Please be reminded that the lecture notes from Week 8 up to the end are contained and updated in these two files: Notes for Sequence and Series (Week 8-10) Power Series, Taylor and Maclaurin Series (Week 11-12) Also, you should…

Please be reminded that the lecture notes from Week 8 up to the end are contained and updated in these two files: Notes for Sequence and Series (Week 8-10) Power Series, Taylor and Maclaurin Series (Week 11-12) Also, you should…

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So we did cover most of the final part of the notes (see previous post for the file) except the last two examples showing how to prove a Taylor series converges to the function it represents (as we always expect…

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The file taylor is now updated to cover everything I want to teach for Taylor and Maclaurin series. The marathon is coming to an end soon. I will further double check the typed notes we have so far and upload a revision…

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1. If you still find yourself still arguing about how the general term is going to zero, instead of the nature of the general term, like: the general term is exactly the form of some known series (geometric and p-series)…

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Lecture Notes are already posted, no major changes. Hi everybody For solutions to today’s quiz, see HW9, Section 11.3 Q1: Q9 Q2: Q25 HW9, Section 11.4 Q3: Q31 HW10, Section 11.6 Q4: Q17 Q5: Q27 I am not posting separate…

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Notes already uploaded, by expanding the previous file taylor . Most probably we won’t be able to cover everything shown. It can be helpful to your note taking if you print this file out and bring it along.

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Today we finished the last example on Ratio Test and introduced Power Series: taylor As suggested by the name of the file, our ultimate goal is to understand Taylor Series representations of functions.

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Today we covered Alternating Series again and then most of the examples on Ratio Test. (Section 11.5-11.6) wk10day20 The only example that is missing bridges Ratio Test to the next topic: Power Series (Section 11.8) The combined file: notes_seq_series has…

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For some reasons, I didn’t have the book with me and I wrote the notes on top of my head, (plus the sleep-deprived condition after MT II marking…), then as expected, I made a couple of mistakes, including a really…

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