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Past exam of the mathematics course of the University of Cambridge / 2009 / ii / Paper 2

www.maths.cam.ac.uk/undergrad/pastpapers/files/2009/PaperII_2.pdf

Table of contents 149
- 1G Paper 2 1
  - Solution 1G
- 2F Paper 2 4
  - a 2F 1
    - Solution a
  - b 2F 1
    - Solution b
- 3F Paper 2 1
  - Solution 3F
- 4H Paper 2 1
  - Solution 4H
- 5I Paper 2 1
  - Solution 5I
- 6A Paper 2 1
  - Solution 6A
- 7E Paper 2 4
  - i 7E 1
    - Solution i
  - ii 7E 1
    - Solution ii
- 8B Paper 2 4
  - i 8B 1
    - Solution i
  - ii 8B 1
    - Solution ii
- 9E Paper 2 1
  - Solution 9E
- 10D Paper 2 4
  - a 10D 1
    - Solution a
  - b 10D 1
    - Solution b
- 11F Paper 2 6
  - a 11F 1
    - Solution a
  - b 11F 1
    - Solution b
  - c 11F 1
    - Solution c
- 12H Paper 2 1
  - Solution 12H
- 13A Paper 2 1
  - Solution 13A
- 14C Paper 2 4
  - i 14C 1
    - Solution i
  - ii 14C 1
    - Solution ii
- 15E Paper 2 4
  - i 15E 1
    - Solution i
  - ii 15E 1
    - Solution ii
- 16G Paper 2 4
  - i 16G 1
    - Solution i
  - ii 16G 1
    - Solution ii
- 17F Paper 2 4
  - i 17F 1
    - Solution i
  - ii 17F 1
    - Solution ii
- 18H Paper 2 1
  - Solution 18H
- 19F Paper 2 6
  - i 19F 1
    - Solution i
  - ii 19F 1
    - Solution ii
  - iii 19F 1
    - Solution iii
- 20H Paper 2 6
  - i 20H 1
    - Solution i
  - ii 20H 1
    - Solution ii
  - iii 20H 1
    - Solution iii
- 21G Paper 2 1
  - Solution 21G
- 22H Paper 2 6
  - a 22H 1
    - Solution a
  - b 22H 1
    - Solution b
  - c 22H 1
    - Solution c
- 23G Paper 2 4
  - a 23G 1
    - Solution a
  - b 23G 1
    - Solution b
- 24G Paper 2 1
  - Solution 24G
- 25H Paper 2 6
  - a 25H 1
    - Solution a
  - b 25H 1
    - Solution b
  - c 25H 1
    - Solution c
- 26J Paper 2 1
  - Solution 26J
- 27J Paper 2 4
  - a 27J 1
    - Solution a
  - b 27J 1
    - Solution b
- 28I Paper 2 1
  - Solution 28I
- 29I Paper 2 1
  - Solution 29I
- 30J Paper 2 1
  - Solution 30J
- 31B Paper 2 7
  - a 31B 1
    - Solution a
  - b 31B 1
    - Solution b
  - c 31B 2
    - x c 1
      - Solution x
- 32B Paper 2 1
  - Solution 32B
- 33C Paper 2 1
  - Solution 33C
- 34D Paper 2 1
  - Solution 34D
- 35D Paper 2 6
  - i 35D 1
    - Solution i
  - ii 35D 1
    - Solution ii
  - iii 35D 1
    - Solution iii
- 36D Paper 2 1
  - Solution 36D
- 37E Paper 2 1
  - Solution 37E
- 38A Paper 2 1
  - Solution 38A
- 39B Paper 2 6
  - i 39B 1
    - Solution i
  - ii 39B 1
    - Solution ii
  - iii 39B 1
    - Solution iii

1G (Number Theory )

Articles: 1

Solution

2F (Topics in Analysis)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

3F (Geometry of Group Actions)

Articles: 1

Solution

4H (Coding and Cryptography)

Articles: 1

Solution

5I (Statistical Modelling)

Articles: 1

Solution

6A (Mathematical Biology)

Articles: 1

Solution

7E (Dynamical Systems)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

8B (Further Complex Methods)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

9E (Classical Dynamics)

Articles: 1

Solution

10D (Cosmology)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

11F (Topics in Analysis)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

12H (Coding and Cryptography)

Articles: 1

Solution

13A (Mathematical Biology)

Articles: 1

Solution

14C (Further Complex Methods)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

15E (Classical Dynamics)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

16G (Logic and Set Theory)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

17F (Graph Theory)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

18H (Galois Theory)

Articles: 1

Solution

19F (Representation Theory)

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

20H (Number Fields)

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

21G (Algebraic Topology)

Articles: 1

Solution

22H (Linear Analysis)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

23G (Riemann Surfaces)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

24G (Algebraic Geometry)

Articles: 1

Solution

25H (Differential Geometry)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

26J (Probability and Measure)

Articles: 1

Solution

27J (Applied Probability)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

28I (Principles of Statistics)

Articles: 1

Solution

29I (Optimization and Control)

Articles: 1

Solution

30J (Stochastic Financial Models)

Articles: 1

Solution

31B (Partial Differential Equations)

Articles: 7

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 2

x

Articles: 1

Solution

32B (Integrable Systems)

Articles: 1

Solution

33C (Principles of Quantum Mechanics)

Articles: 1

Solution

34D (Applications of Quantum Mechanics)

Articles: 1

Solution

35D (Statistical Physics)

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

36D (General Relativity)

Articles: 1

Solution

37E (Fluid Dynamics II)

Articles: 1

Solution

38A (Waves)

Articles: 1

Solution

39B (Numerical Analysis)

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

 Ancestors (8)