科目名稱:理工微積分

授課老師:張守德

上課時間:星期二、四 10:10am12:00pm

習題課時間:星期一 12:101:00pm

教科書:Stewart, Clegg and Watson, Calculus, metric version, 9th ed.

課程內容:

1.     Sequences and infinite series

2.     Power series and Taylor Theorem

3.     Vector-valued functions of one variable

4.     Parametrization, curvilinear motion, arc length and curvature

5.     Introduction to functions of several variables: limits, continuity, graphs, level curves, etc

6.     Partial derivatives

7.     Gradients and directional derivatives

8. Extreme values

9. Double integrals and triple integrals

10. Line integrals

11. Greens Theorem

12. Surface integrals

13. Divergence Theorem and Stokes Theorem

計分方式:平時成績20%,期中考40%,期末考40