<?xml version="1.0" encoding="UTF-8"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://web.resource.org/cc/"><channel><atom:link href="http://unow.nottingham.ac.uk/rss.ashx" rel="self" type="application/rss+xml" /><title>Nottingham U-Now</title><link>http://unow.nottingham.ac.uk</link><description>U-Now is the University of Nottingham's formal open courseware initiative.</description><dc:date>2013-05-21</dc:date><dc:publisher>University of Nottingham</dc:publisher><dc:language>en-gb</dc:language><copyright><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></copyright><item><category>UNow</category><title>Definitions, proofs and examples </title><link>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=966dbda8-3f2e-ae0b-f887-382f0ca6b716</link><pubDate>Wed, 13 Jun 2012 14:05:12 GMT</pubDate><guid isPermaLink='true'>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=966dbda8-3f2e-ae0b-f887-382f0ca6b716</guid><dc:contributor>University Of Nottingham</dc:contributor><dc:type>Course</dc:type>text/html<dc:language>en-gb</dc:language><dc:relation></dc:relation><dc:rights><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></dc:rights><cc:license><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></cc:license><dc:description><![CDATA[During the academic year 2011-12, Dr Joel Feinstein gave five optional example classes to his second-year Mathematical Analysis students on Definitions, Proofs and Examples. Dr Feinstein recorded videos of these classes (presented here) to go along with his previous videos on 'How and why we do mathematical proofs'. 
These sessions are intended to reinforce material from lectures, while also providing more opportunities for students to hone their skills in a number of areas, including the following: 

•working with formal definitions

•making deductions from information given

•writing relatively routine proofs

•investigating the properties of examples

•thinking up examples with specified combinations of properties]]></dc:description><description><![CDATA[During the academic year 2011-12, Dr Joel Feinstein gave five optional example classes to his second-year Mathematical Analysis students on Definitions, Proofs and Examples. Dr Feinstein recorded videos of these classes (presented here) to go along with his previous videos on 'How and why we do mathematical proofs'. 
These sessions are intended to reinforce material from lectures, while also providing more opportunities for students to hone their skills in a number of areas, including the following: 

•working with formal definitions

•making deductions from information given

•writing relatively routine proofs

•investigating the properties of examples

•thinking up examples with specified combinations of properties]]></description><dc:date>2012-06-13</dc:date><dc:title>Definitions, proofs and examples </dc:title><dc:creator>Feinstein Joel Dr</dc:creator><dc:publisher>University of Nottingham</dc:publisher><dc:subject>UKOER</dc:subject><dc:subject>Definitions</dc:subject><dc:subject>Proofs</dc:subject><dc:subject>examples</dc:subject></item><item><category>UNow</category><title>Functional analysis</title><link>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951</link><pubDate>Wed, 10 Mar 2010 16:52:05 GMT</pubDate><guid isPermaLink='true'>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951</guid><dc:contributor>University Of Nottingham</dc:contributor><dc:type>Course</dc:type><dc:format>application/msword</dc:format><dc:format>application/vnd.ms-powerpoint</dc:format><dc:format>application/pdf</dc:format><dc:format>text/html</dc:format><dc:format>audio/mpeg</dc:format><dc:language>en-gb</dc:language><dc:relation></dc:relation><dc:rights><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></dc:rights><cc:license><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></cc:license><dc:description><![CDATA[As taught in 2006-2007 and 2007-2008.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. 

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include:

– norm topology and topological isomorphism; 
– boundedness of operators; 
– compactness and finite dimensionality; 
– extension of functionals; 
– weak*-compactness; 
– sequence spaces and duality; 
– basic properties of Banach algebras. 
  
Suitable for: Undergraduate students Level Four

Dr Joel F. Feinstein
School of Mathematical Sciences

Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham. After reading mathematics at Cambridge, he carried out research for his doctorate at Leeds. He held a postdoctoral position in Leeds for one year, and then spent two years as a lecturer at Maynooth (Ireland) before taking up a permanent position at Nottingham. His main research interest is in functional analysis, especially commutative Banach algebras. 

Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area.]]></dc:description><description><![CDATA[As taught in 2006-2007 and 2007-2008.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. 

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include:

– norm topology and topological isomorphism; 
– boundedness of operators; 
– compactness and finite dimensionality; 
– extension of functionals; 
– weak*-compactness; 
– sequence spaces and duality; 
– basic properties of Banach algebras. 
  
