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Past exam of the mathematics course of the University of Cambridge / 2018 / ii / Paper 3

www.maths.cam.ac.uk/undergrad/pastpapers/files/2018/paperii_3_2018.pdf

Table of contents 245
- 1G Paper 3 1
  - Solution 1G
- 2F Paper 3 1
  - Solution 2F
- 3H Paper 3 1
  - Solution 3H
- 4G Paper 3 6
  - a 4G 1
    - Solution a
  - b 4G 1
    - Solution b
  - c 4G 1
    - Solution c
- 5J Paper 3 1
  - Solution 5J
- 6C Paper 3 1
  - Solution 6C
- 7B Paper 3 1
  - Solution 7B
- 8B Paper 3 1
  - Solution 8B
- 9B Paper 3 4
  - a 9B 1
    - Solution a
  - b 9B 1
    - Solution b
- 10D Paper 3 7
  - a 10D 1
    - Solution a
  - b 10D 4
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
- 11G Paper 3 1
  - Solution 11G
- 12G Paper 3 7
  - a 12G 1
    - Solution a
  - b 12G 4
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
- 13C Paper 3 12
  - a 13C 1
    - Solution a
  - b 13C 1
    - Solution b
  - c 13C 1
    - Solution c
  - d 13C 1
    - Solution d
  - e 13C 1
    - Solution e
  - f 13C 1
    - Solution f
- 14B Paper 3 8
  - a 14B 1
    - Solution a
  - b 14B 1
    - Solution b
  - c 14B 1
    - Solution c
  - d 14B 1
    - Solution d
- 15D Paper 3 11
  - a 15D 1
    - Solution a
  - b 15D 8
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
    - iv b 1
      - Solution iv
- 16G Paper 3 8
  - i 16G 1
    - Solution i
  - ii 16G 1
    - Solution ii
  - iii 16G 1
    - Solution iii
  - iv 16G 1
    - Solution iv
- 17I Paper 3 1
  - Solution 17I
- 18I Paper 3 7
  - a 18I 1
    - Solution a
  - b 18I 4
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
- 19I Paper 3 8
  - i 19I 1
    - Solution i
  - ii 19I 1
    - Solution ii
  - iii 19I 1
    - Solution iii
  - iv 19I 1
    - Solution iv
- 20H Paper 3 6
  - a 20H 1
    - Solution a
  - b 20H 1
    - Solution b
  - c 20H 1
    - Solution c
- 21F Paper 3 6
  - a 21F 1
    - Solution a
  - b 21F 1
    - Solution b
  - c 21F 1
    - Solution c
- 22F Paper 3 9
  - a 22F 1
    - Solution a
  - b 22F 1
    - Solution b
  - c 22F 4
    - i c 1
      - Solution i
    - ii c 1
      - Solution ii
- 23F Paper 3 1
  - Solution 23F
- 24I Paper 3 6
  - a 24I 1
    - Solution a
  - b 24I 1
    - Solution b
  - c 24I 1
    - Solution c
- 25I Paper 3 6
  - a 25I 1
    - Solution a
  - b 25I 1
    - Solution b
  - c 25I 1
    - Solution c
- 26J Paper 3 14
  - a 26J 1
    - Solution a
  - b 26J 1
    - Solution b
  - c 26J 1
    - Solution c
  - d 26J 1
    - Solution d
  - e 26J 1
    - Solution e
  - f 26J 1
    - Solution f
  - g 26J 1
    - Solution g
- 27J Paper 3 1
  - Solution 27J
- 28K Paper 3 6
  - a 28K 1
    - Solution a
  - b 28K 1
    - Solution b
  - c 28K 1
    - Solution c
- 29K Paper 3 13
  - a 29K 1
    - Solution a
  - b 29K 1
    - Solution b
  - c 29K 6
    - i c 1
      - Solution i
    - ii c 1
      - Solution ii
    - iii c 1
      - Solution iii
  - d 29K 1
    - Solution d
- 30K Paper 3 6
  - a 30K 1
    - Solution a
  - b 30K 1
    - Solution b
  - c 30K 1
    - Solution c
- 31B Paper 3 4
  - a 31B 1
    - Solution a
  - b 31B 1
    - Solution b
- 32E Paper 3 1
  - Solution 32E
- 33A Paper 3 8
  - a 33A 1
    - Solution a
  - b 33A 1
    - Solution b
  - c 33A 1
    - Solution c
  - d 33A 1
    - Solution d
- 34D Paper 3 1
  - Solution 34D
- 35A Paper 3 1
  - Solution 35A
- 36A Paper 3 13
  - a 36A 1
    - Solution a
  - b 36A 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
- 37D Paper 3 1
  - Solution 37D
- 38E Paper 3 6
  - a 38E 1
    - Solution a
  - b 38E 1
    - Solution b
  - c 38E 1
    - Solution c
- 39C Paper 3 1
  - Solution 39C
- 40C Paper 3 1
  - Solution 40C
- 41E Paper 3 6
  - a 41E 1
    - Solution a
  - b 41E 1
    - Solution b
  - c 41E 1
    - Solution c

1G (Number Theory)

Articles: 1

Solution

2F (Topics in Analysis)

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: 7

a

Articles: 1

Solution

b

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

11G (Number Theory)

Articles: 1

Solution

12G (Automata and Formal Languages)

Articles: 7

a

Articles: 1

Solution

b

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

13C (Mathematical Biology)

Articles: 12

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

e

Articles: 1

Solution

f

Articles: 1

Solution

14B (Cosmology)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

15D (Quantum Information and Computation)

Articles: 11

a

Articles: 1

Solution

b

Articles: 8

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

iv

Articles: 1

Solution

16G (Logic and Set Theory)

Articles: 8

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

iv

Articles: 1

Solution

17I (Graph Theory)

Articles: 1

Solution

18I (Galois Theory)

Articles: 7

a

Articles: 1

Solution

b

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

19I (Representation Theory)

Articles: 8

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

iv

Articles: 1

Solution

20H (Algebraic Topology)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

21F (Linear Analysis)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

22F (Analysis of Functions)

Articles: 9

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

23F (Riemann Surfaces)

Articles: 1

Solution

24I (Algebraic Geometry)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

25I (Differential Geometry)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

26J (Probability and Measure)

Articles: 14

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

e

Articles: 1

Solution

f

Articles: 1

Solution

g

Articles: 1

Solution

27J (Applied Probability)

Articles: 1

Solution

28K (Principles of Statistics)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

29K (Stochastic Financial Models)

Articles: 13

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

d

Articles: 1

Solution

30K (Optimisation and Control)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

31B (Asymptotic Methods)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

32E (Dynamical Systems)

Articles: 1

Solution

33A (Integrable Systems)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

34D (Principles of Quantum Mechanics)

Articles: 1

Solution

35A (Applications of Quantum Mechanics)

Articles: 1

Solution

36A (Statistical Physics)

Articles: 13

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

37D (Electrodynamics)

Articles: 1

Solution

38E (General Relativity)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

39C (Fluid Dynamics II)

Articles: 1

Solution

40C (Waves)

Articles: 1

Solution

41E (Numerical Analysis)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

 Ancestors (8)