http://openlearn.open.ac.uk/course/category.php?id=8 This RSS feed contains a list of all the courses in the category Mathematics and Statistics on LearningSpace Moodle en-gb http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ Tue, 09 Feb 2010 12:21:35 GMT Tue, 09 Feb 2010 12:21:35 GMT 2010-02-09T12:21:35Z The Open University en-gb Licensed under a Creative Commons Attribution - NonCommercial-ShareAlike 2.0 Licence - see http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ Licensed under a Creative Commons Attribution - NonCommercial-ShareAlike 2.0 Licence - see http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=M248_2 Mon, 11 Jan 2010 16:08:31 GMT This unit is concerned with two main topics. In Section 1, you will learn about another kind of graphical display, the boxplot. A boxplot is a fairly simple graphic, which displays certain summary statistics of a set of data. Boxplots are particularly useful for assessing quickly the location, dispersion, and symmetry or skewness of a set of data, and for making comparisons of these features in two or more data sets. Boxplots can also be useful for drawing attention to possible outliers in a data set. The other topic, which is covered in Sections 2 and 3, is that of dealing with data presented in tabular form. You are, no doubt, familiar with such tables: they are common in the media and in reports and other documents. Yet it is not always straightforward to see at first glance just what information a table of data is providing, and it often helps to carry out certain calculations and/or to draw appropriate graphs to make this clearer. In this unit, some other kinds of data tables and some different approaches are covered. http://openlearn.open.ac.uk/course/view.php?name=M248_2 Interpreting data: boxplots and tables Mathematics and Statistics communicating_maths data mathematics statistics This unit is concerned with two main topics. In Section 1, you will learn about another kind of graphical display, the boxplot. A boxplot is a fairly simple graphic, which displays certain summary statistics of a set of data. Boxplots are particularly useful for assessing quickly the location, dispersion, and symmetry or skewness of a set of data, and for making comparisons of these features in two or more data sets. Boxplots can also be useful for drawing attention to possible outliers in a data set. The other topic, which is covered in Sections 2 and 3, is that of dealing with data presented in tabular form. You are, no doubt, familiar with such tables: they are common in the media and in reports and other documents. Yet it is not always straightforward to see at first glance just what information a table of data is providing, and it often helps to carry out certain calculations and/or to draw appropriate graphs to make this clearer. In this unit, some other kinds of data tables and some different approaches are covered. The Open University The Open University Course text/html M248_2 Mathematics and Computing Level 2 - M248 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01M248 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=M248_1 Mon, 11 Jan 2010 15:31:31 GMT This Unit will introduce you to a number of ways of representing data graphically and of summarising data numerically. You will learn the uses for pie charts, bar charts, histograms and scatterplots. You will also be introduced to various ways of summarising data and methods for assessing location and dispersion. http://openlearn.open.ac.uk/course/view.php?name=M248_1 Exploring data: graphs and numerical summaries Mathematics and Statistics communicating_maths data graphs mathematics This Unit will introduce you to a number of ways of representing data graphically and of summarising data numerically. You will learn the uses for pie charts, bar charts, histograms and scatterplots. You will also be introduced to various ways of summarising data and methods for assessing location and dispersion. The Open University The Open University Course text/html M248_1 Analysing data - M248 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01M248 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=Y162_2 Mon, 07 Sep 2009 13:35:46 GMT Patterns occur everywhere in art, nature, science and especially mathematics. Being able to recognise, describe and use these patterns is an important skill that helps you to tackle a wide variety of different problems. This unit explores some of these patterns ranging from ancient number patterns to the latest mathematical research. http://openlearn.open.ac.uk/course/view.php?name=Y162_2 Starting with maths: patterns and formulas Mathematics and Statistics formulas inequalities patterns proportion Patterns occur everywhere in art, nature, science and especially mathematics. Being able to recognise, describe and use these patterns is an important skill that helps you to tackle a wide variety of different problems. This unit explores some of these patterns ranging from ancient number patterns to the latest mathematical research. The Open University The Open University Course text/html Y162_2 Starting with maths - Y162 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01Y162 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MU120_4M6 Thu, 13 Aug 2009 09:45:22 GMT Communication is as vital in mathematics as in any language. This unit will help you to express yourself clearly when writing and speaking about mathematics. You will also learn how to answer questions in the manner that is expected by the examiner. http://openlearn.open.ac.uk/course/view.php?name=MU120_4M6 Language, notation and formulas Mathematics and Statistics formulas mathematical_symbols notation Communication is as vital in mathematics as in any language. This unit will help you to express yourself clearly when writing and speaking about mathematics. You will also learn how to answer questions in the manner that is expected by the examiner. The Open University The Open University Course text/html MU120_4M6 Open mathematics - MU120 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MU120_4M6 