80 episodes

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.

Mathematical Analysis University of Nottingham

    • Courses
    • 4.0, 7 Ratings

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.

    • video
    Workshop 1 - (for iPod)

    Workshop 1 - (for iPod)

    Discussion of the nature of the module, including some examples showing why we sometimes need to be careful.

    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

    • 22 min
    • video
    Revision Quiz

    Revision Quiz

    Mathematical analysis - Revision Quiz

    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

    • 21 min
    • video
    Revision Quiz - (for iPod)

    Revision Quiz - (for iPod)

    Mathematical analysis - Revision Quiz

    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

    • 21 min
    • video
    Lecture 1 - printed slides 1 to 17

    Lecture 1 - printed slides 1 to 17

    printed slides 1 to 17

    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

    • 46 min
    • video
    Workshop 1

    Workshop 1

    Discussion of the nature of the module, including some examples showing why we sometimes need to be careful.

    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

    • 22 min
    • video
    Lecture 10a - (for iPod) Chapter 5, printed slide 12 (end of chapter)

    Lecture 10a - (for iPod) Chapter 5, printed slide 12 (end of chapter)

    Lecture 10a - (for iPod) Chapter 5, printed slide 12 (end of chapter)

    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

    • 26 min

Customer Reviews

4.0 out of 5
7 Ratings

7 Ratings

Wickyf ,

First MA course online!

It seems to be the online course on MA. I am preparing for my graduate school and it is surely a sugar for my summer term!

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