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Chapter 8 – Solving Equations Numerically
When students have completed this lesson they should be able to:
- Use the sign-change rules to find approximate solutions by decimal search
- Know how to use a chord approximation to improve the efficiency of decimal search
- Use an iterative method to produce a sequence which converges to a root
- Understand that the choice of iterative method affects whether a sequence converges or not, and know what determines its behavior
- Appreciate that it is possible to modify and iterative method to speed up convergence
- Appreciate that decisions about choice of method may depend on what sort of calculator or computer software you are using
Chapter 9 – The Trapezium Rule
When students have completed this lesson they should be able to:
- Use the trapezium rule to estimate the value of a definite integral
- Use a sketch, in some cases, to determine whether the trapezium rule approximation is an overestimate or an underestimate