Infinite Sequences & Series

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Infinite Sequences & Series

SAT Score Range

•

8 sessions

•

+27

This series ended on March 1, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

We'll cover the entire unit on infinite sequences and series in Khan Academy's AP Calc BC. Every session will involve going over lots of examples together and giving you all opportunities to practice and ask questions! Basic knowledge of sequences and calculus (derivatives & integrals) is helpful, but not entirely necessary.

Tutored by

Benjamin J 🇺🇸

Certified in 5 topics

View Profile

I'm a high school senior interested in math, science, and engineering. I'm happy to help with math or any other topics anyone needs help with!

Schedule

✋ ATTENDANCE POLICY

No strict attendance policy. I hope you can attend as many sessions as possible, though, and there is a possibility that it would be difficult to follow along with later sessions if you miss a session.

SESSION 1

13

Feb

SESSION 1

Infinite sequences and series

Sun 3:00 AM - 4:00 AM UTCFeb 13, 3:00 AM - 4:00 AM UTC

We'll introduce sequences and series, what convergence and divergence mean, and some basics of how to determine if a series converges or diverges. We'll also cover arithmetic vs. geometric sequences, and partial sums.

SESSION 2

17

Feb

SESSION 2

Infinite sequences and series

Thu 2:30 AM - 3:30 AM UTCFeb 17, 2:30 AM - 3:30 AM UTC

We'll go over the n-th term, integral, and p-series tests for convergence and divergence.

SESSION 3

18

Feb

SESSION 3

Infinite sequences and series

Fri 2:30 AM - 3:30 AM UTCFeb 18, 2:30 AM - 3:30 AM UTC

We'll go over the comparison, alternating series, and ratio tests for convergence/divergence, as well as determining absolute or conditional convergence/divergence.

SESSION 4

20

Feb

SESSION 4

Infinite sequences and series

Sun 3:00 AM - 4:00 AM UTCFeb 20, 3:00 AM - 4:00 AM UTC

We'll go over Taylor and McLaurin polynomial series for functions, with plenty of examples of practice with different types of functions, as well as applications to problems.

SESSION 5

24

Feb

SESSION 5

Infinite sequences and series

Thu 2:30 AM - 3:30 AM UTCFeb 24, 2:30 AM - 3:30 AM UTC

We'll go over error bands for series: alternating series error bands, and Lagrange error bands. We'll also cover how to find the radius/interval of convergence for a power series.

SESSION 6

25

Feb

SESSION 6

Infinite sequences and series

Fri 2:30 AM - 3:30 AM UTCFeb 25, 2:30 AM - 3:30 AM UTC

Optional review/office hours session. I'll answer any questions about any topic within my series about sequences and series, and I can go over any topics that we don't end up having time to cover throughout the sessions.

SESSION 7

26

Feb

SESSION 7

Infinite sequences and series

Sat 2:15 PM - 3:15 PM UTCFeb 26, 2:15 PM - 3:15 PM UTC

I'll continue going on Taylor series and error bounds, the topics I didn't have time to get to in the series so far. Feel free to bring questions or anything you'd like to go over!

SESSION 8

1

Mar

SESSION 8

Infinite sequences and series

Tue 12:30 AM - 1:30 AM UTCMar 1, 12:30 AM - 1:30 AM UTC

I'll continue going on Taylor series and error bounds, the topics I didn't have time to get to in the series so far. Feel free to bring questions or anything you'd like to go over! I might add more sessions to this series after this one if we don't finish everything in the Khan Academy unit in this session.

Public Discussion

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Feb 13 - Mar 1

3 weeks

60 mins

/ session

SCHEDULE

Sundays

3:00AM

Thursdays

2:30AM

Fridays

2:30AM