讓學生了解微積分基本概念及學得解決相關數學問題之計算能力。
The purpose of this course is not only to give students the basic concepts of calculus but also train the students to have good calculation skills for solving methematical problems.
先修科目Prerequisites
微積分(I)
Calculus(I)
教學方式Teaching Methods
評量方式Assessment
期中考試: 30%; 期末考試: 30%; 作業,出缺勤,小考:40%
Midterm Exam(30%); Final Exam(30%); and Homework, Attendance, Quiz(40%)
2010/06/14 期末考
Final exam
2010/02/22 反導數與積分定理
Antiderivatives and the rules of integration
2010/03/01 指數函數和對數函數積分
Exponential and logarithmic integral, the fundamental theorem of calculus
2010/03/08 面積分與定積分
Area between two curves and definite integral
2010/03/15 旋轉體體積分和變數代換積分
Volumes of solids of revolution, integration by substitution
2010/03/22 積分單元 小考I
Quiz I / integration by parts
2010/03/29 積分表
Integration using tables of integrals
2010/04/12 多變數函數
Functions of Several Variables
2010/04/19 期中考
Midterm exam
2010/04/26 偏導數
Partial Derivatives
2010/05/03 極大極小多變數,拉格朗日乘數法
Maxima and Minima of Functions of Several Variables and the method of Lagrange multipliers
2010/05/10 最小平方法與重積分
The Method of Least Squares and Double Integrals
2010/05/17 積分應用小考II和三角函數
Quiz II / Applications of Double Integrals and Trigonometric Funtions
2010/05/24 圖解三角函數和三角函數導數
Graphy of Trigonometri Function and Derivatives of Trigonometric Function
2010/05/31 三角函數積分和羅畢達定理
Integrals of Trigonometric Functions and L'Hopital's Rule
2010/06/07 冪級數和泰勒定理
Power Series and Taylor Theorem