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=M208_1 Mon, 11 May 2009 12:03:36 GMT Attempts to answer problems in areas as diverse as science, technology and economics involve solving simultaneous linear equations. In this unit we look at some of the equations that represent points, lines and planes in mathematics. We explore concepts such as Euclidean space, vectors, dot products and conics. http://openlearn.open.ac.uk/course/view.php?name=M208_1 Vectors and conics Mathematics and Statistics algebra equations vectors Attempts to answer problems in areas as diverse as science, technology and economics involve solving simultaneous linear equations. In this unit we look at some of the equations that represent points, lines and planes in mathematics. We explore concepts such as Euclidean space, vectors, dot products and conics. The Open University The Open University Course text/html M208_1 Pure Mathematics - M208 en-gb http://www3.open.ac.uk/courses/ http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MU120_4M2 Mon, 11 May 2009 11:51:31 GMT Scientific calculators are a wonderful invention, but they're only as good as the people who use them. If you often get an unexpected – or ridiculous – result when you press the ‘enter’ button, this unit is for you. Learn how to do a calculation correctly and get the right answer every time. http://openlearn.open.ac.uk/course/view.php?name=MU120_4M2 Rounding and estimation Mathematics and Statistics decimals significant_figures whole_numbers Scientific calculators are a wonderful invention, but they're only as good as the people who use them. If you often get an unexpected – or ridiculous – result when you press the ‘enter’ button, this unit is for you. Learn how to do a calculation correctly and get the right answer every time. The Open University The Open University Course text/html MU120_4M2 Open mathematics - MU120 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MU120 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=M208_6 Mon, 11 May 2009 11:41:08 GMT Number systems and the rules for combining numbers can be daunting. This unit will help you to understand the detail of rational and real numbers, complex numbers and integers. You will also be introduced to modular arithmetic and the concept of a relation between elements of a set. http://openlearn.open.ac.uk/course/view.php?name=M208_6 Number systems Mathematics and Statistics complex_numbers linear_equations number_systems quadratic_equations real_numbers Number systems and the rules for combining numbers can be daunting. This unit will help you to understand the detail of rational and real numbers, complex numbers and integers. You will also be introduced to modular arithmetic and the concept of a relation between elements of a set. The Open University The Open University Course text/html M208_6 Pure mathematics - M208 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01M208 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=M338_1 Mon, 11 May 2009 11:37:03 GMT Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum. http://openlearn.open.ac.uk/course/view.php?name=M338_1 Surfaces Mathematics and Statistics homeomorphism polygon surface topology Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum. The Open University The Open University Course text/html M338_1 Topology - M338 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01M338_1 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MU120_4M5 Mon, 11 May 2009 11:35:16 GMT Diagrams, charts and graphs are used by all sorts of people to express information in a visual way, whether it's in a report by a colleague or a plan from your interior designer. This unit will teach you how to interpret these tools and how to use them yourself to convey information more effectively. http://openlearn.open.ac.uk/course/view.php?name=MU120_4M5 Diagrams, charts and graphs Mathematics and Statistics charts diagrams graphs Diagrams, charts and graphs are used by all sorts of people to express information in a visual way, whether it's in a report by a colleague or a plan from your interior designer. This unit will teach you how to interpret these tools and how to use them yourself to convey information more effectively. The Open University The Open University Course text/html MU120_4M5 Open mathematics - MU120 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MU120 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=Y162_1 Mon, 11 May 2009 11:23:28 GMT Many of us struggle to understand the fractions, formulas and calculations needed for everyday tasks. This unit provides an overview of Open University course Y162 Starting with maths, which is designed to help develop the skills needed for higher level study while also developing knowledge and understanding about maths. http://openlearn.open.ac.uk/course/view.php?name=Y162_1 Starting with maths – taster materials Mathematics and Statistics fractions mathematics maths Many of us struggle to understand the fractions, formulas and calculations needed for everyday tasks. This unit provides an overview of Open University course Y162 Starting with maths, which is designed to help develop the skills needed for higher level study while also developing knowledge and understanding about maths. The Open University The Open University Course text/html Y162_1 Starting with Maths - Y162 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01Y162 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MST209_6 Mon, 11 May 2009 11:18:15 GMT This unit is intended to develop your understanding of Newtonian mechanics in relation to oscillating systems. In addition to a basic grounding in calculus, this unit assumes that you have some understanding of how to solve second-order linear constant-coefficient differential equations; how to take the dot product of two vectors; of solving statics problems; and of applying Newton's second law to mechanical problems. http://openlearn.open.ac.uk/course/view.php?name=MST209_6 Modelling with differential equations: oscillations Mathematics and Statistics