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Past exam of the mathematics course of the University of Cambridge / 2018 / ii / Paper 2

www.maths.cam.ac.uk/undergrad/pastpapers/files/2018/paperii_2_2018.pdf

Table of contents 207
- 1G Paper 2 1
  - Solution 1G
- 2F Paper 2 2
  - b 2F 1
    - Solution b
- 3H Paper 2 1
  - Solution 3H
- 4G Paper 2 6
  - a 4G 1
    - Solution a
  - b 4G 1
    - Solution b
  - c 4G 1
    - Solution c
- 5J Paper 2 1
  - Solution 5J
- 6C Paper 2 1
  - Solution 6C
- 7B Paper 2 1
  - Solution 7B
- 8B Paper 2 1
  - Solution 8B
- 9B Paper 2 4
  - a 9B 1
    - Solution a
  - b 9B 1
    - Solution b
- 10D Paper 2 4
  - a 10D 1
    - Solution a
  - b 10D 1
    - Solution b
- 11F Paper 2 15
  - a 11F 1
    - Solution a
  - b 11F 10
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
    - iv b 1
      - Solution iv
    - v b 1
      - Solution v
  - r 11F 1
    - Solution r
- 12H Paper 2 1
  - Solution 12H
- 13B Paper 2 9
  - a 13B 1
    - Solution a
  - b 13B 6
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
- 14B Paper 2 1
  - Solution 14B
- 15D Paper 2 4
  - a 15D 1
    - Solution a
  - b 15D 1
    - Solution b
- 16G Paper 2 1
  - Solution 16G
- 17I Paper 2 1
  - Solution 17I
- 18I Paper 2 1
  - Solution 18I
- 19I Paper 2 11
  - a 19I 1
    - Solution a
  - b 19I 6
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
  - c 19I 1
    - Solution c
- 20G Paper 2 6
  - a 20G 1
    - Solution a
  - b 20G 1
    - Solution b
  - c 20G 1
    - Solution c
- 21H Paper 2 10
  - a 21H 1
    - Solution a
  - b 21H 1
    - Solution b
  - c 21H 1
    - Solution c
  - d 21H 1
    - Solution d
  - e 21H 1
    - Solution e
- 22F Paper 2 6
  - a 22F 1
    - Solution a
  - b 22F 1
    - Solution b
  - c 22F 1
    - Solution c
- 23F Paper 2 1
  - Solution 23F
- 24I Paper 2 4
  - a 24I 1
    - Solution a
  - b 24I 1
    - Solution b
- 25I Paper 2 8
  - a 25I 1
    - Solution a
  - b 25I 1
    - Solution b
  - c 25I 1
    - Solution c
  - d 25I 1
    - Solution d
- 26J Paper 2 8
  - a 26J 1
    - Solution a
  - b 26J 1
    - Solution b
  - c 26J 1
    - Solution c
  - d 26J 1
    - Solution d
- 27J Paper 2 1
  - Solution 27J
- 28K Paper 2 8
  - a 28K 1
    - Solution a
  - b 28K 1
    - Solution b
  - c 28K 1
    - Solution c
  - d 28K 1
    - Solution d
- 29K Paper 2 4
  - a 29K 1
    - Solution a
  - b 29K 1
    - Solution b
- 30K Paper 2 4
  - a 30K 1
    - Solution a
  - b 30K 1
    - Solution b
- 31B Paper 2 1
  - Solution 31B
- 32E Paper 2 1
  - Solution 32E
- 33A Paper 2 7
  - a 33A 1
    - Solution a
  - b 33A 4
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
- 34D Paper 2 1
  - Solution 34D
- 35A Paper 2 1
  - Solution 35A
- 36A Paper 2 9
  - a 36A 1
    - Solution a
  - b 36A 6
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
- 37E Paper 2 11
  - a 37E 1
    - Solution a
  - b 37E 1
    - Solution b
  - c 37E 6
    - i c 1
      - Solution i
    - ii c 1
      - Solution ii
    - iii c 1
      - Solution iii
- 38C Paper 2 1
  - Solution 38C
- 39C Paper 2 1
  - Solution 39C
- 40E Paper 2 8
  - a 40E 1
    - Solution a
  - b 40E 1
    - Solution b
  - c 40E 1
    - Solution c
  - d 40E 1
    - Solution d

1G (Number Theory)

Articles: 1

Solution

2F (Topics in Analysis)

Articles: 2

b

Articles: 1

Solution

3H (Coding & Cryptography)

Articles: 1

Solution

4G (Automata and Formal Languages)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

5J (Statistical Modelling)

Articles: 1

Solution

6C (Mathematical Biology)

Articles: 1

Solution

7B (Further Complex Methods)

Articles: 1

Solution

8B (Classical Dynamics)

Articles: 1

Solution

9B (Cosmology)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

10D (Quantum Information and Computation)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

11F (Topics in Analysis)

Articles: 15

a

Articles: 1

Solution

b

Articles: 10

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

iv

Articles: 1

Solution

v

Articles: 1

Solution

r

Articles: 1

Solution

12H (Coding & Cryptography)

Articles: 1

Solution

13B (Further Complex Methods)

Articles: 9

a

Articles: 1

Solution

b

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

14B (Classical Dynamics)

Articles: 1

Solution

15D (Quantum Information and Computation)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

16G (Logic and Set Theory)

Articles: 1

Solution

17I (Graph Theory)

Articles: 1

Solution

18I (Galois Theory)

Articles: 1

Solution

19I (Representation Theory)

Articles: 11

a

Articles: 1

Solution

b

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

c

Articles: 1

Solution

20G (Number Fields)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

21H (Algebraic Topology)

Articles: 10

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

e

Articles: 1

Solution

22F (Linear Analysis)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

23F (Riemann Surfaces)

Articles: 1

Solution

24I (Algebraic Geometry)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

25I (Differential Geometry)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

26J (Probability and Measure)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

27J (Applied Probability)

Articles: 1

Solution

28K (Principles of Statistics)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

29K (Stochastic Financial Models)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

30K (Optimisation and Control)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

31B (Asymptotic Methods)

Articles: 1

Solution

32E (Dynamical Systems)

Articles: 1

Solution

33A (Integrable Systems)

Articles: 7

a

Articles: 1

Solution

b

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

34D (Principles of Quantum Mechanics)

Articles: 1

Solution

35A (Applications of Quantum Mechanics)

Articles: 1

Solution

36A (Statistical Physics)

Articles: 9

a

Articles: 1

Solution

b

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

37E (General Relativity)

Articles: 11

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

38C (Fluid Dynamics II)

Articles: 1

Solution

39C (Waves)

Articles: 1

Solution

40E (Numerical Analysis)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

 Ancestors (8)