Suitable for: Undergraduate students Level Four

Dr Joel F. Feinstein
School of Mathematical Sciences

Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham. After reading mathematics at Cambridge, he carried out research for his doctorate at Leeds. He held a postdoctoral position in Leeds for one year, and then spent two years as a lecturer at Maynooth (Ireland) before taking up a permanent position at Nottingham. His main research interest is in functional analysis, especially commutative Banach algebras. 

Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area.]]></description><dc:date>2010-03-10</dc:date><dc:title>Functional analysis</dc:title><dc:creator>Feinstein Joel F. Dr</dc:creator><dc:publisher>University of Nottingham</dc:publisher><dc:subject>ukoer</dc:subject><dc:subject>Functional analysis, Normed spaces</dc:subject><dc:subject>Banach spaces</dc:subject><dc:subject>Bounded linear operators</dc:subject><dc:subject>dual spaces</dc:subject><dc:subject>commutative Banach algebras</dc:subject><dc:subject>complete metric spaces</dc:subject><dc:subject>open mapping theorem</dc:subject><dc:subject>closed graph theorem</dc:subject><dc:subject>uniform boundedness</dc:subject></item><item><category>UNow</category><title>Functional analysis 2010</title><link>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c9eec1dc-8c27-9949-dc16-2728edf6c994</link><pubDate>Thu, 16 Dec 2010 11:54:40 GMT</pubDate><guid isPermaLink='true'>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c9eec1dc-8c27-9949-dc16-2728edf6c994</guid><dc:contributor>University Of Nottingham</dc:contributor><dc:type>Course</dc:type><dc:format>application/msword</dc:format><dc:format>text/html</dc:format><dc:format>undefined</dc:format><dc:language>en-gb</dc:language><dc:relation></dc:relation><dc:rights><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></dc:rights><cc:license><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></cc:license><dc:description><![CDATA[This is a module framework. It can be viewed online or downloaded as a zip file.

As taught Autumn semester 2010.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. 

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include:

– norm topology and topological isomorphism; 
– boundedness of operators; 
– compactness and finite dimensionality; 
– extension of functionals; 
– weak*-compactness; 
– sequence spaces and duality; 
– basic properties of Banach algebras. 

Suitable for: Undergraduate students Level Four

Dr Joel F. Feinstein
School of Mathematical Sciences

Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham. After reading mathematics at Cambridge, he carried out research for his doctorate at Leeds. He held a postdoctoral position in Leeds for one year, and then spent two years as a lecturer at Maynooth (Ireland) before taking up a permanent position at Nottingham. His main research interest is in functional analysis, especially commutative Banach algebras. 

Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area.
]]></dc:description><description><![CDATA[This is a module framework. It can be viewed online or downloaded as a zip file.

As taught Autumn semester 2010.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. 

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include:

– norm topology and topological isomorphism; 
– boundedness of operators; 
– compactness and finite dimensionality; 
– extension of functionals; 
– weak*-compactness; 
– sequence spaces and duality; 
– basic properties of Banach algebras. 

Suitable for: Undergraduate students Level Four

Dr Joel F. Feinstein
School of Mathematical Sciences

Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham. After reading mathematics at Cambridge, he carried out research for his doctorate at Leeds. He held a postdoctoral position in Leeds for one year, and then spent two years as a lecturer at Maynooth (Ireland) before taking up a permanent position at Nottingham. His main research interest is in functional analysis, especially commutative Banach algebras. 

Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area.
]]></description><dc:date>2010-12-16</dc:date><dc:title>Functional analysis 2010</dc:title><dc:creator>Feinstein Joel Dr</dc:creator><dc:publisher>University of Nottingham</dc:publisher><dc:subject>ukoer</dc:subject><dc:subject>module code G14FUN </dc:subject><dc:subject>functional analysis</dc:subject><dc:subject>normed spaces</dc:subject><dc:subject>Banach spaces</dc:subject><dc:subject>Bounded linear operators</dc:subject><dc:subject>dual spaces</dc:subject><dc:subject>commutative Banach algebras</dc:subject><dc:subject>complete metric spaces</dc:subject><dc:subject>open mapping theorem</dc:subject></item><item><category>UNow</category><title>Heuristic local search tutorial</title><link>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=5ade2b04-6d82-79cf-24b1-236084d32121</link><pubDate>Fri, 28 Oct 2011 11:46:57 GMT</pubDate><guid isPermaLink='true'>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=5ade2b04-6d82-79cf-24b1-236084d32121</guid><dc:contributor>University Of Nottingham</dc:contributor><dc:type>Course</dc:type>text/html<dc:language>en-gb</dc:language><dc:relation></dc:relation><dc:rights><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></dc:rights><cc:license><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></cc:license><dc:description><![CDATA[The Problem:

