Do you already have an account? The scale that will be used is whatever you used for the previous graph, and may be totally unsuitable. From the graph above, you can see that there are three roots in the interval considered, together with their approximate positions. Thanks for that Calum. A different equation must be used for each method.
Your coursework uses three methods and ideally you should choose equations where the associated graph is going to cross the x-axis 2 or 3 times. Continue by pressing ‘Next’ until you are ready to ‘Finish’ This gives you the shape of the curve, but is not as good as ‘Autograph’ for the detail you need to include with the coursework. Val Hanrahan The coursework rationale is: They feel comfortable with polynomial graphs, having sketched them without calculators in C1, and are able to differentiate polynomial functions for those methods that require this. All curves are now drawn in slow motion.
Also, from the shape of the curve it looks as if there will only be these three roots. This frequently led to less than satisfactory coursework, since they lost track of what they were supposed to be doing.
This automatically wrror you to the next line. No, create an account now. Why do I focus on polynomial equations? For the root in You may also return to the default axes you started off with the button just to the left of the degrees button. The method is illustrated graphically for errror root. In general, equations with no roots should not be used as examples of failure. Add to collection s Add to saved. Adding a second equation to the list will graph that equation on the same axes as the first.
Surely that covers all the possible values in my range?
Domain Change of sign method 3 Mark Description 1 The method is applied successfully to find one root of an equation. It is not sufficient to do rrror general illustration. Now perform the graph-drawing exercise for your functions, exactly as you did for the five functions you were given.
C3 COURSEWORK – comparing methods of solving functions
Where analytical methods are possible, they are preferable because they give an exact solution. It therefore emphasises just how quickly this method converges Appendix 3 for starting instructions.
Similarly, quartics crossing the x-axis at two integer values are excluded. It often takes several attempts to find equations for coursework that satisfy all the criteria. Cousework select a second curve, you must first hold down boundz SHIFT key on the keyboard, and then repeat the above. These numbers are not on the calculator axes, so it is best to choose a scale that you will remember easily.
Your e-mail Input it if you want to receive answer. You must not choose any quadratics, since all quadratic equations can be solved by factorising or edror the quadratic formula.
Thanks for that Calum. It is reasonable for students to base their judgements on the equations they happen to have used.
C3 courseworkerror bounds?? | TES Community
Add this document to collection s. Your coursework uses three methods and ideally you should choose equations where the associated graph is going to cross the x-axis 2 or 3 times. An interview is also an ideal opportunity to pursue further any areas where there are errors or omissions in the coursework, although this will not affect the mark given in that domain.
The aims of this coursework are that students should appreciate the principles of numerical methods and at the same time be provided with useful equation solving techniques. Selecting a curve Positioning the mouse alongside a curve until a black arrow appears and then left-clicking the mouse turns the curve black and selects it for analysis. Alternatively you can select the area you want by just editing the axes.
Exercise For each of the graphs in the list, use the range suggested above to draw the graph on your calculator and then copy the graph onto file paper, not graph paper adding the scale to the axes. The assessment sheet should be issued at the start, and students should be made aware of how prescriptive the mark allocation is. There is a sensible comparison of the relative merits of the three methods in terms of speed of convergence.
What you need to find now are equations that do not factorise. The option you want is XY scatter, and then choose the sub-type with the curve drawn without showing individual points.
Don’t forget to look at the how to guide.