中文科目名稱

微積分(一)

英文科目名稱

Calculus(Ⅰ)

班 別

學士班

科目代碼

AM__10000

學分數

3

時 數

3

一•課程目標：

Calculus provides a tool for solving problems involving motion.

The derivative is useful in the study of rates of change of many

entities. The definite integral also has many applications in the sciences.

二•資源需求評估：(師傅專長之聘任，儀器設備的配合…等)

(應用數學系專任教師支援)

三•先修課程：

無

　

四•課程綱要：(說明內容主要範疇)

1. Limits and continuity of functions.

2. The derivative and its applications.

3. The definite integral and its applications.

4. Exponential and logarithmic functions.

5. Other transcendental functions (e.g. Derivatives, integrals of

the trigonometric functions, the hyperbolic functions)

6. Additional techniques and applications of integration.

五•教學要求進行方式之建議：

Lectures, discussions, homeworks, quizzes, midterm and final

exams.

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中文科目名稱

微積分(二)

英文科目名稱

Calculus(Ⅱ)

班 別

學士班

科目代碼

 

學分數

3

時 數

3

一•課程目標：

Calculus provides a tool for solving problems involving motion.

The derivative is useful in the study of rates of change of many

entities. The definite integral also has many applications in the sciences.

　

二•資源需求評估：(師傅專長之聘任，儀器設備的配合…等)

應用數學系專任教師支援

三•先修課程：

無

　

四•課程綱要：(說明內容主要範疇)

1. Improper integrals and Taylor formula.

2. Infinite series.

3. Polar coordinates.

4. Vector-valued functions.

5. Partial differentiation and Chain rule.

6. double integrals.

五•教學要求進行方式之建議：

Lectures, discussions, homeworks, quizzes, midterm and final

exams.

六•其他：