Past exam of the mathematics course of the University of Cambridge / 2004 / ib

Table of contents
- Paper 1 ib
  - 1H Paper 1
    - Solution 1H
  - 2F Paper 1
    - Solution 2F
  - 3G Paper 1
    - Solution 3G
  - 4G Paper 1
    - i 4G
      - Solution i
    - ii 4G
      - Solution ii
    - iii 4G
      - Solution iii
  - 5A Paper 1
    - i 5A
      - Solution i
  - 6B Paper 1
    - Solution 6B
  - 7B Paper 1
    - Solution 7B
  - 8D Paper 1
    - Solution 8D
  - 9C Paper 1
    - Solution 9C
  - 10H Paper 1
    - Solution 10H
  - 11H Paper 1
    - a 11H
      - Solution a
  - 12H Paper 1
    - Solution 12H
  - 13F Paper 1
    - Solution 13F
  - 14G Paper 1
    - Solution 14G
  - 15G Paper 1
    - Solution 15G
  - 16A Paper 1
    - Solution 16A
  - 17B Paper 1
    - Solution 17B
  - 18B Paper 1
    - Solution 18B
  - 19D Paper 1
    - Solution 19D
  - 20C Paper 1
    - Solution 20C
  - 21H Paper 1
    - Solution 21H
  - 22H Paper 1
    - Solution 22H
- Paper 2 ib
  - 1E Paper 2
    - Solution 1E
  - 2F Paper 2
    - Solution 2F
  - 3G Paper 2
    - Solution 3G
  - 4E Paper 2
    - i 4E
      - Solution i
    - ii 4E
      - Solution ii
  - 5A Paper 2
    - Solution 5A
  - 6B Paper 2
    - Solution 6B
  - 7B Paper 2
    - Solution 7B
  - 8D Paper 2
    - Solution 8D
  - 9A Paper 2
    - Solution 9A
  - 10H Paper 2
    - Solution 10H
  - 11H Paper 2
    - Solution 11H
  - 12E Paper 2
    - Solution 12E
  - 13F Paper 2
    - Solution 13F
  - 14G Paper 2
    - Solution 14G
  - 15E Paper 2
    - i 15E
      - Solution i
    - ii 15E
      - Solution ii
  - 16A Paper 2
    - Solution 16A
  - 17B Paper 2
    - Solution 17B
  - 18B Paper 2
    - Solution 18B
  - 19D Paper 2
    - Solution 19D
  - 20A Paper 2
    - Solution 20A
  - 21H Paper 2
    - Solution 21H
  - 22H Paper 2
    - Solution 22H
- Paper 3 ib
  - 1E Paper 3
    - Solution 1E
  - 2F Paper 3
    - Solution 2F
  - 3G Paper 3
    - Solution 3G
  - 4F Paper 3
    - Solution 4F
  - 5E Paper 3
    - Solution 5E
  - 6D Paper 3
    - Solution 6D
  - 7B Paper 3
    - Solution 7B
  - 8B Paper 3
    - Solution 8B
  - 9D Paper 3
    - Solution 9D
  - 10C Paper 3
    - Solution 10C
  - 11A Paper 3
    - Solution 11A
  - 12G Paper 3
    - Solution 12G
  - 13E Paper 3
    - i 13E
      - Solution i
    - ii 13E
      - Solution ii
    - iii 13E
      - Solution iii
  - 14F Paper 3
    - i 14F
      - Solution i
    - ii 14F
      - Solution ii
    - iii 14F
      - Solution iii
    - iv 14F
      - Solution iv
  - 15G Paper 3
    - Solution 15G
  - 16F Paper 3
    - Solution 16F
  - 17E Paper 3
    - i 17E
      - Solution i
    - ii 17E
      - Solution ii
    - iii 17E
      - Solution iii
  - 18D Paper 3
    - Solution 18D
  - 19B Paper 3
    - Solution 19B
  - 20D Paper 3
    - Solution 20D
  - 21C Paper 3
    - Solution 21C
  - 22A Paper 3
    - Solution 22A
  - 23G Paper 3
    - Solution 23G
- Paper 4 ib
  - 1E Paper 4
    - Solution 1E
  - 2F Paper 4
    - i 2F
      - Solution i
    - ii 2F
      - Solution ii
    - iii 2F
      - Solution iii
  - 3F Paper 4
    - Solution 3F
  - 4E Paper 4
    - i 4E
      - Solution i
    - ii 4E
      - Solution ii
    - iii 4E
      - Solution iii
  - 5A Paper 4
    - Solution 5A
  - 6C Paper 4
    - Solution 6C
  - 7D Paper 4
    - Solution 7D
  - 8C Paper 4
    - Solution 8C
  - 9H Paper 4
    - Solution 9H
  - 10G Paper 4
    - Solution 10G
  - 11E Paper 4
    - i 11E
      - Solution i
    - ii 11E
      - Solution ii
    - iii 11E
      - Solution iii
  - 12F Paper 4
    - i 12F
      - Solution i
    - ii 12F
      - Solution ii
    - iii 12F
      - Solution iii
    - iv 12F
      - Solution iv
    - v 12F
      - Solution v
  - 13F Paper 4
    - Solution 13F
  - 14E Paper 4
    - i 14E
      - Solution i
    - ii 14E
      - Solution ii
    - iii 14E
      - Solution iii
  - 15A Paper 4
    - i 15A
      - Solution i
    - ii 15A
      - Solution ii
  - 16C Paper 4
    - Solution 16C
  - 17D Paper 4
    - Solution 17D
  - 18C Paper 4
    - Solution 18C
  - 19H Paper 4
    - i 19H
      - Solution i
    - ii 19H
      - Solution ii
  - 20G Paper 4
    - Solution 20G

