Math is fun. It is inherently interesting, and the beauty and symmetry of mathematics reveal far more about our universe than something so purely abstract should ever be able to do. I enjoy learning more about mathematics.
And yet, when you lose the train of thought, mathematics immediately become incomprehensible, frustrating, and hard. I firmly believe that it is because most of us are not truly able to learn mathematics at our own pace that so many of us are turned off it. Once you get lost, in math, it becomes a very unpleasant place to be. Our eyes glaze over before a maze of incomprehensible squiggles, and what should be a simple, elegant proof becomes meaningless gobbledygook instead.
Two things result from this. One is, that following mathematics lectures on iTunes U is in many ways a godsend: you can stop and rewind the lecturer as many times as you want to, and it is simple and easy to go back and listen to any lecture that you haven't totally grasped again. You can have things explained to you at your own pace, and so make progress that you might not have been able to in a traditional school setting.
It also follows, though, that recommending a lecture is a very hard thing to do, since according to the reader's level of ability, the choices range from the the dull and oversimplified to the maddeningly advanced and incomprehensible. But one man's remedial refresher is another man's cutting edge, depending on where our mathematics education stopped, or how much we have forgotten since school.
Matrix operations were one of the areas of high school mathematics that I most enjoyed, back in the day. I remember being fascinated by the interesting properties of matrices and the surprising ways they interacted, and the simple patterns of operations one used in manipulating them. I have not touched them since high school, however, so I did not remember much of anything about them except what they looked like.
Linear algebra may be a topic in high school math (Algebra II, if I remember my high school curriculum correctly), but it is a topic that goes deep enough to merit a semester long course at MIT. There is some cachet to being able to follow a mathematics lecture at MIT, which makes following this course even more fun. What MIT really deserves recognition for, though, is what an incredible contribution they make, through iTunes U and OpenCourseWare, to desseminating knowledge and making so much of their world-class programme availible for free on the internet, to anyone in the world. This will not be the last time I recommend a course from MIT in "Best of iTunes U".
Linear Algebra is taught by Gilbert Strang, a former Rhodes scholar (Oxford represent!) and world-renowned mathematician. His lecturing style is well-suited to watching his recorded lectures: he is clear, his worked examples are not beset by implied steps or other obscuring factors, and he is able to keep us interested both in the material at hand, and in its larger implications.
The only criticism I have to this lecture series is that the video is optimised for the iPhone screen. Which is well and good, since I watch it on my phone and would not like to have unnecessarily large files on it. On the other hand, the video quality is too low to view on an iPad (the chalkboard becomes illegible), which is unfortunate since it would be nice to be able to have the option to view the lectures on a larger screen too. Still, it is amazing and fantastic to be able to view lectures from MIT from a renowned professor and teacher, absolutely free, and I am so thankful to have the opportunity. And it is enjoyable to flex those math muscles once again, after all these years.