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# Maths C3 Coursework watch

1. I'm currently self-teaching myself mei maths a level. I was wondering if anyone could help with the coursework for C3. I just need some ideas of formulas I could use to base my work on? I've been told that often teachers give their students a list of formulas to choose from, so hopefully this isn't breaking any rules?
Thanks!
2. I think we need to know more.
3. I have been told to select 3 different equations, here is what I have to do:

TASK: Candidates will investigate the solution of equations using the following three methods.
(i) Systematic search for change of sign using one of the methods: bisection, decimal search, linear interpolation.
(ii) Fixed point iteration using the Newton-Raphson method.
(iii) Fixed point iteration after rearranging the equation f(x) = 0 into the form x = g(x).

Students should avoid trivial equations both when solving them, and when demonstrating failure.
4. x=sin x might be ok for a start.

This has been discussed here before. Try searching for the old thread and you might find something useful.
5. Well, the C3 coursework is quite tricky. I'd recommend getting a maths program like autograph to help. As it is impossible to draw the graphs by hand!
There are 3 methods you need to use to work out the graphs:
1. change of sign - decimal search. find one root
2. Newton-Raphson iteration. equation must have at least 2 roots and all must be solved
3. fixed point iteration - one root to be found
The graphs have to be different for each method and unsolvable numerically.

1. basically you are searching for the area of the graph where the graph crosses the x axis. Use a range of x values and solve f(x) for each of them. e.g. say that the change in sign occurs between x=a and x=b. root lies between a and b. increase range to 1 dp between a and b. do this until you get the answer to 4 significant figures
2. based on iteration: x(subscript: n+1) = x(subscript: n) - (f(x(subscript:n) over the differential of f(x)) when n=1,2,3,4... when the inital approximation is x (subscript:0)
3. rearrange y=f(x) into x=g(x)

6. Thanks, I've been searching through old threads but still cant find any equations I can use! And I thought the exam was supposed to be the hard part!
7. So if anyone can give any examples of equations they were given to use in their coursework that would be great thanks

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