Paper 1

www.maths.cam.ac.uk/undergrad/pastpapers/files/2004/PaperIB_1.pdf

1H (Linear Algebra)

Solution

2F (Groups, Rings and Modules)

Solution

3G (Geometry)

Solution

4G (Analysis II)

i

Solution

ii

Solution

iii

Solution

5A (Complex Methods)

i

Solution

6B (Methods)

Solution

7B (Electromagnetism)

Solution

8D (Quantum Mechanics)

Solution

9C (Fluid Dynamics)

Solution

10H (Statistics)

Solution

11H (Markov Chains)

a

Solution

12H (Linear Algebra)

Solution

13F (Groups, Rings and Modules)

Solution

14G (Geometry)

Solution

15G (Analysis II)

Solution

16A (Complex Methods)

Solution

17B (Methods)

Solution

18B (Electromagnetism)

Solution

19D (Quantum Mechanics)

Solution

20C (Fluid Dynamics)

Solution

21H (Statistics)

Solution

22H (Markov Chains)

Solution

Paper 2

www.maths.cam.ac.uk/undergrad/pastpapers/files/2004/PaperIB_2.pdf

1E (Linear Algebra)

Solution

2F (Groups, Rings and Modules)

Solution

3G (Analysis II)

Solution

4E (Further Analysis)

i

Solution

ii

Solution

5A (Complex Methods)

Solution

6B (Methods)

Solution

7B (Electromagnetism)

Solution

8D (Quantum Mechanics)

Solution

9A (Numerical Analysis)

Solution

10H (Statistics)

Solution

11H (Markov Chains)

Solution

12E (Linear Algebra)

Solution

13F (Groups, Rings and Modules)

Solution

14G (Analysis II)

Solution

15E (Further Analysis)

i

Solution

ii

Solution

16A (Complex Methods)

Solution

17B (Methods)

Solution

18B (Electromagnetism)

Solution

19D (Quantum Mechanics)

Solution

20A (Numerical Analysis)

Solution

21H (Statistics)

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