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Past exam of the mathematics course of the University of Cambridge / 2019 / ib / Paper 3

www.maths.cam.ac.uk/undergrad/pastpapers/files/2019/paperib_3_2019.pdf

Table of contents 99
- 1G Paper 3 1
  - Solution 1G
- 2E Paper 3 9
  - a 2E 1
    - Solution a
  - b 2E 6
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
- 3G Paper 3 4
  - a 3G 1
    - Solution a
  - b 3G 1
    - Solution b
- 4D Paper 3 1
  - Solution 4D
- 5E Paper 3 1
  - Solution 5E
- 6A Paper 3 1
  - Solution 6A
- 7D Paper 3 1
  - Solution 7D
- 8B Paper 3 1
  - Solution 8B
- 9H Paper 3 6
  - a 9H 1
    - Solution a
  - b 9H 1
    - Solution b
  - c 9H 1
    - Solution c
- 10F Paper 3 1
  - Solution 10F
- 11G Paper 3 6
  - a 11G 1
    - Solution a
  - b 11G 1
    - Solution b
  - c 11G 1
    - Solution c
- 12E Paper 3 7
  - a 12E 1
    - Solution a
  - b 12E 4
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
- 13F Paper 3 1
  - Solution 13F
- 14E Paper 3 9
  - a 14E 1
    - Solution a
  - b 14E 4
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
  - c 14E 1
    - Solution c
- 15D Paper 3 1
  - Solution 15D
- 16B Paper 3 1
  - Solution 16B
- 17A Paper 3 1
  - Solution 17A
- 18C Paper 3 1
  - Solution 18C
- 19C Paper 3 8
  - a 19C 1
    - Solution a
  - b 19C 1
    - Solution b
  - c 19C 1
    - Solution c
  - d 19C 1
    - Solution d
- 20H Paper 3 13
  - a 20H 1
    - Solution a
  - b 20H 1
    - Solution b
  - c 20H 6
    - i c 1
      - Solution i
    - ii c 1
      - Solution ii
    - iii c 1
      - Solution iii
  - d 20H 1
    - Solution d
- 21H Paper 3 4
  - a 21H 1
    - Solution a
  - b 21H 1
    - Solution b

1G (Groups, Rings and Modules √ √)

Articles: 1

Solution

2E (Analysis II)

Articles: 9

a

Articles: 1

Solution

b

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

3G (Metric and Topological Spaces)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

4D (Complex Methods)

Articles: 1

Solution

5E (Geometry)

Articles: 1

Solution

6A (Variational Principles)

Articles: 1

Solution

7D (Methods)

Articles: 1

Solution

8B (Quantum Mechanics)

Articles: 1

Solution

9H (Markov Chains)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

10F (Linear Algebra)

Articles: 1

Solution

11G (Groups, Rings √and Modules)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

12E (Analysis II)

Articles: 7

a

Articles: 1

Solution

b

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

13F (Complex Analysis)

Articles: 1

Solution

14E (Geometry)

Articles: 9

a

Articles: 1

Solution

b

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

c

Articles: 1

Solution

15D (Methods)

Articles: 1

Solution

16B (Quantum Mechanics)

Articles: 1

Solution

17A (Electromagnetism)

Articles: 1

Solution

18C (Fluid Dynamics)

Articles: 1

Solution

19C (Numerical Analysis)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

20H (Statistics)

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

21H (Optimisation)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

 Ancestors (8)