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Past exam of the mathematics course of the University of Cambridge / 2015 / ii / Paper 1

www.maths.cam.ac.uk/undergrad/pastpapers/files/2015/PaperII_1.pdf

Table of contents 166
- 1H Paper 1 1
  - Solution 1H
- 2I Paper 1 8
  - i 2I 1
    - Solution i
  - ii 2I 1
    - Solution ii
  - iii 2I 1
    - Solution iii
  - iv 2I 1
    - Solution iv
- 3G Paper 1 1
  - Solution 3G
- 4J Paper 1 1
  - Solution 4J
- 5E Paper 1 1
  - Solution 5E
- 6B Paper 1 1
  - Solution 6B
- 7D Paper 1 7
  - a 7D 1
    - Solution a
  - b 7D 4
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
- 8C Paper 1 1
  - Solution 8C
- 9G Paper 1 4
  - a 9G 1
    - Solution a
  - b 9G 1
    - Solution b
- 10J Paper 1 1
  - Solution 10J
- 11B Paper 1 1
  - Solution 11B
- 12C Paper 1 1
  - Solution 12C
- 13I Paper 1 1
  - Solution 13I
- 14I Paper 1 6
  - a 14I 1
    - Solution a
  - b 14I 1
    - Solution b
  - c 14I 1
    - Solution c
- 15F Paper 1 9
  - a 15F 1
    - Solution a
  - b 15F 6
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
- 16H Paper 1 4
  - a 16H 1
    - Solution a
  - b 16H 1
    - Solution b
- 17F Paper 1 6
  - i 17F 1
    - Solution i
  - ii 17F 1
    - Solution ii
  - iii 17F 1
    - Solution iii
- 18H Paper 1 1
  - Solution 18H
- 19G Paper 1 4
  - a 19G 1
    - Solution a
  - b 19G 1
    - Solution b
- 20F Paper 1 1
  - Solution 20F
- 21F Paper 1 6
  - i 21F 1
    - Solution i
  - ii 21F 1
    - Solution ii
  - iii 21F 1
    - Solution iii
- 22G Paper 1 1
  - Solution 22G
- 23J Paper 1 8
  - a 23J 1
    - Solution a
  - b 23J 1
    - Solution b
  - c 23J 1
    - Solution c
  - d 23J 1
    - Solution d
- 24K Paper 1 4
  - a 24K 1
    - Solution a
  - b 24K 1
    - Solution b
- 25J Paper 1 1
  - Solution 25J
- 26K Paper 1 6
  - i 26K 1
    - Solution i
  - ii 26K 1
    - Solution ii
  - iii 26K 1
    - Solution iii
- 27C Paper 1 4
  - a 27C 1
    - Solution a
  - b 27C 1
    - Solution b
- 28B Paper 1 4
  - a 28B 1
    - Solution a
  - b 28B 1
    - Solution b
- 29D Paper 1 1
  - Solution 29D
- 30E Paper 1 4
  - a 30E 1
    - Solution a
  - b 30E 1
    - Solution b
- 31A Paper 1 1
  - Solution 31A
- 32A Paper 1 1
  - Solution 32A
- 33C Paper 1 6
  - a 33C 1
    - Solution a
  - b 33C 1
    - Solution b
  - c 33C 1
    - Solution c
- 34A Paper 1 4
  - i 34A 1
    - Solution i
  - ii 34A 1
    - Solution ii
- 35D Paper 1 6
  - a 35D 1
    - Solution a
  - b 35D 1
    - Solution b
  - c 35D 1
    - Solution c
- 36E Paper 1 6
  - i 36E 1
    - Solution i
  - ii 36E 1
    - Solution ii
  - iii 36E 1
    - Solution iii
- 37B Paper 1 1
  - Solution 37B
- 38E Paper 1 4
  - a 38E 1
    - Solution a
  - b 38E 1
    - Solution b

1H (Number Theory)

Articles: 1

Solution

2I (Topics in Analysis)

Articles: 8

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

iv

Articles: 1

Solution

3G (Coding and Cryptography)

Articles: 1

Solution

4J (Statistical Modelling)

Articles: 1

Solution

5E (Mathematical Biology)

Articles: 1

Solution

6B (Further Complex Methods)

Articles: 1

Solution

7D (Classical Dynamics)

Articles: 7

a

Articles: 1

Solution

b

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

8C (Cosmology)

Articles: 1

Solution

9G (Coding and Cryptography)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

10J (Statistical Modelling)

Articles: 1

Solution

11B (Further Complex Methods)

Articles: 1

Solution

12C (Cosmology)

Articles: 1

Solution

13I (Logic and Set Theory)

Articles: 1

Solution

14I (Graph Theory)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

15F (Representation Theory)

Articles: 9

a

Articles: 1

Solution

b

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

16H (Number Fields)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

17F (Galois Theory)

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

18H (Algebraic Topology)

Articles: 1

Solution

19G (Linear Analysis)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

20F (Riemann Surfaces)

Articles: 1

Solution

21F (Algebraic Geometry)

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

22G (Differential Geometry)

Articles: 1

Solution

23J (Probability and Measure)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

24K (Applied Probability)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

25J (Principles of Statistics)

Articles: 1

Solution

26K (Stochastic Financial Models)

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

27C (Asymptotic Methods)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

28B (Dynamical Systems)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

29D (Integrable Systems)

Articles: 1

Solution

30E (Partial Differential Equations)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

31A (Principles of Quantum Mechanics)

Articles: 1

Solution

32A (Applications of Quantum Mechanics)

Articles: 1

Solution

33C (Statistical Physics)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

34A (Electrodynamics)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

35D (General Relativity)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

36E (Fluid Dynamics II)

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

37B (Waves)

Articles: 1

Solution

38E (Numerical Analysis)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

 Ancestors (8)