Real-world problems are usually (if not always) considered hard to be solved because:

* Problems cannot always be represented and solved with a straightforward mathematical approach.
* A lot of parameters and constraints are involved.
* The number of possible solutions to a problem can be huge.
* Good solutions need to be found fast
* Checking every possible solution, for finding the best one, is time consuming and sometimes not  even feasible.
* The quality of a solution may vary according to time, thereby; more than one different solution might be required.

Heuristic Search:

Heuristic search refers to techniques with the aim of finding ‘good’ solutions for a very hard optimization and decision within a reasonable amount of computation time.

Heuristic Local Search:

* A basic heuristic search technique that works with complete solutions and seeks to find better solutions by making small local changes.
* All heuristic search techniques share similar concepts; e.g. the search space, feasible/infeasible solutions, neighbourhoods, and the relation(s) between neighbours.
* Good understanding of the above concepts and how a basic local search works, is a key knowledge necessary to anyone who wishes to learn and work with heuristic and metaheuristic algorithms for solving hard real-world optimization problems.
]]></dc:description><description><![CDATA[The Problem:

Real-world problems are usually (if not always) considered hard to be solved because:

* Problems cannot always be represented and solved with a straightforward mathematical approach.
* A lot of parameters and constraints are involved.
* The number of possible solutions to a problem can be huge.
* Good solutions need to be found fast
* Checking every possible solution, for finding the best one, is time consuming and sometimes not  even feasible.
* The quality of a solution may vary according to time, thereby; more than one different solution might be required.

Heuristic Search:

Heuristic search refers to techniques with the aim of finding ‘good’ solutions for a very hard optimization and decision within a reasonable amount of computation time.

Heuristic Local Search:

* A basic heuristic search technique that works with complete solutions and seeks to find better solutions by making small local changes.
* All heuristic search techniques share similar concepts; e.g. the search space, feasible/infeasible solutions, neighbourhoods, and the relation(s) between neighbours.
* Good understanding of the above concepts and how a basic local search works, is a key knowledge necessary to anyone who wishes to learn and work with heuristic and metaheuristic algorithms for solving hard real-world optimization problems.
]]></description><dc:date>2011-10-28</dc:date><dc:title>Heuristic local search tutorial</dc:title><dc:creator>Zapiti Maria</dc:creator><dc:publisher>University of Nottingham</dc:publisher><dc:subject>ukoer</dc:subject><dc:subject>combinatorial </dc:subject><dc:subject>objective functions</dc:subject><dc:subject>evalutaion</dc:subject><dc:subject>functions</dc:subject><dc:subject>evaluation functions</dc:subject><dc:subject>search space size</dc:subject><dc:subject>the knapsack problem</dc:subject></item><item><category>UNow</category><title>How and why we do mathematical proofs</title><link>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=9ceaa739-b7a0-3c49-fb87-52b6dcb47c5e</link><pubDate>Wed, 11 Nov 2009 10:31:04 GMT</pubDate><guid isPermaLink='true'>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=9ceaa739-b7a0-3c49-fb87-52b6dcb47c5e</guid><dc:contributor>University Of Nottingham</dc:contributor><dc:type>Course</dc:type><dc:format>application/pdf</dc:format><dc:format>audio/mpeg</dc:format><dc:language>en-gb</dc:language><dc:relation></dc:relation><dc:rights><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></dc:rights><cc:license><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></cc:license><dc:description><![CDATA[This is a module framework. It can be viewed online or downloaded as a zip file.

As taught in Autumn Semester 2009/10

The aim of this short unit is to motivate students to understand why we might want to do proofs (why proofs are important and how they can help us) and to help students with some of the relatively routine aspects of doing proofs.

In particular, the student will learn the following:

 * proofs can help you to really see why a result is true;

 * problems that are easy to state can be hard to solve (e.g. Fermat's Last Theorem);

 * sometimes statements which appear to be intuitively obvious may turn out to be false 
  (e.g. Simpson's paradox);

 * the answer to a question will often depend crucially on the definitions you are working with;

 * how to start proofs;

 * how and when to use definitions and known results.

