基本素養 Basic Literacy
□ 文化傳承
Culture transition
□ 歷史意識
Historical consciousness
□ 藝術涵養
Artistic literacy
□ 公民素養
Civil literacy
□ 社會關懷
Social concern
■ 經世濟民
Benefit people and the society
□ 國際視野
International Perspective
核心能力 Competence
■ 鞏固系定基礎知識
Consolidate fundamental knowledge in economics
□ 獲得跨領域的多樣化知識
Acquire diversified knowledge from interdisciplinary fields
□ 熟悉經濟分析工具
Be familiar with tools for economic analysis
□ 擴展經濟應用
Expand economic applications
□ 語文與溝通能力
Language proficiency and communication ability
□ 創新與領導能力
Innovative and Leadership Abilities
課程概述 Course Description
本課程以微積分(一)的 觀念為基礎，我們將討論在多維空間中函數的微分和積分。我們亦討論向量值函數和多變量的函數。Based on the previous course , we discuss both differential calculus and integral calculus in multidimensional real spaces. We consider vector-valued functions and functions of several variables.
課程學習目標 Course Objectives
課程進度 Progress Description
| 進度說明 Progress Description | |
|---|---|
| 1 | Review of Calculus I |
| 2 | Volume of 3D objects, Cylindrical Shells |
| 3 | Arc Length of Curves |
| 4 | Area of Surfaces |
| 5 | First-Order Linear Differential Equations |
| 6 | Second Order Differential Equations |
| 7 | Convergence test of Power Series |
| 8 | Taylor Series |
| 9 | Midterm Exam |
| 10 | Functions of Several Variables and Partial Derivatives |
| 11 | Directional Derivatives and the Gradient Vector |
| 12 | Maximum, Minimum and Lagrange Multipliers |
| 13 | Optimization Problems and Least Squares Regression |
| 14 | Double Integrals |
| 15 | Polar Coordinates and Jacobian |
| 16 | Change Variables in Multiple Integrals |
| 17 | Triple Integrals |
| 18 | Final Exam |
以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.
有關課程其他調查 Other Surveys of Courses
1.本課程是否規劃業界教師參與教學或演講? 否Is there any industry specialist invited in this course? How many times? No
2.本課程是否規劃含校外實習(並非參訪)? 否
Are there any internships involved in the course? How many hours? No
3.本課程是否可歸認為學術倫理課程? 否
Is this course recognized as an academic ethics course? In the course how many hours are regarding academic ethics topics? No
4.本課程是否屬進入社區實踐課程? 否
Is this course recognized as a Community engagement and Service learning course? Which community will be engaged? No