Past exam of the mathematics course of the University of Cambridge / 2009 / ib

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

Paper 1

www.maths.cam.ac.uk/undergrad/pastpapers/files/2009/PaperIB_1.pdf

1G (Linear Algebra)

2G (Geometry)

Solution

3D (Complex Analysis or Complex Methods)

Solution

4C (Special Relativity)

Solution

5D (Fluid Dynamics)

Solution

6C (Numerical Analysis)

Solution

7H (Statistics)

Solution

8H (Optimization)

Solution

9G (Linear Algebra)

Solution

10F (Groups, Rings and Modules)

Solution

11E (Analysis II)

Solution

12F (Metric and Topological Spaces)

i

Solution

ii

Solution

iii

Solution

13D (Complex Analysis or Complex Methods)

Solution

14B (Mathematical Methods)

Solution

15B (Quantum Mechanics)

Solution

16A (Electromagnetism)

a

Solution

b

Solution

c

Solution

17D (Fluid Dynamics)

i

Solution

ii

Solution

iii

Solution

18H (Statistics)

Solution

19H (Markov Chains)

Solution

Paper 2

www.maths.cam.ac.uk/undergrad/pastpapers/files/2009/PaperIB_2.pdf

1G (Linear Algebra)

Solution

2F (Groups, Rings and Modules)

Solution

3E (Analysis II)

Solution

4F (Metric and Topological Spaces)

Solution

5B (Mathematical Methods)

Solution

6A (Electromagnetism)

a

Solution

b

Solution

7C (Special Relativity)

Solution

8D (Fluid Dynamics)

Solution

9H (Optimization)

Solution

10G (Linear Algebra)

Solution

11F (Groups, Rings and Modules)

Solution

12G (Geometry)

i

Solution

ii

Solution

13E (Analysis II)

Solution

14D (Complex Analysis or Complex Methods)

i

Solution

ii

Solution

15B (Mathematical Methods)

Solution

16B (Quantum Mechanics)

Solution

17A (Electromagnetism)

Solution

18C (Numerical Analysis)

Solution

19H (Statistics)

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