Precalculus

Unit 8 - Series

Lesson 1 - Summation

In this lesson we learn what summation notation (Sigma) is, how to expand the sum, and how to write a series in sigma notation.


Here is a copy of the worksheet:

https://drive.google.com/open?id=0B3LPv5vojhfHU2V1RTRtdmtaaWc&authuser=0


Here is a video of the notes:

01 Summation Notation Video Notes

Lesson 2 - Series

In this lesson, we learn the difference between a sequence and a series. We also learn what a partial sum is, and how to find it.


Here is a copy of the notes:

https://drive.google.com/file/d/0B3LPv5vojhfHd1I1enhtR1RYR0U/view?usp=sharing


Here is a copy of the worksheet:

https://drive.google.com/file/d/0B3LPv5vojhfHZTNFTUdXdlJudVE/view?usp=sharing


Here is a video of the notes:

02 Series Video Notes

Lesson 3 - Arithmetic Series

In this lesson, we derive the formula for finding the nth partial sum of an arithmetic series.


Here is a copy of the note sheet:

https://drive.google.com/open?id=0B3LPv5vojhfHNUkydm9wUVhtOFk&authuser=0


Here is a copy of the worksheet:

https://drive.google.com/open?id=0B3LPv5vojhfHVGFsUWJfS3oybjA&authuser=0


Here is a video of the notes:

Arithmetic Series Video Notes

Lesson 4 - Finite Geometric Series

In this lesson, we use the formula for finding the sum of a Finite Geometric Series.


Here is a copy of the worksheet:

https://drive.google.com/open?id=0B3LPv5vojhfHcE5nak9PdzRoR00&authuser=0


Here is a video of the notes:

08 04 Finite Geometric Series Video Note

Lesson 5 - Infinite Series

In this lesson, we learn how and when we can find the sum of an infinite series.


Here is a copy of the worksheet:

https://drive.google.com/file/d/0B3LPv5vojhfHWnJPdjV5R2t6ejQ/view?usp=sharing



Here is a video of the notes:

05 Infinite Sum Video Notes

Lesson 6 - Binomial Expansion

In this lesson, we discuss Pascal's Triangle, we use the patterns established by Pascal's Triangle to expand binomials and we find specific terms in a binomial expansion given certain information.


Here is a copy of the notes:

https://drive.google.com/file/d/0B3LPv5vojhfHU0FTM3U3RC05R0U/view?usp=sharing


Here is a copy of the worksheet:

https://drive.google.com/file/d/0B3LPv5vojhfHQXFUcEZneldIb1U/view?usp=sharing

Series Test Review

In these lessons, we review for the Series Unit Test that will be on Wednesday, May 13.


Here is a blank copy of the worksheet:

https://drive.google.com/file/d/0B3LPv5vojhfHZVF3SkhYYXhRV1k/view?usp=sharing


Here is a copy of the work:

https://drive.google.com/file/d/0B3LPv5vojhfHR2xTVnNuaVZOVXc/view?usp=sharing


Here are some videos of the worksheet:

Series Review Part 1
Series Review Part 2