differential equations mathematics maths_modelling newton oscillation vectors This unit is intended to develop your understanding of Newtonian mechanics in relation to oscillating systems. In addition to a basic grounding in calculus, this unit assumes that you have some understanding of how to solve second-order linear constant-coefficient differential equations; how to take the dot product of two vectors; of solving statics problems; and of applying Newton's second law to mechanical problems. The Open University The Open University Course text/html MST209_6 Mathematical methods and models - MST209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MST209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MU120_4MCAL Mon, 20 Apr 2009 13:43:02 GMT Do you have a graphics or scientific calculator? If so, this unit will help you to understand the different functions and facilities available. With a focus on arithmetic, you will learn what a powerful tool this type of calculator can be. http://openlearn.open.ac.uk/course/view.php?name=MU120_4MCAL Tapping into mathematics Mathematics and Statistics graphics_calculator mathematical_functions scientific_calculator Do you have a graphics or scientific calculator? If so, this unit will help you to understand the different functions and facilities available. With a focus on arithmetic, you will learn what a powerful tool this type of calculator can be. The Open University The Open University Course text/html MU120_4MCAL Open mathematics - MU120 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MU120 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MSXR209_5 Fri, 23 Jan 2009 14:25:53 GMT This is the fifth and final unit in the MSXR209 series on mathematical modelling. In this unit we revisit the model developed in the first unit of this series on pollution in the Great Lakes of North America. Here we evaluate and revise the original model by comparing its predictions against data from the lakes before finally reflecting on the techniques used. This unit assumes you have studied Modelling pollution in the Great Lakes (MSXR209_1), Analysing skid marks (MSXR209_2), Developing modelling skills (MSXR209_3) and Modelling heat transfer (MSXR209_4). http://openlearn.open.ac.uk/course/view.php?name=MSXR209_5 Modelling pollution in the Great Lakes: a review Mathematics and Statistics mathematical mathematics maths_modelling model modelling This is the fifth and final unit in the MSXR209 series on mathematical modelling. In this unit we revisit the model developed in the first unit of this series on pollution in the Great Lakes of North America. Here we evaluate and revise the original model by comparing its predictions against data from the lakes before finally reflecting on the techniques used. This unit assumes you have studied Modelling pollution in the Great Lakes (MSXR209_1), Analysing skid marks (MSXR209_2), Developing modelling skills (MSXR209_3) and Modelling heat transfer (MSXR209_4). The Open University The Open University Course text/html MSXR209_5 Mathematical modelling - MSXR209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MSXR209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MSXR209_4 Fri, 23 Jan 2009 14:25:33 GMT This unit is the fourth in the MSXR209 series of five units on mathematical modelling. In this unit you will be taken through the whole modelling process in detail, from creating a first simple model, through evaluating it, to the subsequent revision of the model by changing one of the assumptions. The problem that will be examined is one based on heat transfer. This unit assumes you have studied Modelling pollution in the Great Lakes (MSXR209_1), Analysing skid marks (MSXR209_2) and Developing modelling skills (MSXR209_3). http://openlearn.open.ac.uk/course/view.php?name=MSXR209_4 Modelling heat transfer Mathematics and Statistics mathematical mathematics maths_modelling model modelling This unit is the fourth in the MSXR209 series of five units on mathematical modelling. In this unit you will be taken through the whole modelling process in detail, from creating a first simple model, through evaluating it, to the subsequent revision of the model by changing one of the assumptions. The problem that will be examined is one based on heat transfer. This unit assumes you have studied Modelling pollution in the Great Lakes (MSXR209_1), Analysing skid marks (MSXR209_2) and Developing modelling skills (MSXR209_3). The Open University The Open University Course text/html MSXR209_4 Mathematical modelling - MSXR209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MSXR209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MSXR209_3 Fri, 23 Jan 2009 14:25:17 GMT This unit is the third in the MSXR209 series of five units on mathematical modellng. It provides an overview of the processes involved in developing models, starting by explaining how to specify the purpose of the model. It then moves on to look at aspects involved in creating models, such as simplifying problems, choosing variables and parameters, formulating relationships and finding solutions. You will also look at interpreting results and evaluating models. This unit assumes that you have previously studied Modelling pollution in the Great Lakes (MSXR209_1) and Analysing skid marks (MSXR209_2). http://openlearn.open.ac.uk/course/view.php?name=MSXR209_3 Developing modelling skills Mathematics and Statistics mathematical mathematics maths_modelling model modelling This unit is the third in the MSXR209 series of five units on mathematical modellng. It provides an overview of the processes involved in developing models, starting by explaining how to specify the purpose of the model. It then moves on to look at aspects involved in creating models, such as simplifying problems, choosing variables and parameters, formulating relationships and finding solutions. You will also look at interpreting results and evaluating models. This unit assumes that you have previously studied Modelling pollution in the Great Lakes (MSXR209_1) and Analysing skid marks (MSXR209_2). The Open