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Past exam of the mathematics course of the University of Cambridge / 2018 / ii / Paper 1

www.maths.cam.ac.uk/undergrad/pastpapers/files/2018/paperii_1_2018.pdf

Table of contents 233
- 1G Paper 1 4
  - a 1G 1
    - Solution a
  - b 1G 1
    - Solution b
- 2F Paper 1 1
  - Solution 2F
- 3H Paper 1 1
  - Solution 3H
- 4G Paper 1 11
  - a 4G 1
    - Solution a
  - b 4G 6
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
  - c 4G 1
    - Solution c
- 5J Paper 1 1
  - Solution 5J
- 6C Paper 1 6
  - a 6C 1
    - Solution a
  - b 6C 1
    - Solution b
  - c 6C 1
    - Solution c
- 7B Paper 1 4
  - a 7B 1
    - Solution a
  - b 7B 1
    - Solution b
- 8B Paper 1 1
  - Solution 8B
- 9B Paper 1 1
  - Solution 9B
- 10D Paper 1 4
  - a 10D 1
    - Solution a
  - b 10D 1
    - Solution b
- 11H Paper 1 1
  - Solution 11H
- 12G Paper 1 13
  - a 12G 1
    - Solution a
  - b 12G 1
    - Solution b
  - c 12G 1
    - Solution c
  - d 12G 6
    - i d 1
      - Solution i
    - ii d 1
      - Solution ii
    - iii d 1
      - Solution iii
- 13J Paper 1 6
  - a 13J 1
    - Solution a
  - b 13J 1
    - Solution b
  - c 13J 1
    - Solution c
- 14B Paper 1 6
  - a 14B 1
    - Solution a
  - b 14B 1
    - Solution b
  - c 14B 1
    - Solution c
- 15B Paper 1 8
  - a 15B 1
    - Solution a
  - b 15B 1
    - Solution b
  - c 15B 1
    - Solution c
  - d 15B 1
    - Solution d
- 16G Paper 1 1
  - Solution 16G
- 17I Paper 1 6
  - a 17I 1
    - Solution a
  - b 17I 1
    - Solution b
  - c 17I 1
    - Solution c
- 18I Paper 1 1
  - Solution 18I
- 19I Paper 1 9
  - a 19I 1
    - Solution a
  - b 19I 6
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
- 20G Paper 1 4
  - a 20G 1
    - Solution a
  - b 20G 1
    - Solution b
- 21H Paper 1 8
  - a 21H 1
    - Solution a
  - b 21H 1
    - Solution b
  - c 21H 1
    - Solution c
  - d 21H 1
    - Solution d
- 22F Paper 1 6
  - a 22F 1
    - Solution a
  - b 22F 1
    - Solution b
  - c 22F 1
    - Solution c
- 23F Paper 1 6
  - a 23F 1
    - Solution a
  - b 23F 1
    - Solution b
  - c 23F 1
    - Solution c
- 24F Paper 1 1
  - Solution 24F
- 25I Paper 1 6
  - a 25I 1
    - Solution a
  - b 25I 1
    - Solution b
  - c 25I 1
    - Solution c
- 26I Paper 1 8
  - a 26I 1
    - Solution a
  - b 26I 1
    - Solution b
  - c 26I 1
    - Solution c
  - d 26I 1
    - Solution d
- 27J Paper 1 11
  - a 27J 1
    - Solution a
  - b 27J 1
    - Solution b
  - c 27J 1
    - Solution c
  - d 27J 4
    - i d 1
      - Solution i
    - ii d 1
      - Solution ii
- 28J Paper 1 1
  - Solution 28J
- 29K Paper 1 6
  - a 29K 1
    - Solution a
  - b 29K 1
    - Solution b
  - c 29K 1
    - Solution c
- 30K Paper 1 11
  - a 30K 1
    - Solution a
  - b 30K 1
    - Solution b
  - c 30K 1
    - Solution c
  - d 30K 4
    - i d 1
      - Solution i
    - ii d 1
      - Solution ii
- 31E Paper 1 6
  - a 31E 1
    - Solution a
  - b 31E 1
    - Solution b
  - c 31E 1
    - Solution c
- 32A Paper 1 10
  - a 32A 1
    - Solution a
  - b 32A 1
    - Solution b
  - c 32A 1
    - Solution c
  - d 32A 1
    - Solution d
  - e 32A 1
    - Solution e
- 33D Paper 1 1
  - Solution 33D
- 34A Paper 1 1
  - Solution 34A
- 35A Paper 1 7
  - a 35A 1
    - Solution a
  - b 35A 4
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
- 36D Paper 1 1
  - Solution 36D
- 37E Paper 1 8
  - a 37E 1
    - Solution a
  - b 37E 1
    - Solution b
  - c 37E 1
    - Solution c
  - d 37E 1
    - Solution d
- 38C Paper 1 1
  - Solution 38C
- 39C Paper 1 1
  - Solution 39C
- 40E Paper 1 4
  - a 40E 1
    - Solution a
  - b 40E 1
    - Solution b

1G (Number Theory)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

2F (Topics in Analysis)

Articles: 1

Solution

3H (Coding & Cryptography)

Articles: 1

Solution

4G (Automata and Formal Languages)

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

5J (Statistical Modelling)

Articles: 1

Solution

6C (Mathematical Biology)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

7B (Further Complex Methods)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

8B (Classical Dynamics)

Articles: 1

Solution

9B (Cosmology)

Articles: 1

Solution

10D (Quantum Information and Computation)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

11H (Coding & Cryptography)

Articles: 1

Solution

12G (Automata and Formal Languages)

Articles: 13

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

13J (Statistical Modelling)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

14B (Further Complex Methods)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

15B (Cosmology)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

16G (Logic and Set Theory)

Articles: 1

Solution

17I (Graph Theory)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

18I (Galois Theory)

Articles: 1

Solution

19I (Representation Theory)

Articles: 9

a

Articles: 1

Solution

b

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

20G (Number Fields)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

21H (Algebraic Topology)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

22F (Linear Analysis)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

23F (Analysis of Functions)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

24F (Riemann Surfaces)

Articles: 1

Solution

25I (Algebraic Geometry)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

26I (Differential Geometry)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

27J (Probability and Measure)

Articles: 11

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

28J (Applied Probability)

Articles: 1

Solution

29K (Principles of Statistics)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

30K (Stochastic Financial Models)

Articles: 11

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

31E (Dynamical Systems)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

32A (Integrable Systems)

Articles: 10

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

e

Articles: 1

Solution

33D (Principles of Quantum Mechanics)

Articles: 1

Solution

34A (Applications of Quantum Mechanics)

Articles: 1

Solution

35A (Statistical Physics)

Articles: 7

a

Articles: 1

Solution

b

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

36D (Electrodynamics)

Articles: 1

Solution

37E (General Relativity)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

38C (Fluid Dynamics II)

Articles: 1

Solution

39C (Waves)

Articles: 1

Solution

40E (Numerical Analysis)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

 Ancestors (8)