Here is the video for this episode:
Here are the links for this video:
Introduction
Perfect numbers: https://www.britannica.com/science/perfect-number
Quote: https://matheducators.stackexchange.com/questions/4045/why-do-we-need-perfect-numbers#:~:text=The%20primes%20are%20a%20good,%22playground%22%20for%20the%20interested.
What other people think
Reddit forum discussion: https://www.reddit.com/r/education/comments/b3js8r/advanced_math_is_useless/
Apparently many people have ‘math anxiety’. Here’s something about that: https://www.cne.psychol.cam.ac.uk/what-is-mathematics-anxiety
Why students hate math: https://www.oxfordlearning.com/why-kids-hate-math-how-to-help/
H1 maths syllabus: https://www.moe.gov.sg/docs/default-source/document/education/syllabuses/sciences/files/2020-pre-university-h1-mathematics.pdf
Stuff that’s useful for everyone
P-test definition: https://www.investopedia.com/terms/p/p-test.asp
Example of using a statistical analysis for the wrong thing:
https://youtu.be/etx0k1nLn78 and https://youtu.be/aokNwKx7gM8
Example of p-hacking: https://www.axios.com/cornell-scientist-wansink-data-false-positive-headlines-6bb4fb44-c1fd-47ec-b843-ff0f8dba7adc.html
More specialized math
Calculus: https://en.wikipedia.org/wiki/Calculus#Applications
Basics on vectors/matrices: https://www.statlect.com/matrix-algebra/vectors-and-matrices
How to do Gauss-Jordan: https://online.stat.psu.edu/statprogram/reviews/matrix-algebra/gauss-jordan-elimination
Info on finite element analysis: https://www.open.edu/openlearn/science-maths-technology/introduction-finite-element-analysis/content-section-1
Number theory in cryptography: https://www.math.utk.edu/~finotti/papers/grad.pdf (i know you prob won’t read this but i think it’ll be quite comprehensive)
Graph theory: https://www.britannica.com/topic/graph-theory
Bioinformatics using graph theory (pls don’t read unless you actually want to learn this stuff): http://genetics.cs.ucla.edu/cs124/lecture/Lecture8.pdf
String theory: https://en.wikipedia.org/wiki/String_theory
Knot theory uses: https://www.sciencedaily.com/releases/2016/02/160210170411.htm
Recreational mathematics
Game theory: https://www.britannica.com/science/game-theory
Recre maths: https://en.wikipedia.org/wiki/Recreational_mathematics
Pascal’s triangle: https://www.mathsisfun.com/pascals-triangle.html
Fractal uses: https://kluge.in-chemnitz.de/documents/fractal/node2.html
Klein bottle, aka the 4d mobius: https://en.wikipedia.org/wiki/Klein_bottle
Article on klein bottle: https://www.nsf.gov/discoveries/disc_summ.jsp?cntn_id=112392
Penrose tilings and quasicrystals: http://nautil.us/issue/13/symmetry/impossible-cookware-and-other-triumphs-of-the-penrose-tile
Wiki quasicrystals: https://en.wikipedia.org/wiki/Quasicrystal