The module is organised into three sections: Why; How (Part I); How (Part II)

With practice, students should become fluent in these routine aspects of writing proofs, and this will allow them to focus instead on the more creative and interesting aspects of constructing proofs. A practice sheet is included after students have completed all three sections. Each section is suitable for a different level of audience, as described below:

Suitable for: Foundation, undergraduate year one and undergraduate year two students 

Section 1: Why:  Anyone with a knowledge of elementary algebra and prime numbers, as may be obtained by studying A level mathematics. (Foundation)

Section 2: How (Part I) – Suitable for anyone with a knowledge of elementary algebra (including odd numbers, multiples of eight and the binomial theorem for expanding powers of (a+b)), and functions from the set of real numbers to itself (odd functions, even functions, multiplication and composition of functions). (Undergraduate year one)

Section 3: How (Part II) – Requires some background knowledge of convergence and divergence of series of real numbers. A revision sheet is available. (Undergraduate year two)


Dr Joel Feinstein, School of Mathematical Sciences

Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham. After reading mathematics at Cambridge, he carried out research for his doctorate at Leeds. He held a postdoctoral position in Leeds for one year, and then spent two years as a lecturer at Maynooth (Ireland) before taking up a permanent position at Nottingham. His main research interest is in functional analysis, especially commutative Banach algebras. 

Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area]]></dc:description><description><![CDATA[This is a module framework. It can be viewed online or downloaded as a zip file.

As taught in Autumn Semester 2009/10

The aim of this short unit is to motivate students to understand why we might want to do proofs (why proofs are important and how they can help us) and to help students with some of the relatively routine aspects of doing proofs.

In particular, the student will learn the following:

 * proofs can help you to really see why a result is true;

 * problems that are easy to state can be hard to solve (e.g. Fermat's Last Theorem);

 * sometimes statements which appear to be intuitively obvious may turn out to be false 
  (e.g. Simpson's paradox);

 * the answer to a question will often depend crucially on the definitions you are working with;

 * how to start proofs;

 * how and when to use definitions and known results.

The module is organised into three sections: Why; How (Part I); How (Part II)

With practice, students should become fluent in these routine aspects of writing proofs, and this will allow them to focus instead on the more creative and interesting aspects of constructing proofs. A practice sheet is included after students have completed all three sections. Each section is suitable for a different level of audience, as described below:

Suitable for: Foundation, undergraduate year one and undergraduate year two students 

Section 1: Why:  Anyone with a knowledge of elementary algebra and prime numbers, as may be obtained by studying A level mathematics. (Foundation)

Section 2: How (Part I) – Suitable for anyone with a knowledge of elementary algebra (including odd numbers, multiples of eight and the binomial theorem for expanding powers of (a+b)), and functions from the set of real numbers to itself (odd functions, even functions, multiplication and composition of functions). (Undergraduate year one)

Section 3: How (Part II) – Requires some background knowledge of convergence and divergence of series of real numbers. A revision sheet is available. (Undergraduate year two)


Dr Joel Feinstein, School of Mathematical Sciences

Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham. After reading mathematics at Cambridge, he carried out research for his doctorate at Leeds. He held a postdoctoral position in Leeds for one year, and then spent two years as a lecturer at Maynooth (Ireland) before taking up a permanent position at Nottingham. His main research interest is in functional analysis, especially commutative Banach algebras. 

Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area]]></description><dc:date>2009-11-11</dc:date><dc:title>How and why we do mathematical proofs</dc:title><dc:creator>Feinstein Joel F. Dr</dc:creator><dc:publisher>University of Nottingham</dc:publisher><dc:subject>UKOER</dc:subject><dc:subject>Proofs Definitions Prime Number</dc:subject><dc:subject>Perfect Square Simpson's Paradox</dc:subject><dc:subject>Sequence Series</dc:subject><dc:subject>Odd Functions Even Functions</dc:subject><dc:subject>Simpson's Paradox Strictly Increasing</dc:subject><dc:subject>Direct Proofs Comparison Test</dc:subject><dc:subject>Odd Numbers Multiples Eight</dc:subject><dc:subject>Pure Maths Pure Mathematics Pure math</dc:subject><dc:subject>Convergence Divergence</dc:subject></item><item><category>UNow</category><title>Mathematical analysis</title><link>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c6c045f6-286d-6b9f-b96c-36a998632fc3</link><pubDate>Wed, 07 Apr 2010 16:06:31 GMT</pubDate><guid isPermaLink='true'>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c6c045f6-286d-6b9f-b96c-36a998632fc3</guid><dc:contributor>University Of Nottingham</dc:contributor><dc:type>Course</dc:type><dc:format>application/msword</dc:format><dc:format>application/vnd.ms-powerpoint</dc:format><dc:format>application/pdf</dc:format><dc:format>text/html</dc:format><dc:language>en-gb</dc:language><dc:relation></dc:relation><dc:rights><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></dc:rights><cc:license><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></cc:license><dc:description><![CDATA[This is a module framework. It can be viewed online or downloaded as a zip file.

