What are some introductory notes on integration?

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    Integration Notes
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Discussion Overview

The discussion revolves around introductory notes on integration, focusing on providing a foundational understanding of the topic. Participants share feedback on the notes, discuss their quality, and explore the tools used for creating the materials.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant notes that the provided notes serve as a solid introduction to integration, emphasizing that they are not analysis notes.
  • Another participant compares the notes favorably to a popular introductory calculus book, suggesting they are of equal or better quality.
  • A participant inquires about the software used to create the notes, specifically for formatting mathematical content and images.
  • The original poster mentions using LaTeX for equations and Inkscape for images in their notes.
  • One participant points out a potential issue with the notation for upper and lower integral symbols in specific equations, while expressing overall satisfaction with the notes.
  • Another participant suggests being cautious with the notation of dummy variables in integrals, recommending a different symbol for clarity.
  • The original poster acknowledges a typo regarding the use of different letters for dummy variables in integrals.

Areas of Agreement / Disagreement

Participants generally express positive feedback about the notes, but there are varying opinions on specific notational choices and potential improvements. No consensus is reached on the best practices for notation.

Contextual Notes

Some participants highlight specific areas in the notes that may require attention, such as notation consistency and typographical errors, but these points remain unresolved.

Who May Find This Useful

Individuals interested in learning about integration, those seeking reference materials for tutoring, and anyone looking for introductory resources in calculus may find this discussion beneficial.

hunt_mat
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For fun, I wrote some notes on integration which should provide a good solid introduction to the subject. They are not analysis notes but more of a first introduction to integration.

Any (constructive) comments or suggestions are always welcome.

Mat
 

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I just did a quick browse, but this is great, I had read calculus for dummies as my first introduction to the subject and this is of equal if not better quality. Plus its free! thanks a lot, this is great!
 
Looks great! If you don't mind me asking, what programs did you use to make this...(i.e. for getting a nice math font, pictures, etc).
 
I am hoping to do some tutoring on the side and it helps if you have your own set of notes for things.

I used LaTeX to do the equations and things and I used inkscape for the pictures.
 
At P.5, the symbols for the upper and lower integral at eq. (11) and (13) are just the normal integral sign. Apart from that, I don't see any problems. Good work!
 
Cheers.
 
I have been compiling a sets of notes in certain things on my website: http://hyperkahler.co.uk/maths-tuition/learning-materials/
 
Last edited by a moderator:
shape function:

it is to find the field variables at any point which is in terms of nodes
field variables are=displacements,rotations,e.t.c
 
I think this is really good, both as a reference to integration methods and as theory. One thing I could think of is to be careful about \int _a ^x f(x) dx, to have a different symbol for the dummy variable.
 
  • #10
I make this explicit at the bottom of page 5, I see one typo with I haven't done this but I have used a different letter in other integrals.
 
  • #11
Thanks!
 

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