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Past exam of the mathematics course of the University of Cambridge / 2016 / ib / Paper 1

www.maths.cam.ac.uk/undergrad/pastpapers/files/2016/paperib_1.pdf

Table of contents 142
- 1F Paper 1 4
  - a 1F 1
    - Solution a
  - b 1F 1
    - Solution b
- 2A Paper 1 1
  - Solution 2A
- 3F Paper 1 8
  - a 3F 1
    - Solution a
  - b 3F 1
    - Solution b
  - c 3F 1
    - Solution c
  - d 3F 1
    - Solution d
- 4C Paper 1 4
  - a 4C 1
    - Solution a
  - b 4C 1
    - Solution b
- 5C Paper 1 4
  - a 5C 1
    - Solution a
  - b 5C 1
    - Solution b
- 6D Paper 1 4
  - a 6D 1
    - Solution a
  - b 6D 1
    - Solution b
- 7H Paper 1 1
  - Solution 7H
- 8H Paper 1 1
  - Solution 8H
- 9F Paper 1 8
  - a 9F 1
    - Solution a
  - b 9F 1
    - Solution b
  - c 9F 1
    - Solution c
  - d 9F 1
    - Solution d
- 10E Paper 1 6
  - a 10E 1
    - Solution a
  - b 10E 1
    - Solution b
  - c 10E 1
    - Solution c
- 11G Paper 1 15
  - a 11G 1
    - Solution a
  - b 11G 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
  - c 11G 1
    - Solution c
- 12E Paper 1 1
  - Solution 12E
- 13A Paper 1 6
  - a 13A 1
    - Solution a
  - b 13A 1
    - Solution b
  - c 13A 1
    - Solution c
- 14A Paper 1 9
  - a 14A 1
    - Solution a
  - b 14A 6
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
- 15B Paper 1 7
  - a 15B 4
    - i a 1
      - Solution i
    - ii a 1
      - Solution ii
  - b 15B 1
    - Solution b
- 16D Paper 1 12
  - a 16D 1
    - Solution a
  - b 16D 1
    - Solution b
  - c 16D 1
    - Solution c
  - d 16D 1
    - Solution d
  - e 16D 1
    - Solution e
  - f 16D 1
    - Solution f
- 17C Paper 1 11
  - a 17C 1
    - Solution a
  - b 17C 1
    - Solution b
  - c 17C 6
    - i c 1
      - Solution i
    - ii c 1
      - Solution ii
    - iii c 1
      - Solution iii
- 18D Paper 1 8
  - a 18D 1
    - Solution a
  - b 18D 1
    - Solution b
  - c 18D 1
    - Solution c
  - d 18D 1
    - Solution d
- 19H Paper 1 6
  - a 19H 1
    - Solution a
  - b 19H 1
    - Solution b
  - c 19H 1
    - Solution c
- 20H Paper 1 6
  - a 20H 1
    - Solution a
  - b 20H 1
    - Solution b
  - c 20H 1
    - Solution c

1F (Linear Algebra)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

2A (Complex Analysis or Complex Methods)

Articles: 1

Solution

3F (Geometry)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

4C (Variational Principles)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

5C (Fluid Dynamics)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

6D (Numerical Analysis)

Articles: 4

a

Articles: 1

Solution

b

Articles: 1

Solution

7H (Statistics)

Articles: 1

Solution

8H (Optimization)

Articles: 1

Solution

9F (Linear Algebra)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

10E (Groups, Rings and Modules)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

11G (Analysis II)

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

c

Articles: 1

Solution

12E (Metric and Topological Spaces)

Articles: 1

Solution

13A (Complex Analysis or Complex Methods)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

14A (Methods)

Articles: 9

a

Articles: 1

Solution

b

Articles: 6

i

Articles: 1

Solution

ii

Articles: 1

Solution

iii

Articles: 1

Solution

15B (Quantum Mechanics)

Articles: 7

a

Articles: 4

i

Articles: 1

Solution

ii

Articles: 1

Solution

b

Articles: 1

Solution

16D (Electromagnetism)

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

17C (Fluid Dynamics)

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

18D (Numerical Analysis)

Articles: 8

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

d

Articles: 1

Solution

19H (Statistics)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

20H (Markov Chains)

Articles: 6

a

Articles: 1

Solution

b

Articles: 1

Solution

c

Articles: 1

Solution

 Ancestors (8)