AP12年級微積分

課程: AP 微積BC12 年級)

補習級 高級

授課目標:? 以精準完備系統設計,踏實長遠的學習計劃,高效快速的補習方式提高學生理解原理的能力、邏輯推理和分析能力、技巧與策略的解題能力。 通過學習激發出學生的創造性思維和有效溝通能力。從而提高對微積分的喜愛與理解把握以下:

  • 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

授課內容:

  • 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) 以課本為主; 或 ii)以作業練習為主

注:i)以課程為主的主要是學前的提前預習式補習。 基礎理論占70%,作業練習占30%。

?????? ii)以作業為主的一般是跟著學校本學期的進度走,理論課和作業練習各占50%。

授課時間:

i) 以課程為主的模式共30小時。有需求者可多加15小時的作業做題練習。還可再加 15小時如果是要準備AP考試的學生;

ii ) ?以作業練習為主的補習時間主要是與學校本學期或學年進度同步來定。

評估考核:??? 學生進步程度將由定期的單元作業和平時測驗標準來進行評估。