University The Open University Course text/html MSXR209_3 Mathematical modelling - MSXR209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MSXR209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MSXR209_2 Fri, 23 Jan 2009 14:25:01 GMT This unit is the second in the MSXR209 series of five units on mathematical modelling. In this unit you are asked to relate the stages of the mathematical modelling process to a previously formulated mathematical model. This example, that of skid mark produced by vehicle tyres, is typical of accounts of modelling that you may see in books, or produced in the workplace. The aim of this unit is to help you to draw out and to clarify mathematical modelling ideas by considering the example. It assumes that you have studied Modelling pollution in the Great Lakes (MSXR209_1). http://openlearn.open.ac.uk/course/view.php?name=MSXR209_2 Analysing skid marks Mathematics and Statistics mathematical maths_modelling modelling This unit is the second in the MSXR209 series of five units on mathematical modelling. In this unit you are asked to relate the stages of the mathematical modelling process to a previously formulated mathematical model. This example, that of skid mark produced by vehicle tyres, is typical of accounts of modelling that you may see in books, or produced in the workplace. The aim of this unit is to help you to draw out and to clarify mathematical modelling ideas by considering the example. It assumes that you have studied Modelling pollution in the Great Lakes (MSXR209_1). The Open University The Open University Course text/html MSXR209_2 Mathematical modelling - MSXR209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MSXR209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MSXR209_1 Fri, 23 Jan 2009 14:24:04 GMT This unit is the first in the MSXR209 series of five units that introduce the idea of modelling with mathematics. This unit centres on a mathematical model of how pollution levels in the Great Lakes of North America vary over a period of time. It demonstrates that, by keeping the model as simple as possible extremely complex systems can be understood and predicted. http://openlearn.open.ac.uk/course/view.php?name=MSXR209_1 Modelling pollution in the Great Lakes Mathematics and Statistics mathematical_model mathematics maths_modelling modelling This unit is the first in the MSXR209 series of five units that introduce the idea of modelling with mathematics. This unit centres on a mathematical model of how pollution levels in the Great Lakes of North America vary over a period of time. It demonstrates that, by keeping the model as simple as possible extremely complex systems can be understood and predicted. The Open University The Open University Course text/html MSXR209_1 Mathematical modelling - MSXR209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MSXR209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=M208_2 Tue, 06 Jan 2009 14:35:47 GMT This unit will help you understand more about real numbers and their properties. It will explain the relationship between real numbers and recurring decimals, explain irrational numbers and discuss inequalities. The unit will help you to use the Triangle Inequality, the Binomial Theorem and the Least Upper Bound Property. http://openlearn.open.ac.uk/course/view.php?name=M208_2 Numbers Mathematics and Statistics binomial_theorem inequalities irrational_number rational_number triangle_inequality This unit will help you understand more about real numbers and their properties. It will explain the relationship between real numbers and recurring decimals, explain irrational numbers and discuss inequalities. The unit will help you to use the Triangle Inequality, the Binomial Theorem and the Least Upper Bound Property. The Open University The Open University Course text/html M208_2 Pure mathematics - M208 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01M208 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MU120_4M7 Mon, 15 Dec 2008 10:54:24 GMT Geometry is concerned with the various aspects of size, shape and space. In this unit, you will explore the concepts of angles, shapes, symmetry, area and volume through interactive activities. http://openlearn.open.ac.uk/course/view.php?name=MU120_4M7 Geometry Mathematics and Statistics angles area geometry symmetry volume Geometry is concerned with the various aspects of size, shape and space. In this unit, you will explore the concepts of angles, shapes, symmetry, area and volume through interactive activities. The Open University The Open University Course text/html MU120_4M7 Open Mathematics - MU120_B en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MU120 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MU120_1 Mon, 08 Sep 2008 10:39:50 GMT This unit explores reasons for studying mathematics, practical applications of mathematical ideas and aims to help you to recognise mathematics when you come across it. It introduces the you to the graphics calculator, and takes you through a series of exercises from the Calculator Book, Tapping into Mathematics With the TI-83 Graphics Calculator. The unit ends by asking you to reflect on the process of studying mathematics. In order to complete this unit you will need to have obtained a Texas Instruments TI-83 calculator and the book Tapping into Mathematics With the TI-83 Graphics Calculator (ISBN 0201175479). http://openlearn.open.ac.uk/course/view.php?name=MU120_1 Maths everywhere Mathematics and Statistics algera calculator mathematics maths maths_modelling teaching_techniques This unit explores reasons for studying mathematics, practical applications of mathematical ideas and aims to help you to recognise mathematics when you come across it. It introduces the you to the graphics calculator, and takes you through a series of exercises from the Calculator Book, Tapping into Mathematics With the TI-83 Graphics Calculator. The unit ends by asking you to reflect on the process of studying mathematics. In order to complete this unit you will need to have obtained a Texas Instruments TI-83 