Past exam of the mathematics course of the University of Cambridge / 2006 / ib

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

Paper 1

www.maths.cam.ac.uk/undergrad/pastpapers/files/2006/PaperIB_1.pdf

1H (Linear Algebra)

Solution

2H (Geometry)

Solution

3D (Complex Analysis or Complex Methods)

Solution

4B (Special Relativity)

Solution

5A (Fluid Dynamics)

Solution

6D (Numerical Analysis)

a

Solution

b

Solution

7C (Statistics)

Solution

8C (Optimization)

Solution

9H (Linear Algebra)

Solution

10E (Groups, Rings and Modules)

Solution

11F (Analysis II)

Solution

12F (Metric and Topological Spaces)

i

Solution

ii

Solution

13D (Complex Analysis or Complex Methods)

Solution

14A (Methods)

Solution

15B (Quantum Mechanics)

Solution

16G (Electromagnetism)

Solution

17A (Fluid Dynamics)

Solution

18C (Statistics)

Solution

19C (Markov Chains)

Solution

Paper 2

www.maths.cam.ac.uk/undergrad/pastpapers/files/2006/PaperIB_2.pdf

1E (Linear Algebra)

Solution

2E (Groups, Rings and Modules)

i

Solution

ii

Solution

iii

Solution

3F (Analysis II)

i

Solution

ii

Solution

4F (Metric and Topological Spaces)

i

Solution

ii

Solution

iii

Solution

5A (Methods)

Solution

6G (Electromagnetism)

Solution

7B (Special Relativity)

Solution

8A (Fluid Dynamics)

Solution

9C (Optimization)

Solution

10E (Linear Algebra)

Solution

11E (Groups, Rings and Modules)

i

Solution

ii

Solution

iii

Solution

12H (Geometry)

Solution

13F (Analysis II)

Solution

14D (Complex Analysis or Complex Methods)

Solution

15G (Methods)

Solution

16B (Quantum Mechanics)

Solution

17G (Electromagnetism)

Solution

18D (Numerical Analysis)

a

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