The course is intended as a survey of elementary techniques in inequalities for novices and non-experts. Experts in the field seeking new, original, or research topics should look elsewhere. This is strictly for beginners!
Prerequisites for a thorough understanding of the course are essentially calculus (although a bit of advanced calculus would prove helpful in spots) and a first course in linear algebra (through eigenvalues).
There is enough material here for roughly 24 hour-and-a-half lectures; probably not quite enough for a full semester course. On the other hand, this would make excellent fodder for a problem-solving course or a student seminar. I should also point out that the choice of topics reflect my personal interests and I make no claims that they will suit everyone's tastes.
The notes are available here in pdf format. The file is roughly 1Mb and the printed version is 93 pages.