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=c6c045f6286d6b9fb96c36a998632fc3
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/mathan.jpg
Thumbnail:
http://itunesu.nottingham.ac.uk/media/Mathematics/MathematicalAnalysis/images/mathan.jpg
Feed URLs:
RSS: http://itunesu.nottingham.ac.uk/albums/71.rss,
Atom: http://itunesu.nottingham.ac.uk/albums/71.atom
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Tracks

Workshop 1  (for iPod) 

Revision Quiz 

Revision Quiz  (for iPod) 

Lecture 1  printed slides 1 to 17 

Workshop 1 

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

Lecture 10b  Chapter 6, printed slides 14 

Lecture 10b  (for iPod) Chapter 6, printed slides 14 

Workshop 6  How do we do proofs? (Part II) 200910 edition 

Lecture 1  (for iPod)  printed slides 1 to 17 

Lecture 2a  printed slide 17 to end of chapter 

Lecture 2a  (for iPod)  printed slide 17 to end of chapter 

Lecture 2b  Chapter 2, printed slides 1 to 4 

Lecture 2b  (for iPod) Chapter 2, printed slides 1 to 4 

Workshop 2  Why do we do proofs? 

Workshop 2  (for iPod) Why do we do proofs? 

Lecture 3  Chapter 2, printed slides 5 to 15 

Lecture 3  (for iPod) Chapter 2, printed slides 5 to 15 

Lecture 4a  Chapter 2, printed slide 15 to end of chapter 

Lecture 4a  (for iPod) Chapter 2, printed slide 15 to end of chapter 

Lecture 4b  Chapter 3, printed slides 15 

Lecture 4b  (for iPod) Chapter 3, printed slides 15 

Workshop 3  Examples Class 1 

Workshop 3  (for iPod) Examples Class 1 

Lecture 5  Chapter 3 printed slides 57 

Lecture 5  (for iPod) printed slides 57 

Lecture 6  Chapter 3, printed slide 7 to end of chapter 

Lecture 6  (for iPod) Chapter 3, printed slide 7 to end of chapter 

Workshop 4  How do we do proofs? (Part I) 200910 edition 

Workshop 4  (for iPod) How do we do proofs? (Part I) 200910 edition 

Lecture 7  Chapter 4 

Lecture 7  (for iPod) Chapter 4 

Lecture 8a (for iPod)  Chapter 4, printed slide 6 to end of chapter 

Lecture 8a  Chapter 4, printed slide 6 to end of chapter 

Lecture 8b  Chapter 5, printed slides 12 

Lecture 8b (for iPod)  Chapter 5, printed slides 12 

Lecture 9  Chapter 5, printed slides 212 

Lecture 9  (for iPod) Chapter 5, printed slides 212 

Workshop 5  Examples Class 2 

Workshop 5  (for iPod) Examples Class 2 

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

Workshop 6  (for iPod) How do we do proofs? (Part II) 200910 edition 

Lecture 11  Chapter 6, printed slides 511 

Lecture 11  (for iPod) Chapter 6, printed slides 511 

Lecture 12a  Chapter 6, printed slide 11 to end of chapter 

Lecture 12a  (for iPod) Chapter 6, printed slide 11 to end of chapter 

Lecture 12b  Chapter 7, printed slides 13 

Lecture 12b  (for iPod) Chapter 7, printed slides 13 

Workshop 7  Examples Class 3 

Workshop 7  (for iPod) Examples Class 3 

Lecture 13a  Chapter 7, printed slides 37 

Lecture 13a  (for iPod) Chapter 7, printed slides 37 

Lecture 13b  Chapter 7, printed slides 813 

Lecture 13b  (for iPod) Chapter 7, printed slides 813 

Lecture 14a  Chapter 7, printed slide 14 to end of chapter 

Lecture 14a  (for iPod) Chapter 7, printed slide 14 to end of chapter 

Lecture 14b  Chapter 8, printed slides 13 

Lecture 14b  (for iPod) Chapter 8, printed slides 13 

Workshop 8  Examples Class 4 

Workshop 8  (for iPod) Examples Class 4 

Lecture 15  Chapter 8, printed slides 412 

Lecture 15  (for iPod) Chapter 8, printed slides 412 

Lecture 16  Chapter 8, printed slides 1316 

Lecture 16  (for iPod) Chapter 8, printed slides 1316 

Lecture 17a  Chapter 8, printed slide 16 to end of chapter 

Lecture 17a  (for iPod) Chapter 8, printed slide 16 to end of chapter 

Lecture 17b  Chapter 9, printed slides 13 

Lecture 17b  (for iPod) Chapter 9, printed slides 13 

Lecture 18  Chapter 9, printed slides 38 

Lecture 18  (for iPod) Chapter 9, printed slides 38 

Workshop 10  Examples Class 6 

Workshop 10  (for iPod) Examples Class 6 

Lecture 19a  Chapter 9, printed slide 8 to end of chapter 

Lecture 19a  (for iPod) Chapter 9, printed slide 8 to end of chapter 

Lecture 19b  Chapter 10, printed slides 17 

Lecture 19b  (for iPod) Chapter 10, printed slides 17 

Lecture 20  Chapter 10, printed slide 8 to end of chapter 

Lecture 20  (for iPod) Chapter 10, printed slide 8 to end of chapter 

Lecture 21  Chapter 11 

Lecture 21  (for iPod) Chapter 11 