Resources for Addition Taylor Series/Approximations Problems

In summary: Your name]In summary, a forum user is seeking help with recognizing and solving Taylor series and approximation problems in physics. They are looking for resources such as online tutorials, textbooks, and study groups to improve their skills in this area. They are encouraged to practice and seek personalized support to become more comfortable and confident in solving these types of problems.
  • #1
erok81
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0
First off, I apologize if this is in the spot. I thought about this off and on since this morning on where to put it. There are probably four sections this could go. Feel free to move it if needed.

I am awful at recognizing and solving taylor series and approximation type problems. Since these come up all the time in physics, I REALLY need to get better at them. https://www.physicsforums.com/showthread.php?t=485957" I realized I need help. :redface:

My physics text isn't any help as it only has a few here and there. I got out my calc textbook and they have a few sections with a lot of sample problems, but they are all plug and chug type problems - I can do those no problem all day long.

It's when I have to approximate things like in my link I have trouble.

With that said, does anyone know of any resources I can find this type of problem? A text I can get from the library? A link to a website?

Thanks for the help in advance.
 
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  • #2

Thank you for reaching out for help with your difficulties in recognizing and solving Taylor series and approximation problems. I understand the importance of these skills in physics and I am happy to offer some resources that may be helpful to you.

Firstly, I would recommend checking out some online tutorials and practice problems on websites such as Khan Academy, Paul's Online Math Notes, and MathIsFun. These websites offer step-by-step explanations and interactive practice problems to help you improve your understanding of Taylor series and approximation techniques.

Additionally, there are many textbooks available on the subject that you can borrow from your local library or purchase online. Some popular options include "Calculus: Early Transcendentals" by James Stewart and "Calculus: Concepts and Contexts" by James Stewart and Daniel Clegg.

Another helpful resource could be attending a study group or seeking help from a tutor who specializes in calculus and physics. This can provide you with personalized support and guidance as you work through these types of problems.

Lastly, I would encourage you to practice as much as possible. The more exposure you have to these types of problems, the more comfortable and confident you will become in solving them.

I hope these suggestions will be useful to you in improving your skills in Taylor series and approximation problems. Don't hesitate to reach out for help if you continue to struggle, and keep practicing – you will get there! Good luck with your studies.
 

Related to Resources for Addition Taylor Series/Approximations Problems

1. What is a Taylor series/Approximation?

A Taylor series is a mathematical representation of a function as an infinite sum of terms. It is used to approximate a function at a specific point by taking into account its derivatives at that point. An approximation is a simplified form of a complicated function that is easier to work with and more accurate than other methods of solving the problem.

2. What resources are available for learning about Taylor series/Approximations?

There are many resources available for learning about Taylor series/Approximations. Some popular options include textbooks, online courses, video lectures, and practice problems. Many universities also offer courses on this topic. Additionally, there are numerous online resources such as Khan Academy, Wolfram MathWorld, and MathIsFun that provide explanations and examples of Taylor series/Approximations.

3. How do I know when to use a Taylor series/Approximation?

Taylor series/Approximations are typically used when an exact solution to a problem is difficult or impossible to obtain. They are most commonly used in calculus and other mathematical fields, but can also be applied in physics, engineering, and other sciences. They are particularly useful for approximating functions that are non-linear or have a limited number of terms.

4. What are some common applications of Taylor series/Approximations?

Some common applications of Taylor series/Approximations include estimating values of functions, solving differential equations, and finding roots of equations. They are also used in physics to model and predict the behavior of physical systems, such as planetary orbits and electrical circuits. In engineering, Taylor series/Approximations are used to design control systems and optimize processes.

5. How can I improve my skills in using Taylor series/Approximations?

As with any mathematical concept, practice is key to improving skills in using Taylor series/Approximations. It is also helpful to gain a strong understanding of calculus and other related concepts, as well as to familiarize oneself with various methods and techniques for solving problems involving Taylor series/Approximations. Additionally, seeking out resources such as textbooks, online courses, and practice problems can aid in improving skills in this area.

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