AP Calculus

招⽣对象
希望申请理⼯专业, 需要理保证全A的⾼中⽣；理科基础薄弱, 需夯实基础全⾯提升理科实⼒的⾼中⽣；在校全英⽂授课不能完全理解,且急需得到数学分数并提⾼语⾔能⼒的学⽣。

课程特⾊
汇编BC省及College board AP教材教材并参考国内⾼中⼤学微积分教学⽅案撰写

SpAce独家Calculus课本课程分为4⼤模块。

1. 函数和极限(Functions and limits)
   1. 函数(Functions)
   2. 函数图像分析(Analysis of graphs)
   3. 函数的极限(包括单侧极限) (Limits of functions w/ one-sided limits)
   4. 渐进和⽆穷(Asymptotic and unbounded behavior)
   5. 函数的连续性(Continuity as a property of functions)

1. 导数(Derivatives)

1. 1. 导数的概念(Concept of the derivative)
   2. 在⼀个点处的导数(Derivative at a point)
   3. 导函数(包括中值定理等) (Derivative as a function)
   4. ⼆阶导数(Second derivatives)
   5. 导数的应⽤(Applications of derivatives)
   6. 导数的运算(Computation of derivatives)

1. 积分(Integrals)

1. 1. 定积分的概念和性质(Interpretations and properties of definite integrals)
   2. 积分的应⽤(Applications of integrals)
   3. 微积分基本定理(Fundamental Theorem of Calculus)
   4. 不定积分(Techniques of Antidifferentiation)
   5. 不定积分的应⽤( Applications of Antidifferentiation)
   6. 定积分的数值计算( Numerical approximations to definite integrals)

1. 多项式估算和级数 (Polynomial Approximations and Series)

1. 1. 级数的定义(Concept of series)
   2. 常数项级数(Series of constant terms)
   3. 泰勒级数 (Taylor series)
      课程逻辑结构紧密由易到难，便于学⽣接受理解，充⾜的课后练习题，使得学⽣

可以将课堂所学知识得以延伸和应⽤。

结课⽬标： 期末成绩拿A