Past exam of the mathematics course of the University of Cambridge / 2005 / ii / Paper 1

www.maths.cam.ac.uk/undergrad/pastpapers/files/2005/PaperII_1.pdf

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

1H (Number Theory)

Solution

2F (Topics in Analysis)

Solution

3G (Geometry of Group Actions)

Solution

4J (Coding and Cryptography)

Solution

5I (Statistical Modelling)

Solution

6E (Mathematical Biology)

a

Solution

b

Solution

7B (Dynamical Systems)

Solution

8A (Further Complex Methods)

Solution

9C (Classical Dynamics)

Solution

10D (Cosmology)

a

Solution

b

Solution

c

Solution

11F (Topics in Analysis)

Solution

12G (Geometry of Group Actions)

Solution

13I (Statistical Modelling)

Solution

14B (Dynamical Systems)

Solution

15C (Classical Dynamics)

i

Solution

ii

Solution

16F (Logic and Set Theory)

Solution

17F (Graph Theory)

Solution

18G (Galois Theory)

Solution

19G (Representation Theory)

i

Solution

ii

Solution

iii

Solution

20G (Number Fields)

Solution

21H (Algebraic Topology)

i

Solution

ii

Solution

22F (Linear Analysis)

Solution

23H (Riemann Surfaces)

Solution

24H (Differential Geometry)

i

Solution

ii

Solution

iii

Solution

25J (Probability and Measure)

Solution

26I (Applied Probability)

a

Solution

b

Solution

27I (Principles of Statistics)

Solution

28J (Stochastic Financial Models)

Solution

29C (Partial Differential Equations)

Solution

30A (Asymptotic Methods)

Solution

31D (Integrable Systems)

a

Solution

b

Solution

c

Solution

32D (Principles of Quantum Mechanics)

Solution

33B (Applications of Quantum Mechanics)

Solution

34B (Electrodynamics)

Solution

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