# Math General

## Math Guide (Credits to @Nicholas#4790)

## Algebra Review for IB (Credits to @AdventurousAndrew#7499)

# IA/EE

## Examples

- Math IA examples from IBO Publishing (with examiner's comments)
- Math SL IA on Solids of Revolution, scored 18/20 (From @Allan#3164)
- Math HL IA on Keplers Laws, scored 16/22 (From @CreativeUsername1#6400)
- Please contact at email: ibodiscord@gmail.com if you have available IAs or EEs to share

## Help

### Length

The official IB guidelines say the IA should be *approximately* 12 pages but the most important thing is the mathematical content (i.e. it's ok to be around that ballpark).

### Ideas

In my experience, the best ideas come from looking at something you are actually interested in, not necessarily something math related, it can be something in your real life, but make sure youâ€™re actually interested in it. So now that you have your thing, get more specific on what you want to do with it, like a specific end goal. Then from there you can easily work backwards and find out what math you need to do in order to get to your end goal (credits to @kallak#4644).

### Documents

Math HL IA Criteria - Very similar to Math SL Criteria, Criterion E differs slightly.

List of Notation - What symbols, characters, words should you use to describe mathematical properties and operations.

# YouTube Videos

## Welch Labs

Complex Numbers YouTube Playlist - Useful for **all HL levels of math.**

## 3 Blue 1 Brown

The IB syllabus is fairly strong overall in math, but a lot of things aren't explained fully. The underlying visual intuitions aren't explained well for calculus, nor are they well explained for vectors, at least in my experience. A youtuber known as 3blue1brown has two series that I highly recommend. They are called "essence of linear algebra" (playlist) and "essence of calculus" (playlist). These provide excellent animations and intuitive explanations of what are, quite frankly, confusing concepts. Watching videos is an excellent supplement to learning. However, it is not a replacement. Watch these, learn the underlying ideas, look at the pretty animations, pause and follow along as needed, but still do practice problems (credits to @Nicholas#4790).

### Should I watch these videos? Do I need to watch all of them?

(Exams in 2020 or earlier) vvv

For Math HL:

- Chapters 1-10 from the Essence of Calculus series covers the Calculus concepts for Math HL Core.
- If you are choosing the Calculus Option for Paper 3, Chapter 11 is required as well.
- Chapters 1, 6, 9, 10 from the Essence of Linear Algebra cover the required content for vectors in Math HL Core, however, for a full understanding of all concepts it is
*strongly*recommended to watch all Chapters from 1-10.

For Math SL:

- ### Not sure, someone who has taken Math SL, please fill up accordingly.

For Math Studies:

- ### Not sure, someone who knows Math Studies content, please fill up accordingly.

(Exams in 2021 or later) vvv

For Math AA HL:

- Chapter 1-11 from the Essence of Calculus series cover all the concepts, there is no option in AA HL.
- Chapters 1, 6, 9, 10 cover the required content for vectors in Math Core, however, for a full understand of all concepts it is
*strongly*recommended to watch all Chapters from 1-10. - Watching this series will be extremely useful for any students taking a Paper 3 in the new math curriculum. The concepts communicated are useful in training your mind to think creatively, and visually.

For Math AA SL:

- ### Not sure, someone who has taken Math SL, please fill up accordingly.

For Math AI HL:

- Chapters 1-10 from the Essence of Calculus series cover the Calculus concepts.
- Chapters 1-15 from the Essence of Linear Algebra series cover the vectors, and matrices content in AI HL.

For Math AI SL:

- ### Not sure, someone who knows Math Studies content, please fill up accordingly.