calculator and the book Tapping into Mathematics With the TI-83 Graphics Calculator (ISBN 0201175479). The Open University The Open University Course text/html MU120_1 Open mathematics - MU120 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MU120 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=M208_3 Tue, 19 Aug 2008 09:22:39 GMT We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video. http://openlearn.open.ac.uk/course/view.php?name=M208_3 Symmetry Mathematics and Statistics We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video. The Open University The Open University Course text/html M208_3 Pure Mathematics - M208 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01M208 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=M208_5 Fri, 01 Aug 2008 08:37:23 GMT In our everyday lives we use we use language to develop ideas and to communicate them to other people. In this unit we examine ways in which language is adapted to express mathematical ideas. http://openlearn.open.ac.uk/course/view.php?name=M208_5 Mathematical language Mathematics and Statistics functions mathematics maths sets In our everyday lives we use we use language to develop ideas and to communicate them to other people. In this unit we examine ways in which language is adapted to express mathematical ideas. The Open University The Open University Course text/html M208_5 Pure mathematics - M208 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01M208 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=M332_1 Fri, 01 Aug 2008 08:32:26 GMT You may have met complex numbers before, but not had experience in manipulating them. This unit gives an accessible introduction to complex numbers, which are very important in science and technology, as well as mathematics. The unit includes definitions, concepts and techniques which will be very helpful and interesting to a wide variety of people with a reasonable background in algebra and trigonometry. http://openlearn.open.ac.uk/course/view.php?name=M332_1 Complex numbers Mathematics and Statistics complex_numbers imaginary_numbers real_numbers You may have met complex numbers before, but not had experience in manipulating them. This unit gives an accessible introduction to complex numbers, which are very important in science and technology, as well as mathematics. The unit includes definitions, concepts and techniques which will be very helpful and interesting to a wide variety of people with a reasonable background in algebra and trigonometry. The Open University The Open University Course text/html M332_1 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=M208_4 Fri, 01 Aug 2008 08:24:59 GMT 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. http://openlearn.open.ac.uk/course/view.php?name=M208_4 Real functions and graphs Mathematics and Statistics calculus functions graphs mathematics 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. The Open University The Open University Course text/html M208_4 Pure mathematics - M208 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01M208 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MU120_4M3 Fri, 01 Aug 2008 08:10:28 GMT From politics to cookery, ratios, proportions and percentages are part of everyday life. This unit is designed to help you become more familiar with how figures can be manipulated, then you can check whether that discount really is as big as they claim! http://openlearn.open.ac.uk/course/view.php?name=MU120_4M3 Ratio, proportion and percentages Mathematics and Statistics decimals fractions percentage proportion ratio From politics to cookery, ratios, proportions and percentages are part of everyday life. This unit is designed to help you become more familiar with how figures can be manipulated, then you can check whether that discount really is as big as they claim! The Open University The Open University Course text/html MU120_4M3 Open mathematics - MU120 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01mu120 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MU120_4M4 Fri, 01 Aug 2008 08:09:36 GMT From paving your patio to measuring the ingredients for your latest recipe, squares, roots and powers really are part of everyday life. This unit reviews the basics of all three and also describes scientific notation, which is a convenient way of writing or displaying large numbers. http://openlearn.open.ac.uk/course/view.php?name=MU120_4M4 Squares, roots and powers Mathematics and Statistics roots square From paving your patio to measuring the ingredients for your latest recipe, squares, roots and powers really are part of everyday life. This unit reviews the basics of all three and also describes scientific notation, which is a convenient way of writing or displaying large numbers. The Open University The Open University Course text/html MU120_4M4 Open mathematics - MU120 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MU120 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MU120_4M1 Fri, 01 Aug 2008 08:07:27 GMT Do fractions and decimals make you apprehensive about maths? Do you lack confidence in dealing with numbers? If so, then this unit is for you. The unit will explain the basics of working with positive and negative numbers and how to multiply and divide with fractions and decimals. http://openlearn.open.ac.uk/course/view.php?name=MU120_4M1 Numbers, units and arithmetic Mathematics and Statistics Do fractions and decimals make you apprehensive about maths? Do you lack confidence in dealing with numbers? If so, then this unit is for you. The unit will explain the basics of working with positive and negative numbers and how to multiply and divide with fractions and decimals. The Open University The Open University Course text/html MU120_4M1 Open Mathematics - MU120_A en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MU120 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MU120_3 Fri, 01 Aug 2008 07:56:25 GMT Graphs are a common way of presenting information. However, like any other type of representation, graphs rely on shared understandings of symbols