iTunes U albums
Album: Mathematical Analysis
80 tracks
Description:
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.
Keywords:
mathematical analysis, real numbers, calculus, mathematics, sequences, limits, functions, Euclidian spaces, differentiation, integration
Category:
Mathematics
Subcategory:
Mathematics
Copyright:
Copyright (c) University of Nottingham
Language:
en
Explicit:
no
Author:
Dr Joel Feinstein
Owner:
The University of Nottingham
Owneremail:
itunesu@nottingham.ac.uk
Web page:
http://www.nottingham.ac.uk/mathematics
Image:
http://itunesu.nottingham.ac.uk/media/Mathematics/MathematicalAnalysis/images/math-an.jpg
Thumbnail:
http://itunesu.nottingham.ac.uk/media/Mathematics/MathematicalAnalysis/images/math-an.jpg
Feed URLs:
RSS: http://itunesu.nottingham.ac.uk/albums/71.rss,
Atom: http://itunesu.nottingham.ac.uk/albums/71.atom
Back to albums
Tracks
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Workshop 1 - (for iPod) |
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Revision Quiz |
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Revision Quiz - (for iPod) |
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Lecture 1 - printed slides 1 to 17 |
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Workshop 1 |
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Lecture 10a - (for iPod) Chapter 5, printed slide 12 (end of chapter) |
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Lecture 10b - Chapter 6, printed slides 1-4 |
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Lecture 10b - (for iPod) Chapter 6, printed slides 1-4 |
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Workshop 6 - How do we do proofs? (Part II) 2009-10 edition |
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Lecture 1 - (for iPod) - printed slides 1 to 17 |
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Lecture 2a - printed slide 17 to end of chapter |
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Lecture 2a - (for iPod) - printed slide 17 to end of chapter |
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Lecture 2b - Chapter 2, printed slides 1 to 4 |
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Lecture 2b - (for iPod) Chapter 2, printed slides 1 to 4 |
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Workshop 2 - Why do we do proofs? |
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Workshop 2 - (for iPod) Why do we do proofs? |
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Lecture 3 - Chapter 2, printed slides 5 to 15 |
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Lecture 3 - (for iPod) Chapter 2, printed slides 5 to 15 |
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Lecture 4a - Chapter 2, printed slide 15 to end of chapter |
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Lecture 4a - (for iPod) Chapter 2, printed slide 15 to end of chapter |
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Lecture 4b - Chapter 3, printed slides 1-5 |
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Lecture 4b - (for iPod) Chapter 3, printed slides 1-5 |
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Workshop 3 - Examples Class 1 |
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Workshop 3 - (for iPod) Examples Class 1 |
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Lecture 5 - Chapter 3 printed slides 5-7 |
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Lecture 5 - (for iPod) printed slides 5-7 |
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Lecture 6 - Chapter 3, printed slide 7 to end of chapter |
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Lecture 6 - (for iPod) Chapter 3, printed slide 7 to end of chapter |
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Workshop 4 - How do we do proofs? (Part I) 2009-10 edition |
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Workshop 4 - (for iPod) How do we do proofs? (Part I) 2009-10 edition |
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Lecture 7 - Chapter 4 |
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Lecture 7 - (for iPod) Chapter 4 |
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Lecture 8a (for iPod) - Chapter 4, printed slide 6 to end of chapter |
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Lecture 8a - Chapter 4, printed slide 6 to end of chapter |
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Lecture 8b - Chapter 5, printed slides 1-2 |
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Lecture 8b (for iPod) - Chapter 5, printed slides 1-2 |
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Lecture 9 - Chapter 5, printed slides 2-12 |
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Lecture 9 - (for iPod) Chapter 5, printed slides 2-12 |
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Workshop 5 - Examples Class 2 |
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Workshop 5 - (for iPod) Examples Class 2 |
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Lecture 10a - Chapter 5, printed slide 12 (end of chapter) |
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Workshop 6 - (for iPod) How do we do proofs? (Part II) 2009-10 edition |
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Lecture 11 - Chapter 6, printed slides 5-11 |
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Lecture 11 - (for iPod) Chapter 6, printed slides 5-11 |
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Lecture 12a - Chapter 6, printed slide 11 to end of chapter |
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Lecture 12a - (for iPod) Chapter 6, printed slide 11 to end of chapter |
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Lecture 12b - Chapter 7, printed slides 1-3 |
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Lecture 12b - (for iPod) Chapter 7, printed slides 1-3 |
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Workshop 7 - Examples Class 3 |
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Workshop 7 - (for iPod) Examples Class 3 |
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Lecture 13a - Chapter 7, printed slides 3-7 |
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Lecture 13a - (for iPod) Chapter 7, printed slides 3-7 |
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Lecture 13b - Chapter 7, printed slides 8-13 |
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Lecture 13b - (for iPod) Chapter 7, printed slides 8-13 |
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Lecture 14a - Chapter 7, printed slide 14 to end of chapter |
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Lecture 14a - (for iPod) Chapter 7, printed slide 14 to end of chapter |
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Lecture 14b - Chapter 8, printed slides 1-3 |
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Lecture 14b - (for iPod) Chapter 8, printed slides 1-3 |
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Workshop 8 - Examples Class 4 |
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Workshop 8 - (for iPod) Examples Class 4 |
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Lecture 15 - Chapter 8, printed slides 4-12 |
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Lecture 15 - (for iPod) Chapter 8, printed slides 4-12 |
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Lecture 16 - Chapter 8, printed slides 13-16 |
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Lecture 16 - (for iPod) Chapter 8, printed slides 13-16 |
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Lecture 17a - Chapter 8, printed slide 16 to end of chapter |
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Lecture 17a - (for iPod) Chapter 8, printed slide 16 to end of chapter |
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Lecture 17b - Chapter 9, printed slides 1-3 |
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Lecture 17b - (for iPod) Chapter 9, printed slides 1-3 |
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Lecture 18 - Chapter 9, printed slides 3-8 |
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Lecture 18 - (for iPod) Chapter 9, printed slides 3-8 |
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Workshop 10 - Examples Class 6 |
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Workshop 10 - (for iPod) Examples Class 6 |
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Lecture 19a - Chapter 9, printed slide 8 to end of chapter |
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Lecture 19a - (for iPod) Chapter 9, printed slide 8 to end of chapter |
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Lecture 19b - Chapter 10, printed slides 1-7 |
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Lecture 19b - (for iPod) Chapter 10, printed slides 1-7 |
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Lecture 20 - Chapter 10, printed slide 8 to end of chapter |
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Lecture 20 - (for iPod) Chapter 10, printed slide 8 to end of chapter |
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Lecture 21 - Chapter 11 |
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Lecture 21 - (for iPod) Chapter 11 |
