一、 科目名稱: (Course Title) |
微積分(一) 4IM00591 |
二、 授課班別: (Class) |
4IM9202班
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三、 授課時數: |
2 學分(Credits) 2 小時(Hours)
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四、 授課教師: (Instructor) |
教師 (Instructor's Name) |
輔導時間地點(星期/節次/地點) (Office Hours) |
分機 (Extension) |
e_mail |
張簡文添 |
|
07-7811151轉5729 |
SC102@fy.edu.tw |
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五、 先修科目: (Prerequisites) |
(無)
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六、 課程概述: (Course Description) |
本課程主要介紹微分的概念與應用範疇,探討函數圖形、極限定義、微分定義、微分意義、各種(多項式、指數、對數、三角)函數微分,培養學生理性思辨、與人溝通表達能力,及賞析微積分之美,達成終身學習。 |
七、 課程目標: (Course Objectives) |
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八、 授課大綱: (Syllabus) |
Chapter 1.PRELIMINARIES 1.1.Precalculus Review I 1.2.Precalculus Review II 1.3.The Cartesian Coordinates System 1.4.Straight Lines Chapter 2.FUNCTIONS, LIMITS, AND THE DERIVATIVE 2.1.Functions and Their Graphs 2.2.The Algebra of Functions 2.3.Functions and Mathematical Models 2.4.Limits 2.5.One-Sided Limits and Continuity 2.6.The Derivative Chapter 3.DIFFERENTIATION 3.1.Basic Rules of Differentiation 3.2.The Product and Quotient Rules 3.3.The Chain Rule 3.4.Marginal Functions in Economics 3.5.Higher-Order Derivatives 3.6.Implicit Differentiation and Related Rates 3.7.Differentials Chapter 4.APPLICATIONS OF THE DERIVATIVE 4.1.Applications of the First Derivative 4.2.Applications of the Second Derivative 4.3.Curve Sketching 4.4.Optimization I 4.5.Optimization II Chapter 5.EXPONENTIAL AND LOGARITHMIC FUNCTIONS 5.1.Exponential Functions 5.2.Logarithmic Functions 5.3.Compound Interest 5.4.Differentiation of Exponential Functions 5.5.Differentiation of Logarithmic Functions 5.6.Exponential Functions as Mathematical Models |
九、 教學方法: (Teaching Methods) |
課堂講授&隨堂測驗 |
十、教材(教科書): (Teaching Materials) |
1.書名: Applied Calculus 出版商:THOMSON,BROOKS/COLE 作者:TAN 2.書名:微積分(修訂版) 出版商:全華科技圖書 作者:黃學亮 編著
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十一、評值方法: (Evaluation Methods) |
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十二、參考書目: (References) |
書名:實用微積分 作者:林哲彥,李英豪,朱蘊 出版商:滄海書局 |
十三、授課語言: (Language of Instruction) |
主要授課語言:國語 次要授課語言:國語 |
十四、教學型態: (Course Instruction Type) |
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請師生遵守智慧財產權,使用正版教科書,不得不法影印。 |