| 當期課號 |
1069 |
Course Number |
1069 |
| 授課教師 |
顏炘怡 |
Instructor |
YEN,HSIN YI |
| 中文課名 |
微積分 |
Course Name |
Calculus |
| 開課單位 |
財務金融系(四日)一C |
Department |
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| 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 |
Applied Calculus For The Managerial, Life, And Social Sciences. (6th Edition), Tan |
Teaching Materials |
Applied Calculus For The Managerial, Life, And Social Sciences. (6th Edition), Tan |
| 成績評量方式 |
期中考30%,期末考30%,平時40% |
Grading |
Midterm Exam 30%
Final Exam 30%
Participation+Quiz+Homework 40% |
| 教師網頁 |
|
| 教學內容 |
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
6.1 Antiderivatives and the Rules of Integration
6.2 Integration by Substitution
6.3 Area and the Definite Integral
6.4 Fundamental Theorem of Calculus
6.5 Evaluating Definite Integrals
6.6 Area between Two Curves
7.1 Integration by Parts
7.3 Numerical Integration
7.4 Improper Integrals
8.1 Functions of Several Variables
8.2 Partial Derivatives
8.7 Double Integrals |
Syllabus |
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
6.1 Antiderivatives and the Rules of Integration
6.2 Integration by Substitution
6.3 Area and the Definite Integral
6.4 Fundamental Theorem of Calculus
6.5 Evaluating Definite Integrals
6.6 Area between Two Curves
7.1 Integration by Parts
7.3 Numerical Integration
7.4 Improper Integrals
8.1 Functions of Several Variables
8.2 Partial Derivatives
8.7 Double Integrals |