and styles to convey meaning. Also, graphs are normally drawn specifically with the intention of presenting information in a particularly favourable or unfavourable light, to convince you of an argument or to influence your decisions. http://openlearn.open.ac.uk/course/view.php?name=MU120_3 Exploring distance time graphs Mathematics and Statistics communicating_maths graphs information mathematics Graphs are a common way of presenting information. However, like any other type of representation, graphs rely on shared understandings of symbols and styles to convey meaning. Also, graphs are normally drawn specifically with the intention of presenting information in a particularly favourable or unfavourable light, to convince you of an argument or to influence your decisions. The Open University The Open University Course text/html MU120_3 Open Mathematics - MU120 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MU120 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MU120_2 Fri, 01 Aug 2008 07:54:53 GMT This unit looks at a wide variety of ways of comparing prices and the construction of a price index. You will also look at the Retail Price Index (RPI) and the Consumer Price Index (CPI), indices used by the UK Government to calculate the percentage by which prices in general have risen over any given period. You wil also look at the important statistical and mathematical ideas that contribute to the construction of a price index. http://openlearn.open.ac.uk/course/view.php?name=MU120_2 Prices Mathematics and Statistics communicating_maths mathematical mathematics prices rpi statistical statistics This unit looks at a wide variety of ways of comparing prices and the construction of a price index. You will also look at the Retail Price Index (RPI) and the Consumer Price Index (CPI), indices used by the UK Government to calculate the percentage by which prices in general have risen over any given period. You wil also look at the important statistical and mathematical ideas that contribute to the construction of a price index. The Open University The Open University Course text/html MU120_2 Open mathematics - MU120 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MU120 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MST209_9 Fri, 01 Aug 2008 07:49:47 GMT This unit is concerned with the technique of expressing a periodic function as a sum of terms, where each term is a constant, a sine function or a cosine function. There is a strong analogy with the technique of expressing a (non-periodic) function as a Taylor series, which is a sum of terms that are powers of the independent variable(s); in both cases, working with just the first few terms generally gives a useful approximation. This unit assumes the following background knowledge: the definition of the period; forced oscillations and resonance; integration by parts. http://openlearn.open.ac.uk/course/view.php?name=MST209_9 Fourier series Mathematics and Statistics fourier mathematics maths_modelling oscillation periodic_function This unit is concerned with the technique of expressing a periodic function as a sum of terms, where each term is a constant, a sine function or a cosine function. There is a strong analogy with the technique of expressing a (non-periodic) function as a Taylor series, which is a sum of terms that are powers of the independent variable(s); in both cases, working with just the first few terms generally gives a useful approximation. This unit assumes the following background knowledge: the definition of the period; forced oscillations and resonance; integration by parts. The Open University The Open University Course text/html MST209_9 Mathematical methods and models - MST209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MST209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MST209_8 Fri, 01 Aug 2008 07:48:45 GMT This unit is intended to further develop your understanding of Newtonian mechanics in relation to oscillating systems. In addition to a basic grounding in solving systems of differential equations, this unit assumes that you have some understanding of eigenvalues and eigenvectors. http://openlearn.open.ac.uk/course/view.php?name=MST209_8 Modelling with systems of differential equations Mathematics and Statistics differential eigenvalues equations mathematics maths_modelling modelling oscillations This unit is intended to further develop your understanding of Newtonian mechanics in relation to oscillating systems. In addition to a basic grounding in solving systems of differential equations, this unit assumes that you have some understanding of eigenvalues and eigenvectors. The Open University The Open University Course text/html MST209_8 Mathematical methods and models - MST209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MST209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MST209_7 Fri, 01 Aug 2008 07:48:14 GMT This unit shows how various situations can be modelled by a system of linear differential equations. The prerequisite requirements to gain full advantage from this unit are a basic understanding of differential equations, a familiarity with the properties of matrices and determinants and some understanding of eigenvalues and eigenvectors. http://openlearn.open.ac.uk/course/view.php?name=MST209_7 Systems of differential equations Mathematics and Statistics differential eigenvalues equations mathematics maths_modelling This unit shows how various situations can be modelled by a system of linear differential equations. The prerequisite requirements to gain full advantage from this unit are a basic understanding of differential equations, a familiarity with the properties of matrices and determinants and some understanding of eigenvalues and eigenvectors. The Open University The Open University Course text/html MST209_7 Mathematical methods and models - MST209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MST209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MST209_5 Fri, 01 Aug 2008 07:47:05 GMT This unit lays the foundation of Newtonian mechanics and in particular