Licensed under a Creative Commons Attribution - NonCommercial-ShareAlike 2.0 Licence - see http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ - Original copyright The Open University
<p>Many problems are best studied by working with real functions, and the properties of real functions are often revealed most clearly by their graphs. Learning to sketch such graphs is therefore a useful skill, even though computer packages can now perform the task. Computers can plot many more points than can be plotted by hand, but simply ‘joining up the dots’ can sometimes give a misleading picture, so an understanding of how such graphs may be obtained remains important. The object of this course is to review the various techniques for sketching graphs that you may have met in your previous studies, and to extend these methods.</p><p>This OpenLearn course is an adapted extract from the Open Unviersity course <span class="oucontent-linkwithtip"><a class="oucontent-hyperlink" href="http://www3.open.ac.uk/study/undergraduate/course/m208.htm?LKCAMPAIGN=ebook_&MEDIA=ou">M208: <i>Pure Mathematics</i></a></span></p>
<p>Many problems are best studied by working with real functions, and the properties of real functions are often revealed most clearly by their graphs. Learning to sketch such graphs is therefore a useful skill, even though computer packages can now perform the task. Computers can plot many more points than can be plotted by hand, but simply ‘joining up the dots’ can sometimes give a misleading picture, so an understanding of how such graphs may be obtained remains important. The object of this unit is to review the various techniques for sketching graphs that you may have met in your previous studies, and to extend these methods.</p><p>This unit is an adapted extract from the Open University course <span class="oucontent-linkwithtip"><a class="oucontent-hyperlink" href="http://www3.open.ac.uk/study/undergraduate/course/m208.htm"><i>Pure mathematics</i>
(M208)</a></span></p>
Sometimes the best way to understand a set of data is to sketch a simple graph. This exercise can reveal hidden trends and meanings not clear from just looking at the numbers. In this free course, real functions and graphs, you will review the various approaches to sketching graphs and learn some more advanced techniques.<link rel="canonical" href="http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/real-functions-and-graphs/content-section-0" /> First published on Tue, 28 Jun 2011 as <a href="http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/real-functions-and-graphs/content-section-0">Real functions and graphs</a>. To find out more visit The Open University's <a href="http://www.open.edu/openlearn/ole-home-page">Openlearn</a> website. Creative-Commons 2011
Sometimes the best way to understand a set of data is to sketch a simple graph. This exercise can reveal hidden trends and meanings not clear from just looking at the numbers. In this unit you will review the various approaches to sketching graphs and learn some more advanced techniques.<link rel="canonical" href="http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/real-functions-and-graphs/content-section-0" /> First published on Tue, 28 Jun 2011 as <a href="http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/real-functions-and-graphs/content-section-0">Real functions and graphs</a>. To find out more visit The Open University's <a href="http://www.open.edu/openlearn/ole-home-page">Openlearn</a> website. Creative-Commons 2011