Past exam of the mathematics course of the University of Cambridge / 2005 / ib / Paper 4

www.maths.cam.ac.uk/undergrad/pastpapers/files/2005/PaperIB_4.pdf

1B (Linear Algebra)

Solution

2C (Groups, Rings and Modules)

Solution

3B (Analysis II)

Solution

4A (Complex Analysis)

a

Solution

b

Solution

c

Solution

5H (Methods)

Solution

6G (Quantum Mechanics)

Solution

7H (Electromagnetism)

Solution

8F (Numerical Analysis)

Solution

9D (Markov Chains)

Solution

10B (Linear Algebra)

i

Solution

ii

Solution

11C (Groups, Rings and Modules)

Solution

12A (Geometry)

Solution

13B (Analysis II)

Solution

14A (Metric and Topological Spaces)

Solution

15F (Complex Methods)

Solution

16H (Methods)

Solution

17G (Special Relativity)

Solution

18E (Fluid Dynamics)

Solution

19D (Statistics)

i

Solution

ii

Solution

iii

Solution

iv

Solution

20D (Optimization)

Solution

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