Past exam of the mathematics course of the University of Cambridge / 2007 / ia

Table of contents
- Paper 1 ia
  - 1A Paper 1
    - i 1A
      - Solution i
    - ii 1A
      - Solution ii
  - 2B Paper 1
    - i 2B
      - Solution i
    - ii 2B
      - Solution ii
    - iii 2B
      - Solution iii
  - 3F Paper 1
    - Solution 3F
  - 4D Paper 1
    - Solution 4D
  - 5B Paper 1
    - i 5B
      - Solution i
  - 6C Paper 1
    - i 6C
      - Solution i
    - ii 6C
      - Solution ii
    - iii 6C
      - Solution iii
  - 7C Paper 1
    - i 7C
      - Solution i
    - ii 7C
      - Solution ii
  - 8A Paper 1
    - i 8A
      - Solution i
    - ii 8A
      - Solution ii
    - iii 8A
      - Solution iii
  - 9F Paper 1
    - Solution 9F
  - 10E Paper 1
    - i 10E
      - Solution i
    - ii 10E
      - Solution ii
  - 11E Paper 1
    - Solution 11E
  - 12D Paper 1
    - i 12D
      - Solution i
    - ii 12D
      - Solution ii
- Paper 2 ia
  - 1B Paper 2
    - Solution 1B
  - 2B Paper 2
    - i 2B
      - Solution i
    - ii 2B
      - Solution ii
  - 3F Paper 2
    - Solution 3F
  - 4F Paper 2
    - Solution 4F
  - 5B Paper 2
    - i 5B
      - Solution i
    - ii 5B
      - Solution ii
  - 6B Paper 2
    - Solution 6B
  - 7B Paper 2
    - i 7B
      - Solution i
  - 8B Paper 2
    - i 8B
      - Solution i
    - ii 8B
      - Solution ii
  - 9F Paper 2
    - Solution 9F
  - 10F Paper 2
    - Solution 10F
  - 11F Paper 2
    - i 11F
      - Solution i
    - ii 11F
      - Solution ii
    - iii 11F
      - Solution iii
    - iv 11F
      - Solution iv
  - 12F Paper 2
    - Solution 12F
- Paper 3 ia
  - 1D Paper 3
    - Solution 1D
  - 2D Paper 3
    - Solution 2D
  - 3A Paper 3
    - i 3A
      - Solution i
    - ii 3A
      - Solution ii
  - 4A Paper 3
    - Solution 4A
  - 5D Paper 3
    - Solution 5D
  - 6D Paper 3
    - i 6D
      - Solution i
    - ii 6D
      - Solution ii
    - iii 6D
      - Solution iii
    - iv 6D
      - Solution iv
  - 7D Paper 3
    - i 7D
      - Solution i
    - ii 7D
      - Solution ii
    - iii 7D
      - Solution iii
    - iv 7D
      - Solution iv
  - 8D Paper 3
    - Solution 8D
  - 9A Paper 3
    - i 9A
      - Solution i
    - ii 9A
      - Solution ii
  - 10A Paper 3
    - Solution 10A
  - 11A Paper 3
    - i 11A
      - Solution i
    - ii 11A
      - Solution ii
    - iii 11A
      - Solution iii
  - 12A Paper 3
    - Solution 12A
- Paper 4 ia
  - 1E Paper 4
    - i 1E
      - Solution i
    - ii 1E
      - Solution ii
  - 2E Paper 4
    - Solution 2E
  - 3C Paper 4
    - Solution 3C
  - 4C Paper 4
    - Solution 4C
  - 5E Paper 4
    - Solution 5E
  - 6E Paper 4
    - Solution 6E
  - 7E Paper 4
    - Solution 7E
  - 8E Paper 4
    - i 8E
      - Solution i
    - ii 8E
      - Solution ii
  - 9C Paper 4
    - i 9C
      - Solution i
    - ii 9C
      - Solution ii
  - 10C Paper 4
    - i 10C
      - Solution i
    - ii 10C
      - Solution ii
    - iii 10C
      - Solution iii
  - 11C Paper 4
    - Solution 11C
  - 12C Paper 4
    - i 12C
      - Solution i
    - ii 12C
      - Solution ii
    - iii 12C
      - Solution iii
    - iv 12C
      - Solution iv
- Paper 5 ia
  - 1 Paper 5
    - a 1
      - Solution a
    - b 1
      - Solution b
    - c 1
      - Solution c
  - 2 Paper 5
    - a 2
      - Solution a
    - b 2
      - Solution b
    - c 2
      - Solution c
    - d 2
      - Solution d
  - 3 Paper 5
    - a 3
      - Solution a
    - b 3
      - Solution b
    - c 3
      - Solution c
  - 4 Paper 5
    - Solution 4
  - 5 Paper 5
    - a 5
      - i a
        Solution i
      - ii a
        Solution ii
    - b 5
      - Solution b
    - c 5
      - Solution c
  - 6 Paper 5
    - a 6
      - Solution a
    - b 6
      - Solution b
    - c 6
      - Solution c
    - d 6
      - Solution d
  - 7 Paper 5
    - a 7
      - Solution a
    - b 7
      - Solution b
    - c 7
      - Solution c
    - d 7
      - Solution d
  - 8 Paper 5
    - a 8
      - Solution a
    - b 8
      - Solution b
    - c 8
      - i c
        Solution i
      - ii c
        Solution ii
    - d 8
      - Solution d
    - e 8
      - Solution e
  - 9 Paper 5
    - a 9
      - Solution a
    - b 9
      - i b
        Solution i
      - ii b
        Solution ii
  - 10 Paper 5
    - a 10
      - Solution a
    - b 10
      - Solution b
    - c 10
      - Solution c
  - 11 Paper 5
    - Solution 11
  - 12 Paper 5
    - i 12
      - Solution i
    - ii 12
      - Solution ii

Paper 1

www.maths.cam.ac.uk/undergrad/pastpapers/files/2007/PaperIA_1.pdf

1A (Algebra and Geometry)

i

Solution

ii

Solution

2B (Algebra and Geometry)

i

Solution

ii

Solution

iii

Solution

3F (Analysis)

Solution

4D (Analysis)

Solution

5B (Algebra and Geometry)

i

Solution

6C (Algebra and Geometry)

i

Solution

ii

Solution

iii

Solution

7C (Algebra and Geometry)

i

Solution

ii

Solution

8A (Algebra and Geometry)

i

Solution

ii

Solution

iii

Solution

9F (Analysis)

Solution

10E (Analysis)

i

Solution

ii

Solution

11E (Analysis)

Solution

12D (Analysis)

i

Solution

ii

Solution

Paper 2

www.maths.cam.ac.uk/undergrad/pastpapers/files/2007/PaperIA_2.pdf

1B (Differential Equations)

Solution

2B (Differential Equations)

i

Solution

ii

Solution

3F (Probability)

Solution

4F (Probability)

Solution

5B (Differential Equations)

i

Solution

ii

Solution

6B (Differential Equations)

Solution

7B (Differential Equations)

i

Solution

8B (Differential Equations)

i

Solution

ii

Solution

9F (Probability)

Solution

10F (Probability)

Solution

11F (Probability)

i

Solution

ii

Solution

iii

Solution

iv

Solution

12F (Probability)

Solution

Paper 3

www.maths.cam.ac.uk/undergrad/pastpapers/files/2007/PaperIA_3.pdf

1D (Algebra and Geometry)

Solution

2D (Algebra and Geometry)

Solution

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