Other peoples' notes and courses
Paul's online notes
Amongst other things you will find A-level notes on algebra and trig as well as 1st year undergrad notes on calculus (a complete 1st year course) and
differential equations (1st order, 2nd order, Laplace transforms, systems of DEs, series solution to DEs, higgher order DEs, BVPs and Fouriers series, and introduction to PDEs).
Linear Algebra
This is the Khan Academy's Linear Algebra video course.
Immersive linear algebra
"The world's first linear algebra book with fully interactive figures."
PatrickJMT
Loads of videos from GCSE to A-level standard.
Interactive polyhedra
Amazing website which allows you to visualise, play around with, transform and manipulate polyhedral in 3D.
Gilbert Strang's linear algebra
A set of 34 videos making up an extensive 1st course on linear algebra. This is part of the MIT opencourseware.
Active Calculus
This site contains a complete course on single and multivariable calculus. You can read this online or download the pdf file for free.
Gilbert Strang's Calculus course
A set of 18 videos making up a 1st course in calculus. Also included is a free copy of the 1st edition of his calculus textbook. This is part of the MIT opencourseware.
Electricty and magnetism course
This is Walter Lewin's MIT video course, "8.02x: Physics II: Electricity and Magnetism", which is no longer on the MITopencourseware website, but can still be found on youtube.
This is such a good course I decided to include it here. If and when I get into more physic I'll create a separate webpage for this.
Linear Algebra by 3blue1brown
This is a short course on the concepts of linear algebra. Its content focuses on a 1st course in linear algebra, but instead of doing any of the "algebra" of
linear algebra, the author presents the conceptual aspects of the topic, with the help of graphics and animations at every stage.
Virtual nerd
"Over 1,500 video lessons covering Middle Grades Math through Algebra 2"
Analysis WebNotes
This is a complete course on real analysis by by John Orr.
Maths and multimedia
description to come
Mathigon
This site has a lot of interesting stuff pitched at school level, from year 7-9 to intermediate to A-level, as well as some recreational maths.
It seems to be a new website, and as of 12/2018 a lot of stuff is still to come.
Acoustics and vibrations animations
A great website from Daniel Russell with many animation illustrating different sound wave animations as well as modes of vibration of membranes.
ShareTechNote
A great set of notes on the ODEs of spring-mass systems, with many diagrams and explanation of what each term of the ODEs represent physically.
Tom Apostol - Calculus Volume 1: Exercise Solutions
Detailed worked solutions to Tom Apostol's Calculus volume 1, not by Tom Apostol himself, but by an independent researcher called RoRi. An incredible amount of work
has gone into this.
The Tau Manifesto
A website by Michael Hartl discussing why we should use 2*pi as our basic circle constant instead of pi.
Lucas VB
An excellent set of animations relating to maths and physics topics. Also check out his other website.
visualising complex numbers
This site goes through explaining and visualing complex numbers. Contains some very good animations.
On Limits
An totally different way of explaining limits, along with excellent animations.
A calculus course
A nice online calculus course by David Guichard
Math Scholar
This site publishes essays, news items, quotations and book reviews. Posts range from notices of new mathematical discoveries to exploring the meaning of recent discoveries in physics, biology and computer science.