青苹果

我在美国高中念书。。现在有precalculus 和AP-Calculus。。。

precalculus基本就是为今后的微积分作铺垫的。。不是太难，大概就国内高一高二的入门，内容广，但是涉及不深。。微积分本身就是门很难的课。但是如果预科学好了还是不错的

In American mathematics education, precalculus, (or Algebra 3 in some areas) an advanced form of secondary school algebra, is a foundational mathematical discipline. It is also called Introduction to Analysis. In many schools, precalculus is actually two separate courses: Algebra and Trigonometry. Precalculus does not prepare students for calculus as pre-algebra prepares students for Algebra I. While pre-algebra teaches students many different fundamental algebra topics, precalculus does not involve calculus, but explores topics that will be applied in calculus. Some precalculus courses might differ with others in terms of content. For example, an honors level course might spend more time on topics such as conic sections, vectors, and other topics needed for calculus. A lower level class might focus on topics used in a wider selection of higher mathematical areas, such as matrices which are used in business.

In detail, precalculus deals with:

Sets
Real numbers
Complex numbers
Solving inequalities and equations
Properties of functions
Composite functions
Polynomial functions
Rational functions
Trigonometry
Trigonometric functions and their inverses
Trigonometric identities
Conic sections
Exponential functions
Logarithmic functions
Sequences and series
Binomial theorem
Vectors
Parametric equations
Polar coordinates
Matrices
Mathematical induction
Limits

微积分（Calculus）是高等数学中研究函数的微分、积分以及有关概念和应用的数学分支。它是数学的一个基础学科。内容主要包括极限、微分学、积分学及其应用。微分学包括求导数的运算，是一套关于变化率的理论。它使得函数、速度、加速度和曲线的斜率等均可用一套通用的符号进行讨论。积分学，包括求积分的运算，为定义和计算面积、体积等提供一套通用的方法。