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Introduction to Calculus

Description

Now we extend the analysis of non-linear functions by beginning to illustrate the use of differential calculus. This is an essential tool for economists because in many areas of economics we are interested in the speed of change of functions as a means of dealing with economic problems. We will look at two simple examples here and develop further examples in our final film to extend our understanding of differential calculus. (Duration 6 minutes 20 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that use a variety of industries as examples, to examine how businesses can maximise profits by using the mathematical technique of linear programming. This series also examines non-linear functions. They are fundamental buildi

Subjects

metalproject | economics | maths | mathematics | linear programming | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Calculus - Determining Marginal Revenue

Description

This film examines the calculations for deriving marginal and total revenue with the linear demand curve of a firm with some monopoly power, and we calculate the effect on revenue of a change in output. (Duration 5 minutes 37 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that use a variety of industries as examples, to examine how businesses can maximise profits by using the mathematical technique of linear programming. This series also examines non-linear functions. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

economics | maths | mathematics | metalproject | linear programming | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Calculus - Income Growth, Consumption and Savings

Description

Slovenia recently joined the EU and is experiencing sustained growth in income. If it succeeds in growing at an annual rate of 4 per cent for the next two years average income will be rather higher. But how will that growth in income affect consumption and saving? We use Differential Calculus to find out. (Duration 5 minutes and 44 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that use a variety of industries as examples, to examine how businesses can maximise profits by using the mathematical technique of linear programming. This series also examines non-linear functions. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or vi

Subjects

maths | mathematics | economics | metalproject | linear programming | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Film Series Four - Conclusion

Description

The mathematics of calculus is a very powerful tool of such widespread application in economics that it is essential that we understand its basic elements. As we shall see in this film it is of value in solving a whole range of economic problems. (Duration 1 minute and nine seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that use a variety of industries as examples, to examine how businesses can maximise profits by using the mathematical technique of linear programming. This series also examines non-linear functions. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Ques

Subjects

maths | mathematics | economics | metalproject | linear programming | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Introduction to Differentiation - How large should a University be?

Description

Making rational decisions often means thinking about small changes, and many of them revolve around the idea of the margin - the marginal change. A useful way of analysing marginal changes is by differentiation. (Duration 7 minutes 21 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

differentiation | economics | maths | mathematics | metalproject | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Conclusion to film 5.01

Description

Concludes the clip for differentiation and optimal University size. (Duration 2 minutes 13 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

economics | maths | mathematics | differentiation | metalproject | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Finding the optimal number of floors in hotel construction - part one

Description

Up to a certain point, the higher the building, the lower the cost per floor. However at a certain point fixed costs rise dramatically to take into account the cost of deeper foundations and a stronger construction. In this film we introduce calculus to optimise spend and determine the appropriate number of floors to build. (Duration 5 minutes 18 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Quest

Subjects

economics | maths | mathematics | metalproject | integration | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Finding the optimal number of floors in hotel construction - part two

Description

Up to a certain point, the higher the building, the lower the cost per floor. However at a certain point fixed costs rise dramatically to take into account the cost of deeper foundations and a stronger construction. In this film we introduce calculus to optimise spend and determine the appropriate number of floors to build. (Duration 5 minutes). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

metalproject | maths | mathematics | economics | integration | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Finding the optimal number of floors in hotel construction - Conclusion

Description

Up to a certain point, the higher the building, the lower the cost per floor. However at a certain point fixed costs rise dramatically to take into account the cost of deeper foundations and a stronger construction. In this film we introduce calculus to optimise spend and determine the appropriate number of floors to build. (Duration 1 minutes 18 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Quest

Subjects

economics | maths | mathematics | metalproject | integration | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Differentiation - Prices in monopolistic markets - part one

Description

In this section we look at supermarket pricing, using differentiation to show that equilibrium price in monopolistic markets in higher than in competitive markets. (Duration 7 minutes 50 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

differentiation | maths | mathematics | metalproject | economics | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Differentiation - Prices in monopolistic markets - part two

Description

This film examines the relationship between monopoly power and elasticity, and applies this principle in order to understand why supermarkets mark up some goods much more than they mark up others. (Duration 4 minutes 44 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

differentiation | economics | metalproject | maths | mathematics | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Differentiation - Prices in monopolistic markets - part three

Description

Supermarkets have a much higher mark up on impulse items such as sweets. In this set we rearrange our formula and work out the elasticity implied in the mark up on any good. (Duration 4 minutes 24 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

differentiation | metalproject | economics | maths | mathematics | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Differentiation - Prices in monopolistic markets - Conclusion