the procedure for solving dynamics problems. The preresquisite skills needed for this unit are the ability to solve first and second-order differential equations, a knowledge of vectors, and an understanding of the concept of a force http://openlearn.open.ac.uk/course/view.php?name=MST209_5 Modelling with first order differential equations Mathematics and Statistics differential equations mathematics maths_modelling vectors This unit lays the foundation of Newtonian mechanics and in particular the procedure for solving dynamics problems. The preresquisite skills needed for this unit are the ability to solve first and second-order differential equations, a knowledge of vectors, and an understanding of the concept of a force The Open University The Open University Course text/html MST209_5 Mathematical methods and models - MST209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MST209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MST209_4 Fri, 01 Aug 2008 07:46:15 GMT This unit lays the foundation of the subject of mechanics. Mechanics is concerned with how and why objects stay put, and how and why they move. In particular, this unit - Modelling Static Problems - considers why objects stay put. And it assumes that you have a good working knowledge of vectors. http://openlearn.open.ac.uk/course/view.php?name=MST209_4 Modelling static problems Mathematics and Statistics mathematics maths_modelling modelling vectors This unit lays the foundation of the subject of mechanics. Mechanics is concerned with how and why objects stay put, and how and why they move. In particular, this unit - Modelling Static Problems - considers why objects stay put. And it assumes that you have a good working knowledge of vectors. The Open University The Open University Course text/html MST209_4 Mathematical methods and models - MST209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MST209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MST209_3 Fri, 01 Aug 2008 07:45:52 GMT This unit introduces the topic of vectors. The subject is developed without assuming you have come across it before, but the unit assumes that you have previously had a basic grounding in algebra and trigonometry, and how to use Cartesian coordinates for specifying a point in a plane. http://openlearn.open.ac.uk/course/view.php?name=MST209_3 Using vectors to model Mathematics and Statistics mathematics maths_modelling model vectors This unit introduces the topic of vectors. The subject is developed without assuming you have come across it before, but the unit assumes that you have previously had a basic grounding in algebra and trigonometry, and how to use Cartesian coordinates for specifying a point in a plane. The Open University The Open University Course text/html MST209_3 Mathematical methods and models - MST209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MST209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MST209_2 Fri, 01 Aug 2008 07:45:34 GMT This unit extends the ideas introduced in the unit on first-order differential equations to a particular type of second-order differential equations which has a variety of applications. The unit assumes that you have previously had a basic grounding in calculus, know something about first-order differential equations and some familiarity with complex numbers. http://openlearn.open.ac.uk/course/view.php?name=MST209_2 Differential equations Mathematics and Statistics calculus complex_numbers differential equations mathematics maths_modelling This unit extends the ideas introduced in the unit on first-order differential equations to a particular type of second-order differential equations which has a variety of applications. The unit assumes that you have previously had a basic grounding in calculus, know something about first-order differential equations and some familiarity with complex numbers. The Open University The Open University Course text/html MST209_2 Mathematical methods and models - MST209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MST209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MST209_10 Fri, 01 Aug 2008 07:45:17 GMT This unit shows how partial differential equations can be used to model phenomena such as waves and heat transfer. The prerequisite requirements to gain full advantage from this unit are an understanding of ordinary differential equations and basic familiarity with partial differential equations. http://openlearn.open.ac.uk/course/view.php?name=MST209_10 Modelling with Fourier series Mathematics and Statistics differential equations fourier mathematics maths_modelling modelling This unit shows how partial differential equations can be used to model phenomena such as waves and heat transfer. The prerequisite requirements to gain full advantage from this unit are an understanding of ordinary differential equations and basic familiarity with partial differential equations. The Open University The Open University Course text/html MST209_10 Mathematical methods and models - MST209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MST209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MST209_1 Fri, 01 Aug 2008 07:45:00 GMT This unit introduces the topic of differential equations. The subject is developed without assuming that you have come across it before, but it is taken for granted that you have a basic grounding in calculus. In particular, you will need to have a good grasp of the basic rules for differentiation and integration. http://openlearn.open.ac.uk/course/view.php?name=MST209_1 First-order differential equations Mathematics and Statistics calculus differential equations mathematics maths_modelling This unit introduces the topic of differential equations. The subject is developed without assuming that you have come across it before, but it is taken for granted that you have a basic grounding in calculus. In particular, you will need to have a good grasp of the basic rules for differentiation and integration. The Open University The Open University Course text/html MST209_1 Mathematical methods and models - MST209 