# Calculus Videos: Series and Sequences

### Course Description

In this course, Calculus Instructor Patrick gives 30 video lessons on Series and Sequences. Some of the Topics covered are: Convergence and Divergence, Geometric Series, Test for Divergence, Telescoping Series, Integral Test, Limit and Direct Comparison Test, Alternating Series, Alternating Series Estimation Theorem, Ratio Test, Power Series, Taylor and MacLaurin Series, Taylor's Remainder Theorem (Taylor's Inequality), Binomial Series, and many more.

Tags: Math Calculus Math

Calculus Instructor Patrick in Lesson 1: Sequence: Convergence and Divergence (Part 1).

16 ratings

### Video Lectures & Study Materials

# Lecture Play Lecture
1 Sequence: Convergence and Divergence (Part 1) Play Video
2 Sequences: Converging or Diverging (Part 2) Play Video
3 Series: Geometric Series and the Test for Divergence Play Video
4 Geometric Series: Fraction Representation Play Video
5 Examples of Geometric Series and the Test for Divergence (Part 1) Play Video
6 Examples of Geometric Series and the Test for Divergence (Part 2) Play Video
7 Telescoping Series Play Video
8 Series Diverges: Using Partial Sums Play Video
9 Integral Test for Series Play Video
10 Using the Integral Test for Series: Example 1 Play Video
11 Using the Integral Test for Series: Example 2 Play Video
12 Using the Integral Test for Series: Example 3 Play Video
13 Series: Limit and Direct Comparison Test Play Video
14 Series: Limit and Direct Comparison Test Examples Play Video
15 Series: Limit and Direct Comparison Test Examples (cont.) Play Video
16 Alternating Series (Part 1) Play Video
17 Alternating Series (Part 2) Play Video
18 Alternating Series Estimation Theorem Play Video
19 Ratio Test to Determine if a Series Converges (Ex. 1) Play Video
20 Ratio Test to Determine if a Series Converges (Ex. 2) Play Video
21 Root Test for Series Play Video
22 Power Series Representation of Functions Play Video
22 Power Series: Interval of Convergence Play Video
23 Differentiating and Integrating Power Series Play Video
24 Power Series: Multiplying and Dividing Play Video
25 Taylor and MacLaurin Series (Ex. 1) Play Video
26 Taylor and MacLaurin Series (Ex. 2) Play Video
27 Taylor's Remainder Theorem or Taylor's Inequality Play Video
28 The Binomial Series (Ex. 1) Play Video
29 The Binomial Series (Ex. 2) Play Video

sidda basha wrote 3 years ago.
please send me this all vidoes in my gmail
account..............
this videos are amazing..................

SAM KUMBSON wrote 3 years ago.
Three questions 1,2, and 3 on exercise 11.7 on the JAMES
STEWAET TEXT BOOK 6 EDITION

Subbiah wrote 3 years ago.
n!/n^n will be less than 1/n too So cant we conclude that
the original series diverges. Why do you select the last two
terms (2/n^2) and say the series converges?

yosef wrote 3 years ago.
this is wht i want

hayelom wrote 3 years ago.
thanks for this!

hayelom wrote 3 years ago.
thanks for this.

hayelom wrote 3 years ago.
FOR THIS THANKS!

hayelom wrote 3 years ago.
thanks!

sean wrote 4 years ago.
why 2. unless its series sin n - 1

mohsen wrote 4 years ago.
Hi

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