Analysis 1 - Monotonic Sequences: Oxford Mathematics 1st Year Student Lecture

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This is the second lecture we're making available from Vicky Neale's Analysis 1 course for First Year Oxford Mathematics Students. Vicky writes:

"In general, trying to prove that a sequence converges can be quite hard, and doing it from the definition means having to know (or guess) what the limit is. But sometimes the world is a lovely place, and sometimes it's possible to show, quite straightforwardly, that a sequence converges, even without knowing what the limit might be..."

You can watch many other student lectures including two other lectures from this course via our main Student Lectures playlist (also check out specific student lectures playlists):

All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
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Thank you mam very useful. Please uploade whole course lectures.

harsh
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nadie más que Dra.Neale tenía que ser!!! motivante sus clases, así como que en el aula presencial te hace participar forever 😆

comingshoon
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Very good video!! Congrats and thanks!

manuelgonzales
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In one of my next births I want to be just like you Professor 🙏🏻 Ma'am at Oxford University. Just as intelligent, Talented and deeply knowledgeable 🙏🏻🙏🏻🙏🏻

Technically in this lifetime my subject is English Literature and so Oxford University is my Mecca and I pray one day to be a miniscule part of it in some way 🙏🏻🙏🏻🙏🏻 May GOD grant me my wishes...

Sincere regards,

reincarnatedprincess
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The first thing that students of Mathematics should learn is that Mathematics is an exact sciences and that Numbers have an end.

ababoumohamed
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The terminology 'increasing' for increasing-or-constant seems a poor choice. It jars with ordinary English usage. How about saying 'non-decreasing' for something that is constant or increasing and 'increasing' for something that is 'strictly increasing'. (Incidentally, 'always increasing' would have been more self-explanatory than 'strictly increasing' but I don't think either is necessary.)

matthewleitch
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Converges means it follows the definition

playgroundgames