Advanced mathematics is a compulsory course in many departments of colleges and universities, which contains a wide range of contents. Usually, the basic three subjects are advanced algebra mathematical analysis and spatial analytic geometry, so advanced algebra should be a part of high school mathematics. Of course, this should be a very important basic part of advanced mathematics. On this basis, we can develop or further learn many other mathematical professional knowledge. In fact, more people in colleges and universities will study independently, some subjects that may be needed.