Past exam of the mathematics course of the University of Cambridge / 2010 / ii / Paper 3

www.maths.cam.ac.uk/undergrad/pastpapers/files/2010/PaperII_3.pdf

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

1G (Number Theory)

ii

Solution

2F (Topics in Analysis)

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

11G (Number Theory)

i

Solution

ii

Solution

12F (Topics in Analysis)

i

Solution

ii

Solution

iii

Solution

iv

Solution

13A (Mathematical Biology)

Solution

14D (Dynamical Systems)

Solution

15D (Cosmology)

Solution

16G (Logic and Set Theory)

Solution

17F (Graph Theory)

i

Solution

ii

Solution

18H (Galois Theory)

i

Solution

ii

Solution

19F (Representation Theory)

Solution

20H (Algebraic Topology)

Solution

21H (Linear Analysis)

Solution

22G (Riemann Surfaces)

Solution

23G (Algebraic Geometry)

i

Solution

ii

Solution

24H (Differential Geometry)

i

Solution

ii

Solution

iii

Solution

25I (Probability and Measure)

Solution

26I (Applied Probability)

a

Solution

b

Solution

c

Solution

27J (Principles of Statistics)

Solution

28J (Optimization and Control)

Solution

29I (Stochastic Financial Models)

Solution

30E (Partial Differential Equations)

a

Solution

b

Solution

31C (Asymptotic Methods)

Solution

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