AP12年级微积分

AP12年级微积分

授課目标:  以精准完备系统設計,踏实长远的学习计划,高效快速的补习方式提高学生理解原理的能力、逻辑推理和分析能力、技巧与策略的解題能力。 通过学习激发出学生的创造性思维和有效沟通能力。從而提高对微积分的喜爱与理解把握以下:

  • Principles and theorem of limits and ordinary
  • Rules of differentiation, operations of 1st and 2nd
  • Application of differentiation to problem solving, graphing and linear approximation.
  • Principles and theorem of anti-derivative and integration.
  • Rules of integration and application of integration to geometric shapes.
  • Sequences and series, its convergence and divergence
  • Polar coordinates and
  • Principles of Taylor, Maclaurin and power
  • Limits, continuity, differentiability of
  • Rules of explicit and implicit differentiation, 1st and 2nd order ordinary derivatives
  • Critical points, curve sketching of functions, linear
  • Law of anti-derivatives, definite and indefinite
  • Proper and improper integrals, application of integrals to area and volume of revolution.
  • Techniques of integration, curvature, and arc length of functions.
  • Infinite series and sequences, tests of
  • Taylor, Maclaurin, power

授課方式:  ii) 以課本为主; 或 ii)以作业练习为主

注:i)以课程为主的主要是学前的提前预习式补习。 基础理论占70%,作业练习占30%。

       ii)以作业为主的一般是跟着学校本学期的进度走,理论课和作业练习各占50%。

i) 以课程为主的模式共30小时。有需求者可多加15小时的作業做题练习。还可再加 15小时如果是要准备AP考试的学生;

ii )  以作业练习为主的补习时间主要是与学校本学期或学年进度同步来定。

评估考核:    学生进步程度将由定期的单元作业和平时测验标准来进行评估。