)

Solution

12F (Topics in Analysis)

a

Solution

b

Solution

c

Solution

13A (Mathematical Biology)

Solution

14E (Dynamical Systems)

i

Solution

ii

Solution

iii

Solution

15D (Cosmology)

i

Solution

ii

Solution

16G (Logic and Set Theory)

Solution

17F (Graph Theory)

a

Solution

b

Solution

c

Solution

18H (Galois Theory)

Solution

19F (Representation Theory)

i

Solution

ii

Solution

iii

Solution

20G (Algebraic Topology)

i

Solution

ii

Solution

21H (Linear Analysis)

a

Solution

b

Solution

c

Solution

22G (Riemann Surfaces)

i

Solution

ii

Solution

23G (Algebraic Geometry)

Solution

24H (Differential Geometry)

a

Solution

b

Solution

25J (Probability and Measure)

Solution

26J (Applied Probability)

a

Solution

b

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