Past exam of the mathematics course of the University of Cambridge / 2010 / ii / Paper 1

www.maths.cam.ac.uk/undergrad/pastpapers/files/2010/PaperII_1.pdf

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

1G (Number Theory)

i

Solution

ii

Solution

2F (Topics in Analysis)

i

Solution

ii

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 (Geometry of Group Actions)

Solution

12H (Coding and Cryptography)

Solution

13J (Statistical Modelling)

Solution

14E (Further Complex Methods)

i

Solution

ii

Solution

iii

Solution

iv

Solution

15D (Cosmology)

Solution

16G (Logic and Set Theory)

Solution

17F (Graph Theory)

a

Solution

b

i

Solution

ii

Solution

iii

Solution

iv

Solution

18H (Galois Theory)

i

Solution

ii

Solution

iii

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)

i

Solution

ii

Solution

iii

Solution

25H (Differential Geometry)

i

Solution

ii

Solution

iii

Solution

26I (Probability and Measure)

Solution

27I (Applied Probability)

a

Solution

b

Solution

c

Solution

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