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01MST209 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=MST121_1 Fri, 01 Aug 2008 07:44:20 GMT In this unit you will see first how to convert vectors from geometric form, in terms of a magnitude and direction, to component form, and then how conversion in the opposite sense is accomplished. The ability to convert between these different forms of a vector is useful in certain problems involving displacement and velocity, as shown in Section 2, in which you will also work with bearings. http://openlearn.open.ac.uk/course/view.php?name=MST121_1 Modelling displacements and velocities Mathematics and Statistics mathematics maths_modelling modelling vectors In this unit you will see first how to convert vectors from geometric form, in terms of a magnitude and direction, to component form, and then how conversion in the opposite sense is accomplished. The ability to convert between these different forms of a vector is useful in certain problems involving displacement and velocity, as shown in Section 2, in which you will also work with bearings. The Open University The Open University Course text/html MST121_1 Using mathematics - MST121 en-gb 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=ME825_1 Fri, 01 Aug 2008 07:43:58 GMT This unit focuses on your initial encounters with research. It invites you to think about how perceptions of mathematics have influenced you in your prior learning, your teaching and the attitudes of learners. http://openlearn.open.ac.uk/course/view.php?name=ME825_1 Working on your own mathematics Mathematics and Statistics mathematics teaching teaching_maths teaching_techniques This unit focuses on your initial encounters with research. It invites you to think about how perceptions of mathematics have influenced you in your prior learning, your teaching and the attitudes of learners. The Open University The Open University Course text/html ME825_1 Researching mathematics learning - ME825 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01ME825 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=ME624_1 Fri, 01 Aug 2008 07:43:37 GMT This unit is aimed at teachers who wish to review how they go about the practice of teaching maths, those who are considering becoming maths teachers, or those who are studying maths courses and would like to understand more about the teaching process. http://openlearn.open.ac.uk/course/view.php?name=ME624_1 Experiences of learning mathematics Mathematics and Statistics mathematics teaching teaching_maths teaching_techniques This unit is aimed at teachers who wish to review how they go about the practice of teaching maths, those who are considering becoming maths teachers, or those who are studying maths courses and would like to understand more about the teaching process. The Open University The Open University Course text/html ME624_1 Teaching mathematical thinking at Key Stage 3 - ME624 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01ME624 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=M337_1 Fri, 01 Aug 2008 07:42:50 GMT This unit looks at complex numbers. You will learn how they are defined, examine their geometric representation and then move on to looking at the methods for finding the nth roots of complex numbers and the solutions to simple polynominal equations. http://openlearn.open.ac.uk/course/view.php?name=M337_1 An introduction to complex numbers Mathematics and Statistics complex_numbers mathematics This unit looks at complex numbers. You will learn how they are defined, examine their geometric representation and then move on to looking at the methods for finding the nth roots of complex numbers and the solutions to simple polynominal equations. The Open University The Open University Course text/html M337_1 Complex analysis - M337 en-gb http://www3.open.ac.uk/courses/bin/p12.dll?C01M337 http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm http://www.open2.net/sciencetechnologynature/ 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 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 Mathematics and Statistics http://openlearn.open.ac.uk/course/view.php?name=LIB_6 Fri, 01 Aug 2008 07:40:25 GMT This unit will help you to identify and use information in maths and statistics, whether for your work, study or personal purposes. Experiment with some of the key resources in this subject area, and learn about the skills which will enable you to plan searches for information, so you can find what you are looking for more easily. Discover the meaning of information quality, and learn how to evaluate the information you come across. You will also be introduced to the many different ways of organising your own information, and learn how to reference it properly in your work. Finally, discover how to keep up to date with the latest developments in your area of interest by using tools such as RSS and mailing lists. http://openlearn.open.ac.uk/course/view.php?name=LIB_6 Finding information in mathematics and statistics Mathematics and Statistics information library_use mathematics_info This unit will help you to identify and use information in maths and statistics, whether for your work, study or personal purposes. Experiment with some of the key resources in this subject area, and learn about the skills which will enable you to plan searches for information, so you can find what you are looking for more easily. Discover the meaning of information quality, and learn how to evaluate the information you come across. You will also be introduced to the many different ways of organising your own information, and learn how to reference it properly in your work. Finally, discover how to keep up to date with the latest developments in your area of interest by using tools such as RSS and mailing lists. The Open University The Open University Course text/html LIB_6 Finding information - LIB en-gb http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm 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 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