## 基本素養 Basic Literacy

Culture transition

Historical consciousness

Artistic literacy

Civil literacy

Social concern

Benefit people and the society

International Perspective

## 核心能力 Competence

Consolidate fundamental knowledge in economics

Acquire diversified knowledge from interdisciplinary fields

Be familiar with tools for economic analysis

Expand economic applications

Language proficiency and communication ability

## 課程概述 Course Description

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

• 暸解微積分的涵義及其應用
• 探討多變數函數的微分及積分
• 使學生暸解課程內容的基本概念，以期達到與實際問題的應用作結合
• ## 課程進度 Progress Description

進度說明 Progress Description
1Chapter 7.1 Applications of Integration: Area between Curves
2Chapter 7.2 Applications of Integration: Volume of 3D objects
3Chapter 7.3 Applications of Integration: Arc Length
4Chapter 7.4 Applications of Integration: Volume by Cylindrical Shells
5Chapter 7.5 Applications of Integration: Area of Surfaces
6Chapter 7.7 Applications of Integration: Differential Equations
7Chapter 8 Series: Taylor Series
8Chapter 8 Series: Taylor Series (II)
9Chapter 8 Series: Convergence Tests
10Chapter 9.1-9.2 Parametric curves
11Chapter 9.3-9.4 Polar Coordinates
12Chapter 11.5 Partial Derivatives: Chain Rules
13Chapter 11.6 Partial Derivatives: Directional Derivatives
14Chapter 11.7 Partial Derivatives: Maximum & Minimum
15Chapter 12.1-12.4: Multiple integrals: Double Integrals
16Chapter 12.5-12.7: Multiple integrals: Triple Integrals
17Chapter 12.5-12.7: Multiple integrals: Triple Integrals (II)
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