微積分

臺北科技大學 115-1 學期課程,課號 362748。

課程大綱

CALCULUS (I): This course aims at developing comprehension of derivation and integral、activating capabilities of logic inference and induction、enlightening confidence and independence、strengthening calculating abilities with an emphasis on its application and diagram、furnishing a sound basis for future specialty. The content of Calculus(I) includes: 1.Functions and Models, 2.Limits and Derivatives, 3.Differentiation Rules, 4.Applications of Differentiation, 5.Integrals, 6.Applications of integration, 7.Techniques of integration 8. Futher Applications of Integration, 9.Parametric equations and polar coordinates 10. Sequences, Series, and Power series, 11.Vectors and the geometry of space 12.Partial derivatives 13.Multiple integrals

課程進度

Week 1~ 2 : Chapter 1 : Functions and Models Week 3~ 5 : Chapter 2 : Limits and Derivatives Week 6~ 9 : Chapter 3 : Differentiation Rules Week 10~ 13 : Chapter 4 : Applications of Differentiation Week14~15 : Chapter 5 : Integrals Week 16 : Final exam Week 17~18 : Flexible Learning

評量方式

In-class participation: 10% Quizzes: 10% Homework: 5% 2 Tests (not including Final exam): 40% (twice) Final exam : 30% Flexible learning report: 5%

教材

【遵守智慧財產權觀念,請使用正版教科書,不得使用非法影印教科書】 使用外文原文書:是 1.Textbook: Essential Calculus Metric Version Early Transcendentals (2e) Author: James Stewart, Daniel Clegg, Saleem Watson 2.Reference book: 書名:Calculus 作者:吳舜堂、洪春凰、林建洲、林建仲、林晶璟、劉國安 書名:Thomas' Calculus Early Transcendentals (12th edition) Author: George B. Thomas , Maurice D. Weir , Joel Hass