Past exam of the mathematics course of the University of Cambridge / 2003 / ib

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

Paper 1

www.maths.cam.ac.uk/undergrad/pastpapers/files/2003/PaperIB_1.pdf

1F (Analysis II)

i

Solution

ii

Solution

iii

Solution

2D (Methods)

Solution

3H (Statistics)

Solution

4F (Geometry)

Solution

5E (Linear Mathematics)

Solution

6C (Fluid Dynamics)

Solution

7B (Complex Methods)

Solution

8G (Quadratic Mathematics)

Solution

9A (Quantum Mechanics)

Solution

10F (Analysis II)

Solution

11D (Methods)

a

Solution

b

Solution

12H (Statistics)

Solution

13F (Geometry)

Solution

14E (Linear Mathematics)

a

Solution

b

Solution

c

Solution

d

Solution

15C (Fluid Dynamics)

Solution

16B (Complex Methods)

Solution

17G (Quadratic Mathematics)

a

Solution

b

Solution

c

Solution

d

Solution

18A (Quantum Mechanics)

Solution

Paper 2

www.maths.cam.ac.uk/undergrad/pastpapers/files/2003/PaperIB_2.pdf

1F (Analysis II)

Solution

2C (Methods)

Solution

3H (Statistics)

Solution

4E (Further Analysis)

i

Solution

ii

Solution

5B (Numerical Analysis)

Solution

6E (Linear Mathematics)

Solution

7B (Complex Methods)

a

Solution

b

Solution

8G (Quadratic Mathematics)

Solution

9A (Quantum Mechanics)

Solution

10F (Analysis II)

Solution

11C (Methods)

Solution

12H (Statistics)

Solution

13E (Further Analysis)

a

Solution

b

Solution

14B (Numerical Analysis)

a

Solution

b

Solution

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