Part A, B and C to complete as per below and marking criteria attached.

Part A:

Trapezoidal Rule

Research and provide a detailed report on the trapezoidal rule.

- detailed explanation
- why it is useful
- demonstration of rule with and without function
- comparison of results with the definite integral
- evaluation of the method, including strengths and weaknesses and any assumptions made and their effects

PART B: Other methods

There are various other numerical methods of integration - including but not limited to: Monte Carlo, Riemann Sums & Simpsons Rule

Research **two** other methods. Demonstrate their their use to find the area under a function. Include a full explantion of the method of obtaining all numerical values, full working and justifications. State any assumptions on the validity of the model.

PART C: Compare

Compare the 4 methods of integration used throughout this investigation (Trapezoidal rule, the two methods researched in PART B and the definite integral).

Comment on their accuracy and use examples to suppport your comparison. Detail the strengths and weaknesses of each method.

Subject | Mathematics |

Due By (Pacific Time) | 09/01/2012 11:00 pm |

Tutor | Rating |
---|---|

pallavi Chat Now! |
out of 1971 reviews More.. |

amosmm Chat Now! |
out of 766 reviews More.. |

PhyzKyd Chat Now! |
out of 1164 reviews More.. |

rajdeep77 Chat Now! |
out of 721 reviews More.. |

sctys Chat Now! |
out of 1600 reviews More.. |

sharadgreen Chat Now! |
out of 770 reviews More.. |

topnotcher Chat Now! |
out of 766 reviews More.. |

XXXIAO Chat Now! |
out of 680 reviews More.. |