| 當期課號 |
3021 |
Course Number |
3021 |
| 授課教師 |
賴慶祥 |
Instructor |
LAI,CHING HSIANG |
| 中文課名 |
微積分 |
Course Name |
Calculus |
| 開課單位 |
財務金融系(四進)一A |
Department |
|
| 修習別 |
必修 |
Required/Elective |
Required |
| 學分數 |
3 |
Credits |
3 |
| 課程目標 |
著重在積分的介紹與應用.此課程乃要幫助學生學會反導數,以及它的推導和應用.另外也要幫助學生學會並運用部分積分和重積分的工具,去解決複雜的積分問題.若時間許可,泰勒多項式和無窮級數也會包含在此課程中,因其在財務金融的領域上也是常被用到的工具. |
Objectives |
This course will involve introduction to integration, the method of integration, the application of definite integration, partial derivatives, multi-integration, and, if time allowing, differential equations and Taylor polynomials and infinite series. |
| 教材 |
Tan, Applied Calculus (7th ed.), Thomson. |
Teaching Materials |
Tan, Applied Calculus (7th ed.), Thomson. |
| 成績評量方式 |
期中考：30%
期末考：40%
小考：1~2次 合計 10%
作業：1~2次 合計 10%
出席：10% (每次缺席扣2分) |
Grading |
Midterm Exam：30%
Final Exam：40%
Quiz (1~2): 10%
Homework (1~2): 10%
Attendance: 10% |
| 教師網頁 |
|
| 教學內容 |
1. Introduction
2. Mathematical Definition of Limits
3. Limits
4. Continuity
5. The Derivative
6. Rules for Differentiation
7. Differentiability and Continuity
8. Product and Quotient Rules
9. The Chain Rule and Extended Power rule
10. Midterm Exam
11. Derivatives of the Trigonometric Functions
12. Derivatives of the Exponential and Logarithm Functions
13. Rolle’s Theorem and the Mean Value Theorem
14. Newton’s Iterative Procedure for Solving Equations
15. Curve Sketching
16. Absolute Maximum and Minimum
17. L'Hopital's Rule
18. Final Exam |
Syllabus |
1. Introduction
2. Mathematical Definition of Limits
3. Limits
4. Continuity
5. The Derivative
6. Rules for Differentiation
7. Differentiability and Continuity
8. Product and Quotient Rules
9. The Chain Rule and Extended Power rule
10. Midterm Exam
11. Derivatives of the Trigonometric Functions
12. Derivatives of the Exponential and Logarithm Functions
13. Rolle’s Theorem and the Mean Value Theorem
14. Newton’s Iterative Procedure for Solving Equations
15. Curve Sketching
16. Absolute Maximum and Minimum
17. L'Hopital's Rule
18. Final Exam |