Material Needed for Power Series

In summary, the conversation is about the difficulty in understanding power series, as it involves a variable and the convergence of the series depends on its values. The speaker is looking for online resources to help with understanding power series, and another person recommends MIT's online lectures on the topic.
  • #1
bobber205
26
0
I'm in a "series and sequences" class. Up until power series, if I studied the material a decent amount and did a lot of practice problems, things made sense.

We got to power series today and I simply am not getting anything. I read the chapter in the book just now and it totally lost me.


It doesn't seem like a vastly more complicated affair than regular series. Am I right?
Are there any good resources on the net for this you guys could recommend?

Thanks!
 
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  • #2
bobber205 said:
It doesn't seem like a vastly more complicated affair than regular series. Am I right?
Are there any good resources on the net for this you guys could recommend?

Thanks!

it's more complicated than a series of constants because there's a variable involved, and convergence of the series depends on values of that variable. if you understand regular series, i guess power series is that next step though
 
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  • #3
Are there any good online resources? :)
 
  • #4
mit has lectures online:
http://ocw.mit.edu/OcwWeb/Mathematics/18-01Fall-2006/VideoLectures/detail/embed38.htm
http://ocw.mit.edu/OcwWeb/Mathematics/18-01Fall-2006/VideoLectures/detail/embed39.htm
 
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FAQ: Material Needed for Power Series

What is a power series?

A power series is an infinite sum of terms that involve increasing powers of a variable, often x.

What materials are needed for a power series?

The main materials needed for a power series are a variable (usually denoted as x), coefficients for each term, and an initial value or starting point for the series.

How is a power series used in science?

Power series are used in various branches of science, such as physics, engineering, and mathematics, to approximate functions and solve equations. They are also used in modeling and analyzing natural phenomena.

What are some common applications of power series?

Some common applications of power series include calculating derivatives and integrals, solving differential equations, and approximating functions such as trigonometric, exponential, and logarithmic functions.

What are the limitations of using power series?

Power series are limited in their applicability as they can only approximate functions within a certain range of values. Additionally, they may not accurately represent functions with singularities or discontinuities. They also require a large number of terms to achieve high levels of accuracy.

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