Past exam of the mathematics course of the University of Cambridge / 2005 / ii / Paper 3

www.maths.cam.ac.uk/undergrad/pastpapers/files/2005/PaperII_3.pdf

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

1H (Number Theory)

Solution

2F (Topics in Analysis)

i

Solution

ii

Solution

iii

Solution

3G (Geometry of Group Actions)

Solution

4J (Coding and Cryptography)

Solution

5I (Statistical Modelling)

a

Solution

b

Solution

6E (Mathematical Biology)

a

Solution

b

Solution

c

Solution

7B (Dynamical Systems)

Solution

8A (Further Complex Methods)

Solution

9C (Classical Dynamics)

Solution

10D (Cosmology)

a

Solution

b

Solution

c

Solution

11H (Number Theory)

Solution

12J (Coding and Cryptography)

Solution

13E (Mathematical Biology)

a

Solution

b

Solution

c

Solution

d

Solution

e

Solution

f

Solution

14A (Further Complex Methods)

i

Solution

ii

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

iv

Solution

20H (Algebraic Topology)

Solution

21F (Linear Analysis)

Solution

22H (Riemann Surfaces)

Solution

23H (Differential Geometry)

i

Solution

ii

Solution

iii

Solution

24J (Probability and Measure)

a

Solution

b

25I (Applied Probability)

Solution

26I (Principles of Statistics)

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