Past exam of the mathematics course of the University of Cambridge / 2007 / ii / Paper 3

www.maths.cam.ac.uk/undergrad/pastpapers/files/2007/PaperII_3.pdf

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

Solution

8B (Further Complex Methods)

i

Solution

ii

Solution

iii

Solution

9C (Classical Dynamics)

Solution

10A (Cosmology)

Solution

11F (Number Theory)

Solution

12F (Topics in Analysis)

i

Solution

ii

Solution

13B (Mathematical Biology)

i

Solution

ii

Solution

iii

Solution

iv

Solution

14E (Dynamical Systems)

i

Solution

ii

Solution

iii

Solution

15A (Cosmology)

Solution

16G (Set Theory and Logic)

Solution

17H (Graph Theory)

Solution

18F (Galois Theory)

i

Solution

ii

Solution

19H (Representation Theory)

Solution

20H (Algebraic Topology)

Solution

21G (Linear Analysis)

Solution

22F (Riemann Surfaces)

i

Solution

ii

Solution

23H (Differential Geometry)

i

Solution

ii

Solution

iii

Solution

24J (Probability and Measure)

a

Solution

b

Solution

c

Solution

25J (Applied Probability)

a

Solution

b

Solution

c

Solution

d

Solution

e

Solution

26I (Principles of Statistics)

i

Solution

ii

Solution

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