若欲以數量化的方式刻畫系統或問題,並且據此預測系統的行為或是尋求問題的解答,微積分是最重要的數學工具之一。以微積分為基礎的理論或應用包括:機率學、統計學、工程數學、作業研究、甚至人工智慧等、計量經濟學。本課程將引導同學學習單變數函數微積分的觀念,並且透過習題演練,使同學在學習過程中達成以下目標:
1. 學習單變數數函數的微分的觀念、並熟練其計算與應用。
2. 學習單變數數函數的積分的觀念、並熟練其計算與應用。
3. 如何將單變數函數微積分應用在經濟、金融與其它社會科學領域。If you want to characterize a system or problem in a quantitative way and predict the behavior of the system or find a solution to the problem, calculus is one of the most important mathematical tools. Theories or applications based on calculus include: probability, statistics, engineering mathematics, homework research, and even artificial intelligence, econometrics. This course will guide students to learn the concept of single-variable function calculus, and through exercises, students will achieve the following goals in the learning process:
1. Learn the concept of differential calculus of single-variable numerical functions and become proficient in its calculation and application.
2. Learn the concept of integrals of single-variable numerical functions and become proficient in its calculation and application.
3. How to apply single-variable function calculus in economics, finance and other social science fields.
微積分是討論 ”極限(Limit)” 這一觀念的數學。有兩種特定的極限定義,分別稱作微分(Differentiation)和積分(Integration)。本課程之內容即為極限、微分、和積分之觀念及應用。
Calculus is mathematics that discusses the concept of "limit". There are two specific definitions of limits, called differentiation and integration. The content of this course is the concepts and applications of limits, differentials, and integrals.
Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded edition 11/e Hoffmann.
applied calculus for business, economics, by map and social and life sciences, expanded edition 11/E Hoffman N.
評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
---|---|---|
作業作業 Homework |
30 | 每週依教學進度指派習題, 繳交後由助教批給分。 |
考試考試 exam |
70 | 期中考35%、期末考35% |