代做MAS115、代做Python程序语言、代写c/c++、Java

日期：2019-03-14 10:56

MAS115: SEMESTER 1 MINI-PROJECT

POLYGON AREAS

PROF PAUL BLACKWELL AND MR PETER DERLIEN

The basic task

The signed area A of a simple polygon with vertices (x1, y1), . . . ,(xn, yn)

can be calculated1

where xn+1 := x1, yn+1 := y1.

Your task is to write a function in R that, given the co-ordinates of the vertices

of a polygon, plots it (if required, as specified by an optional argument)

and calculates its area.

You should verify the value obtained for at least one polygon for which

you can calculate the area by some other method, either mathematically or

numerically.

Extending the project

In addition to the basic task, you should investigate a way of extending the

project further, either computationally or mathematically. You might:

investigate other approaches for calculating a polygon’s area;

look at more complicated cases e.g. polygons with holes;

look at the results for a particular ‘family’ of polygons e.g. regular

polygons or circular polygons;

explore connections between the formula given above and any other

mathematical ideas;

extend in any other way you can think of.

Do as much as you can! What you choose is up to you.

The project write-up

You should write up your investigations in a R markdown report of around

4 pages, and strictly no more than 6, using the template provided. The title

should be ‘MAS115: Semester 2 Mini-project’, and the author should be

your registration number. Please do not include your name.

You should include sufficient discussion of your R code to explain how it

works, but a line-by-line description of the code is not necessary. The code

1http://mathworld.wolfram.com/PolygonArea.html

1

2 PROF PAUL BLACKWELL AND MR PETER DERLIEN

should be written with meaningful variable names and good use of comments

to aid readability.

Your project will be peer-assessed. This means that it will be marked by

your fellow students. You will receive a mark out of 8 for the project itself,

and a mark out of 2 for your involvement in the peer-assessment. Overall,

the project counts as 10% of your final module score.

Your write-up must not be longer than 6 pages; if this is problematic, contact

Prof Blackwell. You will submit the project (PDF, plus .Rmd file) online

via the course website. The deadline for uploading the projects is 2pm on

Tuesday 26th March (Week 8). More details will follow.

Note. The peer assessment session will be in the standard MAS115 lecture

slot on Tuesday 2nd April (Week 9). Please make sure that you attend.

Late work, plagiarism and yellow stickers

Late work. Due to the peer-assessment of this work, it is important that

work is submitted on time. Any work submitted after the deadline may be

given a mark of zero. Anybody with circumstances affecting their ability

to hand in the work must contact Prof Blackwell in advance of the hand-in

date.

Plagiarism. The mini-project is an individual assignment and must be your

own work. You must not copy work from other students. Formally, this is a

‘non-invigilated examination’; University rules about the use of unfair means

apply. You can ask for help on the discussion board, but must not ask for

help on any other internet discussion forum, or email list or anything of a

similar nature. Where we judge that plagiarism has occurred or two pieces

of work are too similar, we may award zero for those assignments.

Yellow stickers. If you have been assessed by the Disability and Dyslexia

Support Service (DDSS) and have been given yellow stickers to put on your

work, please let Prof Blackwell know so that we can attach a virtual sticker

to your mini-project.

Advice for a good project

Make use of the discussion board. We may post hints on there.

Look over the lecture/lab notes on how to go about writing a program

and how to improve the chances of finding bugs easily.

Try to make your R code as tidy as possible, with comments where

appropriate; after all, it will be read by your fellow students.

Make your write-up as readable as possible by following the advice in

the presentation lectures and learning from your homework feedback.

We hope this mini-project will help you to consolidate what you have learnt

so far and that you enjoy doing it.