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Past exam of the mathematics course of the University of Cambridge / 2011 / ii / Paper 3

www.maths.cam.ac.uk/undergrad/pastpapers/files/2011/PaperII_3.pdf

Table of contents 176
- 1I Paper 3 4
  - i 1I 1
    - Solution i
  - ii 1I 1
    - Solution ii
- 2F Paper 3 4
  - i 2F 1
    - Solution i
  - ii 2F 1
    - Solution ii
- 3G Paper 3 1
  - Solution 3G
- 4G Paper 3 1
  - Solution 4G
- 5J Paper 3 1
  - Solution 5J
- 6B Paper 3 1
  - Solution 6B
- 7C Paper 3 8
  - i 7C 1
    - Solution i
  - ii 7C 1
    - Solution ii
  - iii 7C 1
    - Solution iii
  - iv 7C 1
    - Solution iv
- 8E Paper 3 1
  - Solution 8E
- 9C Paper 3 1
  - Solution 9C
- 10E Paper 3 4
  - i 10E 1
    - Solution i
  - ii 10E 1
    - Solution ii
- 11I Paper 3 4
  - i 11I 1
    - Solution i
  - ii 11I 1
    - Solution ii
- 12F Paper 3 10
  - i 12F 1
    - Solution i
  - ii 12F 1
    - Solution ii
  - iii 12F 1
    - Solution iii
  - a 12F 1
    - Solution a
  - b 12F 1
    - Solution b
- 13B Paper 3 8
  - i 13B 1
    - Solution i
  - ii 13B 1
    - Solution ii
  - iii 13B 1
    - Solution iii
  - iv 13B 1
    - Solution iv
- 14C Paper 3 8
  - i 14C 1
    - Solution i
  - ii 14C 1
    - Solution ii
  - iii 14C 1
    - Solution iii
  - iv 14C 1
    - Solution iv
- 15E Paper 3 4
  - i 15E 1
    - Solution i
  - ii 15E 1
    - Solution ii
- 16H Paper 3 8
  - i 16H 1
    - Solution i
  - ii 16H 1
    - Solution ii
  - iii 16H 1
    - Solution iii
  - iv 16H 1
    - Solution iv
- 17F Paper 3 1
  - Solution 17F
- 18H Paper 3 6
  - i 18H 1
    - Solution i
  - ii 18H 1
    - Solution ii
  - iii 18H 1
    - Solution iii
- 19I Paper 3 1
  - Solution 19I
- 20H Paper 3 6
  - i 20H 1
    - Solution i
  - ii 20H 1
    - Solution ii
  - iii 20H 1
    - Solution iii
- 21G Paper 3 1
  - Solution 21G
- 22G Paper 3 1
  - Solution 22G
- 23H Paper 3 4
  - i 23H 1
    - Solution i
  - ii 23H 1
    - Solution ii
- 24I Paper 3 1
  - Solution 24I
- 25K Paper 3 8
  - i 25K 1
    - Solution i
  - ii 25K 1
    - Solution ii
  - iii 25K 1
    - Solution iii
  - iv 25K 1
    - Solution iv
- 26J Paper 3 8
  - i 26J 1
    - Solution i
  - ii 26J 1
    - Solution ii
  - iii 26J 1
    - Solution iii
  - iv 26J 1
    - Solution iv
- 27K Paper 3 1
  - Solution 27K
- 28K Paper 3 1
  - Solution 28K
- 29J Paper 3 4
  - i 29J 1
    - Solution i
  - ii 29J 1
    - Solution ii
- 30A Paper 3 4
  - a 30A 1
    - Solution a
  - b 30A 1
    - Solution b
- 31A Paper 3 1
  - Solution 31A
- 32A Paper 3 4
  - i 32A 1
    - Solution i
  - ii 32A 1
    - Solution ii
- 33D Paper 3 6
  - i 33D 1
    - Solution i
  - ii 33D 1
    - Solution ii
  - iii 33D 1
    - Solution iii
- 34E Paper 3 1
  - Solution 34E
- 35D Paper 3 1
  - Solution 35D
- 36C Paper 3 1
  - Solution 36C
- 37B Paper 3 1
  - Solution 37B
- 38B Paper 3 1
  - Solution 38B
- 39A Paper 3 6
  - i 39A 1
    - Solution i
  - ii 39A 1
    - Solution ii
  - iii 39A 1
    - Solution iii

1I (Number Theory)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

2F (Topics in Analysis)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

3G (Geometry and Groups)

Articles: 1

Solution

4G (Coding and Cryptography)

Articles: 1

Solution

5J (Statistical Modelling)

Articles: 1

Solution

6B (Mathematical Biology)

Articles: 1

Solution

7C (Dynamical Systems)

Articles: 8

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

iv

Articles: 1

Solution

8E (Further Complex Methods)

Articles: 1

Solution

9C (Classical Dynamics)

Articles: 1

Solution

10E (Cosmology)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

11I (Number Theory)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

12F (Topics in Analysis)

Articles: 10

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

a

Articles: 1

Solution

b

Articles: 1

Solution

13B (Mathematical Biology)

Articles: 8

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

iv

Articles: 1

Solution

14C (Dynamical Systems)

Articles: 8

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

iv

Articles: 1

Solution

15E (Cosmology)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

16H (Logic and Set Theory)

Articles: 8

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

iv

Articles: 1

Solution

17F (Graph Theory)

Articles: 1

Solution

18H (Galois Theory)

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

19I (Representation Theory)

Articles: 1

Solution

20H (Algebraic Topology)

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

21G (Linear Analysis)

Articles: 1

Solution

22G (Riemann Surfaces)

Articles: 1

Solution

23H (Algebraic Geometry)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

24I (Differential Geometry)

Articles: 1

Solution

25K (Probability and Measure)

Articles: 8

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

iv

Articles: 1

Solution

26J (Applied Probability)

Articles: 8

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

iv

Articles: 1

Solution

27K (Principles of Statistics)

Articles: 1

Solution

28K (Optimization and Control)

Articles: 1

Solution

29J (Stochastic Financial Models)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

30A (Partial Differential Equations)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

31A (Asymptotic Methods)

Articles: 1

Solution

32A (Integrable Systems)

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

33D (Principles of Quantum Mechanics)

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

34E (Applications of Quantum Mechanics)

Articles: 1

Solution

35D (Statistical Physics)

Articles: 1

Solution

36C (Electrodynamics)

Articles: 1

Solution

37B (Fluid Dynamics II)

Articles: 1

Solution

38B (Waves)

Articles: 1

Solution

39A (Numerical Analysis)

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

 Ancestors (8)