Description

Differentiation has enabled us to understand why prices in monopolistic markets tend to be higher than in competitive ones. But an understanding of demand elasticity is essential to understanding price determination, not only in the supermarket, but also in markets generally. (Duration 4 minutes 26 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

economics | metalproject | maths | mathematics | differentiation | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Partial Differentiation - Complements and Substitutes

Description

In this section we use partial differentiation to determine the change in demand of one product when the price of another is changed. (Duration 10 minutes 37 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

maths | mathematics | economics | metalproject | differentiation | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Partial Differentiation - The Multiproduct Firm - part one

Description

In this section we use the technique of partial differentiation to examine the pricing decisions in diversified organisations. (Duration 2 minutes 37 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

economics | maths | mathematics | metalproject | partial differentiation | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Partial Differentiation - Multiproduct pricing - part two

Description

Using partial differentiation to understand pricing decisions in diversified organisations. (Duration 5 minutes 38 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

economics | maths | mathematics | metalproject | partial differentiation | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Partial Differentiation - Conclusion

Description

Concluding clip on using partial differentiation to understand pricing decisions in diversified organisations. (Duration 5 minutes 41 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

economics | metalproject | maths | mathematics | partial differentiation | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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The Diamond Water Paradox - part one

Description

What determines the price of a commodity is its marginal utility, not its total utility, and the price of all units of a good is set by its marginal valuation. This section uses integration to explore this concept. (Duration 6 minutes 44 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

economics | maths | mathematics | metalproject | integration | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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The Diamond Water Paradox - part two

Description

Integration is used to determine total utility of water versus diamonds. (Duration 6 minutes 9 seconds). Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

economics | metalproject | maths | mathematics | integration | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Series Conclusion

Description

Mathematics provides a hugely constructive way of gaining insights into economics as a discipline and into the way in which the real world operates. Part of a series of films from the METAL (Mathematics for Economics: enhancing Teaching and Learning) project that show how partial differentiation and integration are used to gain constructive insights into economics as a discipline. They are fundamental building blocks for a course of mathematics for economics. These video clips and animations can be viewed in isolation, or via the learning pathway links to related materials in a Question Bank.

Subjects

mathematics | maths | economics | metalproject | Social studies | L000

License

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/

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Crisis Game

Description

Short crisis game, to develop reflection on negotiation and group processes, plus observation sheet

Subjects

crisis | politics | ukoer | Social studies | L000

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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Clydebank video case study

Description

Janice West, senior lecturer in Social Work at Glasgow Calednonian University, talks about her simulation platform Clydetown. This video was recorded at the UKCLE OER event in Edinburgh on 19th May '10.

Subjects

social work | simulation | vle | ukoer | Social studies | L000

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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The OTTER Sami tent OER

Description

This is a reproduction of the Second Life Sami tent and is for free distribution within Second Life as a repurposable OER. It is available in two clearly identified forms: 1. As a single SL artefact, where all discrete items have been linked together to make a whole. 2. As a number of discrete SL artefacts. In addition, this OER includes two SL training guides: one for students and one for tutors. Users are encouraged to first read the 'Handout for the Sami tent OER' .

Subjects

artefacts | ukoer | jorum comp | second life | sami tent | second life tutor training guide | second life participant training guide | sl-tivities | Technologies | Social studies | Education | AGRICULTURE HORTICULTURE and ANIMAL CARE | S

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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A Beginner’s Guide to Contemporary America

Description

The aim of this module is to help students develop an increasingly sophisticated appreciation of contemporary America. While exploring a series of key themes and general topics that build upon your existing knowledge, this module will introduce the variety of academic approaches provided within this programme. A range of terms and approaches will equip them with the academic language used within American Studies. On completion of the module you should have a working knowledge of America and American Studies that will provide a basis for taking Level II and Level III modules.

Subjects

politics | culture | america | usa | us culture | us politics | Social studies | L000

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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1909 - The People's Budget

Description

Presentations and lectures from the 1909 People's Budget Symposium, held in October, 2009 on Lloyd George's landmark budget in 1909, which gave way to significant social reforms.

Subjects

simple-podcasting | tpi3 | economics | budget | lloyd george | 1909 | poverty | reform | liberal | finance | tax | checked1 | 2009-10-02 | land | council tax | ireland | irish independence | free trade | protectionism | he - social studies | britain | v310 | n330 | unionists | l113 | Social studies | L000

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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