MATH 1010-1

Brief

1. Limits and Continuity. 2. Differentiation. 3. The Mean-Value Theorem; Applications of the First and Second Derivatives. 4. Integration. 5. Some Applications of the Integral. 6. The Transcendental Functions. 7. Techniques of Integration. 8. Differential Equations. 9. Conic sections and polar coordinates. (if time allows)

Description

Course keywords: 極限limit,微分derivative,均值定理mean-value theorem,積分integration,微積分基本定理,Fundamental theorem of calculus 一、課程說明(Course Description) 本學期之學習目標包含單變數(one variable)之微分(derivative)及積分(integration), 以及一些簡單的應用. 二、指定用書(Text Books) Salas, Hille, Etgen: Calculus - One and Several Variables, John Wiley & Sons, Tenth edition, 2007. 三、參考書籍(References) 四、教學方式(Teaching Method) 上課以國語講解,以英語板書,測驗題目亦採英文,建議以英語練習寫習題。 五、教學進度(Syllabus) 1. Limits and Continuity. 2. Differentiation. 3. The Mean-Value Theorem; Applications of the First and Second Derivatives. 4. Integration. 5. Some Applications of the Integral. 6. The Transcendental Functions. 7. Techniques of Integration. 8. Differential Equations. 9. Conic sections and polar coordinates. (if time allows) 六、成績考核(Evaluation) Quiz 25 %, Midterm I 25 %, Midterm II 25 %, Final 25% 七、可連結之網頁位址 http://en.wikipedia.org/wiki/Calculus

Prerequisites

Timetable

Remarks

演習課時間為M19:00-21:00

Restrictions

數學系大學部1年級,理學院學士班大學部1年級優先，第3次選課起開放全校修習

Compulsory

Elective

Cross Discipline

First Specialization

Second Specialization