## 基本素養 Basic Literacy

Ethics and humanities

Integrity and pragmatic literacy

Environmental and social care

Possessing the ability of global view

## 核心能力 Competence

Apply knowledge of mathematics, science & engineering.

Design & operation of experiments, analysis and interpretation of data.

Necessary Technology, skill & modern tool usage for naval or mechatronic engineering.

Design systems, components or processes for naval or mechatronic engineering.

Project Management, effective Communication, and multidisciplinary teamwork.

Identify, formulate & solve engineering problems using reasoning of naval or mechatronic engineering.

Interested in global current issues, understand the impact of engineering techniques in societal, environmental and global contexts, and develop habit of life-long learning.

Respect for multi-perspective, understand professional ethics & recognize social responsibilities of engineers.

## 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

• 級數展開、極座標及空間中曲線的微積分
• 多變數微分
• 多變數積分
• ## 課程進度 Progress Description

進度說明 Progress Description
1課程簡介及複習
2數列與級數的收斂
3極座標上的微積分
4三維空間
5空間中的曲線
6曲率是什麼？
7多變量函數的微分
8多變量函數微分的應用
9複習及期中測驗
10多變量函數的積分
11多變量函數的積分技巧：猜、拆
12多變量函數的積分技巧：換-變數變換
13多變量函數的積分技巧：分-分部積分
14多變量函數的積分技巧：積分順序的改變
15何謂梯度、旋度、及散度
16梯度定理、散度定理、Stoke's Theorem
17曲面上的積分
18複習及期末測驗
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