Looking for a good Home Study Refresher Course in Mathematics?

Question

The course should cover in a systematic way, basic mathematics from the high-school level all the way to college level advanced subjects in the mathematics of integral and differential calculus, but only mathematics. Nothing else. Cost of such a program isn't an issue.

Any ideas?

Answer 1

Elementary mathematics consists of mathematics topics frequently taught at the primary and secondary school levels. The most basic are arithmetic and geometry. The next level is probability and statistics, then algebra, then (usually) trigonometry and pre-calculus.
http://en.wikipedia.org/wiki/Basic_mathematics

http://en.wikipedia.org/wiki/Geometry
Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the third century B.C. geometry was put into an axiomatic form by Euclid, whose treatment set a standard for many centuries to follow. Astronomy served as an important source of geometric problems during the next one and a half millenia.

http://en.wikipedia.org/wiki/Pre-calculus
In mathematics education, precalculus, an advanced form of secondary school algebra, is a foundational mathematical discipline. It is sometimes considered to be an honors course. Courses and textbooks in pre-calculus are intended to prepare students for the study of calculus. Pre-calculus typically includes a review of algebra, as well as an introduction to exponential, logarithmic, and trigonometric functions and analytic geometry. Equivalent college courses are introduction to analysis, college algebra, and trigonometry.

Answer 2

Depending on how diligent/prepared you are you might be able to start with any Algebra 2 textbook. It will begin with a review of operations with real numbers and move on from there. You will get a good foundation in almost all the elementary functions. It that goes smoothly move into a good precalc book. I like Larson, Hostetler precalc and Calc textbooks. Chalkboard Productions has some really user friendly math videos. The systematic approach you mention occurs naturally in math textbooks. Start at ch. 1 and move right ! Good luck!

Answer 3

Purchase books that cover those specific topics and do the lessons within. It should work good for refreshment purposes.