It is as taught in 2009-2010.

This module introduces mathematical analysis building upon the experience of limits of sequences and properties of real numbers and on calculus. It includes limits and continuity of functions between Euclidean spaces, differentiation and integration. 

A variety of very important new concepts are introduced by investigating the properties of numerous examples, and developing the associated theory, with a strong emphasis on rigorous proof. 

This module is suitable for study at undergraduate level 2.

Dr Joel Feinstein, School of Mathematical Sciences

Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham. After reading mathematics at Cambridge, he carried out research for his doctorate at Leeds. He held a postdoctoral position in Leeds for one year, and then spent two years as a lecturer at Maynooth (Ireland) before taking up a permanent position at Nottingham. His main research interest is in functional analysis, especially commutative Banach algebras. 

Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area.]]></dc:description><description><![CDATA[This is a module framework. It can be viewed online or downloaded as a zip file.

It is as taught in 2009-2010.

This module introduces mathematical analysis building upon the experience of limits of sequences and properties of real numbers and on calculus. It includes limits and continuity of functions between Euclidean spaces, differentiation and integration. 

A variety of very important new concepts are introduced by investigating the properties of numerous examples, and developing the associated theory, with a strong emphasis on rigorous proof. 

This module is suitable for study at undergraduate level 2.

Dr Joel Feinstein, School of Mathematical Sciences

Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham. After reading mathematics at Cambridge, he carried out research for his doctorate at Leeds. He held a postdoctoral position in Leeds for one year, and then spent two years as a lecturer at Maynooth (Ireland) before taking up a permanent position at Nottingham. His main research interest is in functional analysis, especially commutative Banach algebras. 

Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area.]]></description><dc:date>2010-04-07</dc:date><dc:title>Mathematical analysis</dc:title><dc:creator>Feinstein Joel F. Dr.</dc:creator><dc:publisher>University of Nottingham</dc:publisher><dc:subject>UKOER</dc:subject><dc:subject>mathematical analysis</dc:subject><dc:subject>real numbers</dc:subject><dc:subject>calculus</dc:subject><dc:subject>mathematics</dc:subject><dc:subject>sequences, limits, functions</dc:subject><dc:subject>Euclidian spaces</dc:subject><dc:subject>differentiation, integration</dc:subject></item><item><category>UNow</category><title>Quantitative economics 1</title><link>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=94ba936b-c0d1-36cf-f1a6-55aa0975b3ad</link><pubDate>Mon, 25 Jul 2011 10:54:08 GMT</pubDate><guid isPermaLink='true'>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=94ba936b-c0d1-36cf-f1a6-55aa0975b3ad</guid><dc:contributor>University Of Nottingham</dc:contributor><dc:type>Course</dc:type><dc:format>application/msword</dc:format><dc:format>text/html</dc:format><dc:language>en-gb</dc:language><dc:relation></dc:relation><dc:rights><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></dc:rights><cc:license><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></cc:license><dc:description><![CDATA[As taught Autumn Semester 2010.

There are no pre-requisites for this module. In particular, there is no assumption that Mathematics has previously been studied to A-level standard. In common with practically all subjects, theory in Economics is intrinsically mathematical, and those areas of Mathematics - principally differential calculus and its applications - most relevant to Economics will be covered. The mathematical techniques will be illustrated through economic applications, principally microeconomic, in part because a microeconomics module is taken in parallel with this one. 

It is important that you practice and try to understand the mathematical concepts presented to you within this module as they will be used throughout your undergraduate Economics degree. If you do not understand the mathematical concepts presented then seek help from the lecturer, the tutor or your QE1 tutor group. 

