MATH 1010-4

Brief

1. 熟悉數學函數及邏輯。 2. 無限，極限觀念的建立。 3. 熟練微分及積分技巧與應用。 1. Be familiar with logic and functions. 2. Understand the concept of infinity and limit. 3. Master the techniques and applications of differentiation and integration.

Description

Course keywords: 函數，無限，極限，連續，可微分，積分 , Function, Infinity, Limit, Continuity, Differentiable, Integration 一、課程說明(Course Description) First Semester: 1. FUNCTIONS AND LIMITS. 2. DERIVATIVES. 3. APPLICATION OF DIFFERENTIATION. 4. INTEGRALS. 5. APPLICATIONS OF INTEGRATION. 6. INVERSE FUNCTIONS: EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS. 7. TECHNIQUES OF INTEGRATION. 8. FURTHER APPLICATIONS OF INTEGRATION. Second Semester: 9. DIFFERENTIAL EQUATIONS. 10. PARAMETRIC EQUATIONS AND POLAR COORDINATES. 11. INFINITE SEQUENCES AND SERIES. 12. VECTORS AND THE GEOMETRY OF SPACE. 13. VECTOR FUNCTIONS. 14. PARTIAL DERIVATIVES. 15. MULTIPLE INTEGRALS. 16. VECTOR CALCULUS. 17. SECOND-ORDER DIFFERENTIAL EQUATIONS. 二、指定用書(Text Books) Calculus, International Metric Version 8th Edition by James Stewart 三、參考書籍(References) 老師講義 四、教學方式(Teaching Method) 課堂講演(Lecture) 助教演習課(TA Recitation) 五、教學進度(Syllabus) 按照課本章節,約2-3星期講授一章 六、成績考核(Evaluation) Homework,平時考.期中考.期末考 七、可連結之網頁位址

Prerequisites

Timetable

Remarks

演習課時間為M19:00-21:00，地點為化125 、化二223、醫環110

Restrictions

醫環系大學部1年級,化學系大學部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