Mathematical Analysis

Mathematical Analysis

Dr Joel Feinstein

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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. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c6c045f6-286d-6b9f-b96c-36a998632fc3 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.
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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. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c6c045f6-286d-6b9f-b96c-36a998632fc3 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.
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Lecture 21 - (for iPod) C...

04 Dec 2011 | 53 mins 34 secs

Lecture 21 - (for iP...

04 Dec 2011 | 53 mins 34 secs

Lecture 21 - Chapter 11

04 Dec 2011 | 53 mins 34 secs

Lecture 21 - Chapter...

04 Dec 2011 | 53 mins 34 secs

Lecture 20 - (for iPod) C...

04 Dec 2011 | 51 mins 50 secs

Lecture 20 - (for iP...

04 Dec 2011 | 51 mins 50 secs

Lecture 20 - Chapter 10, ...

04 Dec 2011 | 51 mins 50 secs

Lecture 20 - Chapter...

04 Dec 2011 | 51 mins 50 secs

Lecture 19b - (for iPod) ...

03 Dec 2011 | 21 mins 35 secs

Lecture 19b - (for i...

03 Dec 2011 | 21 mins 35 secs

Lecture 19b - Chapter 10,...

03 Dec 2011 | 21 mins 35 secs

Lecture 19b - Chapte...

03 Dec 2011 | 21 mins 35 secs

Lecture 19a - (for iPod) ...

03 Dec 2011 | 21 mins 53 secs

Lecture 19a - (for i...

03 Dec 2011 | 21 mins 53 secs

Lecture 19a - Chapter 9, ...

03 Dec 2011 | 21 mins 53 secs

Lecture 19a - Chapte...

03 Dec 2011 | 21 mins 53 secs

Workshop 10 - (for iPod) ...

03 Dec 2011 | 27 mins 18 secs

Workshop 10 - (for i...

03 Dec 2011 | 27 mins 18 secs

Workshop 10 - Examples Cl...

03 Dec 2011 | 27 mins 18 secs

Workshop 10 - Exampl...

03 Dec 2011 | 27 mins 18 secs

Lecture 18 - (for iPod) C...

25 Nov 2011 | 46 mins 25 secs

Lecture 18 - (for iP...

25 Nov 2011 | 46 mins 25 secs

Lecture 18 - Chapter 9, p...

25 Nov 2011 | 46 mins 25 secs

Lecture 18 - Chapter...

25 Nov 2011 | 46 mins 25 secs

Lecture 17b - (for iPod) ...

21 Sep 2011 | 10 mins 37 secs

Lecture 17b - (for i...

21 Sep 2011 | 10 mins 37 secs

Lecture 17b - Chapter 9, ...

21 Sep 2011 | 10 mins 37 secs

Lecture 17b - Chapte...

21 Sep 2011 | 10 mins 37 secs

Lecture 17a - (for iPod) ...

21 Sep 2011 | 24 mins 19 secs

Lecture 17a - (for i...

21 Sep 2011 | 24 mins 19 secs