Module Code: L11106

This module is suitable for study at: undergraduate level 3 

Credits: 20 

Dr Dr Richard Kneller, School of Economics

]]></dc:description><description><![CDATA[As taught Autumn Semester 2010.

There are no pre-requisites for this module. In particular, there is no assumption that Mathematics has previously been studied to A-level standard. In common with practically all subjects, theory in Economics is intrinsically mathematical, and those areas of Mathematics - principally differential calculus and its applications - most relevant to Economics will be covered. The mathematical techniques will be illustrated through economic applications, principally microeconomic, in part because a microeconomics module is taken in parallel with this one. 

It is important that you practice and try to understand the mathematical concepts presented to you within this module as they will be used throughout your undergraduate Economics degree. If you do not understand the mathematical concepts presented then seek help from the lecturer, the tutor or your QE1 tutor group. 

Module Code: L11106

This module is suitable for study at: undergraduate level 3 

Credits: 20 

Dr Dr Richard Kneller, School of Economics

]]></description><dc:date>2011-07-25</dc:date><dc:title>Quantitative economics 1</dc:title><dc:creator>Kneller Richard Dr</dc:creator><dc:publisher>University of Nottingham</dc:publisher><dc:subject>L11106</dc:subject><dc:subject>ukoer</dc:subject><dc:subject>calculus</dc:subject><dc:subject> microeconomic concepts</dc:subject></item><item><category>UNow</category><title>Quantum field theory</title><link>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=15d27091-3d0b-f39d-928a-78eb359f90d5</link><pubDate>Mon, 16 Nov 2009 15:46:29 GMT</pubDate><guid isPermaLink='true'>http://unow.nottingham.ac.uk/resources/resource.aspx?hid=15d27091-3d0b-f39d-928a-78eb359f90d5</guid><dc:contributor>University Of Nottingham</dc:contributor><dc:type>Course</dc:type><dc:format>application/pdf</dc:format><dc:language>en-gb</dc:language><dc:relation></dc:relation><dc:rights><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></dc:rights><cc:license><![CDATA[Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a <a target="blank" href="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/">Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)</a>]]></cc:license><dc:description><![CDATA[This is a module framework. It can be viewed online or downloaded as a zip file.

Last taught in Spring Semester 2006

A compilation of fourteen lectures in PDF format on the subject of quantum field theory.  This module is suitable for 3rd or 4th year undergraduate and postgraduate level learners.

Suitable for year 3/4 undergraduate and postgraduate study.

Dr Kirill Krasnov, School of Mathematical Sciences

Dr Kirill Krasnov is a Lecturer at the University of Nottingham. After studying physics in Kiev, Ukraine, he carried out research for his doctorate at Pennsylvania State University, USA and then held post-doctoral positions at University of California, Santa Barbara and Max Planck Institute for Gravitational Physics, Germany. His main research interest is in the field of quantum gravity. Dr Krasnov is a holder of an EPSRC Advanced Fellowship.

]]></dc:description><description><![CDATA[This is a module framework. It can be viewed online or downloaded as a zip file.

Last taught in Spring Semester 2006

A compilation of fourteen lectures in PDF format on the subject of quantum field theory.  This module is suitable for 3rd or 4th year undergraduate and postgraduate level learners.

Suitable for year 3/4 undergraduate and postgraduate study.

Dr Kirill Krasnov, School of Mathematical Sciences

Dr Kirill Krasnov is a Lecturer at the University of Nottingham. After studying physics in Kiev, Ukraine, he carried out research for his doctorate at Pennsylvania State University, USA and then held post-doctoral positions at University of California, Santa Barbara and Max Planck Institute for Gravitational Physics, Germany. His main research interest is in the field of quantum gravity. Dr Krasnov is a holder of an EPSRC Advanced Fellowship.

]]></description><dc:date>2009-11-16</dc:date><dc:title>Quantum field theory</dc:title><dc:creator>Krasnov K. Dr</dc:creator><dc:publisher>University of Nottingham</dc:publisher><dc:subject>UKOER</dc:subject><dc:subject>Quantum Field Theory</dc:subject><dc:subject>Relativistic Fields</dc:subject><dc:subject>Quantization</dc:subject><dc:subject>Feynman Path Integral</dc:subject><dc:subject>Renormalization</dc:subject><dc:subject>Physical Sciences</dc:subject><dc:subject>Physics</dc:subject><dc:subject>Mathematical and Theoretical Physics</dc:subject></item></channel></rss>