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ExploreCalculusInfinite sequences and series

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Calculus

Infinite sequences and series

  • Defining convergent and divergent infinite series
  • Working with geometric series
  • The nth-term test for divergence
  • Integral test for convergence
  • Harmonic series and p-series
  • Comparison tests for convergence
  • Alternating series test for convergence
  • Ratio test for convergence
  • Determining absolute or conditional convergence
  • Alternating series error bound
  • Finding Taylor polynomial approximations of functions
  • Lagrange error bound
  • Radius and interval of convergence of power series
  • Finding Taylor or Maclaurin series for a function
  • Representing functions as power series

Small-group help sessions in "Infinite sequences and series"

Register for a session to review this topic with a small group of learners.

Calculus · series session

Infinite sequences and series

In-depth review of infinite sequences and series

Dylan P

0
Session ended.

Calculus · session

One on One with Richard L

Please don't join unless you are Richard L who asked me for one-one help on convergence tests. Thanks!

Garrett Z

0
Session ended.

Calculus · session

1 on 1 session with Venkata

Please don't join unless your are Venkata who asked for a one-one session with me.

Garrett Z

0
Session ended.

Calculus · session

Series

We'll go over tests for convergence, Taylor Series, and Error Bounds. This aligns with the AP Calculus BC curriculum.

Jonah K

0
Session ended.

Calculus · series session

Infinite sequences and series

Using the values we determined and our knowledge of derivatives in the first episode, to probe these functions further and figure out their values to arbitrary accuracy. This will likely be a 2 or 3 parter.

William W

0
Session ended.

Calculus · series session

Infinite sequences and series

Using the values we determined and our knowledge of derivatives in the first episode, to probe these functions further and figure out their values to arbitrary accuracy. This will likely be a 2 or 3 parter.

William W

0
Session ended.

Calculus · session

converge/diverge tests for mengmeng

the rest of the theorems and topics for diverging and converging series

Mariam S

0
Session ended.

Calculus · session

Infinite sequences help for Mengmeng

Answer Mengmeng's questions

Mariam S

1
Session ended.

Calculus · series session

Infinite sequences and series

In this session we'll learn about Infinite Series and Sequences, We'll solve some good questions and then we'll make the session short and have fun for the last 15 odd minutes of this last session on Calculus. Friendly Reminder - This session welcomes learners who already have completed Pre-Calculus and are now heading to Calculus and want to get a leg up on their classmates to have a brief overview and knowledge to what you will learn in AP Calc AB / BC.

Maharsh J

0
Session ended.

Calculus · series session

Infinite sequences and series

Series are sums of multiple terms. Infinite series are sums of an infinite number of terms. Don't all infinite series grow to infinity? It turns out the answer is no. Some infinite series converge to a finite value. Learn how this is possible, how we can tell whether a series converges, and how we can explore convergence in Taylor and Maclaurin series. --khanacademy

Amulya J

0
Session ended.

Calculus · session

Intro to Infinite Sequences and Series

Infinite series are one of the most beautiful topics in calculus. In this session, we will introduce infinite sequences and series, cover convergence and some convergence tests. We will also briefly look at some fascinating examples (such as the alternating harmonic series and the Basel problem) to get a taste of why infinite series are so interesting. Feel free to ask me any questions you have about infinite series or bring any infinite series problems you are having trouble with to the session! For this session, it will be helpful if you know about limits. However, knowledge of any other calculus topics (such as derivatives, integrals, or differential equations ) is not necessary.

Nikhil D

0
Session ended.

Calculus · session

Infinite sequences and series

Series are sums of multiple terms. Infinite series are sums of an infinite number of terms. Don't all infinite series grow to infinity? It turns out the answer is no. Some infinite series converge to a finite value. Learn how this is possible, how we can tell whether a series converges, and how we can explore convergence in Taylor and Maclaurin series. --khanacademy

Amulya J

0
Session ended.

Calculus · session

Infinite sequences and series

We'll go over practice problems involving the topics covered in this session.

Akshaya C

0
Session ended.

Calculus · session

Infinite sequences and series

Session for Kayla's request, but anyone is welcome to join. Feel free to bring any questions you might have!

Sri V

0
Session ended.

Calculus · session

Infinite sequences and series

Session for Kayla's request, but anyone is welcome to join. Feel free to bring any questions you might have!

Sri V

0
Session ended.

Calculus · session

Infinite sequences and series

We'll be talking about absolute and conditional convergence and different tests for convergence (divergence test, limit of partial sums, comparison test, alternating series test, ratio test etc.)

Victor H

5
Session ended.

Calculus · session

Infinite sequences and series

We'll go over practice problems involving the topics covered in this session.

Akshaya C

0
Session ended.

Calculus · session

Infinite sequences and series

We'll go over practice problems involving infinite sequences and series.

Akshaya C

0
Session ended.

Calculus · session

Infinite sequences and series

This session is specifically scheduled for Arya P, but anyone else is free to join as well. We'll look at Taylor series in this session.

Nikhil D

0
Session ended.

Calculus · session

Infinite sequences and series

We'll go through series and how they are used. While this session is one hour, we may go over because of the sheer amount of material. We will be following AP Calc BC curriculum. Remember to ask questions if you don't know anything!

Praneeth O

0
Session ended.

Calculus · series session

Infinite sequences and series

(The first fifteen minutes will be to briefly catch up on the previous session and answer your questions) I will discuss how to intuitively understand the topic, critically think about problems on the topic, and apply that in other subjects (Physics, Chemistry, Biology, Economics, etc.).

Abrar Zahin R

0
Session ended.

Calculus · series session

Infinite sequences and series

Welcome to the fourteenth and final session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Infinite Sequences and Series": power series, power series representations of functions, Maclaurin and Taylor series, alternating series error bound, and the Lagrange error bound.

Pranjal C

0
Session ended.

Calculus · series session

Infinite sequences and series

Welcome to the thirteenth session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Infinite Sequences and Series": definition of an infinite series, geometric series test, nth term test, integral test, harmonic/hyperharmonic series tests, basic comparison test, limit comparison test, ratio and root tests, and alternating series test.

Pranjal C

0
Session ended.

Calculus · session

Infinite sequences and series

In this session, we'll go over the basics of infinite series, including various ways to determine if a series is divergent or convergent.

Praneel S

0
Session ended.

That's it for now!

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