12年级微积分
课程:微积分(12 年级)
补习级别: 高级
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 differentiation.
- Rules of differentiation, operations of 1st and 2nd derivatives.
- 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.
授課内容:
- Limits, continuity, differentiability of functions.
- Rules of explicit and implicit differentiation, 1st and 2nd order ordinary derivatives
- Critical points, curve sketching of functions, linear approximation.
- Law of anti-derivatives, definite and indefinite integrals.
- Proper and improper integrals, application of integrals to area and volume of revolution.
- Techniques of integration.
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%。
授课时间:
i) 以课程为主的模式共45小时。有需求者可多加15小时的作業做题练习。
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。